Mathematical modeling of movement of cilia in olfactory cells
2003
: A mathematical model of the movement of olfactory cilia in different conditions was constructed. The realization of the model includes the development of a mechanical mathematical rheological model of the behavior of a continuous deformable medium, the development of the method of solution adapted to this problem, and obtaining a numerical solution, which takes into account different starting data. The mathematical modeling of the dynamic behavior of a deformable medium was performed using a system of equations for the dynamics of the deformable medium and the solution of the corresponding nonstationary system of equations in partial derivatives.
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