A fuzzy mathematical model for tumor growth pattern using generalized Hukuhara derivative and its numerical analysis

Abstract

Fuzzy mathematical modeling has been extensively used in recent years as a helpful tool to achieve a stronger and broader understanding of a specific biological topic such as cancer. The Fuzzy mathematical model allows one to analyze the structure both qualitatively and quantitatively using mathematical methods and clarifies a tool for observing the results of different components and making behavioral projection. To reduce the ambiguity of model parameters, a fuzzy environment has been designed to address a more accurate mathematical tumor growth model. The complete pattern of tumor growth mechanism is captured with the fuzzy mathematical model using fuzzy differential equation. The concept of Generalized Hukuhara derivative is used to transform the differential equation into a system of two ordinary differential equations. The numerical simulation has also been given to support the mathematical tumor growth model in a fuzzy environment.