Back to Search
Start Over
Intensity-Modulated Radiation Therapy Optimization for Acceptable and Remaining-One Unacceptable Dose-Volume and Mean-Dose Constraint Planning.
- Source :
-
Computational and mathematical methods in medicine [Comput Math Methods Med] 2020 Sep 03; Vol. 2020, pp. 3096067. Date of Electronic Publication: 2020 Sep 03 (Print Publication: 2020). - Publication Year :
- 2020
-
Abstract
- We give a novel approach for obtaining an intensity-modulated radiation therapy (IMRT) optimization solution based on the idea of continuous dynamical methods. The proposed method, which is an iterative algorithm derived from the discretization of a continuous-time dynamical system, can handle not only dose-volume but also mean-dose constraints directly in IMRT treatment planning. A theoretical proof for the convergence to an equilibrium corresponding to the desired IMRT planning is given by using the Lyapunov stability theorem. By introducing the concept of "acceptable," which means the existence of a nonempty set of beam weights satisfying the given dose-volume and mean-dose constraints, and by using the proposed method for an acceptable IMRT planning, one can resolve the issue that the objective and evaluation are different in the conventional planning process. Moreover, in the case where the target planning is totally unacceptable and partly acceptable except for one group of dose constraints, we give a procedure that enables us to obtain a nearly optimal solution close to the desired solution for unacceptable planning. The performance of the proposed approach for an acceptable or unacceptable planning is confirmed through numerical experiments simulating a clinical setup.<br />Competing Interests: The authors declare no conflicts of interest regarding the publication of this paper.<br /> (Copyright © 2020 Ryosei Nakada et al.)
- Subjects :
- Algorithms
Computational Biology
Head and Neck Neoplasms pathology
Head and Neck Neoplasms radiotherapy
Humans
Mathematical Concepts
Neoplasms pathology
Phantoms, Imaging
Radiotherapy Dosage
Radiotherapy Planning, Computer-Assisted statistics & numerical data
Radiotherapy, Intensity-Modulated statistics & numerical data
Neoplasms radiotherapy
Radiotherapy Planning, Computer-Assisted methods
Radiotherapy, Intensity-Modulated methods
Subjects
Details
- Language :
- English
- ISSN :
- 1748-6718
- Volume :
- 2020
- Database :
- MEDLINE
- Journal :
- Computational and mathematical methods in medicine
- Publication Type :
- Academic Journal
- Accession number :
- 32963584
- Full Text :
- https://doi.org/10.1155/2020/3096067