Laws of evolution

Knyazeva, E. N. and Kurdyumov, S. P., Laws of Evolution and Self-organization for Complex Systems, Nauka, Moscow, 1994 [in Russian],... 

To simulate the natural laws of evolution, GA are based on a population of numerical chromosomes, which contain the key variables of the problem and thus represent potential solutions. For a docking experiment, each chromosome should code for a possible orientation of one partner versus another. In our GA code (FORTRAN 90), we retained the solution generally applied to rigid-body complementarity studies. 

Huxley, T.H., On the application of the laws of evolution to the arrangement of the vertebrata, and more particularly of the Mammalia, Proc. Zool. Soc. London, 43, 649-662, 1880. 

The total transfonnation of an initial solid A into a new solid B involves the two processes of nucleation and growth. It is thus advisable to estabUsh laws of evolution that consider the two processes. We will examine the most frequent case, when the nuclei are formed on the surface of the initial soUd. We will see in Appendix 9 the case with nucleation in the bulk. 

Laws of Evolutions in the One-Process Models with Instantaneous Nucleation and Anisotropic Growth... 

One will find in Tables A.3.1 to A.3.5, the laws of evolution of a grain or a powder in the one-process modes, with instantaneous nucleation and anisotropic growth for the various types of samples with inward and ontward developments and with the following as rate-determining step ... 

In summaiy, the mathematical formulation of a mechanism will provide us with the means to find the quantitative laws of evolution (extent-time, speed-time and speed-extent) as well as the influence of concentrations on speeds. The influence of temperature will only show up by making Arrhenius law explicit on the different rate coefficients. 

---