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Mathematical Ecology of Cancer Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Homing to the Niche: A Mathematical Model Describing the Chemotactic Migration of Hematopoietic Stem Cells

Author : Maria Neuss-Radu

Published in: Managing Complexity, Reducing Perplexity

Publisher: Springer International Publishing

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Abstract

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. The model 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.

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Metadata
Title
Homing to the Niche: A Mathematical Model Describing the Chemotactic Migration of Hematopoietic Stem Cells
Author
Maria Neuss-Radu
Copyright Year
2014
Book
Managing Complexity, Reducing Perplexity

Print ISBN: 978-3-319-03758-5

Electronic ISBN: 978-3-319-03759-2

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-03759-2_11

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