Optimal control of a two-equation model of radiotherapy
type: Item
instance of: scholarly article
title: Optimal control of a two-equation model of radiotherapy
zbMATH Open document ID: 1407.49072
author: Enrique Fernández-Cara
author: Laurent Prouvée
author: Juan Limaco
published in: Mathematical Control and Related Fields
publication date: 2019-01-24T00:00:00Z
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 92C50
zbMATH DE Number: 7006604
zbMATH Keywords: Fischer-Kolmogorov model
zbMATH Keywords: optimal control
zbMATH Keywords: tumor growth
zbMATH Keywords: radiotherapy
MaRDI profile type: Publication
full work available at URL: mcrf.2018005
OpenAlex ID: W2784437615
cites work: Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics
cites work: A trust region method based on interior point techniques for nonlinear programming.
cites work: An Interior Point Algorithm for Large-Scale Nonlinear Programming
cites work: Optimal control of some simplified models of tumour growth
cites work: Optimal control of mathematical models for the radiotherapy of gliomas: the scalar case
cites work: Q4936365
cites work: Optimal radiation fractionation for low-grade gliomas: insights from a mathematical model
cites work: Perspectives in Flow Control and Optimization
cites work: Q5601627
cites work: Hypoxic cell waves around necrotic cores in glioblastoma: a biomathematical model and its therapeutic implications
cites work: Q5491447
cites work: Delay effects in the response of low-grade gliomas to radiotherapy: a mathematical model and its therapeutical implications
cites work: An interior algorithm for nonlinear optimization that combines line search and trust region steps
DOI: 10.3934/MCRF.2018005
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description: scientific article; zbMATH DE number 7006604