A Novel Restricted Diffusion Model of Evoked Dopamine
In vivo fast-scan cyclic
voltammetry provides high-fidelity recordings of electrically evoked
dopamine release in the rat striatum. The evoked responses are suitable
targets for numerical modeling because the frequency and duration of
the stimulus are exactly known. Responses recorded in the dorsal and
ventral striatum of the rat do not bear out the predictions of a
numerical model that assumes the presence of a diffusion gap interposed
between the recording electrode and nearby dopamine terminals. Recent
findings, however, suggest that dopamine may be subject to restricted
diffusion processes in brain extracellular space. A numerical model
cast to account for restricted diffusion produces excellent agreement
between simulated and observed responses recorded under a broad range
of anatomical, stimulus, and pharmacological conditions. The numerical
model requires four, and in some cases only three, adjustable
parameters and produces meaningful kinetic parameter values.
Figure 1: (A) Evoked responses,
as predicted by eq 1 (red line), rise during the stimulus and decay
back to zero after the stimulus ends. However, observed responses
(green line) also exhibit lag (an initial delay in the appearance of
the signal), overshoot (the signal continues to rise after the stimulus
ends), and hang-up (the signal remains elevated for prolonged periods
after the stimulus ends instead of returning to baseline). The open
square indicates the start of the stimulus, and the closed triangles
indicate the end of the stimulus. (B) Schematic representation of the
RD model (see the Methods section for definitions of the parameters).
The extracellular space is divided into inner (IC) and outer (OC)
compartments. DA is released from axon terminals (at) to the IC, is
subsequently transported to the OC, and is removed from the OC by
uptake. The model postulates that FSCV recording takes place in the OC.
Figure 2: Three-parameter RD
simulations of postnomifensine averaged responses to 0.2 s, 60 Hz
stimuli recorded in the dorsal striatum and the nucleus accumbens.
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