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.