On a Model of Leukemia Development with a Spatial
Cell Distribution

A. Ducrot; V. Volpert

Displaying similar documents to “On a Model of Leukemia Development with a Spatial Cell Distribution”

Influence of diffusion on interactions between malignant gliomas and immune system

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We analyse the influence of diffusion and space distribution of cells in a simple model of interactions between an activated immune system and malignant gliomas, among which the most aggressive one is GBM Glioblastoma Multiforme. It turns out that diffusion cannot affect stability of spatially homogeneous steady states. This suggests that there are two possible outcomes-the solution is either attracted by the positive steady state or by the semitrivial one. The semitrivial steady state...

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Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation

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We present models of the dynamics of phytoplankton aggregates. We start with an individual-based model in which aggregates can grow, divide, joint and move randomly. Passing to infinity with the number of individuals, we obtain a model which describes the space-size distribution of aggregates. The density distribution function satisfies a non-linear transport equation, which contains terms responsible for the growth of phytoplankton aggregates, their fragmentation, coagulation, and...