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I have biomedical data for analysis and I am using Genetic Algorithm for parameter estimation for the model of the data. As I read about the system identification, I saw terms like dynamical system. I read further and I am still confused whether the electrical impedance readings of a muscle tissue is considered a dynamical system or not.

Is it a nonlinear system? how can I tell? is there a direct rule on whether a biological tissue is a nonlinear system or not?

Thanks in advance

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  • $\begingroup$ Better on the biology stack... $\endgroup$ – Solar Mike Mar 18 at 13:41
  • $\begingroup$ This isn't inappropriate here as a subject. $\endgroup$ – morbo Mar 19 at 23:11
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Generally speaking, any mathematical model that is time dependent will be considered a 'dynamic' system, some engineering descriptions will say dynamic systems are described as systems having the ability to store and release energy.

From Wiki

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each springtime in a lake.

As far as nonlinear things go. Most real world systems are nonlinear. However, it's difficult to say immediately whether something is, before one goes on to model it.

But to give an example from the modelling of a tentacle:

enter image description here

Biological real world systems get complicated fast, and end up being inherently, nonlinear.

However we often linearize such systems around a operating point (Taylor Series for example) once we have a clear understanding of what it may be. Will will drastically reduce your problem with a given amount of (hopefully) small error.

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