. Author manuscript; available in PMC: 2007 Nov 26.

Published in final edited form as: J Cereb Blood Flow Metab. 2007 Jun 20;27(11):1766–1791. doi: 10.1038/sj.jcbfm.9600521

Model compartments, inflows/outflows and starting conditions.

The compartments of Figure 4 (endothelium (e), basal lamina (bl), astrocyte (a), interstitium (int) and neuron (n)) are subdivided into glucose and lactate compartments (e.g. Glc^e and Lac^e). The inflows/outflows (J) cross-reference to Figure 4 through their assigned number. For example net flow of glucose into the endothelium is given by J1–J2 where J1 represents GLUT1-mediated net glucose movement from serum to endothelium (Fig 4) and J2 is net sugar movement from endothelium to interstitium (Fig 4). Starting conditions for simulations assumed that each compartment was glucose- and lactate-free.

Glucose Compartments & inflow outflow	Lactate Compartments & inflow outflow
Glc^e = [Glc]_Endothelium. V^e d/dt (Glc^e) = + J1 − J2	Lac^e = [Lactate]_Endothelium. V^e d/dt (Lac^e) = + J11 − J12
Glc^bl = [Glc]_BasalLamina. V^bl d/dt (Glc^bl) = + J2 − J3 − J4	Lac^bl = [Lactate]_BasalLamina. V^bl d/dt (Lac^bl) = + J12 − J13 − J14
Glc^a = [Glc]_Astrocyte. V^a d/dt (Glc^a) = + J3 − J5 − J7 − J8	Lac^a = [Lactate]_Astrocyte. V^a d/dt (Lac^a) = J7 + J13 − J15 − J17
Glc^int = [Glc]_Interstitium. V^int d/dt (Glc^int) = + J4 + J5 − J6	Lac^int = [Lactate]_Interstitium. V^int d/dt (Lac^int) = + J14 + J15 − J16
Glcⁿ = [Glc]_Neuron. Vⁿ d/dt (Glcⁿ) = + J6 − J9 − J10	Lacⁿ = [Lactate]_Neuron. Vⁿ d/dt (Lacⁿ) = + J9 + J16 − J18