Abstract

Neurons in sensory cortices are more naturally and deeply integrated than any current neural population recording tools (e.g. electrode arrays, fluorescence imaging). Two concepts facilitate efforts to observe population neural code with single-cell recordings. First, even the highest quality single-cell recording studies find a fraction of the stimulus information in high-dimensional population recordings. Finding any of this missing information provides proof of principle. Second, neurons and neural populations are understood as coupled nonlinear differential equations. Therefore, fitted ordinary differential equations provide a basis for single-trial single-cell stimulus decoding. We obtained intracellular recordings of fluctuating transmembrane current and potential in mouse visual cortex during stimulation with drifting gratings. We use mean deflection from baseline when comparing to prior single-cell studies because action potentials are too sparse and the deflection response to drifting grating stimuli (e.g. tuning curves) are well studied. Equation-based decoders allowed more precise single-trial stimulus discrimination than tuning-curve-base decoders. Performance varied across recorded signal types in a manner consistent with population recording studies and both classification bases evinced distinct stimulus-evoked phases of population dynamics, providing further corroboration. Naturally and deeply integrated observations of population dynamics would be invaluable. We offer proof of principle and a versatile framework.

Highlights

  • Dimensionality expansion captures dynamically rich neural trajectories from single neurons.Synaptically driven transmembrane electrotonic fluctuations contain rich information about network activity (Fig. 1c) but it is not clear how to get that information

  • We found that dimensionality expansion of our intracellular recordings followed by dynamical discrimination permitted better than chance classification of small changes in orientation, size, and contrast of drifting gratings

  • Membrane potential and transmembrane current recorded from neurons in mouse primary visual cortex underwent dimensionality expansion

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Summary

Main text

Dimensionality expansion captures dynamically rich neural trajectories from single neurons. When changing a single parameter of a simple visual stimulus (e.g. changing size, contrast, or orientation of a drifting grating) the deflection from baseline of transmembrane current or potential (see Fig. 2a) or firing rate of a neuron will smoothly increase or decrease, but this is only true for cross-trial averages. The simple difference formula effect size for comparison with dynamical discrimination was ­rSDF = 0.141, which has a Wilcoxon sign-rank p-value of p = 0.0061 This was the second-best method of classification, retaining most of the key results with better than chance classification of E,OI and better than deflection performance in E,OI, I,SI, E,SI, and even I,CI (see supplemental Table S1). We see our results for in-vivo data are near the ceiling for this implementation of dynamical discrimination and in line with expectations for synaptic impulses that are completely governed by a dynamical system being manipulated through a bifurcation and chaos

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