Table 1.

Generalised Michaelis-Menten constants for the example in Figure 1e. The entries in the first three rows are the ${\mu }_{x,y}^T\in ℝ(\text{Con})$ defined in Proposition 1 for x = j, k, m and y = u, v, w, p. The last row gives the denominator term D appearing in the entries for Y_j and Y_k. Note the S-positivity of all entries.

	Su	Sv	Sw	Sp
Yj	$\frac{a_{u,j}^T(b_{v,k}^T+c_{k,j}^T)}{D}$	$\frac{a_{v,k}^T{c}_{k,j}^T}{D}$	$\frac{a_{w,j}^T(b_{v,k}^T+c_{k,j}^T)}{D}$	0
Yk	$\frac{a_{u,j}^T{c}_{j,k}^T}{D}$	$\frac{a_{v,k}^T(b_{u,j}^T+b_{w,j}^T+c_{j,k}^T)}{D}$	$\frac{a_{w,j}^T{c}_{j,k}^T}{D}$	0
Ym	$\frac{a_{u,m}^T}{b_{p,m}^T+b_{u,m}^T}$	0	0	$\frac{a_{p,m}^T}{b_{p,m}^T+b_{u,m}^T}$
D	$b_{v,k}^T(b_{w,j}^T+c_{j,k}^T)+b_{w,j}^T{c}_{k,j}^T+b_{u,j}^T(b_{v,k}^T+c_{k,j}^T)$