Generalized optimization of processes of drug transport in tumors

DOI10.1007/S10559-020-00296-9zbMath1455.35268OpenAlexW3091149950MaRDI QIDQ2215855

Yanyan Li

Publication date: 14 December 2020

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-020-00296-9

zbMATH Keywords

optimizationcontrollabilitypartial differential equation

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (4)

Riemann integral operator for stationary and non-stationary processes ⋮ Generalizing the infectious disease model taking into account diffusion perturbations, logistic dynamics, and biostimulation ⋮ An analog of the Galerkin method in problems of drug delivery in biological tissues ⋮ Generalization of the antiviral immune response model for complex consideration of diffusion perturbations, body temperature response, and logistic antigen population dynamics

Cites Work

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• On the minmax theory of estimating solutions of abstract parabolic equations
• Differentiability of regularized performance criterion for pulse-point control of pseudo-parabolic systems
• Approximate solution of a problem of the dynamics of a viscous stratified liquid
• Controllability of linear distributed systems in classes of generalized actions
• Numerical solution of pseudoparabolic equations

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