龙虾胃肠神经系统的数值分析

利用抑制神经系统的WinnerLess Competition(WLC)模型,通过数值方法分析Mulloney型龙虾胃肠神经系统神经元的电位发放,得到胃研磨囊和幽门神经系统中各个神经元的电位发放和系统的节律变化。结果表明,胃研磨系统内神经元的发放规律显示两侧牙齿和中间牙齿出现切断、挤压和研磨食物等状态,幽门系统内神经元的发放规律显示幽门节律出现依次发放的三个部分。两个神经系统的数值结果,不仅解释了龙虾胃肠神经系统中神经元电位发放与肌肉运动的关系,而且理论再现了龙虾胃肠神经系统的节律变化和实验结果。     

Modulation of stomatogastric rhythms

Neuromodulation by peptides and amines is a primary source of plasticity in the nervous system as it adapts the animal to an ever-changing environment. The crustacean stomatogastric nervous system is one of the premier systems to study neuromodulation and its effects on motor pattern generation at the cellular level. It contains the extensively modulated central pattern generators that drive the gastric mill (chewing) and pyloric (food filtering) rhythms. Neuromodulators affect all stages of neuronal processing in this system, from membrane currents and synaptic transmission in network neurons to the properties of the effector muscles. The ease with which distinct neurons are identified and their activity is recorded in this system has provided considerable insight into the mechanisms by which neuromodulators affect their target cells and modulatory neuron function. Recent evidence suggests that neuromodulators are involved in homeostatic processes and that the modulatory system itself is under modulatory control, a fascinating topic whose surface has been barely scratched. Future challenges include exploring the behavioral conditions under which these systems are activated and how their effects are regulated.     

Motor patterns in the stomatogastric ganglion of the lobster Panulirus argus.

1. Acitivity patterns arising from the thirty cells of the stomatogastric ganglion of Panulirus argus are described for both a semi-intact preparation and an isolated one. 2. The thirty or so cells can be divided so far into two functional groupings: the gastric mill group, with at least ten motor elements, and the pyloric group with at least fourteen. There is some, but not extensive, interaction between groups. 3. The main gastric mill activity is arranged in two sets of elements, each of which is composed of reciprocating elements innervating antagonistic muscles. Thus alternation in activity between the single LC and the two LG neurones results in alternate closing and opening of the lateral teeth; alternation between the four GM and single CP units results in alternate protraction and retraction of the medial tooth. 4. The two sets are phased to each other in such a way that they cause gastric mill teeth to operate effectively to masticate food. 5. The main pyloric activity is arranged in a three-part cycle with each of three sets of units active in sequence. Activity in two PD and one AB unit is followed by bursts in IC and LP units followed in turn by activity in up to seven PY units. Activity in a single VD neurone is locked to this cycle in a more complex pattern.     

Consistent dynamics suggests tight regulation of biophysical parameters in a small network of bursting neurons

The neuronal firing patterns in the pyloric network of crustaceans are remarkably consistent among animals. Although this characteristic of the pyloric network is well-known, the biophysical mechanisms underlying the regulation of the systems output are receiving renewed attention. Computer simulations of the pyloric network recently demonstrated that consistent motor output can be achieved from neurons with disparate biophysical parameters among animals. Here we address this hypothesis by pharmacologically manipulating the pyloric network and analyzing the emerging voltage oscillations and firing patterns. Our results show that the pyloric network of the lobster stomatogastric ganglion maintains consistent and regular firing patterns even when entire populations of specific voltage-gated channels and synaptic receptors are blocked. The variations of temporal parameters used to characterize the burst patterns of the neurons as well as their intraburst spike dynamics do not display statistically significant increase after blocking the transient K-currents (with 4-aminopyridine), the glutamatergic inhibitory synapses (with picrotoxin), or the cholinergic synapses (with atropine) in pyloric networks from different animals. These data suggest that in this very compact circuit, the biophysical parameters are cell-specific and tightly regulated.     

Neuromodulatory changes in short-term synaptic dynamics may be mediated by two distinct mechanisms of presynaptic calcium entry

Although synaptic output is known to be modulated by changes in presynaptic calcium channels, additional pathways for calcium entry into the presynaptic terminal, such as non-selective channels, could contribute to modulation of short term synaptic dynamics. We address this issue using computational modeling. The neuropeptide proctolin modulates the inhibitory synapse from the lateral pyloric (LP) to the pyloric dilator (PD) neuron, two slow-wave bursting neurons in the pyloric network of the crab Cancer borealis. Proctolin enhances the strength of this synapse and also changes its dynamics. Whereas in control saline the synapse shows depression independent of the amplitude of the presynaptic LP signal, in proctolin, with high-amplitude presynaptic LP stimulation the synapse remains depressing while low-amplitude stimulation causes facilitation. We use simple calcium-dependent release models to explore two alternative mechanisms underlying these modulatory effects. In the first model, proctolin directly targets calcium channels by changing their activation kinetics which results in gradual accumulation of calcium with low-amplitude presynaptic stimulation, leading to facilitation. The second model uses the fact that proctolin is known to activate a non-specific cation current I _MI . In this model, we assume that the MI channels have some permeability to calcium, modeled to be a result of slow conformation change after binding calcium. This generates a gradual increase in calcium influx into the presynaptic terminals through the modulatory channel similar to that described in the first model. Each of these models can explain the modulation of the synapse by proctolin but with different consequences for network activity.     

Multiple motor patterns in the stomatogastric ganglion of the shrimp Penaeus japonicus

 Motor patterns of the cardiac sac, the gastric and the pyloric network in the stomatogastric nervous system of the shrimp Penaeus japonicus, the most primitive decapod species, were studied. Single neurons can switch from the gastric or the pyloric pattern to the cardiac sac pattern. Some of the pyloric neurons fire with the gastric pattern. All of the gastric neurons fire with the pyloric pattern, unlike those in reptantians. Proctolin activates and modulates the cardiac sac and the pyloric rhythm, and promotes reconfiguration of the networks. Neurons of the three networks have so many interconnections that they construct a multifunctional neural network like those in Cancer. This network may function in different configurations under the appropriate conditions. Several modes of interactions between the networks found in different reptantian species can apply to the penaeidean shrimp. Such interactions are general features of the stomatogastric nervous system in decapods. Phylogenetic differences among the decapod infraorders are seen in the number and orientation of muscles and the innervation pattern of muscles. The multifunctional networks have existed in the most primitive decapod species, and types of configurations of the networks would have evolved to produce a wide range of motor patterns as the foregut structure has become complex. Accepted: 26 October 1999     

Neural control of the pyloric region in the foregut of the shrimp Penaeus (Decapoda: Penaeidae)

Pyloric pattern-generating neurons that control the pyloric region of the foregut were identified in the stomatogastric ganglion of the most primitive decapod genus Penaeus. Five types of motor neurons and one interneuron are involved in generation of pyloric motor pattern. One cell type of motor neurons innervates muscles of both the gastric mill and the pylorus like the gastric motor neurons in Cancer, but unlike those in Panulirus. These identified neurons are connected to each other either by electrical or inhibitory chemical synapses to construct the neural circuit. This pyloric circuit is similar to the homologous circuit of other crustacean species though some differences are seen in synaptic connections, supporting the hypothesis that the basic design of the neural circuit has been conserved during evolution of the Malacostraca, and that differences have occurred in the synaptic connectivity as the foregut structure has become complex. The motor neurons use either acetylcholine or glutamate as a neurotransmitter like in reptantians. The foregut structure, the number of the pyloric cells, muscle innervation, neurotransmitters, and circuitry are compared among malacostracan crustaceans to provide insight into how the neural circuits change and evolve to produce the motor patterns mediating behaviour. Accepted: 18 April 1997     

Pattern generation in the lobster (Panulirus) stomatogastric ganglion

1. Results from the companion paper were incorporated into a physiologically realistic computer model of the three principal cell types (PD/AB, LP, PY) of the pyloric network in the stomatogastric ganglion. Parameters for the model were mostly calculated (sometimes estimated) from experimental data rather than fitting the model to observed output patterns. 2. The initial run was successful in predicting several features of the pyloric pattern: the observed gap between PD and LP bursts, the appropriate sequence of the activity periods (PD, LP, PY), and a substantial PY burst not properly simulated by an earlier model. 3. The major discrepancy between model and observed patterns was the too-early occurrence of the PY burst, which resulted in a much shortened LP burst. Motivated by this discrepancy, additional investigations were made of PY properties. A hyperpolarization-enabled depolorization-activated hyperpolarizing conductance change was discovered which may make an important contribution to the late phase of PY activity in the normal burst cycle. Addition of this effect to the model brought its predictions more in line with observed patterns. 4. Other discrepancies between model and observation were instructive and are discussed. The findings force a substantial revision in previously held ideas on pattern production in the pyloric system. More weight must be given to functional properties of individual neurons and less to properties arising purely from network interactions. This shift in emphasis may be necessary in more complicated systems as well. 5. An example has been provided of the value quantitative modeling can be to network physiology. Only through rigorous quantitative testing can qualitative theories of how the nervous system operates be substantiated.     

On the development of feature detectors in the visual cortex with applications to learning and reaction-diffusion systems

Developmental mechanisms for tuning of visual cortex are derived from adult learning mechanisms: an adaptational property of shunting on-center off-surround networks that prevents saturation of parallel processed patterns at high input intensities, a contrast enhancement and short-term memory mechanism, and plastic synaptic strengths that compute a time average of presynaptic signals and postsynaptic activities and multiplicatively gate signals. The mechanisms can generate fields of feature detectors; e.g., line or picture detectors. A developing hierarchy of such fields can be synthesized in which successive critical developmental periods are triggered as a dynamic equilibrium is established between shortterm memory and long-term memory at each stage. Shunting adaptation can account for some data on spatial frequency adaptation. Shunting network properties resemble properties of certain reaction-diffusion systems that have been used to model developmental data in various species; e.g., Hydra, Xenopus retina, slime molds. For example, positional information due to regulation in reaction-diffusion systems is analogous to constancies due to network adaptation, firing of a developmental gradient is analogous to contrast enhancement, and maintenance of a pattern of morphogens is analogous to short-term memory.Supported in part by the Advanced Research Projects Agency (DAHC15-73-C-0320) administered by Computer Corporation America.     

Rare and spatially segregated release sites mediate a synaptic interaction between two identified network neurons.

Laser-scanning confocal microscopy (LSCM), electron microcopy (EM), and cellular electrophysiology were used in combination to study the structural basis of an inhibitory synapse between two identified neurons of the same network. To achieve this, we examined the chemical inhibitory synapse between identified neurons belonging to the lobster (Homarus gammarus) pyloric network: the pyloric dilator (PD) and the lateral pyloric (LP) neurons. In order to visualize simultaneously these two neurons, we used intrasomatic injection of Lucifer Yellow (LY) in one and rhodamine/horseradish peroxydase (HRP) in the other. Under LSCM, we found only two zones of close apposition in a restricted part of the neuritic tree of the two network neurons. Then, within these two zones, the synaptic release sites were searched using EM. To this end, photoconversion of LY with immunogold and development of HRP with DAB were performed on the previously observed preparations. Structural evidence was found for only one release site per zone. To confirm this result, and because the zones of contact were always segregated in a restricted part of the dendrites, we used laser photoablation to selectively delete, either pre- or postsynaptically, the branches on which the release sites were located. In both cases, such restrictive ablation completely abolished the functional interaction between these neurons. Our results therefore demonstrate that an inhibitory synapse that is essential for the operation of a neural network relies on only very few sites of contact localized in a highly restricted part of each neuron's dendritic arbor.     

Activation of command fibres to the stomatogastric ganglion by input from a gastric mill proprioceptor in the crab,Cancer pagurus †

In semi‐intact preparations of the crab Cancer pagurus the normal output from the stomatogastric ganglion (StG) was a regular pyloric cycle (Figure 4). Repeated stimulation of the posterior stomach nerve (psn) of the posterior gastric mill proprioceptor (PSR) often induced series of spontaneous gastric cycles. We were therefore able to describe the normal gastric cycle as recorded in the output nerves from StG and to identify most of the relevant motor neurones by reference to the muscles that they innervate (Figure 10). The gastric cycle output was variable (Figures 5, 6), although in many preparations one complex type of output predominated (Figure 7). The basic feature of the gastric cycle was an alternation of activity between the single cardio‐pyloric neurone (CP) and a complex variable burst in the lateral cardiac (LC), the gastro‐pyloric (GP), the gastric (GM), and other associated neurones. During this normally occurring complex gastric burst significant changes occurred in the pyloric cycle, notably an increase in activity of the pacemaker pyloric dilator (PD) group and an inhibition of the lateral pyloric (LP), inferior cardiac (IC) and ventricular dilator (VD) neurones (Figures 6, 7, 8, 9). These changes are probably associated with an opening of the cardio‐pyloric valve and food passage into the pyloric filter. The gastric output was related to the normally observed movements of the dorsal ossicles of the gastric mill and thus to the operation of the teeth of the mill (Figure 11). Increased input from the PSR is associated with the grinding action of the teeth which is caused by the complex gastric burst (Figure 12).

Stimulation of the psn during an ongoing regular pyloric output caused changes in the cycle which mimicked those occurring during the spontaneous gastric cycle (Figure 13; Table 1). Stimulation of the psn during ongoing gastric activity also affected the gastric units (Figure 14). The input pathway from the PSR is shown to be through the stomatogastric nerve (sgn), the connection between the commissural ganglia and the stomatogastric ganglion (Figure 15). The commissural ganglia are known to receive most of the sensory input from the foregut and PSR input is probably processed there. Recordings from the sgn show that psn stimulation activates a small number of centrally originating units, and that the activity of these units coincides with the pyloric output changes (Figures 15, 16). We therefore label the units command interneurones. Their effects could be mediated by direct connections to only the PD pacemaker neurones of the pyloric cycle. Control experiments showed that PSR input is not necessary for the pyloric output changes to occur during gastric output but that similar output changes can be evoked by input resulting from induced gastric movements (Figure 15(E)). We think that the pyloric cycle output changes are normally controlled by a number of mechanisms at different levels (Figure 17). We cannot easily explain the effects of PSR input on the gastric cycle neurones.

These findings are important because they allow us to study a specific input to the StG without disrupting its normal input‐output pathways to the central nervous system. Further experiments on the system designed to test the assumption that the sgn units are in fact responsible for the pyloric output changes, and to investigate the processing of the PSR input are outlined.     

A modeling comparison of projection neuron- and neuromodulator-elicited oscillations in a central pattern generating network

Many central pattern generating networks are influenced by synaptic input from modulatory projection neurons. The network response to a projection neuron is sometimes mimicked by bath applying the neuronally-released modulator, despite the absence of network interactions with the projection neuron. One interesting example occurs in the crab stomatogastric ganglion (STG), where bath applying the neuropeptide pyrokinin (PK) elicits a gastric mill rhythm which is similar to that elicited by the projection neuron modulatory commissural neuron 1 (MCN1), despite the absence of PK in MCN1 and the fact that MCN1 is not active during the PK-elicited rhythm. MCN1 terminals have fast and slow synaptic actions on the gastric mill network and are presynaptically inhibited by this network in the STG. These local connections are inactive in the PK-elicited rhythm, and the mechanism underlying this rhythm is unknown. We use mathematical and biophysically-realistic modeling to propose potential mechanisms by which PK can elicit a gastric mill rhythm that is similar to the MCN1-elicited rhythm. We analyze slow-wave network oscillations using simplified mathematical models and, in parallel, develop biophysically-realistic models that account for fast, action potential-driven oscillations and some spatial structure of the network neurons. Our results illustrate how the actions of bath-applied neuromodulators can mimic those of descending projection neurons through mathematically similar but physiologically distinct mechanisms.     

Rare and spatially segregated release sites mediate a synaptic interaction between two identified network neurons

Laser‐scanning confocal microscopy (LSCM), electron microcopy (EM), and cellular electrophysiology were used in combination to study the structural basis of an inhibitory synapse between two identified neurons of the same network. To achieve this, we examined the chemical inhibitory synapse between identified neurons belonging to the lobster (Homarus gammarus) pyloric network: the pyloric dilator (PD) and the lateral pyloric (LP) neurons. In order to visualize simultaneously these two neurons, we used intrasomatic injection of Lucifer Yellow (LY) in one and rhodamine/horseradish peroxydase (HRP) in the other. Under LSCM, we found only two zones of close apposition in a restricted part of the neuritic tree of the two network neurons. Then, within these two zones, the synaptic release sites were searched using EM. To this end, photoconversion of LY with immunogold and development of HRP with DAB were performed on the previously observed preparations. Structural evidence was found for only one release site per zone. To confirm this result, and because the zones of contact were always segregated in a restricted part of the dendrites, we used laser photoablation to selectively delete, either pre‐ or postsynaptically, the branches on which the release sites were located. In both cases, such restrictive ablation completely abolished the functional interaction between these neurons. Our results therefore demonstrate that an inhibitory synapse that is essential for the operation of a neural network relies on only very few sites of contact localized in a highly restricted part of each neuron's dendritic arbor. © 2002 Wiley Periodicals, Inc. J Neurobiol 50: 150–163, 2002; DOI 10.1002/neu.10023     

The innervation of the pyloric region of the crab,Cancer borealis: Homologous muscles in decapod species are differently innervated

Summary The muscles of the pyloric region of the stomach of the crab,Cancer borealis, are innervated by motorneurons found in the stomatogastric ganglion (STG). Electrophysiological recording and stimulating techniques were used to study the detailed pattern of innervation of the pyloric region muscles. Although there are two Pyloric Dilator (PD) motorneurons in lobsters, previous work reported four PD motorneurons in the crab STG (Dando et al. 1974; Hermann 1979a, b). We now find that only two of the crab PD neurons innervate muscles homologous to those innervated by the PD neurons in the lobster,Panulirus interrruptus. The remaining two PD neurons innervate muscles that are innervated by pyloric (PY) neurons inP. interruptus. The innervation patterns of the Lateral Pyloric (LP), Ventricular Dilator (VD), Inferior Cardiac (IC), and PY neurons were also determined and compared with those previously reported in lobsters. Responses of the muscles of the pyloric region to the neurotransmitters, acetylcholine (ACh) and glutamate, were determined by application of exogenous cholinergic agonists and glutamate. The effect of the cholinergic antagonist, curare, on the amplitude of the excitatory junctional potentials (EJPs) evoked by stimulation of the pyloric motor nerves was measured. These experiments suggest that the differences in innervation pattern of the pyloric muscles seen in crab and lobsters are also associated with a change in the neurotransmitter active on these muscles. Possible implications of these findings for phylogenetic relations of decapod crustaceans and for the evolution of neural circuits are discussed.Abbreviations ACh acetylcholine - Carb carbamylcholine - cpv muscles of the cardio-pyloric valve - cpv7n nerve innervating muscle cpv7 - cv muscles of the ventral cardiac ossicles - cv1n nerve innervating muscle cvl - cv2n nerve innervating muscle cv2 - EJP excitatory junctional potential - IC inferior cardiac neuron - IV inferior ventricular neuron - IVN inferior ventricular nerve - LP lateral pyloric neuron - LPG lateral posterior gastric neuron - lvn lateral ventricular nerve - mvn medial ventricular nerve - p muscles of the pylorus - PD pyloric dilator neuron - PD _in intrinsic PD neuron - PD _ex extrinsic PD neuron - pdn pyloric dilator nerve - PY pyloric neuron - pyn pyloric nerve - STG stomatogastric ganglion - VD ventricular dilator neuron     

Emergent mechanisms in multiple pattern generation of the lobster pyloric network

By using a hard-wired oscillator network, multiple pattern generation of the lobster pyloric network is simulated. The network model is constructed using a relaxation oscillator representing an oscillatory or quiescent (i.e. steady-state) neuron. Modulatory inputs to the network are hypothesized to cause changes in the dynamical properties of each pyloric neuron: the oscillatory frequency, the postinhibitory rebound property, and the resting membrane potential. Changes in each of these properties are induced by changing appropriate parameters of the oscillator. By changing seven parameters of the network as a whole, modulatory input-dependent patterns are successfully simulated. Received: 13 July 1999 / Accepted in revised form: 17 December 1999     

Motor pattern generation of the posterior cardiac plate-pyloric system in the stomatogastric ganglion of the mantis shrimp Squilla oratoria

Activity patterns of the constituent neurons of the posterior cardiac plate-pyloric system in the stomatogastric ganglion of the mantis shrimp Squilla oratoria were studied by recording spontaneous burst discharges intracellularly from neuronal somata. These neurons were identified electrophysiologically, and synaptic connections among them were qualitatively analysed. The posterior cardiac plate constrictor, pyloric constrictor, pyloric dilator and ventricular dilator motoneurons, and the pyloric interneuron were involved in the posterior cardiac plate-pyloric system. All the cell types could produce slow burst-forming potentials which led to repetitive spike discharges. These neurons generated sequentially patterned outputs. Most commonly, the posterior cardiac plate neuron activity was followed by the activity of pyloric constrictor neurons, and then by the activity of pyloric dilator/pyloric interneuron, and ventricular dilator neurons. The motoneurons and interneuron in the posterior cardiac plate-pyloric system were connected to each other either by electrical or by inhibitory chemical synapses, and thus constructed the neural circuit characterized by a wiring diagram which was structurally similar to the pyloric circuit of decapods. The circuitry in the stomatogastric ganglion was strongly conserved during evolution between stomatopods and decapods, despite significant changes in the peripheral structure of the foregut. There were more electrical synapses in stomatopods, and more reciprocal inhibitory synapses in decapods.Abbreviations EJP excitatory junctional potential - IPSP inhibitory postsynaptic potential - CoG commissural ganglion - CPG central pattern generator - ion inferior oesophageal nerve - OG oesophageal ganglion - pcp posterior cardiac plate - son superior oesophageal nerve - STG stomatogastric ganglion - stn stomatogastric nerve - PY pyloric constrictor - PD pyloric dilator - VD ventricular dilator - AB pyloric interneuron - lvn lateral ventricular nerves - tcpm transverse cardiac plate muscle     

Cellular properties and modulation of the stomatogastric ganglion neurons of a stomatopod,Squilla oratoria

Cellular properties and modulation of the identified neurons of the posterior cardiac plate-pyloric system in the stomatogastric ganglion of a stomatopod, Squilla oratoria, were studied electrophysiologically. Each class of neurons involved in the cyclic bursting activity was able to trigger an endogenous, slow depolarizing potential (termed a driver potential) which sustained bursting. Endogenous oscillatory properties were demonstrated by the phase reset behavior in response to brief stimuli during ongoing rhythm. The driver potential was produced by membrane voltage-dependent activation and terminated by an active repolarization. Striking enhancement of bursting properties of all the cell types was induced by synaptic activation via extrinsic nerves, seen as increases in amplitude or duration of driver potentials, spiking rate during a burst, and bursting rate. The motor pattern produced under the influence of extrinsic modulatory inputs continued for a long time, relative to that in the absence of activation of modulatory inputs. Voltage-dependent conductance mechanisms underlying postinhibitory rebound and driver potential responses were modified by inputs. It is concluded that endogenous cellular properties, as well as synaptic circuitry and extrinsic inputs, contribute to generation of the rhythmic motor pattern, and that a motor system and its component neurons have been highly conserved during evolution between stomatopods and decapods.Abbreviations AB anterior burster neuron - CoG commissural ganglion - CPG central pattern generator - lvn lateral ventricular nerve - OG oesophageal ganglion - pcp posterior cardiac plate - PCP pcp constrictor neuron - PD pyloric dilator neuron - PY pyloric constrictor neuron - son superior oesophageal nerve - STG stomatogastric ganglion - stn stomatogastric nerve     

Organization of the stomatogastric ganglion of the spiny lobster

Summary Three direct synaptic connections occur between neurons in the gastric and pyloric systems of the stomatogastric ganglion ofPanulirus interruptus. Two synapses are inhibitory, and one is electrical. This electrical synapse is both excitatory and inhibitory at different times. These synapses, and others within each system, let the two systems interact under some conditions. The synapses also form multisynaptic pathways which modulate the firing of many neurons in both systems. The consequences of these multisynaptic pathways are described and discussed.I thank Allen I. Selverston, Karen Sigvardt, Eve Marder, David Russell and Mary Chamberlin for criticizing a draft of this paper, Forrest Gompf and Doug Tissdale for technical support, and Nina Pollack and Betty Jorgensen for laboratory assistance. The research was supported by USPHS grant NS-12295 to BM and USPHS grant NS-09322 to Alien I. Selverston. BM was a USPHS NIH Postdoctoral Fellow in A.I. Selverston's laboratory during part of this research and is now a Research Fellow of the Alfred P. Sloan Foundation.     

Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks

We describe four different mechanisms that lead to oscillations in a network of two reciprocally inhibitory cells. In two cases (intrinsic release and intrinsic escape) the frequency of the network oscillation is insensitive to the threshold voltage of the synaptic potentials. In the other two cases (synaptic release and synaptic escape) the network frequency is strongly determined by the threshold voltage of the synaptic connections. The distinction between the different mechanisms blurs as the function describing synaptic activation becomes less steep and as the model neurons are removed from the relaxation regime. These mechanisms provide insight into the parameters that control network frequency in motor systems that depend on reciprocal inhibition.     

Lateral neural borders as precursors of peripheral nervous systems: A comparative view across bilaterians

The nervous systems in most bilaterians are centralized, composed of central nervous systems (CNS) and peripheral nervous systems (PNS). Common molecular and cellular patterns of medial nerve cords have been observed in various distantly related bilaterians, suggesting deep homology of CNS. The development patterns of PNS, however, are more diverse than CNS across different phylogenetic lineages and the evolution of PNS so far has been thought to be polygenic. The molecular and cellular programs during the development of PNS among different bilaterian branches are drastically different. For example, vertebrate PNS is essentially derived from neural crest cells and placodes, which are largely vertebrate innovations and do not exist in invertebrates. On the other hand, the lack of common precursor cell types does not necessarily lead to the conclusion of different evolutionary origins. Homology needs to be examined with a deeper and broader scope. In this review, we examined the molecular, cellular and developmental characteristics of PNS in a broad range of bilaterians to summarize our current understanding of variation and potentially conserved themes. These comparisons demonstrate that there exist both migratory and non-migratory neuroblasts in the lateral border of CNS precursors in most model bilaterian animals. These lateral border neuroblasts are specified by conserved gene regulatory network and give rise to sensory neurons, suggesting that lateral border neuroblasts represent the progenitor of PNS and share deep homology among different branches of Bilateria. Future studies are needed to elucidate the evo-devo mechanisms of the lateral neural borders as PNS progenitors.