ON OPTIMAL TREATMENT PLANNING IN RADIOTHERAPY GOVERNED BY TRANSPORT EQUATIONS

DOI10.1142/S0218202511005076zbMath1227.49006MaRDI QIDQ3007774

Michael Herty, Albert N. Sandjo

Publication date: 17 June 2011

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

zbMATH Keywords

optimal controlkinetic equations

Mathematics Subject Classification ID

Medical applications (general) (92C50) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20) Integro-partial differential equations (35R09) Boltzmann equations (35Q20)

Related Items (3)

On Global Existence and Regularity of Solutions for a Transport Problem Related to Charged Particles ⋮ On the mathematical theory of living systems. II: The interplay between mathematics and system biology ⋮ Certified reduced-order methods for optimal treatment planning

Cites Work

• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Optimal control model for radiation therapy inverse planning applying the Boltzmann transport equation
• A Fast and Accurate Moment Method for the Fokker–Planck Equation and Applications to Electron Radiotherapy
• OPTIMAL TREATMENT PLANNING IN RADIOTHERAPY BASED ON BOLTZMANN TRANSPORT CALCULATIONS
• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
• OPTIMAL RADIOTHERAPY TREATMENT PLANNING GOVERNED BY KINETIC EQUATIONS
• Asymptotic and discrete concepts for optimal control in radiative transfer
• On existence of solutions for a system of Boltzmann transport equations
• Application of Accretive Operators Theory to the Radiative Transfer Equations
• 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
• INVERSE RADIOTHERAPY TREATMENT PLANNING MODEL APPLYING BOLTZMANN-TRANSPORT EQUATION
• PREFACE — CHALLENGING MATHEMATICAL PROBLEMS IN CANCER MODELLING
• Optimal control in radiative transfer
• Implicit Monte Carlo diffusion -- an acceleration method for Monte Carlo time-dependent radiative transfer simulations

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