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Computer Modeling of the Immune System Reconstruction after Peripheral Blood Stem Cell Transplantation

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Mathematical Modeling and Computational Science (MMCP 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7125))

Abstract

A mathematical model for leukopoiesis has been proposed in literature, consisting of a system of ordinary differential equations with two delays. The aim of this study was to verify the assumption that the model is applicable also for T, B and NK cell recovery after stem cell transplantation and to tune the model parameters on the base of clinical data. The numerical tests illustrate the influence of the model parameters to the behavior of the monitored white blood cell populations. They also show that for certain parameter values the numerically obtained behaviour of B cells is in agreement with the clinical data.

This work is partially supported by the Bulgarian NSF grants DO 02-214/2008, D02-35/09, TK-1603/06.

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Bencheva, G., Gartcheva, L., Michova, A., Guenova, M. (2012). Computer Modeling of the Immune System Reconstruction after Peripheral Blood Stem Cell Transplantation. In: Adam, G., Buša, J., Hnatič, M. (eds) Mathematical Modeling and Computational Science. MMCP 2011. Lecture Notes in Computer Science, vol 7125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28212-6_22

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  • DOI: https://doi.org/10.1007/978-3-642-28212-6_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28211-9

  • Online ISBN: 978-3-642-28212-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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