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Fwd: Re: meanings of model
- From: Howard Pattee <***>
- Date: Wed, 22 Dec 2004 10:59:01 -0800
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