Simulation Models for Stem Cells Differentiation

M. Pisu, A. Concas and G. Cao

Abstract
A novel mathematical model to simulate stem cells differentiation into specialized cells of connective or non-connective tissues is discussed. The model is based upon material balances for extra cellular matrix compounds, growth factors and nutrients coupled with a mass-structured population balance describing cell growth, proliferation and differentiation. The model is written in a general form and it may be used to simulate a generic cell differentiation pathway occurring in vivo or during in vitro cultivation when specific growth factors are used. Several example are discussed where literature experimental data are successfully compared with model results, thus demonstrating the validity of the proposed model as well as its predictive capability.

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Keywords
Stem cells differentiation, modeling, population, balance