Mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growth
This study presents a mathematical model of glioma growth dynamics with drug resistance, capturing interactions among five cell populations – glial cells, sensitive and resistant glioma cells, endothelial cells, and neurons – alongside chemotherapy and antiangiogenic therapy. Glioma, a malignant tum...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-04-01
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| Series: | Computational and Mathematical Biophysics |
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| Online Access: | https://doi.org/10.1515/cmb-2025-0022 |
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| _version_ | 1850201776699998208 |
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| author | Hanum Latifah Susyanto Nanang Ertiningsih Dwi |
| author_facet | Hanum Latifah Susyanto Nanang Ertiningsih Dwi |
| author_sort | Hanum Latifah |
| collection | DOAJ |
| description | This study presents a mathematical model of glioma growth dynamics with drug resistance, capturing interactions among five cell populations – glial cells, sensitive and resistant glioma cells, endothelial cells, and neurons – alongside chemotherapy and antiangiogenic therapy. Glioma, a malignant tumor originating in glial cells, undergoes chemotherapy-induced mutations, leading to drug-resistant variants that affect both tumor and normal cells. The model incorporates a Holling Type II response function to optimize treatment doses while inducing angiogenic dormancy. Stability analysis identifies three equilibrium points – two stable and one unstable – while numerical simulations using phase portraits and trajectory diagrams illustrate the impact of combined therapies. This model provides insights into glioma progression and drug resistance, emphasizing the efficacy of combined therapies for optimizing treatment strategies. |
| format | Article |
| id | doaj-art-fd623ba0a7e940adbf2cfdd68a3edd1e |
| institution | OA Journals |
| issn | 2544-7297 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Computational and Mathematical Biophysics |
| spelling | doaj-art-fd623ba0a7e940adbf2cfdd68a3edd1e2025-08-20T02:11:55ZengDe GruyterComputational and Mathematical Biophysics2544-72972025-04-011311878188610.1515/cmb-2025-0022Mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growthHanum Latifah0Susyanto Nanang1Ertiningsih Dwi2Department of Mathematics, Universitas Gadjah Mada, Yogyakarta 55281, IndonesiaDepartment of Mathematics, Universitas Gadjah Mada, Yogyakarta 55281, IndonesiaDepartment of Mathematics, Universitas Gadjah Mada, Yogyakarta 55281, IndonesiaThis study presents a mathematical model of glioma growth dynamics with drug resistance, capturing interactions among five cell populations – glial cells, sensitive and resistant glioma cells, endothelial cells, and neurons – alongside chemotherapy and antiangiogenic therapy. Glioma, a malignant tumor originating in glial cells, undergoes chemotherapy-induced mutations, leading to drug-resistant variants that affect both tumor and normal cells. The model incorporates a Holling Type II response function to optimize treatment doses while inducing angiogenic dormancy. Stability analysis identifies three equilibrium points – two stable and one unstable – while numerical simulations using phase portraits and trajectory diagrams illustrate the impact of combined therapies. This model provides insights into glioma progression and drug resistance, emphasizing the efficacy of combined therapies for optimizing treatment strategies.https://doi.org/10.1515/cmb-2025-0022drug resistanceantiangiogenic therapymathematical modelstability35l0535l70 |
| spellingShingle | Hanum Latifah Susyanto Nanang Ertiningsih Dwi Mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growth Computational and Mathematical Biophysics drug resistance antiangiogenic therapy mathematical model stability 35l05 35l70 |
| title | Mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growth |
| title_full | Mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growth |
| title_fullStr | Mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growth |
| title_full_unstemmed | Mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growth |
| title_short | Mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growth |
| title_sort | mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growth |
| topic | drug resistance antiangiogenic therapy mathematical model stability 35l05 35l70 |
| url | https://doi.org/10.1515/cmb-2025-0022 |
| work_keys_str_mv | AT hanumlatifah mathematicalmodeloftheimpactofchemotherapyandantiangiogenictherapyondrugresistanceingliomagrowth AT susyantonanang mathematicalmodeloftheimpactofchemotherapyandantiangiogenictherapyondrugresistanceingliomagrowth AT ertiningsihdwi mathematicalmodeloftheimpactofchemotherapyandantiangiogenictherapyondrugresistanceingliomagrowth |