Campus Units
Biochemistry, Biophysics and Molecular Biology, Chemical and Biological Engineering, Genetics, Development and Cell Biology, Mathematics
Document Type
Article
Publication Version
Accepted Manuscript
Publication Date
2012
Journal or Book Title
Mathematical Biosciences
Volume
238
Issue
2
First Page
65
Last Page
79
DOI
10.1016/j.mbs.2012.04.001
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.
Rights
This 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 Owner
Elsevier Inc.
Copyright Date
2012
Language
en
File Format
application/pdf
Recommended Citation
Howk, Cory L.; Levine, Howard A.; Smiley, Michael W.; Mallapragada, Surya K.; Nilsen-Hamilton, Marit; Oh, Jisun; and Sakaguchi, Donald S., "A Mathematical Model for Selective Differentiation of Neural Progenitor Cells on Micropatterned Polymer Substrates" (2012). Mathematics Publications. 42.
https://lib.dr.iastate.edu/math_pubs/42
Included in
Applied Mathematics Commons, Developmental Biology Commons, Molecular and Cellular Neuroscience Commons, Other Cell and Developmental Biology Commons
Comments
This is a manuscript of an article from Mathematical Biosciences 238 (2012): 65, doi:10.1016/j.mbs.2012.04.001. Posted with permission.