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It should be possible to create a new model via a coordinate transformation of an existing model.
Currently, this is only possible for the particular transformation: <reactant> = <system size> - <reactants>, which reduces the number of reactants in the system by 1.
However, one should be able to scale reactants by a parameter value: <reactant> = <reactant>/<parameter>. This would be useful, for example, when taking the limit of the system size N to infinity. One could then scale the reactants by N to obtain the ODEs that describe how the fraction of each reactant change with time. Currently, this can be achieved by setting $N=1$ and reinterpreting the reactants as fractions of reactants.
Similarly, it would be advantageous if one could scale time in a model by a parameter value. This is common when reducing the number of parameters in a system of ODEs. Currently this can be achieved by setting the scaling parameter to 1 and reinterpreting the other parameters as <parameter>/<scaling parameter>
The text was updated successfully, but these errors were encountered:
It should be possible to create a new model via a coordinate transformation of an existing model.
Currently, this is only possible for the particular transformation:
<reactant> = <system size> - <reactants>
, which reduces the number of reactants in the system by 1.However, one should be able to scale reactants by a parameter value:$N=1$ and reinterpreting the reactants as fractions of reactants.
<reactant> = <reactant>/<parameter>
. This would be useful, for example, when taking the limit of the system sizeN
to infinity. One could then scale the reactants byN
to obtain the ODEs that describe how the fraction of each reactant change with time. Currently, this can be achieved by settingSimilarly, it would be advantageous if one could scale time in a model by a parameter value. This is common when reducing the number of parameters in a system of ODEs. Currently this can be achieved by setting the scaling parameter to 1 and reinterpreting the other parameters as
<parameter>/<scaling parameter>
The text was updated successfully, but these errors were encountered: