A Mathematical Model for Selective Differentiation of Neural Progenitor Cells on Micropatterned Polymer Substrates

Date
2012-01-01
Authors
Howk, Cory
Levine, Howard
Smiley, Michael
Mallapragada, Surya
Nilsen-Hamilton, Marit
Oh, Jisun
Sakaguchi, Donald
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Abstract

The biological hypothesis that the astrocyte-secreted cytokine, interleukin-6 (IL6), stimulates differentiation of adult rat hippocampal progenitor cells (AHPCs) is considered from a mathematical perspective. The proposed mathematical model includes two different mechanisms for stimulation and is based on mass–action kinetics. Both biological mechanisms involve sequential binding, with one pathway solely utilizing surface receptors while the other pathway also involves soluble receptors. Choosing biologically-reasonable values for parameters, simulations of the mathematical model show good agreement with experimental results. A global sensitivity analysis is also conducted to determine both the most influential and non-influential parameters on cellular differentiation, providing additional insights into the biological mechanisms.

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This is a manuscript of an article from Mathematical Biosciences 238 (2012): 65, doi:10.1016/j.mbs.2012.04.001. Posted with permission.

Keywords
Receptor kinetics, Interleukin-6 (IL6), Adult hippocampal progenitor cells (AHPC), Cellular differentiation, Extended Fourier amplitude sensitivity test (eFAST)
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