Homeostatic mechanisms in dopamine synthesis and release: a mathematical model by Various Authors

Author:Various Authors
Language: eng
Format: azw3
Published: 2015-05-14T16:00:00+00:00

Suppose, now, that only the fraction f of cells are still alive. Then C is replaced by fC and Vmax is replaced by fVmax, so the maximum is:

The shape of the graph of E(2) as a function of f depends on the size of . Bergstrom and Garris measured a Vmax close to 4 μM/sec and Km = 0.2 μM, so ≈ 40. This means that the graph of E(2) will be almost constant as f gets smaller from 1. Only when f gets very very small will E(2) plunge down to zero. This is the constant behavior of the peaks seen in [46], figure 3(a), for 20 Hz stimulation.

In the case of 60 Hz stimulation the peaks are quite high, as much as 3 μM for the intact striatum, far above the Km of the transporters. As long as the concentrations are well above the Km the transporters are saturated and we can approximate (1) by

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