In the commonly used model (Sokoloff) for the transport and metabolism of glucose and 2-deoxyglucose in brain tissue a novel choice of constant parameters is proposed. In particular the maximal transport capacity for glucose is assumed proportional to the rate of glucose consumption. The proportionality factor, the "transport factor", may be calculated from the lumped constant and is more likely than the latter to remain constant under varying conditions. Calculations founded on these considerations should yield results similar to the Sokoloff procedure in many situations, but differences appear when the arterial glucose concentration changes. The model is flexible and allows changes.