# Application of Hybrid Models to Blood Cell Production in the Bone Marrow

N. Bessonov; F. Crauste; S. Fischer; P. Kurbatova; V. Volpert

Mathematical Modelling of Natural Phenomena (2011)

- Volume: 6, Issue: 7, page 2-12
- ISSN: 0973-5348

## Access Full Article

top## Abstract

top## How to cite

topBessonov, N., et al. "Application of Hybrid Models to Blood Cell Production in the Bone Marrow." Mathematical Modelling of Natural Phenomena 6.7 (2011): 2-12. <http://eudml.org/doc/222447>.

@article{Bessonov2011,

abstract = {A hybrid model of red blood cell production, where cells are considered as discrete
objects while intra-cellular proteins and extra-cellular biochemical substances are
described with continuous models, is proposed. Spatial organization and regulation of red
blood cell production (erythropoiesis) are investigated. Normal erythropoiesis is
simulated in two dimensions, and the influence on the output of the model of some
parameters involved in cell fate (differentiation, self-renewal, and death by apoptosis)
is studied.},

author = {Bessonov, N., Crauste, F., Fischer, S., Kurbatova, P., Volpert, V.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {hybrid models; erythropoiesis; regulatory mechanisms},

language = {eng},

month = {6},

number = {7},

pages = {2-12},

publisher = {EDP Sciences},

title = {Application of Hybrid Models to Blood Cell Production in the Bone Marrow},

url = {http://eudml.org/doc/222447},

volume = {6},

year = {2011},

}

TY - JOUR

AU - Bessonov, N.

AU - Crauste, F.

AU - Fischer, S.

AU - Kurbatova, P.

AU - Volpert, V.

TI - Application of Hybrid Models to Blood Cell Production in the Bone Marrow

JO - Mathematical Modelling of Natural Phenomena

DA - 2011/6//

PB - EDP Sciences

VL - 6

IS - 7

SP - 2

EP - 12

AB - A hybrid model of red blood cell production, where cells are considered as discrete
objects while intra-cellular proteins and extra-cellular biochemical substances are
described with continuous models, is proposed. Spatial organization and regulation of red
blood cell production (erythropoiesis) are investigated. Normal erythropoiesis is
simulated in two dimensions, and the influence on the output of the model of some
parameters involved in cell fate (differentiation, self-renewal, and death by apoptosis)
is studied.

LA - eng

KW - hybrid models; erythropoiesis; regulatory mechanisms

UR - http://eudml.org/doc/222447

ER -

## References

top- A. R.A. Anderson.A hybrid multiscale model of solid tumour growth and invasion: Evolution and the microenvironment. in Single-Cell-Based Models in Biology and Medicine (Ed. A.R.A. Anderson, M.A.J. Chaplain and K.A. Rejniak), Series Mathematics and Biosciences in Interaction, Springer, Birkhauser Basel, 2007, 3–28.
- A.R.A. Anderson, M. Chaplain, K.A. Rejniak. Single cell based models in biology and medicine, Mathematics and Biosciences in Interaction. Springer, Birkhauser Basel, 2007.
- A. R. A. Anderson, K.A. Rejniak, P. Gerlee, V. Quaranta. Modelling of cancer growth, evolution and invasion: bridging scales and models. Math. Model. Nat. Phenom., 2(3) (2007), 1–29.
- J. Bélair, M.C. Mackey, J.M. Mahaffy. Age-structured and two delay models for erythropoiesis. Math. Biosci., 128 (1995), 317–346.
- N. Bessonov, L. Pujo-Menjouet, V. Volpert. Cell modelling of hematopoiesis. Math. Model. Nat. Phenom., 1 (2006), No. 2, 81–103.
- N. Bessonov, I. Demin, L. Pujo-Menjouet, V. Volpert. A multi-agent model describing self-renewal or differentiation effect of blood cell population. Mathematical and Computer Modelling, 49 (2009), 2116–2127.
- N. Bessonov, P. Kurbatova, V. Volpert. Particle dynamics modelling of cell populations. Prooceedings of the conference JANO, Mohamadia 2008, Math. Model. Nat. Phenom., 5 (2010), No. 7, 42–47.
- N. Bessonov, P. Kurbatova, V. Volpert. Dynamics of growing cell populations. CRM, preprint num. 931 for Mathematical Biology, February 2010.
- J.A. Chasis, N. Mohandas. Erythroblastic islands: niches for erythropoiesis. Blood, 112 (2008), pp. 470-478.
- F. Crauste, I. Demin, O. Gandrillon, V. Volpert. Mathematical study of feedback control roles and relevance in stress erythropoiesis. J. Theo. Biol., 263 (2010), 303–316.
- F. Crauste, L. Pujo-Menjouet, S. Génieys, C. Molina, O. Gandrillon. Adding self-renewal in committed erythroid progenitors improves the biological relevance of a mathematical model of erythropoiesis. J. Theor. Biol., 250 (2008), 322–338.
- I. Demin, F. Crauste, O. Gandrillon, V. Volpert. A multi-scale model of erythropoiesis, J. Biol. Dyn. 4 (2010), pp. 59–70.
- D. Drasdo.Center-based single-cell models: An approach to multi-cellular organization based on a conceptual analogy to colloidal particles. In: Single-Cell-Based Models in Biology and Medicine (Ed. A.R.A. Anderson, M.A.J. Chaplain and K.A. Rejniak), Series Mathematics and Biosciences in Interaction, Springer, Birkhauser Basel, 2007, 171-196.
- O. Gandrillon, U. Schmidt, H. Beug, J. Samarut. TGF-beta cooperates with TGF-alpha to induce the self-renewal of normal erythrocytic progenitors: evidence for an autocrine mechanism. EMBO J., 18 (1999), 2764–2781.
- M. Karttunen, I. Vattulainen, A.Lukkarinen. A novel methods in soft matter simulations, Springer, Berlin, 2004.
- M.J. Koury, M.C. Bondurant. Erythropoietin retards DNA breakdown and prevents programmed death in erythroid progenitor cells, Science, 248 (1990), 378–381.
- C. Rubiolo, D. Piazzolla, K. Meissl, H. Beug, J.C. Huber, A. Kolbus, M. Baccarini. A balance between Raf-1 and Fas expression sets the pace of erythroid differentiation. Blood, 108 (2006), 152–159.

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.