An Analog of the Galerkin Method in Problems of Drug Delivery in Biological Tissues

An Analog of the Galerkin Method in Problems of Drug Delivery in Biological Tissues

The authors propose an analog of the Galerkin method for the initial–boundary-value problem that describes drug delivery in the artery wall using a drug-coated stent. The method of numerical solution of the initial–boundary-value problem is constructed and the theorems on its convergence to the solu...

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Veröffentlicht in:Cybernetics and systems analysis 2021-05, Vol.57 (3), p.354-362
Hauptverfasser: Klyushin, D. A., Lyashko, S. I., Lyashko, N. I., Bondar, O. S., Tymoshenko, A. A.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Artificial Intelligence
Boundary value problems
Control
Coronary heart disease
Drug delivery systems
Drug therapy
Drugs
Galerkin method
Mathematical analysis
Mathematics
Mathematics and Statistics
Methods
Processor Architectures
Software Engineering/Programming and Operating Systems
Stent (Surgery)
Stents
Systems Theory
Tissues
Vehicles
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Zusammenfassung:The authors propose an analog of the Galerkin method for the initial–boundary-value problem that describes drug delivery in the artery wall using a drug-coated stent. The method of numerical solution of the initial–boundary-value problem is constructed and the theorems on its convergence to the solution are proved.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-021-00360-y