Abstract
Modelling and Analysis of Virotherapy of Cancer Using an Efficient Hybrid Soft Computing Procedure
Highlights
For numerical experimentation, the model by Dingli et al [18] and Tao [19] evaluated a combination of two effects, that is, radiotherapy and virotherapy
Dingli et al [18] proposed a model for treatment in the first phase for the dynamic of tumor undergoing virotherapy. en, later on, the extension is made to the model for the second phase treatment. e models are driven by first-order ordinary differential equations (ODEs) and are based on population dynamics. e qualitative evaluation revealed the existence of equilibrium point and success ratio that is fully or partially successful
A model presented is considered as a special case of Dingli et al.’s model [18]; in this, assumption is made on logistic growth of a tumor, and this model discussed cancer that is aggressive in nature. us, the replication of tumors is to their size
Summary
For the treatment of cancer, this mathematical model describes the interactions between cancer and virus. e model is described by a nonlinear ODE system given in (1); all of the variables and parameters in this system are nonnegative. E artificial neural network-based model is designed for the solution of CVRT. E activation function is used, given in equation (19), for the approximation of the solution of CVRT. Equations (16)–(18) represent the artificial neural network-based model of CVRT. E fitness function for the mathematical model of CVRT is based on the mean square error of the differential equation of the model, given in equation (4), and associated initial conditions, given in equation (5). As the SCA is a global search unsupervised algorithm and based on a random population, some time is stuck in the local search. E definition of performance indicators is given in the following mathematical forms: System Model. To verify the quality, efficiency, and effectiveness of the proposed scheme, the global extension of the performance indicator is utilized. In equations (33)–(35), I represents the number of runs. e scheme is executed for multiple runs. e global operators depend on the average values of their respective operators
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