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The work is devoted to the analysis of cell population dynamics where cellsmake a choice between differentiation and apoptosis. This choice is based onthe values of intracellular proteins whose concentrations are described by asystem of ordinary differential equations with bistable dynamics. Intracellularregulation and cell fate are controlled by the extracellular regulation throughthe number of differentiated cells. Initial intracellular proteinconcentrations are considered for each cell as random variables with a givenarea of variation. Intracellular regulation, extracellular regulation andrandom initial conditions work together to produce differentiated cells and tocontrol their number. The role of intracellular regulation is to provide apossible choice between differentiation and apoptosis, extracellular regulationcontrols the number of differentiated cells, stochastic initial conditions cansuppress oscillations and provide stability of the system.

Modelling of cell choice between differentiation and apoptosis on the basis of intracellular and extracellular regulations and stochasticity