OPTIMAL TREATMENT PLANNING IN RADIOTHERAPY BASED ON BOLTZMANN TRANSPORT CALCULATIONS

DOI10.1142/S0218202508002784zbMath1143.76058OpenAlexW4250405488MaRDI QIDQ3521623

Matthias Schäfer, Michael Herty, Martin Frank

Publication date: 26 August 2008

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202508002784

zbMATH Keywords

existenceoptimality conditions

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Medical applications (general) (92C50) Variational methods applied to problems in fluid mechanics (76M30)

Related Items (11)

IDENTIFICATION OF TEMPERATURE-DEPENDENT PARAMETERS IN LASER-INTERSTITIAL THERMO THERAPY ⋮ On existence of solutions for Boltzmann continuous slowing down transport equation ⋮ Ion transport in inhomogeneous media based on the bipartition model for primary ions ⋮ Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements ⋮ Boundary Control of Radiative Transfer Equations for Application in Radiotherapy Planning ⋮ ON OPTIMAL TREATMENT PLANNING IN RADIOTHERAPY GOVERNED BY TRANSPORT EQUATIONS ⋮ OPTIMAL RADIOTHERAPY TREATMENT PLANNING GOVERNED BY KINETIC EQUATIONS ⋮ On the derivation of macroscopic hyperbolic equations for binary multicellular growing mixtures ⋮ Optimal radiotherapy treatment planning using minimum entropy models ⋮ Certified reduced-order methods for optimal treatment planning ⋮ Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy

Uses Software

• KELLEY

Cites Work

• Unnamed Item
• Algorithms for bound constrained quadratic programming problems
• Projected gradient methods for linearly constrained problems
• The nature of transport calculations used in radiation oncology
• Optimizing the Delivery of Radiation Therapy to Cancer Patients
• A finite-element model of electron transport in radiation therapy and a related inverse problem
• Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems
• INVERSE RADIOTHERAPY TREATMENT PLANNING MODEL APPLYING BOLTZMANN-TRANSPORT EQUATION
• A HIERARCHY OF APPROXIMATIONS TO THE RADIATIVE HEAT TRANSFER EQUATIONS: MODELLING, ANALYSIS AND SIMULATION

This page was built for publication: OPTIMAL TREATMENT PLANNING IN RADIOTHERAPY BASED ON BOLTZMANN TRANSPORT CALCULATIONS