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

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Computer Aided Systems Theory – EUROCAST 2007 (EUROCAST 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4739))

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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.

Work performed under partial support by MIUR (PRIN 2005) G.N.C.S-INdAM.

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References

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Roberto Moreno Díaz Franz Pichler Alexis Quesada Arencibia

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© 2007 Springer-Verlag Berlin Heidelberg

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Albano, G., Giorno, V., Saturnino, C. (2007). A Prey-Predator Model for Immune Response and Drug Resistance in Tumor Growth. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2007. EUROCAST 2007. Lecture Notes in Computer Science, vol 4739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75867-9_22

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  • DOI: https://doi.org/10.1007/978-3-540-75867-9_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75866-2

  • Online ISBN: 978-3-540-75867-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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