Kinetics of interactions between drugs and receptors: stochastic conception

G. P. Klimov, G. R. Marshall

Research output: Contribution to journalArticlepeer-review

Abstract

The formation and decomposition of drug-receptor complexes are described by a random birth and death process. This concept makes the deterministic model precise and allows, in particular, consideration of the probability of the biological effect. For the analysis of the process, a new technique that accelerates convergence of the Monte-Carlo method for processes with a high rate of change, and a technique of determination of association constants using observation of evolution of concentrations are described. The similarity between deterministic and stochastic models is discussed.

Original languageEnglish
Pages (from-to)1-25
Number of pages25
JournalComputers and Mathematics with Applications
Volume26
Issue number10
DOIs
StatePublished - Nov 1993

Keywords

  • Langmuir equation
  • Ligand
  • Markov process
  • Monte-Carlo method
  • Receptor
  • Regenerative process

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