Journal
Scientific and Technical Journal of Information Technologies, Mechanics and Optics
UDK519.8, 62.50
Issue:4 (134)
Download PDF0 Kbyte
Mathematical modeling of an optimal oncotherapy for malignant tumors.
Annotation
The paper presents a mathematical model of the optimal treatment for malignant neoplasms. The neoplasm is considered as a distributed parameter object. The scheme for an optimal oncotherapy using a system of partial differential equations of parabolic type is analyzed. The authors propose a solution to the problem using Bellman optimization and the method of adjustable parameters. The optimal control law of the oncotherapy mode is derived. The main results include a scheme for the formation of the Bellman optimal strategy for regulation of control parameters and dynamic parameters, under which the target conditions are guaranteed over time. The work describes an optimization criterion that reflects the total costs of the control system for the oncological treatment. Simulation results demonstrate the efficiency of the optimal control of treatment process. The results of this work can be used in modern clinical practice at the stage of predictive selection of the most effective treatment strategy.
Keywords
Постоянный URL
Articles in current issue
- On the feasibility of the monostatic scheme for constructing the land-based telescope at supervision of space objects
- DREM procedure application for piecewise constant parameters identification
- Features of the morphology of micro- and nanoporous copper and silver films synthesized by substitution reaction for photocatalytic application.
- Nature-inspired metaheuristic scheduling algorithms in cloud: a systematic review
- Evaluation of the applicability of asynchronous programming methods to the data consistency problem in a microservices environment
- A factor model for detection and recognition of human face contours and elements
- A study of the stability of information and telecommunication networks under conditions of stochastic percolation of nodes
- Context-free path querying with all-path semantics using matrices with sets of intermediate vertices.
- Decision support system for the proton therapy implementation
- Determination of dangerous driving behavior based on the use of information from wearable electronic devices
- An automata-based programming engine
- Bayesian losses for homoscedastic aleatoric uncertainty modeling in pollen image detection
- The speech synthesis detection algorithm based on cepstral coefficients and convolutional neural network
- Risk assessment methodology for information systems, based on the user behavior and IT-security incidents analysis
- Identification of user accounts by image comparison: the pHash-based approach
- A study of human motion in computer vision systems based on a skeletal model
- Solution of super- and hypersonic gas dynamic problems with a model of high-temperature air
- Modeling security violation processes in machine learning systems
- A numerical study of the expansion of a gas-particles mixture with axial symmetry.
- The study of the birefrigence modulator based on lithium niobate