Several attempts of modeling the phenomenon of tachyphylaxis have been presented in the literature, mostly with limited success.
Pharmacokinetic models with control feedback have made partial improvements to simply verbal description of the system’s operation but, have not lead to quantitative characterization of the observable data. Examples of synthetic
modeling, those models which are constructed to emulate some principle features of tachyphylaxis, are found in the Journal of Theoretical Biology (4).
Specifically, the synthetic modeling (4) invokes numerous assumptions which are collected through-out the biological literature. Such as homeostasis, “learning” processes, selected “slow” and “fast” dynamic components, “reference values”, are liberally employed so that the superficial analogies with the “data” were achieved.
In search of the simplest and sufficient natural model (Ockam’s Razor) we turned our attention to the experimental description of tachyphylaxis. Our
observation was guided by the data obtained from stimulation of isolated
tissue (toad bladder) by adenosine cyclic monophosphate (cAMP) in a long term
maintained level (1).