Authors: Stanislaw Sieniutycz
Evolution of animals with multiple organs or limbs is considered. We report computer-aided modeling and simulation of evolution in biological systems with living organisms as the effect of extremum properties of classical statistical entropy of Gibbs-Boltzmann type or its associates, e.g. Tsallis q-entropy. A variational problem searches for the maximum entropy subject to the geometric constraint of constant thermodynamic distance in a non-Euclidean space of independent probabilities pi, plus possibly other constraints. Tensor form of dynamics is obtained. Some processes may terminate rapidly due to instabilities. A gradient dynamics can be predicted from variational principles for shortest paths and suitable transversality conditions.