Abstract
Hematopoiesis is the process responsible for maintaining the number of circulating blood cells that are undergoing continuous turnover. At the root of this process are the hematopoietic stem cells (HSC), that replicate slowly to self-renew and give rise to progeny cells that proceed along the path of differentiation. The process is complex, with the cells responding to a wide variety of cytokines and growth factors. We discuss the mathematics of hematopoiesis based on stochastic cell behavior. Multiple compartments are introduced to keep track of each cell division process and increasing differentiation. The same mathematical model that describes normal hematopoiesis across mammals as a stable steady state of a hierarchical stochastic process is also used to understand the detailed dynamics of various disorders both in humans and in animal models. The microecology of the multitude of cell lineages that constitute what we call troubled hematopoiesis evolves in time under mutation and selection, the paradigmatic components of Darwinian evolution. Thus, the present approach provides a novel perspective for looking at cancer progression and cure.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1546-1557 |
| Number of pages | 12 |
| Journal | Mathematical and Computer Modelling |
| Volume | 53 |
| Issue number | 7-8 |
| DOIs | |
| State | Published - Apr 2011 |
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Keywords
- Cancer modelling
- Hematopoiesis
- Mathematical modelling
- Somatic evolution of cancer
- Stochastic processes
ASJC Scopus subject areas
- Computer Science Applications
- Modeling and Simulation
Cite this
Modelling hematopoiesis in health and disease. / Peixoto, Diogo; Dingli, David M; Pacheco, Jorge M.
In: Mathematical and Computer Modelling, Vol. 53, No. 7-8, 04.2011, p. 1546-1557.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Modelling hematopoiesis in health and disease
AU - Peixoto, Diogo
AU - Dingli, David M
AU - Pacheco, Jorge M.
PY - 2011/4
Y1 - 2011/4
N2 - Hematopoiesis is the process responsible for maintaining the number of circulating blood cells that are undergoing continuous turnover. At the root of this process are the hematopoietic stem cells (HSC), that replicate slowly to self-renew and give rise to progeny cells that proceed along the path of differentiation. The process is complex, with the cells responding to a wide variety of cytokines and growth factors. We discuss the mathematics of hematopoiesis based on stochastic cell behavior. Multiple compartments are introduced to keep track of each cell division process and increasing differentiation. The same mathematical model that describes normal hematopoiesis across mammals as a stable steady state of a hierarchical stochastic process is also used to understand the detailed dynamics of various disorders both in humans and in animal models. The microecology of the multitude of cell lineages that constitute what we call troubled hematopoiesis evolves in time under mutation and selection, the paradigmatic components of Darwinian evolution. Thus, the present approach provides a novel perspective for looking at cancer progression and cure.
AB - Hematopoiesis is the process responsible for maintaining the number of circulating blood cells that are undergoing continuous turnover. At the root of this process are the hematopoietic stem cells (HSC), that replicate slowly to self-renew and give rise to progeny cells that proceed along the path of differentiation. The process is complex, with the cells responding to a wide variety of cytokines and growth factors. We discuss the mathematics of hematopoiesis based on stochastic cell behavior. Multiple compartments are introduced to keep track of each cell division process and increasing differentiation. The same mathematical model that describes normal hematopoiesis across mammals as a stable steady state of a hierarchical stochastic process is also used to understand the detailed dynamics of various disorders both in humans and in animal models. The microecology of the multitude of cell lineages that constitute what we call troubled hematopoiesis evolves in time under mutation and selection, the paradigmatic components of Darwinian evolution. Thus, the present approach provides a novel perspective for looking at cancer progression and cure.
KW - Cancer modelling
KW - Hematopoiesis
KW - Mathematical modelling
KW - Somatic evolution of cancer
KW - Stochastic processes
UR - http://www.scopus.com/inward/record.url?scp=79951581181&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79951581181&partnerID=8YFLogxK
U2 - 10.1016/j.mcm.2010.04.013
DO - 10.1016/j.mcm.2010.04.013
M3 - Article
AN - SCOPUS:79951581181
VL - 53
SP - 1546
EP - 1557
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
SN - 0895-7177
IS - 7-8
ER -