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Analysis of brain tumour growth model by Adomian decomposition method - MaRDI portal

Analysis of brain tumour growth model by Adomian decomposition method (Q2084141)

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scientific article; zbMATH DE number 7602534
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Analysis of brain tumour growth model by Adomian decomposition method
scientific article; zbMATH DE number 7602534

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    Analysis of brain tumour growth model by Adomian decomposition method (English)
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    17 October 2022
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    Summary: The current work involves the study of brain tumour growth (glioblastoma), which is a very aggressive brain tumour. The mathematical model is mainly based on two parameters - the diffusion and growth of tumour cells. Based on various medical studies conducted by researchers, which demonstrate that the combination of radiotherapy and chemotherapy can lead to negative tumour growth. This study uses the Adomian Decomposition Method and its convergence analysis to obtain an approximate solution of equation governing tumour growth. The result is consistent with the physical phenomenon of tumour growth, in which tumour concentration increases linearly after a patient is treated with combination therapy as opposed to rapid exponential growth.
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    Adomian decomposition method
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    Burgess equation
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    Adomian polynomials
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    non-linear partial differential equation
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