The Effect of Tumor Angiogenesis Agents on Tumor Growth Dynamics: A Mathematical Model
Purpose: Tumor-induced angiogenesis is a dangerous state of the tumor growth process in which solid tumors have a blood supply. Modeling has been a very important tool in studying tumor growth and angiogenesis. In this paper, we developed a cancer model by introducing tumor angiogenesis agents to b...
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| Format: | Article |
| Language: | English |
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Tehran University of Medical Sciences
2025-01-01
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| Series: | Frontiers in Biomedical Technologies |
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| Online Access: | https://fbt.tums.ac.ir/index.php/fbt/article/view/1107 |
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| author | Ali Mohseni Mohammad Pooyan Somayeh Raiesdana Mohammad Bagher Menhaj |
| author_facet | Ali Mohseni Mohammad Pooyan Somayeh Raiesdana Mohammad Bagher Menhaj |
| author_sort | Ali Mohseni |
| collection | DOAJ |
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Purpose: Tumor-induced angiogenesis is a dangerous state of the tumor growth process in which solid tumors have a blood supply. Modeling has been a very important tool in studying tumor growth and angiogenesis. In this paper, we developed a cancer model by introducing tumor angiogenesis agents to better highlight the role of these chemical substances in tumor-induced vascularization. Our model can reconstruct the transition from a pre-angiogenic to a post-angiogenic state.
Materials and Methods: The proposed model comprises five variables: host cells (normal cells), immune cells, tumor cells, endothelial cells, and tumor angiogenesis agents. Chaotic behavior in the production of different populations of cells during vascular growth may confer survival advantages to tumors. Our model has a chaotic regime, which is an indication of tumor-induced angiogenesis dynamics. The fixed points are analyzed biologically, and stability analysis is performed via their eigenvalues. We analyzed the model dynamics via observability and bifurcation analysis.
Results: The numerical simulations illustrate biological and clinical findings about vascular tumors. The results show that the proposed model with the existence of tumor angiogenesis agents could capture both avascular and vascular stages of tumor growth. There is no effect of tumor cell killing rate via immune cells on the system dynamics. However, the increase of inhibitory factors of tumor angiogenesis agents leads to the termination of chaos.
Conclusion: Our results show the ineffectiveness of targeted treatments on the immune system, which has been confirmed by many negative treatment methods in immunotherapies. Tumor-secreted inhibitor factors are essential to regulating the angiogenesis process. However, increasing inhibitor factors via anti-angiogenic drugs would be a more effective therapeutic approach to eradicate metastasis.
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| format | Article |
| id | doaj-art-5820d526f1f8419a9d9876ef5a37bb1a |
| institution | Kabale University |
| issn | 2345-5837 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Tehran University of Medical Sciences |
| record_format | Article |
| series | Frontiers in Biomedical Technologies |
| spelling | doaj-art-5820d526f1f8419a9d9876ef5a37bb1a2025-02-09T08:55:50ZengTehran University of Medical SciencesFrontiers in Biomedical Technologies2345-58372025-01-0112110.18502/fbt.v12i1.17743The Effect of Tumor Angiogenesis Agents on Tumor Growth Dynamics: A Mathematical ModelAli Mohseni0Mohammad Pooyan1Somayeh Raiesdana2Mohammad Bagher Menhaj3Department of Biomedical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, IranDepartment of Biomedical Engineering, Shahed University, Tehran, IranDepartment of Biomedical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, IranFaculty of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran Purpose: Tumor-induced angiogenesis is a dangerous state of the tumor growth process in which solid tumors have a blood supply. Modeling has been a very important tool in studying tumor growth and angiogenesis. In this paper, we developed a cancer model by introducing tumor angiogenesis agents to better highlight the role of these chemical substances in tumor-induced vascularization. Our model can reconstruct the transition from a pre-angiogenic to a post-angiogenic state. Materials and Methods: The proposed model comprises five variables: host cells (normal cells), immune cells, tumor cells, endothelial cells, and tumor angiogenesis agents. Chaotic behavior in the production of different populations of cells during vascular growth may confer survival advantages to tumors. Our model has a chaotic regime, which is an indication of tumor-induced angiogenesis dynamics. The fixed points are analyzed biologically, and stability analysis is performed via their eigenvalues. We analyzed the model dynamics via observability and bifurcation analysis. Results: The numerical simulations illustrate biological and clinical findings about vascular tumors. The results show that the proposed model with the existence of tumor angiogenesis agents could capture both avascular and vascular stages of tumor growth. There is no effect of tumor cell killing rate via immune cells on the system dynamics. However, the increase of inhibitory factors of tumor angiogenesis agents leads to the termination of chaos. Conclusion: Our results show the ineffectiveness of targeted treatments on the immune system, which has been confirmed by many negative treatment methods in immunotherapies. Tumor-secreted inhibitor factors are essential to regulating the angiogenesis process. However, increasing inhibitor factors via anti-angiogenic drugs would be a more effective therapeutic approach to eradicate metastasis. https://fbt.tums.ac.ir/index.php/fbt/article/view/1107ChaosAngiogenesisMathematical ModelVascular TumorTumor Angiogenesis AgentsNumerical Simulation |
| spellingShingle | Ali Mohseni Mohammad Pooyan Somayeh Raiesdana Mohammad Bagher Menhaj The Effect of Tumor Angiogenesis Agents on Tumor Growth Dynamics: A Mathematical Model Frontiers in Biomedical Technologies Chaos Angiogenesis Mathematical Model Vascular Tumor Tumor Angiogenesis Agents Numerical Simulation |
| title | The Effect of Tumor Angiogenesis Agents on Tumor Growth Dynamics: A Mathematical Model |
| title_full | The Effect of Tumor Angiogenesis Agents on Tumor Growth Dynamics: A Mathematical Model |
| title_fullStr | The Effect of Tumor Angiogenesis Agents on Tumor Growth Dynamics: A Mathematical Model |
| title_full_unstemmed | The Effect of Tumor Angiogenesis Agents on Tumor Growth Dynamics: A Mathematical Model |
| title_short | The Effect of Tumor Angiogenesis Agents on Tumor Growth Dynamics: A Mathematical Model |
| title_sort | effect of tumor angiogenesis agents on tumor growth dynamics a mathematical model |
| topic | Chaos Angiogenesis Mathematical Model Vascular Tumor Tumor Angiogenesis Agents Numerical Simulation |
| url | https://fbt.tums.ac.ir/index.php/fbt/article/view/1107 |
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