INVERSE RADIOTHERAPY TREATMENT PLANNING MODEL APPLYING BOLTZMANN-TRANSPORT EQUATION

DOI10.1142/S021820250200157XzbMath1016.92017OpenAlexW2082359549MaRDI QIDQ4798935

P. Kolmonen, Jouko Tervo

Publication date: 16 March 2003

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

Full work available at URL: https://doi.org/10.1142/s021820250200157x

zbMATH Keywords

global optimizationradiotherapymultileaf collimatorBoltzmann-transport equation

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Applications of optimal control and differential games (49N90) Medical applications (general) (92C50) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (13)

Optimal placement of irradiation sources in the planning of radiotherapy: mathematical models and methods of solving ⋮ On coupled Boltzmann transport equation related to radiation therapy ⋮ The leaf sweep algorithm for an immobile and moving target as an optimal control problem in radiotherapy delivery ⋮ The modelling of the immune competition by generalized kinetic (Boltzmann) models: Review and research perspectives ⋮ OPTIMAL TREATMENT PLANNING IN RADIOTHERAPY BASED ON BOLTZMANN TRANSPORT CALCULATIONS ⋮ 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 ⋮ Optimal control model for radiation therapy inverse planning applying the Boltzmann transport equation ⋮ Certified reduced-order methods for optimal treatment planning ⋮ A Perfectly Matched Layer Approach for $P_N$-Approximations in Radiative Transfer ⋮ Haar wavelet-based technique for sharp jumps classification ⋮ Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy

Uses Software

• Global Optimization Toolbox For Maple

Cites Work

• Data fitting model for the kernel of integral operator from radiation therapy.
• Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithm—Corrigenda for this article is available here
• The Transversely Integrated Scalar Flux of a Narrowly Focused Particle Beam
• A model for the control of a multileaf collimator in radiation therapy treatment planning
• Optimizing the Delivery of Radiation Therapy to Cancer Patients
• A finite-element model of electron transport in radiation therapy and a related inverse problem
• A POSTERIORI ERROR ESTIMATES FOR THE FOKKER–PLANCK AND FERMI PENCIL BEAM EQUATIONS

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