[Design of a mathematical model of the formation of erythrocyte shape as an autowave process].
The phenomenological model of T. Teorell's "biomembrane generator" underlies the mathematical model of erythrocyte forms as an autowave process. For a distributed system the model is formulated as a differential equation of the second order in partial derivatives with a small parameter. It is stated that a substantial thing in the model is the presence of mass-transfer through a pore membrane determined by its electrostatic and hydrostatic permeabilities, as well as the fact that mass-transfer through the membrane results in a non-uniform distribution of the liquid current through it. It is suggested that as a consequence of this process there appears mechanical instability of the spherical membrane, which is the cause of the autowave process. Due to the membrane elasticity this process can be compared with the movement of "tank caterpillar".
Lukashev
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D004910:Erythrocyte Membrane / Q000737:chemistry / Q000502:physiology; D004912:Erythrocytes / Q000502:physiology*; D008560:Membrane Fluidity; D008962:Models, Theoretical; D013816:Thermodynamics
K postroeniiu matematicheskoĭ modeli obrazovaniia form éritrotsita kak avtovolnovogo protsessa.