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 language | English (US) |
|---|---|
| Pages (from-to) | 307-317 |
| Number of pages | 11 |
| Journal | Mathematical Biosciences |
| Volume | 19 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 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