[Emergence of a quasi-periodic spatial structure in the model of aggregation of moving, dividing cells, possessing chemotactic properties].
It has been analyzed the Keller-Segel model of aggregation of divided cells possessed hemotaxis. During the cell division homogeneous stationary distribution becomes unstable due to increasing of the common cells amount. It is shown that accidental variation of the primary stable homogeneous stationary distribution result to forming of a like periodical space structure with characteristic scale that basically is defined by the cell division rate. This approach allows to explain the arising of complex space structures in the movable bacterium colonies.
Polezhaev
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AA
D000818:Animals; D002449:Cell Aggregation; D002455:Cell Division; D002633:Chemotaxis; D006801:Humans; D008954:Models, Biological
Vozniknovenie kvazi-periodicheskoĭ prostranstvennoĭ struktury v modeli agregatsii deliashchikhsia podvizhnykh kletok, obladaiushchikh khemotaksisom.