On the global dynamics of a model for tumor immunotherapy

  • Received: 01 January 2009 Accepted: 29 June 2018 Published: 01 June 2009
  • MSC : Primary: 37N25, 62P10; Secondary: 35B40.

  • Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model was developed that explored the immune response to tumors that was used to study a special type of treatment [3]. This treatment approach uses elements of the host to boost its immune response in the hopes that the host can clear the tumor. This model was extensively studied using numerical simulation, however no global analytical results were originally presented. In this work we explore the global dynamics to show under what conditions tumor clearance can be achieved.

    Citation: Denise E. Kirschner, Alexei Tsygvintsev. On the global dynamics of a model for tumor immunotherapy[J]. Mathematical Biosciences and Engineering, 2009, 6(3): 573-583. doi: 10.3934/mbe.2009.6.573

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  • Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model was developed that explored the immune response to tumors that was used to study a special type of treatment [3]. This treatment approach uses elements of the host to boost its immune response in the hopes that the host can clear the tumor. This model was extensively studied using numerical simulation, however no global analytical results were originally presented. In this work we explore the global dynamics to show under what conditions tumor clearance can be achieved.
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    © 2009 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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