Linear Abstraction

Linear abstraction of non-linear functions published in Grosu et al 2011 transforms these non-liner functions into piece-wise multi-affine functions in meaning of ramp functions. By non-linear functions they are meant Hill equations, Michaelis-Menten kinetics, Heaviside step functions and sigmoidal switches also published in Grosu et al 2011. These functions needs a closer look:

###Hill equation It is written in form of HILL which is described in more detail in section input model.

###Michaelis-Menten kinetics It is written same as Hill equation but coefficient e must be equal to 1. For more detailes see section input model

###Heaviside step function It is written in form of STEP which is described in more detail in section input model.

###Sigmoidal switch It is written in form of SIGM which is described in more detail in section input model.