Comparative Study Between a Deterministic and Stochastic model’s for the Hematopoietic Reconstitution

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dc.contributor.authorLumpuy Obregón, Dennis
dc.contributor.authorMartínez Hernández, Miguel A.
dc.contributor.departmentUCLVen_US
dc.contributor.editorCardenas, Rolando
dc.contributor.editorMochalov, Vladimir
dc.contributor.editorParra, Oscar
dc.contributor.editorMartin, Osmel
dc.coverage.spatialSwitzerlanden_US
dc.date.accessioned2023-09-07T19:36:47Z
dc.date.available2023-09-07T19:36:47Z
dc.date.issued2022-01-07
dc.description.abstractThe dynamics of the processes of cell maturation and regeneration is a branch currently in development for medicine, so taking advantage of the facilities of mathematics to model and solve environmental problems, different models of differential equations have been developed to describe these processes. From the existing deterministic models, the particular case of the hematopoietic cell is chosen, for of a comparative study on the influence of the medium on the process of cell maturation. For this, a probabilistic model of differential equations with six compartments is used. The stochastic term or environmental noise in this particular case modeled by a Weiner process. Using randomly selected diffusion coefficients, a preliminary mathematical comparison of the deterministic and stochastic systems is achieved for subsequent biological analysis. The inclusion of this term makes it possible to perform an analysis conditioned on the influence of the medium of the different processes of cellular maturation, in this case, of the hematopoietic cell.en_US
dc.identifier.citation1. A. Gratwohl HB. Trends of hematopoietic stem cell transplantation in the third millennium. Curr Opin Hematol 16. 2009:420–6. 2. A. Marciniak-Czochra TS. Mathematical models of hematopoietic reconstruction after stem cell transplantation. Model Based Parameter Estimation: Theory and Applications: Springer Verlag. Comparative Study Between a Deterministic and Stochastic model’s … 221 3. J. E. Till EAM, L. Siminovitch. A stochastic model of stem cell proliferation, based on the growth of spleen colony-forming cells: Proc Natl Acad Sci U S A; 1964. 4. T. Stiehl AM-C. Characterization of stem cells using mathematical models of multistage cell lineages. Mathematical and Computer Modelling. 2010. 5. A. Marciniak-Czochra TS, W. Jaeger, A.D. Ho, W. Wagner. Modelling of asymmetric cell division in hematopoietic stem cells-regulation of self-renewal is essential for efficient repopulation. Stem Cells Dev 18. 2009:377–85. 6. Mackey CCaMC. A mathematical model of hematopoiesis: I Periodic chronic myelogenous leukemia. J Theoret Biol. 2005;237:117–32. 7. M. Doumic AM-C, B. Perthame, and J. P. Zubelli. A Structured Population Model of Cell Differentiation. SIAM J Appl Math. (71):1918–40. 8. Z. Wu KL-P, A. Bugde, L. A. Molyneux, B. Denard, W. Li,. Capacity for stochastic self-renewal and differentiation in mammalian spermatogonial stem cells. JCB vol 187.513–24. 9. Fried W. Erythropoietin and erythropoiesis. Exp Hematol. 2009;37:1007-15. 10. A. Lasota MM, M. Wazewska-Czyzewska. Minimizing therapeutically induced anemia. J Math Biol. 1981;13:149–58. 11. Adamson JW. The relationship of erythropoietin and iron metabolism to red blood cell production in humans. Sem Oncol. 1994;21 9–15. 12. M. Z. Ratajczak JR, W. Marlicz, C. H. Pletcher, Jr., B. Machalinshi, J. Moore, H. Hung, and A. M. Gewirtz. Recombinant human thrombopoietin (TPO) stimulates erythropoiesis by inhibiting erythroid progenitor cell apoptosis. Br J Haematol. 1997(98):8–17. 13. Metcalf D. Hematopoietic cytokines. Blood. 2008;111:485-91. 14. C. L. Semerad FL, A. D. Gregory, K. Stumpf, D. C. Link. G-CSF Is an Essential Regulator of Neutrophil Trafficking from the Bone Marrow to the Blood. Immunity. 2002:413–23. 15. T. H. Price GSC, and D. C. Dale. Effect of recombinant granulocyte colony-stimulating factor on neutrophil kinetics in normal young and elderly humans. Blood. 1996;88:335–40. 16. Pa´zdziorek Pl. Mathematical model of stem cell. Preprint. 2012.en_US
dc.identifier.doihttps://doi.org/10.1007/978-3-030-88919-7en_US
dc.identifier.isbn978-3-030-88919-7en_US
dc.identifier.urihttps://dspace.uclv.edu.cu/handle/123456789/13818
dc.language.isoen_USen_US
dc.publisherSpringeren_US
dc.source.endpage221en_US
dc.source.initialpage211en_US
dc.subjectDeterministic models · Hematopoietic cell · Cell maturation · Stochastic modelen_US
dc.titleComparative Study Between a Deterministic and Stochastic model’s for the Hematopoietic Reconstitutionen_US
dc.typeBook-Chapteren_US

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