Analysis of a Radiotherapy Model for Brain Tumors
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913519998337024 |
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| author | Chugunova, Marina Ji, Hangjie Taranets, Roman Vasylyeva, Nataliya |
| author_facet | Chugunova, Marina Ji, Hangjie Taranets, Roman Vasylyeva, Nataliya |
| contents | In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors with radiotherapy influence. Under certain assumptions on the given data in the model, we prove existence and uniqueness of a weak nonnegative (biological relevant) solution. Then, assuming only more regular initial data, we obtain the extra regularity of this solution. Besides, we analyze the optimal control of the advection coefficient responding for the radiotherapy effect on the tumor cell population. Finally, we provide numerical illustration to all obtained analytical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17903 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analysis of a Radiotherapy Model for Brain Tumors Chugunova, Marina Ji, Hangjie Taranets, Roman Vasylyeva, Nataliya Analysis of PDEs Optimization and Control Medical Physics In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors with radiotherapy influence. Under certain assumptions on the given data in the model, we prove existence and uniqueness of a weak nonnegative (biological relevant) solution. Then, assuming only more regular initial data, we obtain the extra regularity of this solution. Besides, we analyze the optimal control of the advection coefficient responding for the radiotherapy effect on the tumor cell population. Finally, we provide numerical illustration to all obtained analytical results. |
| title | Analysis of a Radiotherapy Model for Brain Tumors |
| topic | Analysis of PDEs Optimization and Control Medical Physics |
| url | https://arxiv.org/abs/2409.17903 |