RADIOTHERAPY COMPLETE MATHEMATICAL DEMONSTRATION FOR BIOLOGICAL TUMOR CONTROL CUMULATIVE PROBABILITY INTEGRAL EQUATION MODEL WITH APPLICATIONS

Autor:	Casesnoves, Francisco
Rok vydání:	2022
Předmět:	Mathematical Methods (MM) Biological Models (BM) Clonogenes Population Survival Rate (SR) Integral Equation (IE) Integral Equation Model (IEM) Linear Quadratic Model (LQM) Tumor Control Probability (TCP) Tumor Control Cumulative Probability (TCCP) Normal Tissue Complication Probability (NTCP) Radiation Photon-Dose (RD) Organ at Risk (OAR) Nonlinear Optimization Integral Approximations Anisotropic Analytic Model (AAA) Radiotherapy Treatment Planning Optimization (TPO)
DOI:	10.5281/zenodo.7157208
Popis:	The complete mathematical biological Integral Equation Model(IEM) for Tumor Control Cumulative Probability (TCCP) development and demonstration is explained. Results for algebraic variables change to obtain a suitable Tumor Control Probability (TCP) in convolution at IEM for getting an analytic solution is detailed step by step.Results comprise estimates with further explanations. Solutions for algebraic variable changes to make the Integral Operator analytically solved are demonstrated. Applications in Radiotherapy Treatment Planning Optimization (TPO) with biological Linear Quadratic Model based on 2D [ α and β biological modelling parameters ] are explained.
Databáze:	OpenAIRE
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