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An Inverse Problem Solution Scheme for Solving the Optimization Problem of Drug-Controlled Release from Multilaminated Devices
Author
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The optimization problem of drug release based on the multilaminated drug-controlled release devices has been solved in this paper under the inverse problem solution scheme.
From the viewpoint of inverse problem, the solution of optimization problem can be regarded as the solution problem of a Fredholm integral equation of first kind.
The solution of the Fredholm integral equation of first kind is a well-known ill-posed problem.
In order to solve the severe ill-posedness, a modified regularization method is presented based on the Tikhonov regularization method and the truncated singular value decomposition method.
The convergence analysis of the modified regularization method is also given.
The optimization results of the initial drug concentration distribution obtained by the modified regularization method demonstrate that the inverse problem solution scheme proposed in this paper has the advantages of the numerical accuracy and antinoise property.
American Psychological Association (APA)
Zhang, Xin-Ming. 2020. An Inverse Problem Solution Scheme for Solving the Optimization Problem of Drug-Controlled Release from Multilaminated Devices. Computational and Mathematical Methods in Medicine،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139614
Modern Language Association (MLA)
Zhang, Xin-Ming. An Inverse Problem Solution Scheme for Solving the Optimization Problem of Drug-Controlled Release from Multilaminated Devices. Computational and Mathematical Methods in Medicine No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1139614
American Medical Association (AMA)
Zhang, Xin-Ming. An Inverse Problem Solution Scheme for Solving the Optimization Problem of Drug-Controlled Release from Multilaminated Devices. Computational and Mathematical Methods in Medicine. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139614
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139614