Entropic flow rates in biological growth processes

The authors have developed an entropic approach to analyze the thermodynamic characteristics of biological growth processes governed by the Logistic, Bertalanffy, and Gompertz models (see IEEE Transactions on Biomedical Engineering, vol. BME-40, no. 12, p. 1193, 1993). In this short paper, the entropic flow, rates of the Logistic, Bertalanffy, and Gompertz growth models expressed in terms of the evolution time and the models´ parameters are further discussed, and the critical values for the different patterns of the entropic flow rates are derived. It is interesting to note that the derived critical parameter values are identical to the parameter values at which the corresponding difference systems exhibit large-scale chaotic behavior