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Mathematical Modeling of Cardiomyocytes’ and Skeletal Muscle Fibers’ Membrane: Interaction with External Mechanical Field 被引量:2
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作者 Irina V. Ogneva nikolay s. biryukov 《Applied Mathematics》 2013年第8期1-6,共6页
We propose a mathematic model of muscle cell membrane based on thin-walled elastic rod theory. A deformation occurs in rodents’ skeletal and cardiac cells during a period of antiorthostatic suspension. We carried out... We propose a mathematic model of muscle cell membrane based on thin-walled elastic rod theory. A deformation occurs in rodents’ skeletal and cardiac cells during a period of antiorthostatic suspension. We carried out a quantitative evaluation of the deformation using this model. The calculations showed the deformation in cardiac cells to be greater than in skeletal ones. This data corresponds to experimental results of cell response that appears intense in cardiomyocytes than in skeletal muscle cells. Moreover, the deformation in skeletal and heart muscle cells has a different direction (stretching vs. compression), corresponding to experimental data of different adaptive response generation pathways in cells because of external mechanical condition changes. 展开更多
关键词 MATHEMATICAL Modeling in BIOLOGY Muscle CELL CELL MECHANOSENSITIVITY MICROGRAVITY
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Modeling of the Primary Acts of the Interaction between a Cell and an External Mechanical Field
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作者 Irina V. Ogneva Maria A. Usik +2 位作者 nikolay s. biryukov Nikita O. Kremenetskii Yuliya s. Zhdankina 《Applied Mathematics》 2019年第7期527-544,共18页
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 system... 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. 展开更多
关键词 CELL Mechanosensititvity KINETIC Equations CORTICAL CYTOSKELETON
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