Stochastic dose response

Marc Rendell

Research output: Contribution to journalArticle

Abstract

The dose-response relationship in a pharmacologic system is analyzed using basic concepts of drug-receptor interaction and the theory of stochastic processes. Response is viewed as resulting from additive recruitment of tissue receptor-effector units. A Fokker-Planck (continuity) equation is written relating response to drug dosage in time. The solution to this equation is recalled from a previous paper. An expression relating response at equilibrium to drug dose follows, and easy methods for evaluation of experimental parameters are developed. Another mode of solution of the Fokker-Planck equation using Laplace transforms is presented, and simple equations are derived permitting straightforward evaluation of experimental parameters in transient states. These equations are adapted to "relaxation" type experiments.

Original languageEnglish
Pages (from-to)307-317
Number of pages11
JournalMathematical Biosciences
Volume19
Issue number3-4
DOIs
StatePublished - 1974
Externally publishedYes

Fingerprint

Fokker Planck equation
Dose-response
dose response
Drugs
Drug dosage
Stochastic Processes
Fokker-Planck Equation
Drug Receptors
Receptor
Laplace transforms
Random processes
Drug Interactions
drug
Pharmaceutical Preparations
Transient State
Continuity Equation
drugs
Evaluation
Tissue
Laplace transform

All Science Journal Classification (ASJC) codes

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Stochastic dose response. / Rendell, Marc.

In: Mathematical Biosciences, Vol. 19, No. 3-4, 1974, p. 307-317.

Research output: Contribution to journalArticle

Rendell, Marc. / Stochastic dose response. In: Mathematical Biosciences. 1974 ; Vol. 19, No. 3-4. pp. 307-317.
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