Equations of simple kinetic models with Gaussian distributions in reaction constants

The equations of some simple compartmental models obtained when the characteristic functional parameters are supposed to have a Gaussian distribution have been derived in the present paper. It is verified that for some of the studied models the curves that correspond to the equations of the system considering the functional parameters with a Gaussian distribution are different from those with constant parameters equal to the mean of the distribution. The alterations which can result from these distributions in some practical situations are discussed.