title: A mathematical model for selective differentiation of neural progenitor cells on micropatterned polymer substrates.
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.
authors.affiliation: Department of Mathematics, Iowa State University, Ames, IA 50011, USA. cory-howk@uiowa.edu
authors.forename: Cory L
authors.initials: CL
authors.lastname: Howk
authors.forename: Howard A
authors.initials: HA
authors.lastname: Levine
authors.forename: Michael W
authors.initials: MW
authors.lastname: Smiley
authors.forename: Surya K
authors.initials: SK
authors.lastname: Mallapragada
authors.forename: Marit
authors.initials: M
authors.lastname: Nilsen-Hamilton
authors.forename: Jisun
authors.initials: J
authors.lastname: Oh
authors.forename: Donald S
authors.initials: DS
authors.lastname: Sakaguchi
mesh_terms: D000818:Animals; D002454:Cell Differentiation / Q000502:physiology; D003198:Computer Simulation; D006624:Hippocampus / Q000166:cytology*; D015850:Interleukin-6 / Q000502:physiology; D007700:Kinetics; D008959:Models, Neurological; D058953:Neural Stem Cells / Q000166:cytology*; D009474:Neurons / Q000166:cytology*; D051381:Rats; D019947:Receptors, Interleukin-6 / Q000502:physiology
chemical_list: D015850:Interleukin-6; D019947:Receptors, Interleukin-6