A: in the diffusion model, evidence accumulates over time through a process that is contaminated by noise (shown by the sample path in gray). Evidence builds until it reaches a threshold (denoted here by T and −T), when a decision corresponding to that threshold is made. In the model, the rate of accumulation can be parameterized by a mean vector (shown in black) whose value is proportional to the motion coherence of the stimulus. Additional parameters include the value of the threshold and a constant temporal offset that represents fixed factors such as initial lower-level visual processing and implementation of the motor response. B: both the diffusion model (left column) and previous knowledge of visual areas such as MT+ (middle temporal, right column) generated predictions for functional magnetic resonance imaging (fMRI). Based on primate data, we anticipated progressively decreasing responses in intraparietal sulcus (IPS) and MT+ with increasing motion coherence. Top left: as illustrated for 3 of the 7 different motion coherences (see legend for color scheme), evidence accumulates at different average rates. Because the blood oxygenation level–dependent (BOLD) signal is thought to represent a convolution of neuronal activity with the hemodynamic response, we hypothesized that the measured fMRI response should be proportional to the integral of the evidence, as represented by the triangular areas beneath each line. Bottom left: the integral under the curve for the mean response rates, in arbitrary units, is plotted against the coherence. Under the above-described hypothesis, the measured BOLD signal declines sigmoidally with increasing coherence (note that 0% coherence is not shown on the log scale). Top right: to generate predictions for the responses of MT+, we relied on findings from macaque neurophysiology. Graphed at top are the normalized firing rate responses of neurons selective to different directions of motion across motion coherences from 0 to 100%, based on the work of Britten and colleagues (Britten et al. 1993; Niwa and Ditterich 2008; Rees et al. 2000). As motion coherence increases, the low but diffuse firing rates related to the random-motion component of the stimulus decline, whereas the large but focal firing rates for those neurons sensitive to the direction of motion increase substantially. Bottom right: we assume that the BOLD response captured within a single voxel represents the pooled activity of neurons of many preferred directions. Under this assumption and using parameters taken from Rees and colleagues (2000) (see methods), the measured BOLD signal declines progressively across motion coherences from 0 through 64%.