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Comparison of Predator-Prey Model and Hawk-Dove Game for Modelling Leukemia

Game theory is an excellent mathematical tool to describe the interaction between the immune system and cancerous leukocytes (c.leu). The feature of cancerous leukocytes to differentiate and mutate to give rise to leukemia is in the domain of ecological models as well. In this work, the dynamic of l...

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Autores principales: Sultana, Mariam, Khan, Fareeha Sami, Khalid, M., Al-moneef, Areej A., Ali, Ali Hasan, Bazighifan, Omar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9522487/
https://www.ncbi.nlm.nih.gov/pubmed/36188674
http://dx.doi.org/10.1155/2022/9957514
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author Sultana, Mariam
Khan, Fareeha Sami
Khalid, M.
Al-moneef, Areej A.
Ali, Ali Hasan
Bazighifan, Omar
author_facet Sultana, Mariam
Khan, Fareeha Sami
Khalid, M.
Al-moneef, Areej A.
Ali, Ali Hasan
Bazighifan, Omar
author_sort Sultana, Mariam
collection PubMed
description Game theory is an excellent mathematical tool to describe the interaction between the immune system and cancerous leukocytes (c.leu). The feature of cancerous leukocytes to differentiate and mutate to give rise to leukemia is in the domain of ecological models as well. In this work, the dynamic of leukemia is described and compared by two models: firstly by a simple probabilistic mathematical model using the zero-sum two player game of Hawk and Dove, and secondly by Leslie Predator Prey model of ecology. The main goal of this study is to compare the results of both models and then discuss the treatment of leukemia i.e., Hematopoietic Stem cell transplant with the best model among them. Hawk and Dove model also describes the cell to cell interaction of cancerous leukocytes and healthy leukocytes (leu) after diagnoses and the condition of the patient before and after treatments. In this work, Hematopoietic Stem cell transplant is discussed by using concepts of a zero-sum three player game. Also, both models will be characterized by determining the stability properties, identifying basins of attraction, and locating the equilibrium points to see, at what extent the patient's survival is possible with leukemia in its body. Results for both models will be presented graphically.
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spelling pubmed-95224872022-09-30 Comparison of Predator-Prey Model and Hawk-Dove Game for Modelling Leukemia Sultana, Mariam Khan, Fareeha Sami Khalid, M. Al-moneef, Areej A. Ali, Ali Hasan Bazighifan, Omar Comput Intell Neurosci Research Article Game theory is an excellent mathematical tool to describe the interaction between the immune system and cancerous leukocytes (c.leu). The feature of cancerous leukocytes to differentiate and mutate to give rise to leukemia is in the domain of ecological models as well. In this work, the dynamic of leukemia is described and compared by two models: firstly by a simple probabilistic mathematical model using the zero-sum two player game of Hawk and Dove, and secondly by Leslie Predator Prey model of ecology. The main goal of this study is to compare the results of both models and then discuss the treatment of leukemia i.e., Hematopoietic Stem cell transplant with the best model among them. Hawk and Dove model also describes the cell to cell interaction of cancerous leukocytes and healthy leukocytes (leu) after diagnoses and the condition of the patient before and after treatments. In this work, Hematopoietic Stem cell transplant is discussed by using concepts of a zero-sum three player game. Also, both models will be characterized by determining the stability properties, identifying basins of attraction, and locating the equilibrium points to see, at what extent the patient's survival is possible with leukemia in its body. Results for both models will be presented graphically. Hindawi 2022-09-22 /pmc/articles/PMC9522487/ /pubmed/36188674 http://dx.doi.org/10.1155/2022/9957514 Text en Copyright © 2022 Mariam Sultana et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Sultana, Mariam
Khan, Fareeha Sami
Khalid, M.
Al-moneef, Areej A.
Ali, Ali Hasan
Bazighifan, Omar
Comparison of Predator-Prey Model and Hawk-Dove Game for Modelling Leukemia
title Comparison of Predator-Prey Model and Hawk-Dove Game for Modelling Leukemia
title_full Comparison of Predator-Prey Model and Hawk-Dove Game for Modelling Leukemia
title_fullStr Comparison of Predator-Prey Model and Hawk-Dove Game for Modelling Leukemia
title_full_unstemmed Comparison of Predator-Prey Model and Hawk-Dove Game for Modelling Leukemia
title_short Comparison of Predator-Prey Model and Hawk-Dove Game for Modelling Leukemia
title_sort comparison of predator-prey model and hawk-dove game for modelling leukemia
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9522487/
https://www.ncbi.nlm.nih.gov/pubmed/36188674
http://dx.doi.org/10.1155/2022/9957514
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