. Author manuscript; available in PMC: 2019 Feb 25.

Published in final edited form as: Bull Math Biol. 2005 Jan 19;67(5):901–946. doi: 10.1016/j.bulm.2004.09.009

Table 2.

Mean and variance for a 2-component feedback network with either conversion or catalytic reactions

Species	Mean_conversion	Mean_catalytic	Vanance_cataiytic
$M_{1}$	$\frac{p t k_{1}^{S} (k_{12}^{c o n} + k_{2}^{d})}{(k_{12}^{c o n} + k_{2}^{d}) (k_{21}^{c o n} + k_{1}^{d}) - k_{21}^{c o n} k_{12}^{c o n}}$	$\frac{p t k_{1}^{S} k_{2}^{d}}{k_{1}^{d} k_{2}^{d} - k_{21}^{c a t} k_{12}^{c a t}}$	$\frac{p t k_{1}^{d} k_{2}^{d} (k_{1}^{d} + k_{2}^{d}) - k_{21}^{c a t} k_{12}^{c a t} (k_{1}^{d} - k_{12}^{c a t})}{(k_{1}^{d} k_{2}^{d} - k_{21}^{c a t} k_{12}^{c a t}) (k_{1}^{d} + k_{2}^{d})} \times M_{1}$
$M_{2}$	$\frac{p t k_{1}^{S} k_{21}^{c o n}}{(k_{12}^{c o n} + k_{2}^{d}) (k_{21}^{c o n} + k_{1}^{d}) - k_{21}^{c o n} k_{12}^{c o n}}$	$\frac{p t k_{1}^{S} k_{21}^{c a t}}{k_{1}^{d} k_{2}^{d} - k_{21}^{c a t} k_{12}^{c a t}}$	$\frac{p t k_{1}^{d} k_{2}^{d} (k_{1}^{d} + k_{2}^{d}) + k_{21}^{c a t} k_{2}^{d} (k_{1}^{d} - k_{12}^{c a t})}{(k_{1}^{d} k_{2}^{d} - k_{21}^{c a t} k_{12}^{c a t}) (k_{1}^{d} + k_{2}^{d})} \times M_{2}$