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## Континуальное моделирование сортировки клеток в плоском слое с учетом возможного расхождения границ областей, занятых клетками двух разных типов

In aggregates formed by cells of different types, the phenomenon of their sorting

is observed: as a result of cell interactions, structures develop in which cells of one type can form

a compact mass surrounded by cells of another type. The physical mechanisms underlying the sorting

process are still the subject of discussion. We have previously proposed a continuum model of a biological

continuum formed by two actively interacting cell phases and a fluid. Based on this model,

a model problem of redistribution of cells of two types, which fill an infinite plane layer, was considered

under the assumption that the continuums modeling two cell populations are bounded by a common

outer boundary. In the proposed study, a similar problem is formulated and investigated, taking

into account the possible relative displacement of surfaces that bound cells of different types. This formulation

allows us to describe the formation and propagation of fronts separating regions that differ

in the concentrations of cell phases. The behavior of solutions is studied depending on the dimensionless

parameters characterizing active intercellular interactions. The participation of these mechanisms

in the formation of new cellular structures was analyzed numerically. It has been shown that, in a wide

range of parameters, cells with stronger contracting active interactions tend to occupy the central

region, displacing cells with weaker contracting interactions to the periphery. The novel formulation

is physically more adequate and allows us to expand the range of parameters in which a stable result

is achieved.