Table 1E. Glucagon Flow sub-model.

Number prefixes refer to position in Figure 1.

Glucagon release from pancreatic islet α-cells is suppressed by systemic arterial glucose as follows:-

$Glucagonsecretionrate=GLN\_glc\_sensitivitycoef*(1–\frac{Glc\_sys{A}^n}{Glc\_sys{A}^n+\hspace{0.17em}Km\_GLUT{1}^n}).$

The exponent n is found to give a good fit with n= 1 or 2

$\mathbf{4}{\int }_{t=0}^{t=tx}\frac{d}{dt}(HepGLN)=d/dt(HepGLN)=+PVGLNflow-HVGLNflow+HAGLNflow+SPCeGLNflow-HepGLNloss$

$\mathbf{5}{\int }_{t=0}^{t=tx}\frac{d}{dt}(SysGLN)=d/dt(SysGLN)=-SplenicandceliacvGLNflow–SomGLNflow–RenVGLNflow–HAGLNflow+aorticGLNflow-afferent.SMAGLNflow$

$\mathbf{7}{\int }_{t=0}^{t=tx}\frac{d}{dt}(SMAGLN)=d/dt(SMAGLN)=GLNsecretionrate–GLNshuntflow–PVGLNflow+afferentSMAGLNflow$