Back to Search Start Over

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

Authors :
Kamila Larripa
Angela Gallegos
Source :
Letters in Biomathematics, Vol 4, Iss 1, Pp 219-243 (2017)
Publication Year :
2017
Publisher :
Intercollegiate Biomathematics Alliance, 2017.

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.

Details

Language :
English
ISSN :
23737867
Volume :
4
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Letters in Biomathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.26d13a36bd94978856f9465295b0e5c
Document Type :
article
Full Text :
https://doi.org/10.1080/23737867.2017.1401493