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Mathematical Models in Stem Cell Differentiation and Fate Predictability

  • Wayne M. EbyEmail author
  • Natalia Coleman
Chapter

Abstract

We review recent mathematical models in stem cell differentiation with a focus on the role of epigenetics in cell fate determination. Gene regulatory networks can be described as a dynamical system. Within this high-dimensional system cell states correspond to attractors. This study spotlights the quasi-potential landscape to represent the transition between cell states as functions of stochastic and deterministic influences. Furthermore, we will investigate how these models apply to the area of neural differentiation, with a focus on the role of the Sonic Hedgehog (Shh), Notch, and Wnt pathways. Finally, we will discuss the epigenetic landscape model in relation to cancer and cancer stem cells.

Keywords

Epigenetic landscape Mathematical model of differentiation Stochasticity Neural differentiation Notch pathway 

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© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Mathematics Department/Biology DepartmentNew Jersey City UniversityJersey CityUSA

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