Organodynamics

Grant Holland, Apr 25, 2014

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15. When Control of Chaos is Not Enough

 

But there is much more to the stochastic dynamics of complex adaptive systems, such as the biological, than constraints on chaotic behavior.

 

There are conditions under which these systems use chaotic behavior in order to survive.

 

An example of this is adaptation. In evolutionary biology, adaptation is achieved using a combination of diversity, proliferation and natural selection - a process that requires an increase in entropy, rather than a decrease.

 

 16. Chance, Alone?

 

Thus, a complex adaptive dynamical system such as evolutionary biology can be described by as a stochastic process that sometimes increases and sometimes decreases its degree of organizational uncertainty (as measured by entropic functionals) in order to achieve continued adaptation (persistence).

 

The question is, ÒCan this be achieved by chance alone?Ó, and ÒCan it be modeled by probabilistic mathematics alone?Ó

 

17. Chance, Alone

 

I seek to show that that this is indeed true Ð through the development of organodynamics.

 

I believe that I have made good progress toward this development through the application of probability theory, information theory (defined as the study of entropic functionals) and the theory of discrete stochastic processes.

 

 

Notes: