Table 1.

Parameter changes. Each of the systems Σ₁–Σ₄ can be non-dimensionalized using these parameter changes. In each row, the ratio between the dimensional (e.g. t) and nondimensional (e.g. τ) parameter is given. The bottom two rows give the values of α and β in terms of the original kinetic coefficients for the model equations found in the appendix.

	σ₁	σ₂	σ₃	σ₄
τ/t	k_−e	k_−e	k_−e	k_−i
e/E	k_r/k_−e	k_r/k_−e	k_r/k_−e	–
i/I	$\frac{k_{r} k_{e} k_{- i}}{k_{i} k_{- e}^{2}}$	$\frac{k_{- i} k_{r}}{k_{i} k_{- e}}$	$\frac{k_{- i} k_{r}}{k_{i} k_{- e}}$	k_r/k_i
r/R	1/R_T	k_−e/k_e	1/R_T	1/R_T
c/C	$k_{- e}^{2} ∕ k_{e} k_{r}$	$k_{- e}^{2} ∕ k_{e} k_{r}$	$k_{- e}^{2} ∕ k_{e} k_{r}$	k_−i/k_r
α	k_−i/k_−e	k_−i/k_−e	k_i/k_r	–
β	$\frac{k_{i} k_{- e} k_{- r}}{k_{- i} k_{e} k_{r}}$	$\frac{k_{i} k_{- e} k_{- r}}{k_{r} k_{- i}^{2}}$	$\frac{k_{i} k_{- r}}{k_{- i} k_{r}}$	$\frac{k_{i} k_{- r}}{k_{- i} k_{r}}$