Optimal Placement of Irradiation Sources in the Planning of Radiotherapy: Mathematical Models and Methods of Solving

Oleg Blyuss; Larysa Koriashkina; Elena Kiseleva; Robert Molchanov

doi:10.1155/2015/142987

Optimal Placement of Irradiation Sources in the Planning of Radiotherapy: Mathematical Models and Methods of Solving

Oleg Blyuss, Larysa Koriashkina, Elena Kiseleva, Robert Molchanov

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	142987
Journal	Computational and mathematical methods in medicine
Volume	2015
DOIs	https://doi.org/10.1155/2015/142987
Publication status	Published - 2015

Keywords

Algorithms
Computational Biology
Computer Simulation
Humans
Mathematical Concepts
Models, Biological
Neoplasms/radiotherapy
Radiotherapy Planning, Computer-Assisted/methods

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10.1155/2015/142987

https://discovery.ucl.ac.uk/id/eprint/1472545/

Cite this

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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. ",

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AU - Koriashkina, Larysa

AU - Kiseleva, Elena

AU - Molchanov, Robert

PY - 2015

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AB - 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.

KW - Algorithms

KW - Computational Biology

KW - Computer Simulation

KW - Humans

KW - Mathematical Concepts

KW - Models, Biological

KW - Neoplasms/radiotherapy

KW - Radiotherapy Planning, Computer-Assisted/methods

U2 - 10.1155/2015/142987

DO - 10.1155/2015/142987

M3 - Article

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SN - 1748-670X

VL - 2015

SP - 142987

JO - Computational and mathematical methods in medicine

JF - Computational and mathematical methods in medicine

ER -

Optimal Placement of Irradiation Sources in the Planning of Radiotherapy: Mathematical Models and Methods of Solving

Abstract

Keywords

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