Stochastic dose response

Marc Rendell

Research output: Contribution to journalArticlepeer-review


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 (US)
Pages (from-to)307-317
Number of pages11
JournalMathematical Biosciences
Issue number3-4
StatePublished - Apr 1974

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics


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