IUBio

MCA nomenclature: control vs response coefficients

Jannie Hofmeyr Jhsh at land.sun.ac.za
Fri May 15 08:19:31 EST 1998


Dear Petr

Pedro Mendes wrote

>> (2) follows Henrik Kacser's spirit of a description that does
>> not require knowledge of mechanism, while (1) does not. It is
>> interesting that so far (2) has not been much used for such
>> systems.
 
with regard to which you asked

> Excuse the outsider again for interrupting the experts, but why
> -wouldn't- we "require the knowledge of mechanism" for any biochemical
> system?  A -molecular- system should never be too complex to be
> described successfully in elementary physico-chemical terms (mass action
> law, diffusion, ...). 

Kacser's point (we called it `Kacser's dream' in our 1993 EJB paper 
[Hofmeyr, Cornish-Bowden, Rohwer (1993) Eur.J.Biochem. 212, 
833-837.]) was that detailed knowledge of individual reaction 
mechanisms should not be needed to understand the control of 
steady-state concentration and flux. He did not mean that knowledge 
of mechanism per se is not required in general or not important. In 
the above paper we stumbled on to a solution to Kacser's dream that 
was subsequently developed into what we now call `co-response 
analysis' (a full treatment is given in Hofmeyr and Cornish-Bowden 
(1996) J. Theor. Biol. 182, 371-380). I say "stumbled onto" because 
we did not originally set out to fulfil Henrik's dream, but rather 
sought to find the relationship between co-response coefficients and 
internal response coefficients.

All that is required to conduct a co-response analysis is (1) the
ability to alter independently the activity of the steps in the
system (2) the ability to measure changes in the steady-state fluxes
and concentrations. Co-response analysis differs from conventional
control analysis in that it does not require knowledge of the
magnitude of the activity changes (conventionally, one would have to
measure the fractional change in the activity and the fractional
change in the steady-state variable in order to calculate a response
coefficient). In other words, no local enzyme measurements need to be 
made in principle and therefore no mechanistic information is 
required. The slopes of log-log plots of steady-state variables 
against each other give the co-response coefficients, and provided 
one has enough of them, one can calculate all the control and 
elasticity coefficients.

Best regards
Jannie

Prof. Jannie Hofmeyr                   Tel:    +27 21 808 3039
Dept. of Biochemistry                  Fax:    +27 21 808 3022
University of Stellenbosch             e-mail: jhsh at maties.sun.ac.za
Stellenbosch 7600
South Africa



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