Field-Koros-Noyes Model of BZ Reaction

Citation
R.J.Field and R.M.Noyes,J.Chem.Phys.60,1877 (1974) ; R.J.Field,E.Koros,R.M.Noyes,JACS 94,8649 (1972);R.J.Field, R.M.Noyes,Nature 237,390 (1972) This implementation is taken from J.D. Murray, "Mathematical Biology" (1989) page 181.
Description
Field Noyes Version of Belousov- Zhabotinsky Reaction. BrO3 is held constant; HOBr is typically ignored, and can be replaced by an empty- set. The stoichiometry f is typically taken as 1/ 2 or 1 (denominator 1 or 2 in SBML) . In reaction5 it may be necessary to manually replace the denominator= "1/(f)" with denominator="2" or denominator= "1" to get f=1/2 or 1, respectively, because in standard SBML these should be integers and not variables. Some simulators may allow variable denominators, however.
Rate constant       Reaction
k1 = 1.3 Br + BrO3 -> HBrO2 + HOBr
k2 = 2000000 Br + HBrO2 -> HOBr^2
k3 = 34 BrO3 + HBrO2 -> Ce^2 + HBrO2^2
k4 = 3000 HBrO2^2 -> BrO3 + HOBr
k5 = 0.02 Ce -> Br^f
Variable IC   ODE
Br 0.003 Br'[t] == -(k1*Br[t]*BrO3[t]) + f*k5*Ce[t] -  k2*Br[t]*HBrO2[t]
Ce 0.05 Ce'[t] == -(k5*Ce[t]) + 2*k3*BrO3[t]*HBrO2[t]
HBrO2 0.001 HBrO2'[t] == k1*Br[t]*BrO3[t] - k2*Br[t]*HBrO2[t] +  k3*BrO3[t]*HBrO2[t] - k4*HBrO2[t]^2
HOBr 0 HOBr'[t] == k1*Br[t]*BrO3[t] + 2*k2*Br[t]*HBrO2[t]  + k4*HBrO2[t]^2

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