Faculty Bibliography

Cerebellar Purkinje cells in vitro fire recurrent sequences of Sodium and Calcium spikes. Here, we analyze the Purkinje cell using harmonic analysis, and our experiments reveal that its output signal is comprised of three distinct frequency bands, which are combined using Amplitude and Frequency Modulation (AM/FM). We find that the three characteristic frequencies - Sodium, Calcium and Switching - occur in various combinations in all waveforms observed using whole-cell current clamp recordings. We found that the Calcium frequency can display a frequency doubling of its frequency mode, and the Switching frequency can act as a possible generator of pauses that are typically seen in Purkinje output recordings. Using a reversibly photo-switchable kainate receptor agonist, we demonstrate the external modulation of the Calcium and Switching frequencies. These experiments and Fourier analysis suggest that the Purkinje cell can be understood as a harmonic signal oscillator, enabling a higher level of interpretation of Purkinje signaling based on modern signal processing techniques.

Neurobiology has entered a new era in which optical methods are challenging electrophysiological techniques for their value in measuring and manipulating neuronal activity. This change is occurring largely because of the development of new photochemical tools, some synthesized by chemists and some provided by nature. This review is focused on the three types of photochemical tools for neuronal control that have emerged in recent years. Caged neurotransmitters, including caged glutamate, are synthetic molecules that enable highly localized activation of neurotransmitter receptors in response to light. Natural photosensitive proteins, including channelrhodopsin-2 and halorhodopsin, can be exogenously expressed in neurons and enable rapid photocontrol of action potential firing. Synthetic small molecule photoswitches can bestow light-sensitivity on native or exogenously expressed proteins, including K(+) channels and glutamate receptors, allowing photocontrol of action potential firing and synaptic events. At a rapid pace, these tools are being improved and new tools are being introduced, thanks to molecular biology and synthetic chemistry. The three families of photochemical tools have different capabilities and uses, but they all share in enabling precise and noninvasive exploration of neural function with light.

Locomotion relies on neural networks called central pattern generators (CPGs) that generate periodic motor commands for rhythmic movements. In vertebrates, the excitatory synaptic drive for inducing the spinal CPG can originate from either supraspinal glutamatergic inputs or from within the spinal cord. Here we identify a spinal input to the CPG that drives spontaneous locomotion using a combination of intersectional gene expression and optogenetics in zebrafish larvae. The photo-stimulation of one specific cell type was sufficient to induce a symmetrical tail beating sequence that mimics spontaneous slow forward swimming. This neuron is the Kolmer-Agduhr cell, which extends cilia into the central cerebrospinal-fluid-containing canal of the spinal cord and has an ipsilateral ascending axon that terminates in a series of consecutive segments. Genetically silencing Kolmer-Agduhr cells reduced the frequency of spontaneous free swimming, indicating that activity of Kolmer-Agduhr cells provides necessary tone for spontaneous forward swimming. Kolmer-Agduhr cells have been known for over 75 years, but their function has been mysterious. Our results reveal that during early development in zebrafish these cells provide a positive drive to the spinal CPG for spontaneous locomotion.

Potassium channels are among the core functional elements of life because they underpin essential cellular functions including excitability, homeostasis, and secretion. We present here a series of multivalent calix[4]arene ligands that bind to the surface of voltage-dependent potassium channels (K(v)1.x) in a reversible manner. Molecular modeling correctly predicts the best candidates with a conical C(4) symmetry for optimal binding, and the effects on channel function are assessed electrophysiologically. Reversible inhibition was observed, without noticeable damage of the oocytes, for tetraacylguanidinium or tetraarginine members of the series with small lower rim O-substituents. Apparent binding constants were in the low micromolar range and had Hill coefficients of 1, consistent with a single site of binding. Suppression of current amplitude was accompanied by a positive shift in the voltage dependence of gating and slowing of both voltage sensor motion and channel opening. These effects are in keeping with expectations for docking in the central pore and interaction with the pore domain "turret."

Photoswitched tethered ligands (PTLs) can be used to remotely control protein function with light. We have studied the geometric and conformational factors that determine the efficacy of PTL gating in the ionotropic glutamate receptor iGluR6 using a family of photoiosomerizable MAG (maleimide-azobenzene-glutamate) PTLs that covalently attach to the clamshell ligand-binding domain. Experiments and molecular dynamics simulations of the modified proteins show that optical switching depends on 2 factors: (i) the relative occupancy of the binding pocket in the 2 photoisomers of MAG and (ii) the degree of clamshell closure that is possible given the disposition of the MAG linker. A synthesized short version of MAG turns the channel on in either the cis or trans state, depending on the point of attachment. This yin/yang optical control makes it possible for 1 wavelength of light to elicit action potentials in one set of neurons, while deexciting a second set of neurons in the same preparation, whereas a second wavelength has the opposite effect. The ability to generate opposite responses with a single PTL and 2 versions of a target channel, which can be expressed in different cell types, paves the way for engineering opponency in neurons that mediate opposing functions.