A study on the application of Chaos in Medical Engineering

Chaos theory is a complex mathematical theory that seeks to explain the influence of seemingly insignificant factors and is used to explain chaotic or random events. Chaos theory is often applied to financial markets as well as other complex systems such as weather forecasting. Chaotic or disordered systems are predictable for a while and then take on a random form. In recent years, chaos theory has been proposed as a powerful method to investigate complex nonlinear systems and has opened new horizons in understanding the behavior of various systems in engineering and medical sciences. The main foundation of chaos theory is the idea that order and chaos are not always opposites. Chaotic systems are a fascinating combination of order and chaos. When we look at them from the outside, they behave unpredictably and show disorder, but inside these systems we see a set of deterministic equations that work with order. Chaos is a name that is often applied to a non-linear dynamic. This expression is used to explain the complex behavior of so-called simple, linear and well-behaved systems. Chaotic behavior appears irregular and often random, similar to the behavior of a system strongly affected by random external noise. The mathematical definition of chaos is the unpredictable long-term behavior of a deterministic dynamical system due to sensitivity to initial conditions (commonly known as the butterfly effect). Chaos theory is defined as the qualitative study of unstable periodic behavior in deterministic nonlinear dynamical systems. The key axis of chaos theory is order hidden in disorder. Chaos theory has been widely used in the field of critical signal processing and valid results have been presented in this field. Chaos theory studies systems that at first glance seem to have random behavior; But in fact, this system is governed by specific laws, or in other words, there is order in every disorder. Such a system is very sensitive to the initial conditions, so that apparently insignificant and arbitrary inputs are able to have tremendous effects on the system. In the above theory, the system becomes sick and ill like a living organism; Therefore, to improve it, it must be changed. The theory of complex systems and chaos is the basis and paradigm of other theories that have influenced the medical field as well as other scientific fields. In the conditions of chaos and disorder, systems constantly fluctuate between different attractions (dynamic balance) and sometimes a small change causes extensive and radical changes in the system.

کلیدواژه ها:

Chaos ، Medical Engineering ، Nonlinear systems ، Order