TCP models based on Poisson statistics are characterizing the distribution of surviving clonogens. It enables calculation for individuals. In order to describe clinically observed survival data patient cohorts it is necessary extend model. This typically done by either incorporating variations various model parameters, or using an empirical logistic The purpose this work development analytical ...

The complete mathematical biological Integral Equation Model (IEM) for Tumor Control Cumulative Probability (TCCP) development and demonstration is explained. Results algebraic variables change to obtain a suitable (TCP) in convolution at IEM getting an analytic solution detailed step by step. comprise estimates with further explanations. Solutions variable changes make the Operator analyticall...

A stochastic Gompertz model is proposed to study cancer growth with therapy. The reveals that the therapy and environmental fluctuation can control tumor size, but its extinction impossible. Optimal treatment suggested, probability density function elucidated clearly by Fokker-Planck equation.

Hyperthermia (HT) combined with irradiation is a well-known concept to improve the curative potential of radiotherapy. Technological progress has opened new avenues for thermoradiotherapy, even recurrent head and neck squamous cell carcinomas (HNSCC). Preclinical evaluation radiosensitizing various HT regimens remains ethically, economically, technically challenging. One key objective our study...