Neuss-Radu M (2014)
Publication Status: Published
Publication Type: Book chapter / Article in edited volumes
Publication year: 2014
Publisher: Springer New York LLC
Edited Volumes: Managing Complexity, Reducing Perplexity. Modeling Biological Systems
Series: Springer Proceedings in Mathematics & Statistics
Book Volume: 67
Pages Range: 101-108
ISBN: 9783319037585
DOI: 10.1007/978-3-319-03759-2_11
It has been shown that hematopoietic stem cells migrate in vitro and in vivo following the gradient of a chemotactic factor produced by stroma cells. In this contribution, a quantitative model for this process is presented. Themodel consists of chemotaxis equations coupled with an ordinary differential equation on the boundary of the domain and subjected to nonlinear boundary conditions. The existence and uniqueness of a local solution is proved and the model is simulated numerically. It turns out that for adequate parameter ranges, the qualitative behavior of the stem cells observed in the experiment is in good agreement with the numerical results. Our investigations represent a first step in the process of elucidating the mechanism underlying the homing of hematopoietic stem cells quantitatively.
APA:
Neuss-Radu, M. (2014). Homing to the niche: A mathematical model describing the chemotactic migration of hematopoietic stem cells. In Marcello Delitala, Giulia Ajmone Marsan (Eds.), Managing Complexity, Reducing Perplexity. Modeling Biological Systems. (pp. 101-108). Springer New York LLC.
MLA:
Neuss-Radu, Maria. "Homing to the niche: A mathematical model describing the chemotactic migration of hematopoietic stem cells." Managing Complexity, Reducing Perplexity. Modeling Biological Systems. Ed. Marcello Delitala, Giulia Ajmone Marsan, Springer New York LLC, 2014. 101-108.
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