| Issue |
Math. Model. Nat. Phenom.
Volume 11, Number 1, 2016
Reviews in mathematical modelling
|
|
|---|---|---|
| Page(s) | 92 - 115 | |
| DOI | https://doi.org/10.1051/mmnp/201611106 | |
| Published online | 22 February 2016 | |
Blood Cell Dynamics: Half of a Century of Modelling
Université de Lyon, Université Lyon1, CNRS UMR 5208 Institut Camille Jordan F
- 69200 Villeurbanne Cedex, France Inria team Dracula, Inria center Grenoble Rhone-Alpes,
66 Boulevard Niels Bohr, - 69603, France
⋆ Corresponding author. E-mail:
pujo@math.univ-lyon1.fr
The objective of this paper is to give a review of the main works dealing with mathematical modeling of blood cell formation, disorders and treatments within the past fifty years. From the first models to the most recent ones, this research field has inspired many leading experts in mathematics, biology, physics, physiology and computer sciences. Each contribution was a step further to the understanding of these complex processes. This work summarizes the key ones and tries to show not only the evolution of the interest for this problem but also the different research trends throughout the decades up to the latest models of the past years.
Mathematics Subject Classification: 92D25 / 92C37 / 37N25 / 35L02
Key words: mathematical modeling / hematopoiesis / blood cell / delay differential equations / structured partial differential equation
© EDP Sciences, 2016
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