Organodynamics

Grant Holland, Apr 25, 2014

Slide: Autocoorganization

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Beyond limited stationary processes, what other properties do we need to mimic from living systems in organodynamics in order to provide a modeling paradigm for our target class of complex systems?

 

Regulation:  The ability to continue the same behavior for some limited time. ÒAffinity dynamicsÓ.

 

Diversification: The ability to behave differently than any particular specific behavior over time, while still permitting variations in behavior. ÒAversion dynamicsÓ.

 

Proliferation: The concurrent or simultaneous instantiations of both regulation and diversification in a large number of occurrences over time.

 

Attrition: The cessation or termination of a process within an ODSP.

 

Adaptation: A change in behavior or constitution of an ODSP that persists for some period of time.

Approach to representation of autocoorganization using probability and information theoriesÉ

 

How can we define these properties in terms of probability and information theories?

 

Regulation:  conditional distributions, dependent stochastic processes, Markov processes, reduced mutual information and entropy rates.

 

Diversification: conditional distributions, dependent stochastic processes, Markov processes, elevated mutual information and entropy rates.

 

Proliferation: laws of large numbers, conditional distributions, dependent stochastic processes, Markov processes, mutual information and entropy rates.

 

Attrition:  Pr(F) = 1.

 

Adaptation: Reduced mutual information and elevated entropy rates.

 

Do these have correlates in other disciplines?

 

Regulation:  Negative feedback (cybernetics), Homeostasis (biological metabolism), Transcription factors (protein synthesis)

 

Diversification: Positive feedback (cybernetics), Transcription factors (protein synthesis)

 

Proliferation: Diversification and differentiation (evolutionary biology, immunology), Transcription factors (protein synthesis)

 

Attrition: Natural selection (evolutionary biology)

 

Adaptation: Adaptation (evolutionary biology, immunology), Transcription factors (protein synthesis)

 

Autocoorganization is presently a work in progress.

 

At this point, it is best described as an approach to and architecture for the self-creation, self-organization and self-management of organic complex systems using the mathematics of organodynamics Ð specifically probability and information theories.

 

Notes: