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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">jbise</journal-id>
      <journal-title-group>
        <journal-title>Journal of Biomedical Science and Engineering</journal-title>
      </journal-title-group>
      <issn pub-type="epub">1937-688X</issn>
      <issn pub-type="ppub">1937-6871</issn>
      <publisher>
        <publisher-name>Scientific Research Publishing</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.4236/jbise.2026.196016</article-id>
      <article-id pub-id-type="publisher-id">jbise-151859</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
        <subj-group>
          <subject>Biomedical</subject>
          <subject>Life Sciences</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Development and Validation of a Vascular Flow Phantom for Doppler Ultrasound Evaluation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Souza</surname>
            <given-names>Millena Victoria Azevedo de</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Vastag</surname>
            <given-names>Fernanda</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Alencar</surname>
            <given-names>Valéria Alves de</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Carrenho</surname>
            <given-names>Henrique Zenga</given-names>
          </name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Caffeu</surname>
            <given-names>Marcia Roberta de Souza</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Silva</surname>
            <given-names>Luiz Carlos da</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Dias</surname>
            <given-names>Jônatas Cerqueira</given-names>
          </name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Dias</surname>
            <given-names>Jeferson Cerqueira</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Filho</surname>
            <given-names>Diolino José dos Santos</given-names>
          </name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
      </contrib-group>
      <aff id="aff1"><label>1</label> Department of Biomedical Systems Technology, Faculty of Technology, Osasco, Brazil </aff>
      <aff id="aff2"><label>2</label> Department of Mechatronic and Mechanical Systems Engineering, University of São Paulo, São Paulo, Brazil </aff>
      <aff id="aff3"><label>3</label> Department of Information Technology, Faculty of Technology, Praia Grande, Brazil </aff>
      <author-notes>
        <fn fn-type="conflict" id="fn-conflict">
          <p>The authors declare no conflicts of interest regarding the publication of this paper.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub">
        <day>15</day>
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="collection">
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <volume>19</volume>
      <issue>06</issue>
      <fpage>189</fpage>
      <lpage>209</lpage>
      <history>
        <date date-type="received">
          <day>
          </day>
          <month>
          </month>
          <year>
          </year>
        </date>
        <date date-type="accepted">
          <day>
          </day>
          <month>
          </month>
          <year>
          </year>
        </date>
        <date date-type="published">
          <day>15</day>
          <month>06</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© 2026 by the authors and Scientific Research Publishing Inc.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access">
          <license-p> This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link> ). </license-p>
        </license>
      </permissions>
      <self-uri content-type="doi" xlink:href="https://doi.org/10.4236/jbise.2026.196016">https://doi.org/10.4236/jbise.2026.196016</self-uri>
      <abstract>
        <p>Vascular flow phantoms are essential tools for the calibration of Doppler ultrasound systems, professional training, and experimental hemodynamic studies. This study aimed to develop and validate a low-cost vascular flow phantom capable of reproducing clinically relevant blood flow patterns, including disturbed and non-laminar conditions, for Doppler ultrasound evaluation. The proposed system consists of tissue-mimicking materials, vessel-mimicking structures, a controlled hydraulic circuit, and an embedded electronic control system based on the ESP32 microcontroller. Metallic spheres were incorporated within the flow channel to generate controlled flow perturbations, enabling the simulation of complex hemodynamic scenarios. Experimental validation was performed using a ultrasound system with standardized acquisition parameters. The phantom successfully reproduced distinct flow regimes, including laminar and turbulent conditions. Quantitative Doppler measurements demonstrated clear differences between flow profiles, including spectral broadening and heterogeneous color flow patterns in regions with induced disturbances, supporting the reproducibility and functional reliability of the proposed system. The results indicate that the developed phantom is suitable for biomedical engineering research, ultrasound training, and functional validation of Doppler imaging systems. Its modular structure also enables future expansion for more complex cardiovascular simulations.</p>
      </abstract>
      <kwd-group kwd-group-type="author-generated" xml:lang="en">
        <kwd>Phantom</kwd>
        <kwd>Tissue-Mimicking Material</kwd>
        <kwd>Doppler Ultrasound</kwd>
        <kwd>Vascular Flow</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>1. Introduction</title>
      <p>Ultrasound phantoms are specially engineered physical models designed to simulate the mechanical and acoustic properties of biological tissues, vessels, and fluids. These models play an essential role in medical education, equipment calibration, quality assurance, and the validation of new diagnostic techniques, particularly in Doppler ultrasonography [[<xref ref-type="bibr" rid="B1">1</xref>]-[<xref ref-type="bibr" rid="B3">3</xref>]]. Their use allows the safe reproduction of clinical conditions without exposing patients to unnecessary procedures, while also enabling reproducible experimental studies under controlled laboratory conditions [[<xref ref-type="bibr" rid="B4">4</xref>]].</p>
      <p>In recent years, the growing use of Doppler ultrasound in vascular diagnosis has increased the demand for reliable simulators capable of reproducing realistic hemodynamic conditions. Doppler ultrasonography is widely used for the assessment of blood flow velocity, direction, turbulence, and vascular abnormalities such as stenosis, reflux, and thrombosis [[<xref ref-type="bibr" rid="B5">5</xref>], [<xref ref-type="bibr" rid="B6">6</xref>]]. Consequently, the availability of robust and reproducible flow phantoms has become increasingly important for both professional training and technical validation of imaging systems [[<xref ref-type="bibr" rid="B7">7</xref>]].</p>
      <p>Traditionally, tissue-mimicking materials such as gelatin, agar, and hydrogels have been widely used in phantom construction because of their acoustic similarity to soft tissues [[<xref ref-type="bibr" rid="B8">8</xref>], [<xref ref-type="bibr" rid="B9">9</xref>]]. Among these materials, polyvinyl alcohol (PVA)-based hydrogels have demonstrated versatility in different imaging applications. However, these materials often present important limitations, including dehydration, low long-term mechanical stability, susceptibility to microbial degradation, and reduced durability under repeated use conditions [[<xref ref-type="bibr" rid="B10">10</xref>]]. These constraints may compromise the reproducibility and lifespan of the phantom, particularly in dynamic flow simulations [[<xref ref-type="bibr" rid="B11">11</xref>]].</p>
      <p>Alternative materials based on paraffin gel, mineral oil, and copolymer systems such as styrene-ethylene/butylene-styrene (SEBS) have emerged as promising solutions to overcome these limitations [[<xref ref-type="bibr" rid="B12">12</xref>]]. Previous studies have demonstrated favorable acoustic propagation speeds and attenuation coefficients in these materials, making them suitable for ultrasound applications [[<xref ref-type="bibr" rid="B13">13</xref>]]. Moreover, paraffin-based and silicone-based systems present improved durability, mechanical resistance, and cost-effectiveness, which are highly desirable characteristics for laboratory and educational use [[<xref ref-type="bibr" rid="B14">14</xref>], [<xref ref-type="bibr" rid="B15">15</xref>]].</p>
      <p>Despite the significant advances reported in the literature, an important scientific and technological gap remains. Most currently available phantoms are limited either to static tissue simulation or to simplified vascular flow representations that do not adequately reproduce the diversity of clinically relevant hemodynamic patterns [[<xref ref-type="bibr" rid="B16">16</xref>], [<xref ref-type="bibr" rid="B17">17</xref>]]. In particular, there is a lack of low-cost, modular physical models capable of simulating multiple flow regimes, including laminar, pulsatile, intermittent, retrograde, and turbulent flow, while simultaneously allowing quantitative Doppler validation [[<xref ref-type="bibr" rid="B18">18</xref>], [<xref ref-type="bibr" rid="B19">19</xref>]].</p>
      <p>This limitation directly affects the training of healthcare professionals, the calibration of ultrasound systems, and the development of new diagnostic methodologies. Furthermore, currently available models often do not include internal structures capable of generating controlled disturbances in the flow field, which are essential for evaluating turbulence, vessel obstruction, and imaging performance [[<xref ref-type="bibr" rid="B20">20</xref>]].</p>
      <p>In addition, the growing need for accessible biomedical simulators reinforces the relevance of this study, particularly in environments where access to commercial solutions is limited [[<xref ref-type="bibr" rid="B21">21</xref>], [<xref ref-type="bibr" rid="B22">22</xref>]].</p>
      <p>Therefore, this study aims to develop and experimentally validate a vascular flow phantom for Doppler ultrasound evaluation capable of reproducing multiple physiologically relevant hemodynamic patterns. The proposed system integrates tissue-mimicking materials, controlled fluid circulation, and internal markers for the generation of distinct flow behaviors, including laminar and turbulent regimes. The main objective is to provide a robust, accessible, and reproducible platform for Doppler ultrasound validation, professional training, and vascular research applications.</p>
      <p>The central hypothesis of this work is that the integration of durable tissue-mimicking materials with a dynamically controlled vascular flow circuit can produce a realistic and quantitatively reliable phantom suitable for simulating clinically relevant Doppler conditions and improving diagnostic training and equipment validation.</p>
      <p>The central hypothesis of this work is that the integration of durable tissue-mimicking materials with a dynamically controlled vascular flow circuit can produce a realistic and quantitatively reliable phantom, suitable for simulating clinically relevant Doppler conditions and improving the quality of diagnostic training and equipment validation.</p>
    </sec>
    <sec id="sec2">
      <title>2. THEORETICAL FOUNDATION OR LITERATURE REVIEW</title>
      <sec id="sec2dot1">
        <title>2.1. Ultrasound</title>
        <p>Ultrasound (US) consists of mechanical waves with frequencies above the human audible threshold, typically ranging from approximately 20 kHz to several megahertz, depending on the diagnostic application [[<xref ref-type="bibr" rid="B12">12</xref>], [<xref ref-type="bibr" rid="B13">13</xref>]]. Over recent decades, technological advances have significantly expanded the clinical use of ultrasound, particularly in diagnostic imaging, where tissue properties such as density, attenuation, and acoustic impedance are translated into high-resolution images [[<xref ref-type="bibr" rid="B13">13</xref>]-[<xref ref-type="bibr" rid="B15">15</xref>]].</p>
        <p>Clinical ultrasound systems are generally composed of a computer processing unit, monitor, and transducer, operating in the range of 2 - 15 MHz, depending on the anatomical structure under investigation [[<xref ref-type="bibr" rid="B16">16</xref>]]. The transducer contains piezoelectric elements that convert electrical excitation into acoustic waves and, subsequently, reflected echoes into electrical signals for image formation [[<xref ref-type="bibr" rid="B17">17</xref>]].</p>
        <p>In vascular applications, Doppler ultrasound plays a central role because it enables the evaluation of flow direction, velocity, turbulence, and hemodynamic disturbances, which are essential for the diagnosis of vascular disorders and for calibration of simulation systems [[<xref ref-type="bibr" rid="B4">4</xref>], [<xref ref-type="bibr" rid="B18">18</xref>]]. This capability makes Doppler ultrasonography particularly suitable for validating vascular phantoms designed to reproduce physiological and pathological blood flow patterns.</p>
        <p>Furthermore, portable ultrasound technologies have broadened access to diagnostic imaging in remote and emergency environments, reinforcing the need for accessible and reproducible calibration tools [[<xref ref-type="bibr" rid="B11">11</xref>]].</p>
      </sec>
      <sec id="sec2dot2">
        <title>2.2. Ultrasound Phantoms and Tissue Simulation Materials</title>
        <p>Ultrasound phantoms are physical models specifically designed to reproduce the mechanical, acoustic, and structural properties of biological tissues, allowing realistic simulation of clinical conditions without patient exposure [[<xref ref-type="bibr" rid="B1">1</xref>]-[<xref ref-type="bibr" rid="B4">4</xref>]]. These systems are widely used in:</p>
        <p>professional training equipment calibration validation of imaging systems development of novel diagnostic techniques </p>
        <p>Several materials have been investigated for phantom construction, including:</p>
        <p>gelatin agar polyvinyl alcohol (PVA) silicone-based compounds SEBS copolymer gels </p>
        <p>[[<xref ref-type="bibr" rid="B8">8</xref>]-[<xref ref-type="bibr" rid="B10">10</xref>]].</p>
        <p>Among these, silicone-based materials and polymeric hydrogels stand out due to their durability, mechanical stability, and acoustic similarity to human soft tissues.</p>
        <p>Recent studies have demonstrated that custom-made vascular phantoms significantly improve the quantitative validation of Doppler systems, especially in flow-based applications [[<xref ref-type="bibr" rid="B2">2</xref>], [<xref ref-type="bibr" rid="B4">4</xref>], [<xref ref-type="bibr" rid="B23">23</xref>]].</p>
      </sec>
      <sec id="sec2dot3">
        <title>2.3. Clinical Relevance and Vascular Pathologies</title>
        <p>The clinical relevance of vascular flow simulation is directly associated with the diagnosis and monitoring of several vascular disorders.</p>
        <p>Pathological changes such as:</p>
        <p>stenosis aneurysms partial obstructions reflux arterial bifurcation disturbances </p>
        <p>produce measurable changes in Doppler flow patterns [[<xref ref-type="bibr" rid="B24">24</xref>]-[<xref ref-type="bibr" rid="B27">27</xref>]].</p>
        <p>Laminar flow represents physiological conditions, while turbulent and retrograde flows are frequently associated with clinically relevant abnormalities.</p>
        <p>In particular, vascular bifurcations and narrowing regions are known to induce local turbulence and recirculation zones, which may contribute to endothelial dysfunction and atherosclerotic progression [[<xref ref-type="bibr" rid="B24">24</xref>], [<xref ref-type="bibr" rid="B25">25</xref>]].</p>
        <p>Therefore, the development of vascular phantoms capable of reproducing these flow conditions is highly relevant for:</p>
        <p>medical education Doppler calibration experimental hemodynamic research</p>
      </sec>
      <sec id="sec2dot4">
        <title>2.4. Blood Circulation and Vascularization</title>
        <fig id="fig1">
          <label>Figure 1</label>
          <graphic xlink:href="https://html.scirp.org/file/9103029-rId12.jpeg?20260615111002" />
        </fig>
        <p>Source: Author, 2025.</p>
        <p><bold>Figure 1</bold><bold>.</bold><bold>Circulato</bold><bold>ry</bold><bold>system animation.</bold></p>
        <p>The circulatory system, as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>, is composed of the heart and an extensive network of blood vessels, including arteries, veins, and capillaries, responsible for maintaining tissue perfusion and metabolic homeostasis [[<xref ref-type="bibr" rid="B28">28</xref>]].</p>
        <p>The heart acts as a pulsatile pump that generates blood flow throughout the vascular network. Arteries transport oxygenated blood from the heart to tissues, whereas veins return deoxygenated blood and metabolic waste products.</p>
        <p>This hemodynamic behavior serves as the physiological basis for the design of the proposed phantom system.</p>
        <p>The simulation of this vascular environment is essential for reproducing clinically relevant Doppler signals.</p>
      </sec>
      <sec id="sec2dot5">
        <title>2.5. Blood Flow Patterns and Their Pathological Implications</title>
        <p>Blood flow patterns may be classified as:</p>
        <p>laminar pulsatile intermittent retrograde turbulent </p>
        <p>[[<xref ref-type="bibr" rid="B24">24</xref>]-[<xref ref-type="bibr" rid="B27">27</xref>]].</p>
        <p>Laminar flow is characterized by organized fluid layers moving in parallel, with minimal internal disturbance.</p>
        <p>Turbulent flow, in contrast, is associated with abrupt velocity changes, eddy formation, and non-uniform flow distribution.</p>
        <p>Pulsatile flow is typical of arterial circulation and reflects the cyclic systolic and diastolic phases of cardiac activity.</p>
        <p>Retrograde flow is commonly observed in vascular insufficiency and obstruction syndromes.</p>
        <p>Understanding these flow regimes is essential for the interpretation of Doppler signals and for the development of realistic calibration phantoms.</p>
        <p>This theoretical basis directly supports the experimental flow conditions tested in the Results section.</p>
      </sec>
      <sec id="sec2dot6">
        <title>2.6. Risk Management and Device Validation Framework (ISO 14971:2019)</title>
        <p>This subsection was completely revised to align with the study theme.</p>
        <p>In accordance with ISO 14971:2019, the development of medical simulation devices and calibration tools requires systematic risk assessment throughout the product lifecycle [[<xref ref-type="bibr" rid="B29">29</xref>]].</p>
        <p>For the present vascular phantom, risk management principles were considered during:</p>
        <p>material selection hydraulic design electrical control Doppler validation experimental reproducibility </p>
        <p>Particular attention was given to:</p>
        <p>leakage prevention electrical safety of the control system stability of flow generation repeatability of Doppler measurements safe use in academic and laboratory environments </p>
        <p>The application of ISO 14971 strengthens the reliability and safety of the proposed system while supporting future translational use for calibration and educational applications.</p>
      </sec>
    </sec>
    <sec id="sec3">
      <title>3. Materials and Methods</title>
      <p>This study is classified as applied experimental research, as it aims to provide a practical solution to an existing problem in biomedical engineering and medical imaging validation [[<xref ref-type="bibr" rid="B24">24</xref>], [<xref ref-type="bibr" rid="B25">25</xref>], [<xref ref-type="bibr" rid="B30">30</xref>]]. The methodological approach combined bibliographic review, experimental development, and laboratory validation procedures, integrating material preparation, hydraulic circuit design, electronic control, and Doppler ultrasound assessment [[<xref ref-type="bibr" rid="B24">24</xref>], [<xref ref-type="bibr" rid="B25">25</xref>]].</p>
      <p>The development of the phantom simulator involved the definition of a base material and the selection of components capable of reproducing vascularized soft tissue structures, including vessels, bifurcations, and flow disturbances [[<xref ref-type="bibr" rid="B26">26</xref>], [<xref ref-type="bibr" rid="B27">27</xref>]]. The proposed methodology was designed to simulate multiple hemodynamic patterns relevant to Doppler ultrasonography, including laminar and turbulent flow conditions.</p>
      <sec id="sec3dot1">
        <title>3.1. Block Diagram of the Phantom Flow for Doppler Ultrasound</title>
        <p><xref ref-type="fig" rid="fig2">Figure 2</xref> illustrates the block diagram of the developed Phantom Flow system for vascular Doppler ultrasound simulation. The system consists of a closed-loop hydraulic circuit in which the pump drives the blood-mimicking fluid through the phantom structure, reproducing different hemodynamic conditions.</p>
        <fig id="fig2">
          <label>Figure 2</label>
          <graphic xlink:href="https://html.scirp.org/file/9103029-rId13.jpeg?20260615111005" />
        </fig>
        <p>Source: Author, 2025.</p>
        <p><bold>Figure 2.</bold><bold>Block Diagram of the Phantom Flow for Doppler Ultrasound</bold></p>
        <p>The flow sensor continuously monitors the fluid flow rate and transmits the signal to the electronic controller, which adjusts the pump performance through an H-bridge-based control system. A display module allows real-time visualization of the selected flow condition and operational parameters.</p>
        <p>The Doppler ultrasound transducer captures fluid movement inside the phantom, transmitting the reflected signals to the SIEMENS ACUSON NX3 system for image formation and velocity analysis. This modular architecture enables synchronized interaction between mechanical flow generation and ultrasound diagnostic response, supporting both educational and research applications [[<xref ref-type="bibr" rid="B26">26</xref>]].</p>
      </sec>
      <sec id="sec3dot2">
        <title>3.2. Soft Tissue Mimicking Material (TMM)</title>
        <fig id="fig3">
          <label>Figure 3</label>
          <graphic xlink:href="https://html.scirp.org/file/9103029-rId14.jpeg?20260615111006" />
        </fig>
        <p>Source: Author, 2025.</p>
        <p><bold>Figure 3</bold><bold>.</bold><bold>So</bold><bold>ft</bold><bold>Tissue-Mimicking</bold><bold>Material</bold><bold>(TMM)</bold></p>
        <p>For the fabrication of the tissue-mimicking material (TMM) as shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>, Ecoflex 00–30 (Smooth-On, Inc.) was selected due to its suitable balance between acoustic performance and mechanical stability, especially for supporting microchannels and bifurcated vascular structures [[<xref ref-type="bibr" rid="B2">2</xref>]].</p>
        <p>The preparation procedure followed the original experimental protocol: a mold with dimensions of 6 × 5 × 3 cm was used, with an internal opening positioned approximately 10 mm from the bottom to allow formation of the branched vascular phantom.</p>
        <p>For the final phantom dimensions of 5.5 × 5 × 2.5 cm, 50 mL of silicone mixture was used, combined with approximately 0.15 g of cellulose (Sigma Aldrich) to act as an ultrasound scattering agent. After vigorous homogenization, the mixture was degassed in a vacuum chamber at −762 mmHg for 10 minutes to remove microbubbles and then cured for approximately 3 hours [[<xref ref-type="bibr" rid="B2">2</xref>], [<xref ref-type="bibr" rid="B8">8</xref>]-[<xref ref-type="bibr" rid="B10">10</xref>]].</p>
      </sec>
      <sec id="sec3dot3">
        <title>3.3. Blood-Mimicking Material (BMM)</title>
        <p>According to Kim <italic>et</italic><italic>al.</italic> [[<xref ref-type="bibr" rid="B23">23</xref>]], glycerin was selected as the primary component of the blood-mimicking material due to its ability to modulate acoustic and rheological properties according to concentration.</p>
        <p>The fluid was prepared by mixing:</p>
        <p>50 g of 99% glycerin500 g of deionized water </p>
        <p>resulting in a 10% glycerin concentration.</p>
        <p>The mixture was stirred at 650 rpm for 30 minutes using a mechanical agitator to ensure complete homogenization [[<xref ref-type="bibr" rid="B31">31</xref>]].</p>
        <p>This formulation was chosen to simulate flow viscosity and Doppler reflectivity similar to physiological blood flow conditions.</p>
      </sec>
      <sec id="sec3dot4">
        <title>3.4. Vessel-Mimicking Material (VMM)</title>
        <fig id="fig4">
          <label>Figure 4</label>
          <graphic xlink:href="https://html.scirp.org/file/9103029-rId15.jpeg?20260615111008" />
        </fig>
        <p>Source: Author, 2025.</p>
        <p><bold>Figure 4</bold><bold>.</bold><bold>Vessel-Mimicking</bold><bold>Material</bold><bold>(VMM)</bold><bold>.</bold></p>
        <p>The vascular structure was fabricated using polyvinyl alcohol (PVA) through 3D printing technology, following the methodology adapted from Laughlin <italic>et</italic><italic>al.</italic> [[<xref ref-type="bibr" rid="B31">31</xref>]].</p>
        <p>As illustrated in <xref ref-type="fig" rid="fig4">Figure 4</xref>, the phantom incorporates two parallel vessel channels with controlled geometric variations. Each vessel presents an inlet diameter of 6 mm, followed by a gradual reduction to outlet diameters of 2 mm (upper vessel) and 4 mm (lower vessel), respectively. This configuration enables the simulation of different flow regimes associated with vessel narrowing and diameter transitions, which are commonly observed in physiological and pathological vascular conditions.</p>
        <p>The bifurcated and cylindrical vessel geometries were manufactured using a MakerBot Replicator 2X extrusion printer under the following conditions:</p>
        <p>extruder temperature: 185˚Cprint bed temperature: 60˚C</p>
        <p>Additionally, metallic spheres with diameters of 1 mm, 4 mm, and 6 mm were strategically embedded within the tissue-mimicking material surrounding the vessels, as shown in the top view (<xref ref-type="fig" rid="fig4">Figure 4(a)</xref>). These internal markers act as controlled flow disturbance elements, promoting localized variations in velocity, recirculation zones, and turbulence.</p>
        <p>The combined effect of vessel diameter reduction and the presence of embedded spherical markers allows the phantom to reproduce both laminar and disturbed flow conditions, thereby enhancing its applicability for Doppler ultrasound calibration and for the investigation of hemodynamic responses under clinically relevant scenarios [[<xref ref-type="bibr" rid="B26">26</xref>]].</p>
      </sec>
      <sec id="sec3dot5">
        <title>3.5. Electrical Circuit Diagram</title>
        <fig id="fig5">
          <label>Figure 5</label>
          <graphic xlink:href="https://html.scirp.org/file/9103029-rId16.jpeg?20260615111009" />
        </fig>
        <p>Source: Author, 2025.</p>
        <p><bold>Figure 5</bold><bold>.</bold><bold>Electric</bold><bold>al</bold><bold>circuit diagram.</bold></p>
        <p>The electrical circuit, as showing in <xref ref-type="fig" rid="fig5">Figure 5</xref>, was developed using the ESP32-DEVKIT-V1 platform to enable controlled generation of multiple flow regimes within the experimental phantom. The system integrates two DC motor-driven pumps, corresponding flow sensors, a 12 V power supply, an LM7805 voltage regulator, and an L298N H-bridge motor driver.</p>
        <p>Unlike conventional motor control circuits, the proposed architecture allows the generation of five distinct and reproducible flow patterns through discrete control inputs (SW1 - SW5), combining pump activation, flow direction control, and speed modulation. This configuration enables the simulation of different hemodynamic conditions, including steady, pulsatile, and turbulent flow regimes.</p>
        <p>The 12 V supply directly powered the pumps, while the LM7805 provided regulated 5 V voltage for sensitive electronic components. The L298N module enabled both speed control and bidirectional rotation control, ensuring precise adjustment of flow patterns and allowing simulation of flow direction changes relevant to Doppler ultrasound analysis [[<xref ref-type="bibr" rid="B32">32</xref>]].</p>
        <p>Additionally, the integration of dual flow sensors provides real-time monitoring of the generated flow, supporting validation and repeatability of the experimental conditions.</p>
        <p>Embedded Control Algorithm and ESP32 Programming</p>
        <p>The control logic of the hydraulic phantom system was implemented using the ESP32-DEVKIT-V1 microcontroller platform, programmed within the Arduino IDE environment according to the code presented in <bold>Table 1</bold>, which is widely adopted in experimental prototyping and biomedical instrumentation studies [[<xref ref-type="bibr" rid="B32">32</xref>]-[<xref ref-type="bibr" rid="B34">34</xref>]].</p>
        <p>The embedded software architecture was designed to ensure accurate and reproducible control of the hemodynamic conditions generated within the phantom. The developed code performs the following core functions:</p>
        <p>control of the peristaltic pump rotation speed through PWM modulation activation and synchronization of the auxiliary pump real-time acquisition of flow sensor signals signal processing and conversion into volumetric flow rate real-time data visualization via the display interface </p>
        <p>The system continuously reads the pulse output generated by the flow sensors and converts it into flow rate values using a previously calibrated conversion factor, ensuring measurement consistency under different experimental conditions [[<xref ref-type="bibr" rid="B33">33</xref>], [<xref ref-type="bibr" rid="B35">35</xref>]].</p>
        <p>The general flow calculation is expressed as:</p>
        <disp-formula id="FD1">
          <label>(1)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>Q</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mi>N</mml:mi>
                <mml:mi>k</mml:mi>
              </mml:mfrac>
              <mml:mo>⋅</mml:mo>
              <mml:mi>t</mml:mi>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where:</p>
        <p><italic>Q</italic> = flow rate </p>
        <p><italic>N</italic> = number of pulses counted </p>
        <p><italic>k</italic> = sensor calibration constant </p>
        <p><italic>t</italic> = acquisition time interval </p>
        <p>Additionally, the control algorithm regulates pump actuation via the L298N H-bridge driver, allowing dynamic adjustment of flow intensity and direction. This capability is essential for reproducing physiologically relevant flow regimes, such as laminar, pulsatile, and turbulent patterns.</p>
        <p>The software structure was modularly organized into:</p>
        <p>initialization routine sensor acquisition loop flow computation module display update routine pump control logic </p>
        <p>This embedded control strategy ensures system stability, repeatability, and synchronization between hydraulic flow generation and Doppler signal acquisition, which are critical requirements for experimental validation in biomedical engineering applications [[<xref ref-type="bibr" rid="B32">32</xref>], [<xref ref-type="bibr" rid="B34">34</xref>], [<xref ref-type="bibr" rid="B35">35</xref>]].</p>
        <p><bold>Table 1.</bold><bold>Table</bold><bold>with</bold><bold>ESP32</bold><bold>programming code for the phantom flow</bold><bold>.</bold></p>
        <table-wrap id="tbl1">
          <label>Table 1</label>
          <table>
            <tbody>
              <tr>
                <td>Nrline</td>
                <td>Code</td>
                <td>Nr line</td>
                <td>Code</td>
              </tr>
              <tr>
                <td>1</td>
                <td>#include</td>
                <td>18</td>
                <td>unsigned long currentTime;</td>
              </tr>
              <tr>
                <td>2</td>
                <td>#include</td>
                <td>19</td>
                <td>unsigned long elapsedTime;</td>
              </tr>
              <tr>
                <td>3</td>
                <td>#define PWM_PIN 14 // botão do motor, pino ENB</td>
                <td>20</td>
                <td>//int sensor;</td>
              </tr>
              <tr>
                <td>4</td>
                <td>#define pino1 18// pino do motor, pino in3</td>
                <td>21</td>
                <td>LiquidCrystal_I2Clcd(0x27,16,2</td>
              </tr>
              <tr>
                <td>5</td>
                <td>#define pino2 19 // pino do motor, pino in4</td>
                <td>22</td>
                <td>int tempo;</td>
              </tr>
              <tr>
                <td>6</td>
                <td>#define botao1 32</td>
                <td>23</td>
                <td>unsigned long tempo_anterior;</td>
              </tr>
              <tr>
                <td>7</td>
                <td>#define botao2 33</td>
                <td>24</td>
                <td>unsigned long tempo_atual;</td>
              </tr>
              <tr>
                <td>8</td>
                <td>#define botao3 23</td>
                <td>25</td>
                <td>const int frequencia=500;</td>
              </tr>
              <tr>
                <td>9</td>
                <td>#define botao4 25</td>
                <td>26</td>
                <td>const int resolucao=8;</td>
              </tr>
              <tr>
                <td>10</td>
                <td>#define botao5 26</td>
                <td>27</td>
                <td>const int canal = 0;</td>
              </tr>
              <tr>
                <td>11</td>
                <td>#define flowPin1 27</td>
                <td>28</td>
                <td>int dutycycle = 50;</td>
              </tr>
              <tr>
                <td>12</td>
                <td>#define flowPin2 34</td>
                <td>29</td>
                <td>void IRAM_ATTR countPulse()</td>
              </tr>
              <tr>
                <td>13</td>
                <td>volatile uint32_t pulseCount = 0;</td>
                <td>30</td>
                <td>{</td>
              </tr>
              <tr>
                <td>14</td>
                <td>float flowRate = 0.0; // Litros por minuto</td>
                <td>31</td>
                <td>pulseCount += 1;</td>
              </tr>
              <tr>
                <td>15</td>
                <td>float totalLiters = 0.0; // Acumulado em litros</td>
                <td>32</td>
                <td>}</td>
              </tr>
              <tr>
                <td>16</td>
                <td>float flowLiters = 0.0;</td>
                <td>33</td>
                <td>void sensor()</td>
              </tr>
              <tr>
                <td>17</td>
                <td>unsigned long lastTime;</td>
                <td>34</td>
                <td>{</td>
              </tr>
              <tr>
                <td>35</td>
                <td>void sensor()</td>
                <td>67</td>
                <td>pinMode(pino1, OUTPUT);</td>
              </tr>
              <tr>
                <td>36</td>
                <td>{</td>
                <td>68</td>
                <td>pinMode(pino2, OUTPUT);</td>
              </tr>
              <tr>
                <td>37</td>
                <td>currentTime = millis();</td>
                <td>69</td>
                <td>ledcAttachChannel(PWM_PIN,frequencia,resolucao,canal);</td>
              </tr>
              <tr>
                <td>38</td>
                <td>elapsedTime = currentTime - lastTime;</td>
                <td>70</td>
                <td>Serial.begin(115200);</td>
              </tr>
              <tr>
                <td>39</td>
                <td>if (elapsedTime &gt;= 1000)</td>
                <td>71</td>
                <td>pinMode(botao1, INPUT);</td>
              </tr>
              <tr>
                <td>40</td>
                <td>{</td>
                <td>72</td>
                <td>pinMode(botao2, INPUT);</td>
              </tr>
              <tr>
                <td>41</td>
                <td>// A cada 1 segundo</td>
                <td>73</td>
                <td>pinMode(botao3, INPUT);</td>
              </tr>
              <tr>
                <td>42</td>
                <td>detachInterrupt(flowPin1); // Evita conflito ao ler a variável</td>
                <td>74</td>
                <td>pinMode(botao4, INPUT);</td>
              </tr>
              <tr>
                <td>43</td>
                <td>// Cálculo da vazão (L/min)</td>
                <td>75</td>
                <td>pinMode(botao5, INPUT);</td>
              </tr>
              <tr>
                <td>44</td>
                <td>//flowRate = (pulseCount / 7.5);</td>
                <td>76</td>
                <td>pinMode(flowPin1, INPUT_PULLUP);</td>
              </tr>
              <tr>
                <td>45</td>
                <td>// Volume que passou no último segundo</td>
                <td>77</td>
                <td>attachInterrupt(flowPin1, countPulse, countPulse, RISING);RISING);</td>
              </tr>
              <tr>
                <td>46</td>
                <td>flowLiters = (pulseCount *60 / 5880.0); // Convertido para Litros por segundo, conta pulso durante 1 segundo, miultiplica por 60 segundos, e divide por 5880, conforme o manual do sensor para dar 1 L</td>
                <td>78</td>
                <td>lastTime = millis();</td>
              </tr>
              <tr>
                <td>47</td>
                <td>//totalLiters += flowLiters;</td>
                <td>79</td>
                <td>pulseCount = 0;</td>
              </tr>
              <tr>
                <td>48</td>
                <td>lcd.setCursor(0,1);</td>
                <td>80</td>
                <td>void loop()</td>
              </tr>
              <tr>
                <td>49</td>
                <td>lcd.print("Vazao: ");</td>
                <td>81</td>
                <td>sensor();</td>
              </tr>
              <tr>
                <td>50</td>
                <td>lcd.setCursor(7,1);</td>
                <td>82</td>
                <td>if(digitalRead(botao1)==HIGH)</td>
              </tr>
              <tr>
                <td>51</td>
                <td>lcd.print(flowLiters);</td>
                <td>83</td>
                <td>sensor();</td>
              </tr>
              <tr>
                <td>52</td>
                <td>lcd.setCursor(11,1);</td>
                <td>84</td>
                <td>lcd.setCursor(0,0);</td>
              </tr>
              <tr>
                <td>53</td>
                <td>//Serial.print(flowRate);</td>
                <td>85</td>
                <td>lcd.print(" ");</td>
              </tr>
              <tr>
                <td>54</td>
                <td>lcd.print(" L/min");</td>
                <td>86</td>
                <td>lcd.setCursor(0,0);</td>
              </tr>
              <tr>
                <td>55</td>
                <td>//Serial.print("Total: ");</td>
                <td>87</td>
                <td>lcd.print("Intermitente");</td>
              </tr>
              <tr>
                <td>56</td>
                <td>//Serial.print(totalLiters, 3);</td>
                <td>88</td>
                <td>tempo = 5000;</td>
              </tr>
              <tr>
                <td>57</td>
                <td>//Serial.println(" L");</td>
                <td>89</td>
                <td>digitalWrite(pino1, HIGH);</td>
              </tr>
              <tr>
                <td>58</td>
                <td>pulseCount = 0;</td>
                <td>90</td>
                <td>digitalWrite(pino2, LOW);</td>
              </tr>
              <tr>
                <td>59</td>
                <td>lastTime = currentTime;</td>
                <td>91</td>
                <td>for (int i =0; i&lt;=2;i++)</td>
              </tr>
              <tr>
                <td>60</td>
                <td>attachInterrupt(flowPin1, countPulse, RISING);</td>
                <td>92</td>
                <td>ledcFade(PWM_PIN,153,255,tempo);</td>
              </tr>
              <tr>
                <td>61</td>
                <td>void setup()</td>
                <td>93</td>
                <td>digitalWrite(pino1, HIGH);</td>
              </tr>
              <tr>
                <td>62</td>
                <td>lcd.init(); // initialize the lcd</td>
                <td>94</td>
                <td>digitalWrite(pino2, LOW);</td>
              </tr>
              <tr>
                <td>63</td>
                <td>lcd.backlight();</td>
                <td>95</td>
                <td>//delay(tempo);</td>
              </tr>
              <tr>
                <td>64</td>
                <td>lcd.setCursor(0,0);</td>
                <td>96</td>
                <td>tempo_anterior=millis();</td>
              </tr>
              <tr>
                <td>65</td>
                <td>lcd.print("PHANTOM DOPPLER ");</td>
                <td>97</td>
                <td>tempo_atual=millis();</td>
              </tr>
              <tr>
                <td>66</td>
                <td>pinMode(PWM_PIN,OUTPUT);</td>
                <td>98</td>
                <td>while(tempo_atual-tempo_anterior &lt;= tempo)</td>
              </tr>
              <tr>
                <td>99</td>
                <td>tempo_atual=millis();</td>
                <td>133</td>
                <td>tempo_atual=millis();</td>
              </tr>
              <tr>
                <td>100</td>
                <td>sensor();</td>
                <td>134</td>
                <td>sensor();</td>
              </tr>
              <tr>
                <td>101</td>
                <td>digitalWrite(pino1, LOW);</td>
                <td>135</td>
                <td>if(digitalRead(botao3)==HIGH)</td>
              </tr>
              <tr>
                <td>102</td>
                <td>digitalWrite(pino2, LOW);</td>
                <td>136</td>
                <td>sensor()</td>
              </tr>
              <tr>
                <td>103</td>
                <td>ledcFade(PWM_PIN,255,153,tempo);</td>
                <td>137</td>
                <td>lcd.setCursor(0,0);</td>
              </tr>
              <tr>
                <td>104</td>
                <td>digitalWrite(pino1, HIGH);</td>
                <td>138</td>
                <td>lcd.print(" ");</td>
              </tr>
              <tr>
                <td>105</td>
                <td>digitalWrite(pino2, LOW);</td>
                <td>139</td>
                <td>lcd.setCursor(0,0);</td>
              </tr>
              <tr>
                <td>106</td>
                <td>//delay(tempo);</td>
                <td>140</td>
                <td>lcd.print("Laminar");</td>
              </tr>
              <tr>
                <td>107</td>
                <td>tempo_anterior=millis();</td>
                <td>141</td>
                <td>dutycycle=153;</td>
              </tr>
              <tr>
                <td>108</td>
                <td>tempo_atual=millis();</td>
                <td>142</td>
                <td>ledcWrite(PWM_PIN, dutycycle);</td>
              </tr>
              <tr>
                <td>109</td>
                <td>while(tempo_atual-tempo_anterior &lt;= tempo)</td>
                <td>143</td>
                <td>digitalWrite(pino1, HIGH);</td>
              </tr>
              <tr>
                <td>110</td>
                <td>tempo_atual=millis();</td>
                <td>144</td>
                <td>digitalWrite(pino2, LOW);</td>
              </tr>
              <tr>
                <td>111</td>
                <td>sensor();v</td>
                <td>145</td>
                <td>//Fluxo retrogrado = começa com 80% e permane nesse valor, porém muda o sentido/</td>
              </tr>
              <tr>
                <td>112</td>
                <td>// Fluxo turbulento= começa com 40% vai para 100%, vai para 60% e termina em 80%</td>
                <td>146</td>
                <td>if(digitalRead(botao4)==HIGH)</td>
              </tr>
              <tr>
                <td>113</td>
                <td>if(digitalRead(botao2)==HIGH)</td>
                <td>147</td>
                <td>sensor();</td>
              </tr>
              <tr>
                <td>114</td>
                <td>sensor();</td>
                <td>148</td>
                <td>lcd.setCursor(0,0);</td>
              </tr>
              <tr>
                <td>115</td>
                <td>lcd.setCursor(0,0);</td>
                <td>149</td>
                <td>lcd.print(" ");</td>
              </tr>
              <tr>
                <td>116</td>
                <td>lcd.print(" ");</td>
                <td>150</td>
                <td>lcd.setCursor(0,0);</td>
              </tr>
              <tr>
                <td>117</td>
                <td>lcd.setCursor(0,0);</td>
                <td>151</td>
                <td>lcd.print("Retrogrado");</td>
              </tr>
              <tr>
                <td>118</td>
                <td>lcd.print("Turbulento");</td>
                <td>152</td>
                <td>dutycycle=204;</td>
              </tr>
              <tr>
                <td>119</td>
                <td>digitalWrite(pino2, LOW);</td>
                <td>153</td>
                <td>ledcWrite(PWM_PIN, dutycycle);</td>
              </tr>
              <tr>
                <td>120</td>
                <td>tempo=10000;</td>
                <td>154</td>
                <td>digitalWrite(pino1, LOW);</td>
              </tr>
              <tr>
                <td>121</td>
                <td>ledcFade(PWM_PIN,102,255,tempo);</td>
                <td>155</td>
                <td>digitalWrite(pino2, HIGH);</td>
              </tr>
              <tr>
                <td>122</td>
                <td>//delay(tempo);</td>
                <td>156</td>
                <td>if(digitalRead(botao5)==HIGH)</td>
              </tr>
              <tr>
                <td>123</td>
                <td>tempo_anterior=millis();</td>
                <td>157</td>
                <td>sensor();</td>
              </tr>
              <tr>
                <td>124</td>
                <td>tempo_atual=millis();</td>
                <td>158</td>
                <td>/*dutycycle=255;Fluxo pulsado , o tempo está em segundos= 12000milisegundos = 12 segundos</td>
              </tr>
              <tr>
                <td>125</td>
                <td>while(tempo_atual-tempo_anterior &lt;= tempo)</td>
                <td>159</td>
                <td>ledcWrite(PWM_PIN, dutycycle);*/</td>
              </tr>
              <tr>
                <td>126</td>
                <td>tempo_atual=millis();</td>
                <td>160</td>
                <td>lcd.setCursor(0,0);</td>
              </tr>
              <tr>
                <td>127</td>
                <td>sensor();</td>
                <td>161</td>
                <td>lcd.print(" ");</td>
              </tr>
              <tr>
                <td>128</td>
                <td>ledcFade(PWM_PIN,153,204,tempo);</td>
                <td>162</td>
                <td>lcd.setCursor(0,0);</td>
              </tr>
              <tr>
                <td>129</td>
                <td>//delay(tempo);</td>
                <td>163</td>
                <td>lcd.print("Pulsado");</td>
              </tr>
              <tr>
                <td>130</td>
                <td>tempo_anterior=millis();</td>
                <td>164</td>
                <td>digitalWrite(pino1, HIGH);</td>
              </tr>
              <tr>
                <td>131</td>
                <td>tempo_atual=millis();</td>
                <td>165</td>
                <td>digitalWrite(pino2, LOW);</td>
              </tr>
              <tr>
                <td>132</td>
                <td>while(tempo_atual-tempo_anterior &lt;= tempo)</td>
                <td>166</td>
                <td>tempo = 10000;</td>
              </tr>
              <tr>
                <td>167</td>
                <td>for (int i=0;i&lt;= 2;i++)</td>
                <td>177</td>
                <td>while(tempo_atual-tempo_anterior &lt;= tempo)</td>
              </tr>
              <tr>
                <td>168</td>
                <td>ledcFade(PWM_PIN,0,255,temo);</td>
                <td>178</td>
                <td>tempo_atual=millis();</td>
              </tr>
              <tr>
                <td>169</td>
                <td>tempo_anterior=millis();</td>
                <td>179</td>
                <td>sensor();</td>
              </tr>
              <tr>
                <td>170</td>
                <td>tempo_atual=millis();</td>
                <td>180</td>
                <td>ledcFade(PWM_PIN,255,0,tempo);</td>
              </tr>
              <tr>
                <td>171</td>
                <td>while(tempo_atual-tempo_anterior &lt;= tempo)</td>
                <td>181</td>
                <td>//delay (tempo);</td>
              </tr>
              <tr>
                <td>172</td>
                <td>tempo_atual=millis();</td>
                <td>182</td>
                <td>tempo_anterior=millis();</td>
              </tr>
              <tr>
                <td>173</td>
                <td>sensor();</td>
                <td>183</td>
                <td>tempo_atual=millis();</td>
              </tr>
              <tr>
                <td>174</td>
                <td>//delay (tempo);</td>
                <td>184</td>
                <td>while(tempo_atual-tempo_anterior &lt;= tempo)</td>
              </tr>
              <tr>
                <td>175</td>
                <td>tempo_anterior=millis();</td>
                <td>185</td>
                <td>tempo_atual=millis();</td>
              </tr>
              <tr>
                <td>176</td>
                <td>tempo_atual=millis();</td>
                <td>186</td>
                <td>sensor();</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>Continuous reading of the buttons allows the code to adjust the rotation speed of the motors in real time using pulse width modulation (PWM). This precise control is essential for faithfully simulating hemodynamic conditions in training and research environments, particularly in experimental biomedical systems that require repeatability and stability [[<xref ref-type="bibr" rid="B32">32</xref>], [<xref ref-type="bibr" rid="B34">34</xref>]].</p>
        <p>In the main loop, the code logic automatically cycles through the flow descriptions every 2 seconds on the display while monitoring the button states. When a button press is detected, the microcontroller computes the corresponding motor speed and activates the system accordingly. Otherwise, the motors remain off, ensuring operational safety and energy efficiency, in line with recommended practices for embedded system reliability [[<xref ref-type="bibr" rid="B36">36</xref>]].</p>
        <p>The use of commands such as analogWrite() (for PWM-based motor control), digitalRead() (for input acquisition), and lcd.setCursor() / lcd.print() (for display output) enables direct hardware interfacing, contributing to system responsiveness and efficiency.</p>
        <p>This simple yet robust programming approach allows the ESP32 to function as a central control unit for biomedical simulation, providing flexibility, reproducibility, and reliable operation across different experimental scenarios [[<xref ref-type="bibr" rid="B33">33</xref>]].</p>
      </sec>
      <sec id="sec3dot6">
        <title>3.6. AutoCAD Project Diagram</title>
        <p>The AutoCAD project diagram of the Phantom Flow and Control System, shown in <xref ref-type="fig" rid="fig6">Figure 6</xref>, illustrates a hemodynamic simulation setup designed for testing and calibration of Doppler ultrasound systems [[<xref ref-type="bibr" rid="B24">24</xref>]]. The system consists of two cylindrical reservoirs (R1 and R2), each with a volume of 3 liters, containing fluids that simulate venous blood (blue) and arterial blood (red), respectively. These fluids circulate continuously through a closed-loop system and return to their respective reservoirs.</p>
        <p>The system incorporates two peristaltic pumps (B1 and B2), each with a flow rate of 4.5 L/min, responsible for driving the fluid from the reservoirs through the circuit. The pumps are connected via flexible tubing, enabling continuous and controlled fluid circulation. Each pump is monitored by a flow sensor (S1 and S2), allowing real-time tracking of flow conditions. The pumps are controlled by an ESP32-based microcontroller, which enables the configuration of up to five distinct flow profiles—linear, intermittent, pulsatile, turbulent, and retrograde—thus simulating a range of clinically relevant hemodynamic conditions.</p>
        <fig id="fig6">
          <label>Figure 6</label>
          <graphic xlink:href="https://html.scirp.org/file/9103029-rId19.jpeg?20260615111010" />
        </fig>
        <p>Source: Author, 2025.</p>
        <p><bold>Figure 6</bold><bold>.</bold><bold>Dynamic</bold><bold>phantom flow design.</bold></p>
        <p>Selection and adjustment of flow profiles are performed through five control buttons, while system status and operational parameters are displayed on an LCD interface. The electronic control circuit is powered by a 12 V supply, ensuring system portability and stable operation during experimental procedures.</p>
        <p>The fluid driven by the pumps circulates through the vascular phantom, represented by polyvinyl alcohol (PVA) tubes with diameters of 8 mm and 4 mm, allowing the investigation of different vessel geometries and flow velocities [[<xref ref-type="bibr" rid="B32">32</xref>], [<xref ref-type="bibr" rid="B33">33</xref>]]. These vessels are embedded within a tissue-mimicking material composed of silicone (polydimethylsiloxane) crosslinked with a platinum catalyst, providing acoustic properties compatible with ultrasound propagation.</p>
        <p>To enhance Doppler signal analysis, metallic spheres with diameters of 30 mm, 20 mm, 10 mm, 2 mm, and 1 mm were incorporated into the phantom structure. These inclusions act as controlled flow disturbance elements, promoting localized variations in velocity and enabling the evaluation of Doppler sensitivity under conditions such as partial obstruction, flow acceleration, and turbulence, as reported in experimental phantom studies [[<xref ref-type="bibr" rid="B29">29</xref>], [<xref ref-type="bibr" rid="B32">32</xref>]].</p>
        <p>The overall assembly was designed to support detailed investigation of simulated blood flow behavior and its interaction with internal structures, providing a reliable and reproducible platform for calibration, validation, and training applications in Doppler ultrasound.</p>
      </sec>
      <sec id="sec3dot7">
        <title>3.7. Testing and Validation of the Phantom with Doppler Ultrasound</title>
        <p>The phantom testing was conducted in a laboratory environment using a VF 10-5 linear transducer operating at a frequency of 6.2 MHz, which is suitable for imaging superficial vascular structures [[<xref ref-type="bibr" rid="B16">16</xref>]]. Initially, the B-mode (2D) imaging was activated, followed by the color Doppler mode to enable visualization of flow dynamics within the phantom. The thyroid preset was selected due to its optimization for small- and medium-caliber vessels.</p>
        <p>During the experiments, key Doppler parameters—including gain, operating frequency, pulse repetition frequency (PRF), and wall filters—were adjusted to optimize flow visualization and signal quality. These parameters are known to directly influence Doppler sensitivity, resolution, and artifact suppression [[<xref ref-type="bibr" rid="B13">13</xref>], [<xref ref-type="bibr" rid="B18">18</xref>]]. The configuration enabled clear distinction of simulated flow patterns, represented by red and blue color mapping corresponding to flow direction relative to the transducer [[<xref ref-type="bibr" rid="B4">4</xref>]].</p>
        <p>Technical parameters were carefully tuned to balance spatial resolution, sensitivity, and image stability. The PRF was maintained at 1563 Hz, appropriate for moderate flow velocities and avoiding aliasing artifacts [[<xref ref-type="bibr" rid="B18">18</xref>]]. The wall filter was set to a low level to allow detection of low-velocity flows without excessive noise interference.</p>
        <p>Additional system settings included color priority (Priority 4), smoothing (Smooth 2), and medium flow mode (Flow M), which contributed to improved visualization stability. The frame rate was fixed at 13 frames per second, ensuring adequate temporal resolution without compromising image quality.</p>
        <p>The lateral color bar provided a reference for interpreting flow direction and relative velocity, while thermal and mechanical indices remained within safe operational limits, in accordance with standard ultrasound safety practices [[<xref ref-type="bibr" rid="B13">13</xref>]].</p>
      </sec>
    </sec>
    <sec id="sec4">
      <title>4. Results and Discussion</title>
      <p>The developed vascular flow phantom demonstrated satisfactory structural integrity and functional performance during all experimental validation stages. The system was capable of reproducing distinct hemodynamic flow patterns, including laminar and turbulent flow regimes, allowing qualitative and quantitative assessment through Doppler ultrasound imaging under controlled laboratory conditions. The experimental setup, described in Section 3.7, was tested using a VF 10-5 linear transducer operating at 6.2 MHz, with a pulse repetition frequency (PRF) of 1563 Hz and frame rate of 13 fps, ensuring appropriate sensitivity and image stability for superficial vascular simulation.</p>
      <sec id="sec4dot1">
        <title>4.1. Quantitative Doppler Analysis under Turbulent Flow Conditions</title>
        <p><xref ref-type="fig" rid="fig7">Figure 7</xref> presents the color Doppler image obtained during the turbulent flow simulation using the SIEMENS ACUSON NX3 device. The region of interest (ROI), highlighted in green, clearly defines the hemodynamic analysis zone within the vascular phantom. A mixed chromatic distribution, including red, orange, blue, and green transitions, was observed, which is characteristic of disturbed and non-uniform flow behavior.</p>
        <fig id="fig7">
          <label>Figure 7</label>
          <graphic xlink:href="https://html.scirp.org/file/9103029-rId20.jpeg?20260615111012" />
        </fig>
        <p>Source: Author, 2025.</p>
        <p><bold>Figure 7</bold><bold>.</bold><bold>Color</bold><bold>Doppler</bold><bold>ultrasound</bold><bold>-</bold><bold>color</bold><bold>box</bold><bold>-</bold><bold>mix</bold><bold>color</bold><bold>-</bold><bold>turbulence</bold><bold>flow</bold><bold>.</bold></p>
        <p>The Doppler lateral scale indicated a <bold>maximum</bold><bold>measured</bold><bold>velocity</bold><bold>of</bold><bold>9.8</bold><bold>cm/s</bold>, corresponding to the turbulent regime induced by the internal metallic markers positioned inside the vessel lumen. This increased velocity, combined with color aliasing and chromatic inversion, confirms the successful generation of localized turbulence, simulating clinically relevant conditions such as vascular stenosis, bifurcation disturbances, and flow recirculation zones [[<xref ref-type="bibr" rid="B25">25</xref>], [<xref ref-type="bibr" rid="B26">26</xref>]].</p>
        <p>The presence of these flow disturbances demonstrates that the proposed phantom is capable of reproducing pathological hemodynamic conditions relevant for Doppler ultrasound training, experimental validation, and calibration of imaging systems [[<xref ref-type="bibr" rid="B24">24</xref>], [<xref ref-type="bibr" rid="B29">29</xref>]]. </p>
      </sec>
      <sec id="sec4dot2">
        <title>4.2. Quantitative Doppler Analysis under Left Laminar Flow Conditions</title>
        <p><xref ref-type="fig" rid="fig8">Figure 8</xref> shows the color Doppler result obtained during the simulation of stable leftward laminar flow. A uniform blue coloration was observed throughout the vascular lumen, indicating a unidirectional flow moving away from the transducer, with no evidence of turbulence, reflux, or recirculation.</p>
        <p>The measured velocity was 5.9 cm/s, which is compatible with controlled physiological laminar flow simulation. The vessel walls remained sharply delineated, and no artifacts associated with bubbles, flow instability, or interference from the embedded markers were identified.</p>
        <p>These findings confirm the stability of the hydraulic circuit and validate the performance of pump B1 and the microcontroller-based control system. The flow profile is consistent with physiological arterial or venous laminar flow conditions described in the literature [[<xref ref-type="bibr" rid="B25">25</xref>], [<xref ref-type="bibr" rid="B28">28</xref>]].</p>
        <fig id="fig8">
          <label>Figure 8</label>
          <graphic xlink:href="https://html.scirp.org/file/9103029-rId21.jpeg?20260615111013" />
        </fig>
        <p>Source: Author, 2025.</p>
        <p><bold>Figure 8</bold><bold>.</bold><bold>Color</bold><bold>Doppler</bold><bold>ultrasound</bold><bold>-</bold><bold>color</bold><bold>box</bold><bold>-</bold><bold>blue</bold><bold>.</bold></p>
      </sec>
      <sec id="sec4dot3">
        <title>4.3. Quantitative Doppler Analysis under Right Laminar Flow Conditions</title>
        <p><xref ref-type="fig" rid="fig9">Figure 9</xref> presents the Doppler ultrasound image corresponding to the rightward laminar flow simulation. In this condition, a homogeneous red coloration was observed, indicating flow toward the transducer.</p>
        <p>The measured velocity was 6.1 cm/s, which is very close to the value obtained in the left laminar flow condition, demonstrating high symmetry and repeatability of the developed phantom.</p>
        <p>The difference between both laminar flow conditions was:</p>
        <disp-formula id="FD2">
          <label>(2)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>Δ</mml:mi>
              <mml:mi>V</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:mn>6.1</mml:mn>
              <mml:mo>−</mml:mo>
              <mml:mn>5.9</mml:mn>
              <mml:mo>=</mml:mo>
              <mml:mn>0.2</mml:mn>
              <mml:mrow>
                <mml:mrow>
                  <mml:mtext>cm</mml:mtext>
                </mml:mrow>
                <mml:mo>/</mml:mo>
                <mml:mtext>s</mml:mtext>
              </mml:mrow>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>This corresponds to a relative difference of:</p>
        <disp-formula id="FD3">
          <label>(3)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>Δ</mml:mi>
              <mml:mi>V</mml:mi>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mi>%</mml:mi>
                <mml:mo>)</mml:mo>
              </mml:mrow>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:mn>0.2</mml:mn>
                </mml:mrow>
                <mml:mrow>
                  <mml:mn>5.9</mml:mn>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo>×</mml:mo>
              <mml:mn>100</mml:mn>
              <mml:mo>=</mml:mo>
              <mml:mn>3.39</mml:mn>
              <mml:mi>%</mml:mi>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>A deviation of only 3.39% indicates excellent reproducibility of the system and robust calibration of both hydraulic branches.</p>
        <fig id="fig9">
          <label>Figure 9</label>
          <graphic xlink:href="https://html.scirp.org/file/9103029-rId26.jpeg?20260615111014" />
        </fig>
        <p>Source: Author, 2025.</p>
        <p><bold>Figure 9.</bold><bold>Color Doppler ultrasound - color box</bold><bold>-</bold><bold>red.</bold></p>
      </sec>
      <sec id="sec4dot4">
        <title>4.4. Comparative Quantitative Performance</title>
        <p>To improve the objective presentation of the results, the main quantitative outputs are summarized in <bold>Table 2</bold>.</p>
        <p><bold>Table 2.</bold><bold>Quantitative</bold><bold>Doppler</bold><bold>performance of the vascular flow phantom</bold><bold>.</bold></p>
        <table-wrap id="tbl2">
          <label>Table 2</label>
          <table>
            <tbody>
              <tr>
                <td>
                  <bold>Flow</bold>
                  <bold>Condition</bold>
                </td>
                <td>
                  <bold>Velocity</bold>
                  <bold>(cm/s)</bold>
                </td>
                <td>
                  <bold>Flow</bold>
                  <bold>Pattern</bold>
                </td>
                <td>
                  <bold>Stability</bold>
                </td>
                <td>
                  <bold>Clinical</bold>
                  <bold>Simulation</bold>
                </td>
              </tr>
              <tr>
                <td>Left laminar flow</td>
                <td>5.9</td>
                <td>Uniform blue</td>
                <td>High</td>
                <td>Physiological flow</td>
              </tr>
              <tr>
                <td>Right laminar flow</td>
                <td>6.1</td>
                <td>Uniform red</td>
                <td>High</td>
                <td>Physiological flow</td>
              </tr>
              <tr>
                <td>Turbulent flow</td>
                <td>9.8</td>
                <td>Mixed colors</td>
                <td>Moderate</td>
                <td>Stenosis / disturbed flow</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>The turbulent flow condition showed a significant increase in velocity compared to the left laminar flow condition, calculated as:</p>
        <disp-formula id="FD4">
          <label>(4)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>Δ</mml:mi>
              <mml:mi>V</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:mn>9.8</mml:mn>
                  <mml:mo>−</mml:mo>
                  <mml:mn>5.9</mml:mn>
                </mml:mrow>
                <mml:mrow>
                  <mml:mn>5.9</mml:mn>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo>×</mml:mo>
              <mml:mn>100</mml:mn>
              <mml:mo>=</mml:mo>
              <mml:mn>66.1</mml:mn>
              <mml:mi>%</mml:mi>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>Thus, the turbulent condition produced an approximate 66.1% increase in flow velocity, quantitatively confirming the effectiveness of the internal disturbance elements in generating non-uniform and clinically relevant hemodynamic conditions [[<xref ref-type="bibr" rid="B25">25</xref>], [<xref ref-type="bibr" rid="B27">27</xref>], [<xref ref-type="bibr" rid="B36">36</xref>]].</p>
        <p>This result is consistent with expected flow behavior in regions of vascular narrowing and bifurcation, where increased velocity and turbulence are commonly observed due to flow acceleration and instability [[<xref ref-type="bibr" rid="B27">27</xref>], [<xref ref-type="bibr" rid="B28">28</xref>]].</p>
      </sec>
      <sec id="sec4dot5">
        <title>4.5. Experimental Interpretation and Performance Discussion</title>
        <p>From an engineering perspective, the developed phantom demonstrated stable hydraulic and acoustic behavior throughout all experimental tests. The tissue-mimicking material maintained adequate acoustic propagation properties, ensuring consistent ultrasound signal transmission, while the blood-mimicking fluid enabled reliable Doppler signal acquisition under different flow regimes [[<xref ref-type="bibr" rid="B2">2</xref>], [<xref ref-type="bibr" rid="B8">8</xref>], [<xref ref-type="bibr" rid="B19">19</xref>]].</p>
        <p>The system successfully reproduced both physiological and pathological flow patterns, including laminar and turbulent conditions, confirming its capability to simulate clinically relevant hemodynamic scenarios [[<xref ref-type="bibr" rid="B4">4</xref>], [<xref ref-type="bibr" rid="B36">36</xref>]].</p>
        <p>This performance reinforces the practical applicability of the proposed system for:</p>
        <p>Doppler ultrasound calibration biomedical engineering research academic and professional training [[<xref ref-type="bibr" rid="B23">23</xref>], [<xref ref-type="bibr" rid="B32">32</xref>]] controlled clinical simulation environments</p>
        <p>Overall, these findings directly support the main objective of this study, demonstrating that the proposed low-cost vascular phantom provides a reliable, reproducible, and versatile platform for Doppler ultrasound evaluation and experimental validation.</p>
      </sec>
    </sec>
    <sec id="sec5">
      <title>5. conclusions</title>
      <p>The present study successfully developed and experimentally validated a vascular flow phantom for Doppler ultrasound evaluation, integrating tissue-mimicking materials, vessel-mimicking structures, a controlled hydraulic circuit, and an embedded electronic control and monitoring system.</p>
      <p>Unlike conventional phantom designs, the proposed system enables the generation of multiple and reproducible flow regimes through an integrated microcontroller-based architecture, allowing controlled simulation of laminar, turbulent, pulsatile, intermittent, and retrograde flow patterns. This capability represents an important advancement by enabling systematic investigation of Doppler responses under distinct and clinically relevant hemodynamic conditions.</p>
      <p>The experimental results demonstrated clear qualitative and quantitative differentiation between flow regimes. In particular, the incorporation of velocity measurements and comparative analysis confirmed the ability of the phantom to reproduce flow disturbances associated with clinically relevant conditions such as stenosis, bifurcation effects, and recirculation zones. The observed increase in velocity under turbulent conditions further supports the effectiveness of the internal disturbance elements embedded within the phantom.</p>
      <p>Additionally, the inclusion of internal markers (metallic spheres) proved to be a valuable feature for inducing controlled flow perturbations, enabling enhanced evaluation of Doppler sensitivity, signal variation, and image response to localized disturbances. This aspect addresses a common limitation in simplified phantom models and strengthens the applicability of the system for both research and calibration purposes.</p>
      <p>From an engineering perspective, the system demonstrated stable hydraulic performance, reliable electronic control, and consistent acoustic behavior, ensuring reproducibility of experimental conditions. The integration of real-time flow monitoring further contributes to the robustness and repeatability of the proposed methodology.</p>
      <p>The results indicate that the developed phantom constitutes a reliable, accessible, and cost-effective platform for:</p>
      <p>Doppler ultrasound calibration biomedical engineering research professional and academic training experimental validation of imaging systems </p>
      <p>Furthermore, the modular architecture allows future expansion toward more complex cardiovascular simulations, including variable vessel geometries, advanced pulsatile profiles, and patient-specific flow conditions.</p>
      <p>Therefore, the proposed system represents a relevant scientific and technological contribution to the development of low-cost, flexible, and experimentally robust vascular phantoms, addressing current limitations in Doppler ultrasound validation and supporting advances in diagnostic imaging and training methodologies.</p>
    </sec>
    <sec id="sec6">
      <title>Acknowledgements</title>
      <p>I would like to thank the CPRJI/CPS for the constant clarifications regarding the progress of the work, the Coordination of the Industrial Automation Course for the resources provided, and the management of the Osasco unit for their warm reception.</p>
    </sec>
  </body>
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