A mathematical model of Noggin and BMP densities in adult neural stem cells

Authors

  • Kamila Larripa Department of Mathematics, Humboldt State University, Arcata, CA, USA Author
  • Angela Gallegos Department of Mathematics, Loyola Maramount University, Los Angeles, CA, USA Author

DOI:

https://doi.org/10.30707/LiB4.1Larripa

Keywords:

Adult neural stem cells, Adult hippocampus, Quiescence, Partial differential equations, Mathematical biology

Abstract

New neurons are generated in the adult hippocampus throughout life by neural stem cells (NSCs) in a dynamic process responsive to external signalling cues. NSCs in the adult hippocampus divide infrequently, and it has been shown that bone morphogenetic protein (BMP) modulates their quiescence. Infusion of Noggin, a BMP antagonist, blocks this signalling. We investigate the balance of BMP and Noggin in this particular niche and qualitatively reproduce experimental results obtained and qualitatively reproduce experimental results with a one-dimensional reaction-diffusion model. We use the model to connect BMP signalling profiles with specific cellular outcomes and to determine whether the transient infusion of BMP leads to a signalling profile which can be reversed by the infusion of Noggin. Additionally, we analyse the role of diffusion in this system for generating signalling profiles with dramatically different cell-fate outcomes and show that diffusion-driven instability is not possible in our system of reaction–diffusion equations.

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Published

2017-01-01

Issue

Section

Research

How to Cite

A mathematical model of Noggin and BMP densities in adult neural stem cells. (2017). Letters in Biomathematics, 4(1), 219-243. https://doi.org/10.30707/LiB4.1Larripa

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