Article citationsMore>>

Mili?i?, V. and Quarteroni, A. (2004) Analysis of lumped parameter models for blood flow simulations and their relation with 1D models. Mathematical Modeling and Numerical Analysis, 38, 613-632. doi:10.1051/m2an:2004036

has been cited by the following article:

• TITLE: Review on lumped parameter method for modeling the blood flow in systemic arteries

  AUTHORS: Isidor Kokalari, Theodhor Karaja, Maria Guerrisi

  KEYWORDS: Fluid Dynamics; Mathematical Modelling; Cardiovascular System; Arterial Tree; Lumped Parameter Models

  JOURNAL NAME: Journal of Biomedical Science and Engineering, Vol.6 No.1, January 29, 2013

  ABSTRACT: The cardiovascular system is characterized by complex interactions between various control mechanisms and physiological processes. Different approaches are used to provide better diagnostics and physiological understanding, cardiac prosthesis and medical planning. The mathematical description and modelling of the human cardiovascular system plays nowadays an important role in the comprehension of the genesis and development of cardiovascular disorders by providing computer based simulation of dynamic processes in this system. This paper aims to give an overview on lumped parameter models that have been developed by many researchers all over the world, to simulate the blood flow in systemic arteries. Surveying various references we make a review of different approaches to arterial tree modelling and discuss on the applications of such models.