A viscous modified Gompertz model for the analysis of the kinetics of tumors under electrochemical therapy

Luis Enrique Bergues Cabrales, Juan I. Montijano, Maria Schonbek and Antonio Rafael Selva Castañeda

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 151, issue C, 96-110

Abstract: Knowledge of tumor growth kinetics constitutes a challenge for researchers. Different models have been used to describe data of unperturbed and perturbed tumors. The modified Gompertz equation had been proposed to describe diverse responses of direct current treated tumors (disease progression, stable disease, partial response and complete response). Nevertheless, diffusion processes involved in the tumor growth are not integrated in this equation. This paper analyzes the viscous modified Gompertz equation. It is shown that for certain input parameters the corresponding solutions decrease exponentially in appropriate time intervals.

Keywords: Diffusion process; Modified Gompertz equation; Tumor; Electrochemical therapy (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:151:y:2018:i:c:p:96-110

DOI: 10.1016/j.matcom.2018.03.005

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