Nonlinear Concave Spiral Autowaves in Active Media, Transferring Energy, Their Application in Biology and Medicine

Abstract

The paper reviews the works devoted to convex spiral autowaves, which are widely known. Recently a new type of autowaves has been discovered - concave autowaves, they propagate from the periphery of active media to the center and are capable of transfering energy. It is proved that concave spiral autowaves can exist in specific inhomogeneous active media. Their existence is confirmed by computational experiments. It is established that concave autowaves are widespread in nature. The article gives a more detailed review of the biological and medical applications of spiral concave autowaves, it is also known that there are many of them in physics, chemistry, hydrodynamics, meteorology, and space. Concave spiral autowaves, carrying energy, are one of the essential tools of self-organization.

Nonlinear Concave Spiral Waves in Active Media Transferring Energy

“…An effective axiomatic model for the study of autowave processes in distributed active media was proposed in [6,22]. The model was used to study the interaction in the system of many globally related elements of the environment.…”

“…The model was used to study the interaction in the system of many globally related elements of the environment. Model description includes [6,22]: 1). The numerical assignment of shapes of the excitation pulse in excess of a dynamic threshold of excitation; 2) Numerical dynamic threshold task (forms threshold relative refractoriness); and 3).…”

“…This allows a significant number of concave wave applications to be implemented. Let us consider the realizations CSACE when bodies flow around a liquid [19][20][21][22][23][24][25].…”

“…The mathematical model of tornado formation is presented in [19][20][21][22][23][24][25]. The storm cloud in which a tornado forms is a vapor-air mixture saturated with energy.…”

“…Distinguish atmospheric tornadoes. fire, dust, air, snow and other [19][20][21][22][23][24][25]. The different types of tornadoes are illustrated in Fig.…”