Computational Methods for Estimating Molecular System from Membrane Potential Recordings in Nerve Growth Cone.

Biological cells express intracellular biomolecular information to the extracellular environment as various physical responses. We show a novel computational approach to estimate intracellular biomolecular pathways from growth cone electrophysiological responses. Previously, it was shown that cGMP signaling regulates membrane potential (MP) shifts that control the growth cone turning direction during neuronal development. We present here an integrated deterministic mathematical model and Bayesian reversed-engineering framework that enables estimation of the molecular signaling pathway from electrical recordings and considers both the system uncertainty and cell-to-cell variability. Our computational method selects the most plausible molecular pathway from multiple candidates while satisfying model simplicity and considering all possible parameter ranges. The model quantitatively reproduces MP shifts depending on cGMP levels and MP variability potential in different experimental conditions. Lastly, our model predicts that chloride channel inhibition by cGMP-dependent protein kinase (PKG) is essential in the core system for regulation of the MP shifts.

Multi-phasic bi-directional chemotactic responses of the growth cone.

The nerve growth cone is bi-directionally attracted and repelled by the same cue molecules depending on the situations, while other non-neural chemotactic cells usually show uni-directional attraction or repulsion toward their specific cue molecules. However, how the growth cone differs from other non-neural cells remains unclear. Toward this question, we developed a theory for describing chemotactic response based on a mathematical model of intracellular signaling of activator and inhibitor. Our theory was first able to clarify the conditions of attraction and repulsion, which are determined by balance between activator and inhibitor, and the conditions of uni- and bi-directional responses, which are determined by dose-response profiles of activator and inhibitor to the guidance cue. With biologically realistic sigmoidal dose-responses, our model predicted tri-phasic turning response depending on intracellular Ca2+ level, which was then experimentally confirmed by growth cone turning assays and Ca2+ imaging. Furthermore, we took a reverse-engineering analysis to identify balanced regulation between CaMKII (activator) and PP1 (inhibitor) and then the model performance was validated by reproducing turning assays with inhibitions of CaMKII and PP1. Thus, our study implies that the balance between activator and inhibitor underlies the multi-phasic bi-directional turning response of the growth cone.

Semaphorin 3A induces CaV2.3 channel-dependent conversion of axons to dendrites.

Polarized neurites (axons and dendrites) form the functional circuitry of the nervous system. Secreted guidance cues often control the polarity of neuron migration and neurite outgrowth by regulating ion channels. Here, we show that secreted semaphorin 3A (Sema3A) induces the neurite identity of Xenopus spinal commissural interneurons (xSCINs) by activating Ca(V)2.3 channels (Ca(V)2.3). Sema3A treatment converted the identity of axons of cultured xSCINs to that of dendrites by recruiting functional Ca(V)2.3. Inhibition of Sema3A signalling prevented both the expression of Ca(V)2.3 and acquisition of the dendrite identity, and inhibition of Ca(V)2.3 function resulted in multiple axon-like neurites of xSCINs in the spinal cord. Furthermore, Sema3A-triggered cGMP production and PKG activity induced, respectively, the expression of functional Ca(V)2.3 and the dendrite identity. These results reveal a mechanism by which a guidance cue controls the identity of neurites during nervous system development.

GABAergic activities control spike timing- and frequency-dependent long-term depression at hippocampal excitatory synapses.

GABAergic interneuronal network activities in the hippocampus control a variety of neural functions, including learning and memory, by regulating θ and γ oscillations. How these GABAergic activities at pre- and postsynaptic sites of hippocampal CA1 pyramidal cells differentially contribute to synaptic function and plasticity during their repetitive pre- and postsynaptic spiking at θ and γ oscillations is largely unknown. We show here that activities mediated by postsynaptic GABA(A)Rs and presynaptic GABA(B)Rs determine, respectively, the spike timing- and frequency-dependence of activity-induced synaptic modifications at Schaffer collateral-CA1 excitatory synapses. We demonstrate that both feedforward and feedback GABA(A)R-mediated inhibition in the postsynaptic cell controls the spike timing-dependent long-term depression of excitatory inputs ("e-LTD") at the θ frequency. We also show that feedback postsynaptic inhibition specifically causes e-LTD of inputs that induce small postsynaptic currents (<70 pA) with LTP-timing, thus enforcing the requirement of cooperativity for induction of long-term potentiation at excitatory inputs ("e-LTP"). Furthermore, under spike-timing protocols that induce e-LTP and e-LTD at excitatory synapses, we observed parallel induction of LTP and LTD at inhibitory inputs ("i-LTP" and "i-LTD") to the same postsynaptic cells. Finally, we show that presynaptic GABA(B)R-mediated inhibition plays a major role in the induction of frequency-dependent e-LTD at α and ß frequencies. These observations demonstrate the critical influence of GABAergic interneuronal network activities in regulating the spike timing- and frequency-dependences of long-term synaptic modifications in the hippocampus.

From guidance signals to movement: signaling molecules governing growth cone turning.

Directed growth cone movements in response to external guidance signals are required for the establishment of functional neuronal connections during development, adult nerve regeneration, and adult neurogenesis. Growth cone intrinsic properties permit different growth cone responses (e.g., attraction or repulsion) to a guidance signal, and alterations to these intrinsic properties often result in opposite growth cone responses. This article reviews the current knowledge of growth cone signaling, emphasizing the dependency of Ca(2+) signaling on membrane potential shifts, and cyclic nucleotide and phosphoinositide signaling pathways during growth cone turning in response to guidance signals. We also discuss how asymmetrical growth cone signaling is achieved for the fine-tuned growth cone movement.

Membrane potential shifts caused by diffusible guidance signals direct growth-cone turning.

Plasma membrane potentials gate the ion channel conductance that controls external signal-induced neuronal functions. We found that diffusible guidance molecules caused membrane potential shifts that resulted in repulsion or attraction of Xenopus laevis spinal neuron growth cones. The repellents Sema3A and Slit2 caused hyperpolarization, and the attractants netrin-1 and BDNF caused depolarization. Clamping the growth-cone potential at the resting state prevented Sema3A-induced repulsion; depolarizing potentials converted the repulsion to attraction, whereas hyperpolarizing potentials had no effect. Sema3A increased the intracellular concentration of guanosine 3',5'-cyclic monophosphate ([cGMP]i) by soluble guanylyl cyclase, resulting in fast onset and long-lasting hyperpolarization. Pharmacological increase of [cGMP](i) caused protein kinase G (PKG)-mediated depolarization, switching Sema3A-induced repulsion to attraction. This bimodal switch required activation of either Cl(-) or Na+ channels, which, in turn, regulated the differential intracellular Ca2+ concentration increase across the growth cone. Thus, the polarity of growth-cone potential shifts imposes either attraction or repulsion, and Sema3A achieves this through cGMP signaling.

Cyclic GMP-gated CNG channels function in Sema3A-induced growth cone repulsion.

Cyclic nucleotide-gated channels (CNGCs) transduce external signals required for sensory processes, e.g., photoreception, olfaction, and taste. Nerve growth cone guidance by diffusible attractive and repulsive molecules is regulated by differential growth cone Ca2+ signaling. However, the Ca2+-conducting ion channels that transduce guidance molecule signals are largely unknown. We show that rod-type CNGC-like channels function in the repulsion of cultured Xenopus spinal neuron growth cones by Sema3A, which triggers the production of the cGMP that activates the Xenopus CNGA1 (xCNGA1) subunit-containing channels in interneurons. Downregulation of xCNGA1 or overexpression of a mutant xCNGA1 incapable of binding cGMP abolished CNG currents and converted growth cone repulsion to attraction in response to Sema3A. We also show that Ca2+ entry through xCNGCs is required to mediate the repulsive Sema3A signal. These studies extend our knowledge of the function of CNGCs by demonstrating their requirement for signal transduction in growth cone guidance.

Activation of FAK and Src are receptor-proximal events required for netrin signaling.

The axon guidance cue netrin is importantly involved in neuronal development. DCC (deleted in colorectal cancer) is a functional receptor for netrin and mediates axon outgrowth and the steering response. Here we show that different regions of the intracellular domain of DCC directly interacted with the tyrosine kinases Src and focal adhesion kinase (FAK). Netrin activated both FAK and Src and stimulated tyrosine phosphorylation of DCC. Inhibition of Src family kinases reduced DCC tyrosine phosphorylation and blocked both axon attraction and outgrowth of neurons in response to netrin. Mutation of the tyrosine phosphorylation residue in DCC abolished its function of mediating netrin-induced axon attraction. On the basis of our observations, we suggest a model in which DCC functions as a kinase-coupled receptor, and FAK and Src act immediately downstream of DCC in netrin signaling.

Cyclic AMP/GMP-dependent modulation of Ca2+ channels sets the polarity of nerve growth-cone turning.

Signalling by intracellular second messengers such as cyclic nucleotides and Ca2+ is known to regulate attractive and repulsive guidance of axons by extracellular factors. However, the mechanism of interaction among these second messengers in determining the polarity of the guidance response is largely unknown. Here, we report that the ratio of cyclic AMP to cyclic GMP activities sets the polarity of netrin-1-induced axon guidance: high ratios favour attraction, whereas low ratios favour repulsion. Whole-cell recordings of Ca2+ currents at Xenopus spinal neuron growth cones indicate that cyclic nucleotide signalling directly modulates the activity of L-type Ca2+ channels (LCCs) in axonal growth cones. Furthermore, cGMP signalling activated by an arachidonate 12-lipoxygenase metabolite suppresses LCC activity triggered by netrin-1, and is required for growth-cone repulsion mediated by the DCC-UNC5 receptor complex. By linking cAMP and cGMP signalling and modulation of Ca2+ channel activity in growth cones, these findings delineate an early membrane-associated event responsible for signal transduction during bi-directional axon guidance.