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A Prey-Predator Model for Immune Response and Drug Resistance in Tumor Growth

  • G. Albano
  • V. Giorno
  • C. Saturnino
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4739)

Abstract

In this paper the interaction between cancer and immunological system is analysed. The model is a modification of a one proposed by de Vladar and Gonzales. For our model the stability is analysed. Furthermore, the effect of a therapy schedule with fixed concentration is investigated. Mathematically, the effect of therapy is viewed as a moderating term both for tumor cell growth rate and for T-cells death rate. In conclusion, a systematic computational analysis is associated to the obtained theoretical results.

Keywords

Prey-predator model Gompertz growth immune surveilance 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • G. Albano
    • 1
  • V. Giorno
    • 1
  • C. Saturnino
    • 2
  1. 1.Dipartimento di Matematica e Informatica, Università di Salerno, Via Ponte don Melillo, Fisciano (SA)Italy
  2. 2.Dip. di Scienze Farmaceutiche , Università di Salerno, Via Ponte don Melillo, Fisciano (SA)Italy

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