A Mathematical Model for Selective Differentiation of Neural Progenitor Cells on Micropatterned Polymer SubstratesMathematical Biosciences
Publication VersionAccepted Manuscript
AbstractThe 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.
RightsThis is an open access article distributed under the Creative Commons BY-NC-ND License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited, not used commercially, and is not changed in any way.
Copyright OwnerElsevier Inc.
Citation InformationCory L. Howk, Howard A. Levine, Michael W. Smiley, Surya K. Mallapragada, et al.. "A Mathematical Model for Selective Differentiation of Neural Progenitor Cells on Micropatterned Polymer Substrates" Mathematical Biosciences Vol. 238 Iss. 2 (2012) p. 65 - 79
Available at: http://works.bepress.com/marit-nilsen-hamilton/27/