A Continuum Model and Numerical Simulation for Avascular Tumor Growth
A spatio-temporal continuum model is developed for avascular tumor growth in two dimensions using fractional advection-diffusion equation as the transportation in biological systems is heterogeneous and anomalous in nature (non-Fickian). The model handles skewness with a suitable parameter. We study the behavior of this model with a set of parameters, and suitable initial and boundary conditions. It is found that the fractional advection-diffusion equation based model is more realistic as it provides more insightful information for tumor growth at the macroscopic level.
KeywordsAvascular tumor growth Anomalous diffusion Fractional advection-diffusion equation
We are thankful to University Grant Commission, Government of India for supporting the first author with a Junior Research Fellowship.
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