Example: Four Species

The following four species system of chemical reactions

is discussed in Resat et als [1] where an analytical solution is given. It can be shown that if the initial species numbers at t=0 are

then the species numbers at steady state can be analytically determined to be

The interested reader may like to try to create a multistate version for this example and compare with a non-multi state version. To get started create two complexes A and BCD with the later complex a multistate complex with three states: BCD(100)=B, BCD(010)=C and BCD(001)=D.

[1] Resat, H., Wiley, H.S. and D.A. Dixon (2001), Probability-Weighted Dynamic Monte Carlo Method for Reaction Kinetic Simulations, J. Phys. Chem. B, 105(44):11026-11034.