TABLE 6.

The Relationship Between Dimensional and Dimensionless Variables

	Species	Dimensional form	Dimensionless form
Stimulus pathway	HRS	y1	u1 = y1/[Rs]T
	HRSGS	y2	$v_1=\frac{k_{-2}+k_3}{k_2{\left[{\text{R}}_{\text{s}}\right]}_T{\left[{\text{G}}_{\text{s}}\right]}_T}{y}_2$
	${\text{G}}_{\text{s}}^{\prime }$	y3	u2 = y3/[Gs]T
	${\text{G}}_{\text{s}}^{\prime }\text{AC}$	y4	u3 = y4/[UC]T
	αsGDP	y5	v2 = (k6/k5)y5
Inhibitory pathway	HRi	y6	u4 = y6/[Ri]T
	HRiGi	y7	${\nu }_3=\frac{h_{-2}+h_3}{h_2{\left[{\text{R}}_{\text{i}}\right]}_T{\left[{\text{G}}_{\text{i}}\right]}_T}{y}_7$
	${\text{G}}_{\text{i}}^{\prime }$	y8	u5 = y8/[Gi]T
	${\text{HR}}_{\text{s}}{\text{G}}_{\text{i}}^{\prime }$	y9	u5 = y8/[Gi]T
	αiGDP	y10	v4 = (h7/h5)y10
cAMP generation and secretion	${\text{G}}_{\text{s}}^{\prime }\text{AC}-\text{ATP}$	y11	$v_5=\frac{l_{-1}+l_2}{l_1{\left[\text{UC}\right]}_T}{y}_{11}$
	cAMPi	y12	u7 = y12/[iPDE]T
	iPDE-cAMPi	y13	$v_6=\left(l_{-3}+l_4\right)y_{13}/l_3{\left[\text{iPDE}\right]}_T^2$
	${\text{cAMP}}_o^{*}$	$y_{14}^{*}$	$u_8^{*}=y_{14}^{*}/{\left[\text{iPDE}\right]}_T$
Time scale		t	τ = k5t