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