Re: mechanics vs. info

Dear Igor:

In my post, I was referring to nonlinear dynamics of biochemical
"graphs" which sustain living systems in a rather backhanded fashion. I
suspect your post refers to more traditional analysis. For leading
references, you may wish to look at the works of Rene Thom and Robert
Rosen, as well as others using category or graph theory.

Cheers

jerry

Igor Rojdestvenski wrote:
>
> Dear Pedro and Jerry:
>
> >>.... Jerry's puzzlement about "chemicalities" is easy to
> solve: I was lumping in
> >> a short parenthetical expression the Three Mechanics with
> several branches
> >> of chemistry and implicitly also with thermodynamics. The
> relationship
> >> between thermodynamics and statistical mechanics is
> rather lawful, but it
> >> has too many subtilities (eg, time irreversibility!) so I
> dropped any
> >> mention of it.
> >>
> >
> >Do you wish to imply that chemical and biochemical systems
> are
> >expressible in the same form of mathematics which are used
> in mechanics?
>
> Why not? In my opinion, a very important distinction has to be made -- that
> between the reality and the model of reality. As we think mostly in terms of
> models, we tend to mix these two entities. A reality, as such, cannot be
> expressed in any mathematics but through models. If we talk here about
> similarities at the level of models, they obviously exist. A trivial example
> may be oscillations of concentrations in model chemical systems and
> mathematical pendulum. There are numerous other examples of using same
> mathematics in models in classical mechanics and models in bioscience.
> Summing up, the similarity at the level of models is obvious, and, in my
> view, we cannot even consistently define any other mathematical similarity
> at the level of reality clear enough to discuss it.
>
> >If so, would this imply that Shannon information would be
> readily
> >applicable to biochemical systems?
>
> Surely we can pick up models in which this is so. One example may be found
> at my recent exercise in that direction at
> http://www.plantphys.umu.se/~igor/research/mapping/mapping.shtml
> A reality as such is covered not by a single model, but a continuum of
> models. Language of Reality is polymorphic. Language of mathematics is
> mostly rigid, therefore a continuum in mapping comes about.
>
> >Not to mention the whole question of genetics...
> Same...
> >Nor the role of history in selecting the dynamics of the
> mechanics...
>
> Non-Markovian processes with memory?
> >
> >Cheers
> >
> >jerry
> >
>
> Igor
Received on Mon Mar 01 10:29:40 1999