Fig 58.3.

Simplified version of the Sigmoid Schema Reaction hierarchy. (a) There may exist one to many relations between a particular biological reaction and potential functions (Mathematical Reactions) that may be assigned to model the kinetics of the interaction. For instance, numerous mathematical functions can be assigned to model a catalytic process. (b) In reverse, the functional application of a particular set of differential equations may be conserved over a variety of biological phenomena, so there also may be one to many associations between a particular mathematical function (Reaction) and the biological scenarios it may be applied to. For instance, a hill equation may provide useful in modeling a catalytic reaction, transcriptional regulation, or even a transport process