Order Reduction of the Chemical Master Equation via Balanced Realisation
Figure 2
Output comparison of the full CME and the reduced order model.
The upper panels depict of the probability of having all the molecules of converted to
by means of the reversible reaction (25). The discontinuous line represents this probability as obtained with the full model and the continuous lines, those obtained with the reduced order model via balanced realisation. In turn, the lower panels show the difference of full model output and that of the reduced order model. The order of the lower-dimensional model for columns A, B, C, and D are
,
,
, and
states, respectively. The parameters used for simulations are as in Figure 1.