Derivation of the Weber-Fechner law and the loewenstein equation as the steady-state response of an elovich solid state biological system
✍ Scribed by Freeman W. Cope
- Publisher
- Springer
- Year
- 1976
- Tongue
- English
- Weight
- 413 KB
- Volume
- 38
- Category
- Article
- ISSN
- 1522-9602
No coin nor oath required. For personal study only.
✦ Synopsis
The Wcber-Fechner law (response of an organism is a linear function of log of stimulus) has been widely used for description of physiological and psychological data for many years. It is shown here that the Weber-Fectmer law is derivable in a simple way from the Elovich equation (-dx/dt ~ m exp(nx), which is observed experimentally in numerous physiological and biochemical systems, and which has a simple derivation from solid state charge transport across interfaces in these systems. It therefore seems reasonable to interpret data conforming to the Webner-Feehner law to imply that the observed phenomenon is rate-limited by interfacial charge transport in the cell. By a similar analysis, the Loewenstein equation, which may be considered an exact form of the Weber-Fechner law applicable to data over a wider range of values of the variables, is derived from a more exact form of the Elovich equation.