MODELING THE RECPTIVE FIELD ORGANIZATION OF OPTIC FLOW SELECTIVE MST NEURONS Chen-Ping Yu +, William K. Page*, Roger Gaborski +, and Charles J. Duffy Dept. of Neurology, Univ. of Rochester, Rochester, NY Dept. of Computer Science, Rochester Institute of Technology, Rochester, NY INTRODUCTION The radial pattern of optic flow surrounds the moving observer and provides robust cues about the direction of self-movement as the flow field’s focus of expansion (FOE). Local Motion Composition Of The Global Pattern In Optic Flow The optic flow field contains a spectrum of local directional segments each of which contains somewhat different directions of approximately planar local motion. Here we examine whether simultaneously presented patches of local motion reveal MST neuronal response interactions that might support global pattern selectivity. METHODS: Dual Gaussian Response Field Modeling Training with Genetic Algorithm Randomly Generate 2550 Gaussian Models Assess fit of each model to neuron response data Each model: 18 Gaussians (2 for each of 9 sites) Gain Direction Width Polarity models with least total error across stimuli (firing rate) 25 models with fewest response group error (3 clusters) Cross-over models at random sites to yield 2550 new models ….. X Repeat across 75 generations (asymptotic error reduction) 9 Site, Dual Gaussian Model Of MST Receptive Fields Single site, local motion stimuli yield directional response profiles, typically modeled by combined excitatory and inhibitory mechanisms. Excitatory Gaussian Inhibitory Gaussian Single site, local motion data yield dual-Gaussian fits combining an excitatory and inhibitory mechanism, or two excitatory, or two inhibitory mechanisms. In the latter cases, the two can be so similar as to be construed as a single mechanism. The local motion model of 819R09 shows an irregular fit to the optic flow response data, suggesting local motion mechanisms partially account for the global pattern selectivity. Dual Gaussian Model of MST Response Field Can Fit Optic Flow Data Dual Gaussian Model (derived from single site, local motion data) Excitatory Inhibitory Gaussian Parameters Length=Gain Head=Width Local Motion StimuliOptic Flow Stimuli Model Training Fit Model Testing Fit NeuronModelNeuronModel Firing Rate (spks/s) Dual Local Motion Stimuli Reveal Direction Selective Interactions We hypothesized that interactions between local response mechanisms might alter the net directionality of MST receptive fields and promote global pattern selectivity. We tested this hypothesis by simultaneously presenting local motion stimuli at two sites in the receptive field, revealing a diverse set of complex interactions. Hot Spot Dual Simultaneous Stimulation Two Hot Spot Directions X 4 Test Spot Directions Single Site Stimulation One Site X 4 Directions Neuron 819R10 50 spks/s 50 spks/s 50 spks/s 50 spks/s 500 ms Test Spot Test Spot Test Spot Vector differences between the single and the dual site data represent dual site interactions with that Hot Spot direction. Transforms for sites not in dual site study are then interpolated from neighboring sites. Dual site data is used to modify the singles data receptive field model for optic flow having that local motion direction at that Hot Spot location. METHODS: 2 Site Data Changes 1 Site Model of Optic Flow Response Dual Site Data (Lt-Up Hot Spot Lt) Single Site Data (Only Dual Sites Shown) Single to Dual Transform (Lt-Up w/ Lt; interpolate sites) ( ) Single Site Model ( ) Transformed Model (For Flow w/ Lt-Up w/ Lt ) Interpolated Transform (Lt-Up w/ Lt + interpolation) PRELIMINARY SUMMARY MST neuronal responses to optic flow are not accounted for by the array of local motion responses. Dual Gaussian models derived by genetic algorithm fit single site local motion, but not optic flow responses. Dual simultaneous stimuli reveal dynamic interactions between sites throughout the receptive field. Fits to optic flow responses can be improved by transforming models using dual site response interactions. This work was supported by grants from NEI (R01EY10287, P30EY01319). Evaluate model across sample of 60 neurons recorded with optic flow, single site, and selected dual site stimuli. Assess impact of the dual site transforms in modeling early phasic responses versus late tonic responses to local motion and optic flow stimuli. Create a Monte Carlo simulation of dual site transforms by applying each neuron’s dual site transforms to a) other sites in the neuron, & b) all sites in all other neurons. CONTINUED DEVELOPMENT We applied the genetic algorithm to modify the dual Gaussian, single stimulus receptive field model for each Hot Spot direction. We interpolated between dual stimulus data sets to create versions that represent effects at intermediate Hot Spot directions. Responses to optic flow were predicted by the version of the model having the local motion direction at the tested Hot Spot. 2 Site Data Transforms 1 Site Model for Each Hot Spot Direction Singles Model Center Hot Spot Right Center Hot Spot Up Center Hot Spot Down Center Hot Spot Left Neuron 819R34 Optic Flow Responses Predicted By Model With Its Hot Spot Direction We compared single and dual stimulus models by ability to fit optic flow responses. Responses were divided in to three levels by k-means cluster analysis (typically either: no / small / large response or inhibitory / no / excitatory response ). The diverse set of results is assessed by the number of points that matched cluster classification. Optic Flow Stimuli Normalized Firing Rate (spks/s) Single Stimulus Model of Optic Flow ResponsesDual Stimulus Model of Optic Flow Responses Optic Flow Stimuli Neuron 819R34 Class Error: 15Class Error: 5 Neuron Model Neuron Model METHODS: MST Neuronal Responses to Optic Flow and Local Motion We first recorded the responses of MST neurons in monkeys viewing dot pattern optic flow stimuli simulating movement in 3D space during centered visual fixation on a 90 o X 90 o rear projection screen. We then recorded the responses of these neurons to 30 o X 30 o patches of local planar motion by presenting dot pattern motion in four cardinal directions on an otherwise blank screen. Local Motion Stimuli (4 directions of local motion at 9 sites 30 o2 ) Optic Flow Responses Simulate Observer Movement in 16 Directions Optic Flow Stimulus Discharge Rate ( spk /sec) Neuron 819R09 Optic Flow Stimulus Discharge Rate ( spk /sec) Neuron 819R09