Abstract
In this article, we are predicting a time-fractional-order cancer tumor growth model of brain and investigating the use of fractional derivatives as compared to integral order derivatives in space and time-dependent diffusion equations. In the brain, tumor, cancer cells grow abruptly and possibly spread to other organs and central nervous system. Treatment by medicine or therapy is required to control the tumor growth and diagnosis should be faster than tumor spread. We consider a case in which net killing rate and tumor growth are taken into account and therapy is time dependent. The fractional reduced differential transform method (RDTM) has been performed to obtain the solution of the model. It is feasible to find a closed approximate solution as well as an exact solution of fractional-order partial differential equations by using RDTM technique.
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Gandhi, H., Tomar, A., Singh, D. (2021). A Predicted Mathematical Cancer Tumor Growth Model of Brain and Its Analytical Solution by Reduced Differential Transform Method. In: Singh, P., Gupta, R.K., Ray, K., Bandyopadhyay, A. (eds) Proceedings of International Conference on Trends in Computational and Cognitive Engineering. Advances in Intelligent Systems and Computing, vol 1169. Springer, Singapore. https://doi.org/10.1007/978-981-15-5414-8_17
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