A dual-aggressive model of tumor-immune system interactions
Biomedical literature suggested that the tumor-immune system physical phenomenon usually climaxes into either tumor elimination or escape. In retort to the phenomenological mechanics of tumor-immune system interaction, researchers had used Mathematical models mostly prey-predator and competitive ext...
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Kassel University Press GmbH
2019
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my.utm.890822021-01-26T08:44:22Z http://eprints.utm.my/id/eprint/89082/ A dual-aggressive model of tumor-immune system interactions Afolabi, Abdulkareem Ibrahim Maan, Normah QA Mathematics Biomedical literature suggested that the tumor-immune system physical phenomenon usually climaxes into either tumor elimination or escape. In retort to the phenomenological mechanics of tumor-immune system interaction, researchers had used Mathematical models mostly prey-predator and competitive extensively, to model the dynamics of tumor immune system interaction. However, these models had not accounted for total elimination and, or escape of tumor as hypothesizes by immunoediting hypotheses. In this work, we propose a dual aggressive model based on the biological narration of tumorimmune system interactions. The stability analyses of tumor-negative steady state are stable if the rate at which body cells dies is less than their proliferation rate a confirmation of biological listed causes of the tumor. The tumor-positive steady state is always unstable and saddle with the likelihood of either elimination or escape of tumor. Numerical analysis validates our analytical results and provides insight into the dynamics of the benignant and malignant tumor. The immunosuppression by tumor is not only visible but also validated by both analytical and numerical analysis. Kassel University Press GmbH 2019 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/89082/1/NormahMaan2019_ADual-AggressiveModelofTumor-ImmuneSystemInteractions.pdf Afolabi, Abdulkareem Ibrahim and Maan, Normah (2019) A dual-aggressive model of tumor-immune system interactions. International journal of online and biomedical engineering, 15 (10). pp. 155-161. ISSN 2626-8493 http://dx.doi.org/10.3991/ijoe.v15i10.10877 |
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QA Mathematics Afolabi, Abdulkareem Ibrahim Maan, Normah A dual-aggressive model of tumor-immune system interactions |
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Biomedical literature suggested that the tumor-immune system physical phenomenon usually climaxes into either tumor elimination or escape. In retort to the phenomenological mechanics of tumor-immune system interaction, researchers had used Mathematical models mostly prey-predator and competitive extensively, to model the dynamics of tumor immune system interaction. However, these models had not accounted for total elimination and, or escape of tumor as hypothesizes by immunoediting hypotheses. In this work, we propose a dual aggressive model based on the biological narration of tumorimmune system interactions. The stability analyses of tumor-negative steady state are stable if the rate at which body cells dies is less than their proliferation rate a confirmation of biological listed causes of the tumor. The tumor-positive steady state is always unstable and saddle with the likelihood of either elimination or escape of tumor. Numerical analysis validates our analytical results and provides insight into the dynamics of the benignant and malignant tumor. The immunosuppression by tumor is not only visible but also validated by both analytical and numerical analysis. |
format |
Article |
author |
Afolabi, Abdulkareem Ibrahim Maan, Normah |
author_facet |
Afolabi, Abdulkareem Ibrahim Maan, Normah |
author_sort |
Afolabi, Abdulkareem Ibrahim |
title |
A dual-aggressive model of tumor-immune system interactions |
title_short |
A dual-aggressive model of tumor-immune system interactions |
title_full |
A dual-aggressive model of tumor-immune system interactions |
title_fullStr |
A dual-aggressive model of tumor-immune system interactions |
title_full_unstemmed |
A dual-aggressive model of tumor-immune system interactions |
title_sort |
dual-aggressive model of tumor-immune system interactions |
publisher |
Kassel University Press GmbH |
publishDate |
2019 |
url |
http://eprints.utm.my/id/eprint/89082/1/NormahMaan2019_ADual-AggressiveModelofTumor-ImmuneSystemInteractions.pdf http://eprints.utm.my/id/eprint/89082/ http://dx.doi.org/10.3991/ijoe.v15i10.10877 |
_version_ |
1690370967477420032 |
score |
13.250246 |