ABSTRACT
One main conclusion in this chapter is that there is a general relationship between responses and their concentrations presented as the factor-squared rule, which goes beyond a so-called 80-% rule (Sub-chapter 8.1). Other conclusions are that Hill plots are also logit plots and a plot of data employing a ‘logistic’ Hill equation is simply the same as a semi-log plot of data (see also Chapter 10). Furthermore, the chapter will take you through a training session on how to implement an analysis of your own synagic data by an example (Subchapter 8.2). Sub-chapter 8.3 recounts out-dated plots.
Many biological phenomena as well as chemical and physical responses are based on self-referring systems that may exhaust themselves or have limiting maxima. Such systems can often be described by logarithmic build-up or decay (Jacquez 1972, 1985), deterministic chaos (Peitgen et al. 1992), or self-organized criticality (Bak 1997). This also means that the outcome of a change in an independent variable in these systems is dependent on the immediate preceding events due to an earlier change of the very same independent variable. Several such systems have dependent variables, i.e., responses, which saturate asymptotically to a plateau with increasing concentration, with running time, or with other evolving independent variables. The dose-response relation of load is also a sort of self-referential system due to its limited number of receptive units (see Sections 1.1.2 and 1.1.8).
