Modeling the action of drugs on cellular enzymes by means of optimal control techniques

DOI10.1007/s10910-010-9775-2zbMath1217.34077OpenAlexW2053964433MaRDI QIDQ551833

Alberto Maria Bersani, Loretta Mastroeni, Enrico Bersani

Publication date: 21 July 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-010-9775-2

zbMATH Keywords

Hamilton-Jacobi equationsviscosity solutionsMichaelis-Menten kineticsdrug discoveryintracellular signal transduction

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Systems biology, networks (92C42)

Related Items (3)

New trends and perspectives in nonlinear intracellular dynamics: one century from Michaelis-Menten paper ⋮ Application of optimal control techniques and advanced computing to the study of enzyme kinetics ⋮ Optimal control study on Michaelis-Menten kinetics -- a fractional version

Cites Work

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• The total quasi-steady-state approximation for fully competitive enzyme reactions
• The Quasi-Steady-State Assumption: A Case Study in Perturbation
• Optimal control of self-organized dynamics in cellular signal transduction
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• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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