A mathematical model of Noggin and BMP densities in adult neural stem cells. Issue 1 (1st January 2017)

• Record Type: Journal Article
• Authors: Larripa, Kamila; Gallegos, Angela
• Is Part Of: Letters in biomathematics. Volume 4:Issue 1(2017)
• Page Start: 219
• Page End: 243
• Publication Date: 2017-01-01
• Subjects: Adult neural stem cells -- adult hippocampus -- quiescence -- partial differential equations -- mathematical biology; NSC: Neural Stem Cell -- SVZ: subventricular zone of the hippocampus -- SGZ: subgranular zone of the hippocampus -- BMP: bone morphogenetic protein; Biomathematics -- Periodicals; Computational Biology; Biostatistics; Models, Biological; Biomathematics; Periodicals; Periodicals; 570.151
• DOI: 10.1080/23737867.2017.1401493
• Languages: English
• ISSNs: 2373-7867

Abstract

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.