Talk:Biochemical systems theory
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text and equation wrong
[edit]I think this article wrongly depicts S systems. Introductory text: "Biochemical systems theory is a mathematical modelling framework for biochemical systems, based on ordinary differential equations (ODE), in which biochemical processes are represented using power-law expansions in the variables of the system." S systems are not based on a process representation. So the processes are not "represented" by the power-laws, but implicitly contained in the power-laws.
The equation is wrong. This is the equation of mass action law. In S systems there is not a sum of term representing each process independently. There is a substraction of two power law products, one describing the creation of the compound and one describing the removal of the compound. The associated text says:
"The principal difference of power-law models with respect to other ODE models used in biochemical systems is that the kinetic orders can be non-integer numbers."
This is not true because:
1) the main difference is the absence of process description. This is far more important than the kinetic orders.
2) more traditional ODE models also use non-integer orders. Some models even use time-dependent functions as orders! (e.g. models of binding and diffusion)
I am waiting a bit before incorporating corrections. Please discuss Nicolas Le Novère (talk) 15:21, 2 September 2014 (UTC)
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