IUBio

Logarithmic definitions of control coefficients

Herbert M Sauro HSauro at fssc.demon.co.uk
Sat Jan 18 10:47:20 EST 1997


In article <32da0e0d.8354727 at news.sun.ac.za>, Jannie Hofmeyr
<jhsh at maties.sun.ac.za> writes
>On 6 Jan 1997 02:48:10 -0800, athel at IR2CBM.CNRS-MRS.FR (Athel) wrote:
>
>I recently made an informal poll of several colleagues about whether
>they preferred to write control coefficients and elasticities in the
>logarithmic form, i.e.   ...........etc
>
etc
>So, to answer Benno's question of 'Which is the biologically more
>correct expression?'  my answer is `the logarithmic form'.
>
>Jannie Hofmeyr
>

Note also that the log form implies logarithmic differentiation and in
fact this form of differerntiation preserves the biological meaning of
the original rate equations in contrast to normal differentiation which
obscures the original meaning. eg take enzyme rate equation, vm/km(s1-
s2/keq)/(1+etc). The numerator describes mass action effects whereas the
denominator describes enzyme saturation effects, using log
differentiation preserves this distinction in the final elasticites as a
difference between the two (See Woods et al CABIOS in press).

Herbert
-- 
Herbert M Sauro
email:     HSauro at fssc.demon.co.uk
Telephone: 01974 282428
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