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

  • Gergana Bencheva
  • Lidia Gartcheva
  • Antoaneta Michova
  • Margarita Guenova
Part of the Lecture Notes in Computer Science book series (LNCS, 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.

Keywords

leukopoiesis delay differential equations tuning model parameters haematopoietic stem cells immune reconstitution 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Gergana Bencheva
    • 1
  • Lidia Gartcheva
    • 2
  • Antoaneta Michova
    • 3
  • Margarita Guenova
    • 2
  1. 1.Institute of Information and Communication TechnologiesBulgarian Academy of SciencesSofiaBulgaria
  2. 2.Laboratory of Haematopathology and ImmunologyNational Hospital for Active Treatment of Haematological DiseasesSofiaBulgaria
  3. 3.Central Laboratory of ImmunologyNational Center of Infectious and Parasitic DiseasesSofiaBulgaria

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