Fractional operator method on a multi-mutation and intrinsic resistance model
Kolade M. Owolabi, Albert Shikongo
Abstract
Our focus in this work is to expand the studies on a tumour-host model with chemotherapy application, by considering a model which includes terms that can express both intrinsic drug resistance and drug-induced resistance. Thus, we extend a model that expresses both drug and drug-induced resistances to include spatial effects of the involved cells, establish the physiological levels and asymptotic stability conditions of the equilibrium points of both models. Since it is not that easy to solve the extended model analytically we propose a well posed numerical method based on fractional derivatives. We present our solutions for comparison purpose with regard to the stability conditions.
Topics & Concepts
Stability (learning theory)Applied mathematicsOperator (biology)Work (physics)Focus (optics)MathematicsMutationMathematical optimizationComputer scienceBiological systemPhysicsBiologyThermodynamicsMachine learningRepressorTranscription factorBiochemistryOpticsGeneFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsMathematical Biology Tumor Growth