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Comparative Analysis of Solution Methods for Delay Differential Equations in Hematology

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Large-Scale Scientific Computing (LSSC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5910))

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Abstract

Considered model of blood cells production and regulation under the action of growth factors consists of a system of ordinary differential equations with delays. Six methods for solution of such systems are experimentally compared. XPPAUT, a software tool that brings together various algorithms and provides means for visualisation of the solution, is used for this purpouse. The computing times and the quality of the solution are analyzed with the help of test data for red blood cells.

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References

  1. Adimy, M., Crauste, F., Ruan, S.: Modelling Hematopoiesis Mediated by Growth Factors with Applications to Periodic Hematological Diseases. Bulletin of Mathematical Biology 68(8), 2321–2351 (2006)

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Author information

Authors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bontchev, Bl. 25A, 1113, Sofia, Bulgaria

    Gergana Bencheva

Authors
  1. Gergana Bencheva
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Richard Petersens Plads - Building 321, 2800, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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Bencheva, G. (2010). Comparative Analysis of Solution Methods for Delay Differential Equations in Hematology. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2009. Lecture Notes in Computer Science, vol 5910. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12535-5_85

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  • DOI: https://doi.org/10.1007/978-3-642-12535-5_85

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12534-8

  • Online ISBN: 978-3-642-12535-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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