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Mathematical biophysics of the cell with reference to the contractility of tissues and amoeboid movements

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Abstract

Using a recently developed approximation method, the problem of the deformation of a cell under the action of diffusion forces is studied for the general case when the rate of deformation is so rapid that the diffusion state is not quasistationary. The possibilities of configurations with several equilibria, as well as of periodical contractions and expansions of the cell around one of such configurations are shown. The bearing of these results on the theory of tissue contractility and amoeboid movements is discussed.

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Rashevsky, N. Mathematical biophysics of the cell with reference to the contractility of tissues and amoeboid movements. Bulletin of Mathematical Biophysics 1, 47–62 (1939). https://doi.org/10.1007/BF02478012

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  • DOI: https://doi.org/10.1007/BF02478012

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