"Radiotherapy Linear Quadratic Bio Model 3D Wedge Filter Dose Simulations for AAA Photon-Model [18 Mev, Z=5,15 cm] with Mathematical Method System"
Francisco Casesnoves
Abstract
Continuing with Anisotropic Analytic Model (AAA) for Wedge Filters (WF) photon-dose delivery series, this contribution moves ahead with implementation of those AAA studies of WF formulation/simulations into Biological Models-significantly developed by other authors in the literature.Results comprise the WF dose delivery 3D simulations for approximate tumor clonogenes population survival rate.Solutions of previous 3D photon-dose delivery numerical/imaging simulations for AAA model 18 Mev photon-beam, depth-doses [ z=5,15 cm], habitually breast tumors depth-dose magnitudes, and 15° WF are set into fundamental Linear Quadratic Bio model equation.Developments of Linear Quadratic Bio models are mathematically/statistically presented-focused on methodology and imaging software, accuracy is not the main objective at this stage.Results for 2D variation of parameter [α] related to N0 values are proven.A new statistical/probabilistic modification for the Linear Quadratic Bio model for software adjustment is presented.Software and programming methods for BM were achieved.Results of 3D Graphical Software for this Bio model implementations are shown.Findings involve the mathematical-computational method explanations to work up and implement a photon-dose model into a final survival-rate biological one.Applications on Clinical Radiotherapy Physics and Radiation Oncology for breast cancer treatment are described in brief.