Solving an isotropic grey matter tumour model via a heat transfer equation
Abstract: The prevalence and growth characteristics of glioma tumours in human tissues are often modelled by a parabolic partial differential equation. It is essential to analyse tumour growth factors to establish mathematical benchmarks in understanding cancer progression. In this tumour study, we consider factors such as the tumour proliferation rates and the anisotropy of the spatial diffusion tensor. We aim to solve the resulting model together with its initial condition, to provide realistic biological predictions into the mechanism of cancer invasion, metastasis and life expectancy after diagnosis. The solutions are inspired by transformations that we propose to convert the tumour model into a heat equation. A key component in understanding the physics of cancer phenomena, is through obtaining precise solutions. Lie symmetries provide the mechanism to obtain exact solutions.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Solving an isotropic grey matter tumour model via a heat transfer equation ; volume:23 ; number:1 ; year:2025 ; extent:8
Open physics ; 23, Heft 1 (2025) (gesamt 8)
- Creator
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Jamal, Sameerah
- DOI
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10.1515/phys-2025-0120
- URN
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urn:nbn:de:101:1-2502180254117.922930766705
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:36 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Jamal, Sameerah
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