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

  • Kamila Larripa Humboldt State University
  • Angela Gallegos Loyola Maramount University
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.

Published
2017-01-01
How to Cite
Larripa, Kamila, and Angela Gallegos. 2017. “A Mathematical Model of Noggin and BMP Densities in Adult Neural Stem Cells”. Letters in Biomathematics 4 (1), 219-43. https://doi.org/10.1080/23737867.2017.1401493.
Section
Research