Some thermodynamic aspects of development and bistability in complex multistage systems
AbstractFollowing our earlier presentations at CSNSS workshops we continue considerations on extremum properties of entropy and its associates in complex systems. In particular, we transform the well-known extremum principle for a thermodynamic potential of a physical system into the extremum principle for an entropy-based complexity in a biological system with variable number of states, thus making it possible to investigate processes of biological development and evolution. The results imply that the increase in the number of states is governed by the gradient of the complexity function based on information-theoretic entropy. Tensor form of the associated dynamics is obtained. For the assumed model of complexity, some developmental processes may progress in a relatively undisturbed manner, whereas other ones may terminate in a rapid way due to inherent instabilities. We show that these features can be predicted when describing complex evolutions in terms of variational principles for shortest paths along with suitable transversality conditions. Reversible modification of states appears as a basic reference frame.
|Journal series||Open Systems & Information Dynamics, ISSN 1230-1612|
|Publication size in sheets||0.85|
|Keywords in English||applications of mathematics, information and communication, circuits, mechanical engineering, statistical physics, systems theory, control|
|ASJC Classification||; ;|
|Publication indicators||: 2017 = 0.868; : 2006 = 1.033 (2) - 2007=0.973 (5)|
|Citation count*||3 (2020-09-18)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.