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Particle Dynamics Modelling of Cell Populations

N. BessonovP. KurbatovaV. Volpert — 2010

Mathematical Modelling of Natural Phenomena

Evolution of cell populations can be described with dissipative particle dynamics, where each cell moves according to the balance of forces acting on it, or with partial differential equations, where cell population is considered as a continuous medium. We compare these two approaches for some model examples

Application of Hybrid Models to Blood Cell Production in the Bone Marrow

N. BessonovF. CrausteS. FischerP. KurbatovaV. Volpert — 2011

Mathematical Modelling of Natural Phenomena

A hybrid model of red blood cell production, where cells are considered as discrete objects while intra-cellular proteins and extra-cellular biochemical substances are described with continuous models, is proposed. Spatial organization and regulation of red blood cell production (erythropoiesis) are investigated. Normal erythropoiesis is simulated in two dimensions, and the influence on the output of the model of some parameters involved in cell...

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