On the global dynamics of a model for tumor immunotherapy

Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model wasdeveloped 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...

Full description

Saved in:
Bibliographic Details
Main Authors: Denise E. Kirschner, Alexei Tsygvintsev
Format: Article
Language:English
Published: AIMS Press 2009-05-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.573
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832590204760752128
author Denise E. Kirschner
Alexei Tsygvintsev
author_facet Denise E. Kirschner
Alexei Tsygvintsev
author_sort Denise E. Kirschner
collection DOAJ
description Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model wasdeveloped 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 conditionstumor clearance can be achieved.
format Article
id doaj-art-a05d04447f42499ca6f65f26972b0dcb
institution Kabale University
issn 1551-0018
language English
publishDate 2009-05-01
publisher AIMS Press
record_format Article
series Mathematical Biosciences and Engineering
spelling doaj-art-a05d04447f42499ca6f65f26972b0dcb2025-01-24T01:59:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-05-016357358310.3934/mbe.2009.6.573On the global dynamics of a model for tumor immunotherapyDenise E. Kirschner0Alexei Tsygvintsev1Department of Microbiology and Immunology, The University of Michigan Medical School, Ann Arbor, MI 48109-0620Department of Microbiology and Immunology, The University of Michigan Medical School, Ann Arbor, MI 48109-0620Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model wasdeveloped 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 conditionstumor clearance can be achieved.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.573cancerlyapunov functionsimmunotherapydynamical systems.
spellingShingle Denise E. Kirschner
Alexei Tsygvintsev
On the global dynamics of a model for tumor immunotherapy
Mathematical Biosciences and Engineering
cancer
lyapunov functions
immunotherapy
dynamical systems.
title On the global dynamics of a model for tumor immunotherapy
title_full On the global dynamics of a model for tumor immunotherapy
title_fullStr On the global dynamics of a model for tumor immunotherapy
title_full_unstemmed On the global dynamics of a model for tumor immunotherapy
title_short On the global dynamics of a model for tumor immunotherapy
title_sort on the global dynamics of a model for tumor immunotherapy
topic cancer
lyapunov functions
immunotherapy
dynamical systems.
url https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.573
work_keys_str_mv AT deniseekirschner ontheglobaldynamicsofamodelfortumorimmunotherapy
AT alexeitsygvintsev ontheglobaldynamicsofamodelfortumorimmunotherapy