title: Optimal Placement of Irradiation Sources in the Planning of Radiotherapy: Mathematical Models and Methods of Solving.
abstract: This paper proposes and analyses a mathematical model for the problem of distribution of a finite number of irradiation sources during radiotherapy in continuous environments to maximize the minimal cumulative effects. A new algorithm based on nondifferentiable optimization techniques has been developed to solve this problem.
authors.affiliation: Institute for Women's Health, University College London, London WC1E 6BT, UK.
authors.forename: Oleg
authors.initials: O
authors.lastname: Blyuss
authors.affiliation: Department of Computational Mathematics and Mathematical Cybernetics, Faculty of Applied Mathematics, Oles Honchar Dnipropetrovsk National University, Dnipropetrovsk 49050, Ukraine ; Department of System Analysis, Faculty of Information Technologies, State Higher Educational Institution "National Mining University", Dnipropetrovsk 49050, Ukraine.
authors.forename: Larysa
authors.initials: L
authors.lastname: Koriashkina
authors.affiliation: Department of Computational Mathematics and Mathematical Cybernetics, Faculty of Applied Mathematics, Oles Honchar Dnipropetrovsk National University, Dnipropetrovsk 49050, Ukraine.
authors.forename: Elena
authors.initials: E
authors.lastname: Kiseleva
authors.affiliation: SE "Dnepropetrovsk Medical Academy of Health Ministry of Ukraine", Dnipropetrovsk 49044, Ukraine.
authors.forename: Robert
authors.initials: R
authors.lastname: Molchanov
mesh_terms: D000465:Algorithms; D019295:Computational Biology; D003198:Computer Simulation; D006801:Humans; D055641:Mathematical Concepts; D008954:Models, Biological; D009369:Neoplasms / Q000532:radiotherapy; D011880:Radiotherapy Planning, Computer-Assisted / Q000379:methods* / Q000706:statistics & numerical data