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Ogneva, I.V. and Biryukov, N.S. (2013) Mathematical Modeling Cardiomyocyte’s and Skeletal Muscle Fiber’s Membrane: Interaction with External Mechanical Field. Applied Mathematics, 4, 1-6.
https://doi.org/10.4236/am.2013.48A001

has been cited by the following article:

• TITLE: Modeling of the Primary Acts of the Interaction between a Cell and an External Mechanical Field

  AUTHORS: Irina V. Ogneva, Maria A. Usik, Nikolay S. Biryukov, Nikita O. Kremenetskii, Yuliya S. Zhdankina

  KEYWORDS: Cell Mechanosensititvity, Kinetic Equations, Cortical Cytoskeleton

  JOURNAL NAME: Applied Mathematics, Vol.10 No.7, July 19, 2019

  ABSTRACT: The mechanism of interaction between a cell and an external mechanical field is still poorly understood, and the accumulated diverse experimental data are often scattered. Therefore, the aim of this work was to systematize the experimental data in a mathematical model of the interaction between a cell and an external mechanical field based on standard kinetic equations and Fick’s diffusion equation. Assuming that the cortical cytoskeleton proteins play a key role in cell mechanosensitivity, we compared the results of mathematical modeling and experimental data concerning the content of cytoskeletal proteins at the early stages of a mechanical field change. In addition, the proposed mathematical model suggests the dynamics of changes of a key transcription factor, which is necessary for the expression of certain genes encoding cytoskeletal proteins.