[Asymptotic solution of the model of the erythrocyte shape as an autowave process].
An asymptotic solution was plotted for a model of erythrocyte forms assuming that the biomembrane is anisotropic and of "small" thickness. This leads to small non-linearity and low diffusion, therefore the solution is unrelaxational. The model was investigated qualitatively assuming that the liquid current directed inside the spheric membrane induces its "distension", while that directed outside-its "crumpling". In the spherical system of coordinates the lines of solution level at theta = const are circumferences, while at phi-const-trochoids (Pascal coil, for example). Trochoids rotation areas show stomacyte and discocyte forms. Several hypotheses based on the analysis performed are advanced.
Lukashev
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D004910:Erythrocyte Membrane / Q000737:chemistry / Q000502:physiology; D004912:Erythrocytes / Q000502:physiology*; D008560:Membrane Fluidity; D008962:Models, Theoretical
Asimptoticheskoe reshenie modeli form éritrotsita kak avtovolnovogo protsessa.