A mathematical model for selective differentiation of neural progenitor cells on micropatterned polymer substrates.

نویسندگان

  • Cory L Howk
  • Howard A Levine
  • Michael W Smiley
  • Surya K Mallapragada
  • Marit Nilsen-Hamilton
  • Jisun Oh
  • Donald S Sakaguchi
چکیده

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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عنوان ژورنال:
  • Mathematical biosciences

دوره 238 2  شماره 

صفحات  -

تاریخ انتشار 2012