The State Trajectory of Cell Using Rényi Entropy Coefficients

Elementary model of intracellular (or intra-organellar) pattern formation: Belousov – Zhabotinsky reaction in a Petri dish. The Belousov – Zhabotinsky reaction (Belousov 1958) was devised as a primitive model of citric acid cycle. To the surprise of the authors, it brought about the phenomenon of chemical clock (in mixed systems) or spontaneous pattern formation (in still compartments). We use it as primitive model for testing of our analysis of experiment for the purpose of determination of macroscopic state space. The distinct feature of the BZ reaction is that although it in fact consists of 80 chemical reactions (György et al. 1990), relatively simple patterns arise and may be modeled by approaches such as cellular automata (numerous demonstrations may be found on the web), ODEs etc.. We decided to search the phase space on the basis of the experiment. Fortunately, the distribution of point numbers between color channels is rather distinct and gives chance to map the state space.