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Fwd: Re: meanings of model




Date: Wed, 22 Dec 2004 10:03:39 -0800
To: ICB Ionel <***>
From: Howard Pattee <***>
Subject: Re: meanings of model

Ionel:

Thank you for reminding me of your work. I am now aware of biological modelers who are concerned about computability. I also found a paper by Lewis Wolpert, "Development: Is the egg computable or could we generate an angel or a dinosaur?" in What Is Life? The Next Fifty Years, Speculations on the Future of Biology, Murphy and O'Neill, eds., Cambridge UP, 1955. Wolpert questions whether one could compute from the "state" of the egg what the adult organism will be, but gives no clear answer.

What I wonder about is if (or how) formal proofs about Turing-equivalent computability that require infinite sets are related to computational limits based on so-called Computational
Complexity Theory where the concern is with number of steps or length of time to a solution with finite sets that nevertheless can explode exponentially.

Howard
 
At 05:16 AM 12/21/04 -0500, you wrote:
Howard:

I am responding to your 'challenge' referring to the biological modelers'
feels and concerns about the formal aspects of computability. Your message
contained the following statement with which I'd have to disagree on a
factual basis:

>>I am not aware of any biological modelers that feel limited by or are
even concerned about the formal aspects of computability. Other problems
seem more important...

What am I missing? >>

In a 1987, extensive review about biological modeling I did raise such
concerns that you seem to think that don't, or need not, concern biological
modelers. For the Rosen list I am providing here the web addresses for this
published review where it could be found in PDF format:

COMPUTER MODELS AND AUTOMATA THEORY IN BIOLOGY AND MEDICINE:
COMPUTER SIMULATION AND COMPUTABILITY OF BIOLOGICAL SYSTEMS

Mathematical Modelling, Vol. 7, pp. 1513-1577,1986

http://doc.cern.ch//archive/electronic/other/ext/ext-2004-072.pdf
http://cogprints.org/3718/01/COMPUTER_SIMULATIONCOMPUTABILITYBIOSYSTEMSrefne

The references cited in my review (of other authors' work , as well as
Robert  Rosen's) concerning the formal aspects of computability are also
pertinent to your comment cited above. One such forml modeling paper by
Robert Rosen is : "On Analogous Systems." BMB (1968).

Ionel