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Place cells can flexibly terminate and develop their spatial firing. A new theory for their function.

In this study, hippocampal place cells were recorded in a behavioral paradigm previously not employed in place-cell research. Rats were exposed to the same fixed environment for as long as 8-24 h without interruption, while the firing of CA1 and CA3 place cells was monitored continuously. The first finding was that all place cells that were detected at the beginning of the recording sessions ceased to produce location-specific firing in their original firing fields within 2-12 h. This was observed despite the fact that the animals kept visiting the original firing fields, the hippocampal EEG was virtually unchanged, and the discriminated action potentials of the cells could be clearly recorded. The second finding was that some complex-spike cells that produced no spatially selective firing pattern at the beginning of the recording sessions developed location-specific discharges within 3-12 h. Thus, place cells can flexibly terminate and develop their spatial firing. even in a fixed environment and during similar behaviors, if that environment is explored continuously for a prolonged period. To explain this phenomenon, a new place-cell theory is outlined. Accordingly, the high-frequency discharges of these neurons may serve to create, under multiple extrahippocampal control and within limited periods, stable engrams for specific spatial sites in the association cortex where the cognitive map probably resides. After the creation of a stable engram, or in the absence of favorable extrahippocampal inputs, place cells may suspend their location-specific firing in the original field, and initiate the processing of another spatial site.

Animals↗

Effects of forest fire on the level and distribution of PCDD/Fs and PAHs in soil.

Forest fires are believed to produce polychlorinated dibenzo-p-dioxins and dibenzofurans (PCDD/Fs); however, there is no firm evidence supporting this conjecture. To address this issue, we investigated whether PCDD/Fs and polycyclic aromatic hydrocarbons (PAHs) are formed by forest fires. The present work takes the indirect approach of measuring the levels of PCDD/Fs and PAHs in soil and ash samples 1, 5 and 9 months after forest fires. To determine if PCDD/Fs or PAHs were formed during forest fires, the levels of PCDD/Fs and PAHs measured in the burnt soil samples were compared with those in the corresponding unburnt soil samples. One month after forest fires, the concentrations of PCDD/Fs and PAHs in burnt soils were higher than in the corresponding unburnt soils. In addition, the homologue profiles differed between the burnt and unburnt soils. Five months after forest fires, however, the concentrations of PCDD/Fs and PAHs in the burnt soils were similar to those in unburnt soils. The data presented here strongly suggest that PCDD/Fs and PAHs form during forest fires and are then introduced into the soil. The results further suggest that the ash resulting from the combustion of wood and other organic matter is the main agent influencing the concentration of PCDD/Fs and PAHs in the soil.

Journal Article↗

Stress-relieving and porcelain firing cycle influence on marginal fit of commercially pure titanium and titanium-aluminum-vanadium copings.

OBJECTIVES: This study evaluated: (1) the marginal fit of copings fabricated from commercially pure titanium (cp Ti) and titanium-aluminum-vanadium alloy (Ti-6Al-4V) after each firing cycle for a recommended porcelain; and (2) the effectiveness of a stress-relieving treatment on the fit. The results were compared with copings made with Pd-Ag alloy submitted to the recommended porcelain firing protocol. METHODS: Bovine teeth were machined for metal-ceramic crowns and die casts were obtained for waxing patterns. The firing cycle of titanium porcelain was performed on cp Ti and Ti-6Al-4V copings obtained using the Rematitan System. A stress-relieving treatment (cp Ti treated and Ti-6Al-4V treated groups) was performed on original invested castings at the first porcelain firing temperature (800 degrees C). Fit (microm) was measured in the 'as cast' condition and after each porcelain firing cycle with a traveling microscope. The values were compared using the analysis of variance and Tukey's test (P<0.05), the Pd-Ag group was compared to titanium groups using Dunnett's test (P<0.05). RESULTS: The marginal fit values in the as-cast condition (initial) were 84.43 microm for Ti-6Al-4V not treated, 76.35 microm for Ti-6Al-4V treated, 86.09 microm for cp Ti not treated, 97.66 microm for cp Ti treated and 58.11 microm for Pd-Ag group. The Ti-6Al-4V, cp Ti, and Pd-Ag groups exhibit significant differences in marginal fit values when the as-cast condition (initial) was compared with those after the recommended porcelain firing protocol (by Tukey's test at 5% probability level). No significant differences were observed between stress-relieving treated and not treated groups.Significance. The firing cycles used for porcelain build-up may worsen the fit of titanium copings to values that suggest no inferences to the detriment of clinical applications.

Alloys↗

A melanocortin agonist reduces neuronal firing rate in rat hypothalamic slices.

Bath application of alpha-melanocyte stimulating hormone (alpha-MSH) to rat hypothalamic slices inhibited the spontaneous firing rate of continuously firing neurons in the ventromedial hypothalamic nucleus or paraventricular nucleus. This inhibitory effect is most likely direct and independent of synaptic transmission. The alpha-MSH-responsive neurons tested did not respond to neuropeptide Y (NPY) application. On the other hand, alpha-MSH did not inhibit the intraburst firing rate of phasic bursting neurons, although these bursting neurons were highly responsive to a serotonin 5HT2a/2b/2c agonist with a change of firing pattern to continuous firing and an increase in firing rate which was reversed by NPY. These results suggest that a change of neuronal firing rate may represent a neural correlate of satiety induced by anorexic agents.

Action Potentials↗

Effects of pinealectomy on SCN electrical firing rhythm in Djungarian hamsters.

Djungarian hamsters (Phodopus sungorus) from a long day photoperiod (16:8 h light-dark cycle) were either pinealectomized (PINX; n = 7) or sham-pinealectomized (SHAM; n = 6). One week after surgery coronal brain slices (500 microm), containing the suprachiasmatic nucleus (SCN), were prepared. The firing-rate rhythm of SCN neurons was recorded over at least a 22 h period. The amplitude of the firing rhythm for SHAM slices (3.42 +/- 0.26 Hz) was not significantly different from PINX slices (3.45 +/- 0.29 Hz). Maxima and minima of the firing rhythms also could not be distinguished statistically between PINX and SHAM groups. However, two-way ANOVA of 2 h firing-rate averages indicated a statistically significant effect of pinealectomy on the firing rhythm (P < 0.01). The results show that pinealectomy one week prior to brain slice preparation only had a minor effect on the in vitro neuronal firing rhythm in the SCN. In this study, SCN firing-rate rhythm in the Djungarian hamster is largely independent of endogenous melatonin secretion.

Analysis of Variance↗

Ionic mechanisms involved in the spontaneous firing of tegmental pedunculopontine nucleus neurons of the rat.

We have previously defined three types of tegmental pedunculopontine nuclei neurons based on their electrophysiological characteristics: Type I neurons characterized by low-threshold Ca2+ spikes, Type II neurons which displayed a transient outward current (A-current), and Type III neurons having neither low-threshold spikes nor A-current [Kang Y. and Kitai S. T. (1990) Brain Res. 535, 79-95]. In this report, ionic mechanisms underlying repetitive firing of Type I (n=15) and Type II (n=69) neurons were studied in in vitro slice preparations. Type I neurons did not fire rhythmically but their spontaneous firing frequency ranged from 0 to 19.5 spikes/s (mean 9.7 spikes/s). The spontaneous firing of Type II neurons was rhythmic, with a mean frequency of 9.6 spikes/s (range 3.5-16.0 spikes/s). Choline acetyltransferase immunohistochemistry combined with biocytin labeling indicated that none of the Type I neurons were immunopositive to choline acetyltransferase, while 60% (42 of 69) of Type II neurons were immunopositive. There was no apparent difference in the electrophysiological membrane properties of immunopositive and immunonegative Type II neurons. At membrane potentials subthreshold for Na+ spikes (-50 mV), spontaneous membrane oscillations (11.6 Hz) were observed: these underlie the spontaneous repetitive firing of Type I neurons. The subthreshold membrane oscillation was tetrodotoxin sensitive but was not affected by Ca2+-free medium. A similar tetrodotoxin-sensitive subthreshold membrane oscillation (10.5 Hz) was also observed in Type II neurons. However, in Type II neurons a membrane oscillation was also observed at higher membrane potentials (-50 mV). This high-threshold oscillation was insensitive to tetrodotoxin and Na+-free medium, but was eliminated in Ca2+-free conditions. The amplitude and frequency of the high-threshold oscillation was increased upon membrane depolarization. At the most prominent oscillatory level (around -40 mV), the high-threshold oscillation had a mean frequency of 8.8 Hz. The high-threshold Ca2+ spike was triggered from the peak potential (-35 to -30mV) of the high-threshold oscillation. Application of tetraethylammonium chloride (< 5 mM) increased the amplitude of the high-threshold oscillation, while nifedipine greatly attenuated the high-threshold oscillation without changing the shape of the high-threshold Ca2+ spike. Application of Cd2+ eliminated both the high-threshold oscillation and the high-threshold Ca2+ spike, and omega-conotoxin reduced the size of the high-threshold Ca2+ spike without affecting the frequency of the high-threshold oscillation. Nickel did not have any effect on either the high-threshold oscillation or the high-threshold Ca2+ spike. These data suggest an involvement of N- and L-type Ca2+ channels in the generation of the high-threshold oscillation and the high-threshold Ca2+ spike, respectively. The results indicate that a persistent Na+ conductance plays a crucial role in the subthreshold membrane oscillation, which underlies spontaneous repetitive firing in Type I neurons. On the other hand, in addition to a persistent Na+ conductance for subthreshold membrane oscillation, a voltage-dependent Ca2+ conductance with Ca2+-dependent K+ conductance (for the high-threshold oscillation) may be responsible for rhythmic firing of Type II neurons.

Animals↗

Hippocampal cell firing correlates of delayed-match-to-sample performance in the rat.

Hippocampal CA1 and CA3 neurons were recorded in rats performing a delayed-match-to-sample (DMTS) task. Complex spike cells showed significant firing peaks following sample and match responses and during delivery of water reward. Individual cells were classified into 4 subtypes according to the presence or absence of firing in each of these 3 phases. There were significant differences in delay interval firing among the 4 subtypes, but firing during the delay did not predict the correct response: 34% of the cells showed a linear change in firing during the delay. Further analyses revealed significant lever position firing biases in approximately 70% of the cells tested irrespective of subtype. The complexity of firing correlates of the neurons recorded in this DMTS task suggests that the hippocampus divides specific aspects of the performance demands of the task across different cell subtypes, which together provide sufficient information to resolve the matching-to-sample problem on any given trial.

Animals↗

Analgesic and sedative concentrations of lignocaine shunt tonic and burst firing in thalamocortical neurones.

The effects of lignocaine [lidocaine] HCl (0.6 microM(-1) mM) on the membrane electrical properties and action potential firing of neurones of the ventral posterolateral (VPL) nucleus of the thalamus were investigated using whole cell recording techniques in rat brain slices in vitro. Bath application of lignocaine reversibly decreased the input resistance (Ri) of VPL neurones. This effect was observed at low, clinically sedative and analgesic concentrations (i.e., maximal amplitude at 10 microM) whereas higher concentrations (300 microM(-1) mM) had no effect on Ri. Lignocaine (10-100 microM) depolarized VPL neurones up to 14 mV in a reversible manner. Consistent with a decreased Ri, low concentrations of lignocaine shunted the current required for spike generation in the tonic pattern. Lignocaine increased the threshold amplitude of current required for firing and decreased the tonic firing frequency, without concomitant elevation of the voltage threshold for firing or reduction in the maximal rate of rise (dV/dt(max)) of spikes. Low concentrations of lignocaine shunted low threshold spike (LTS) burst firing evoked either from hyperpolarized potentials or as rebound bursts on depolarization from prepulse-conditioned potentials. Higher concentrations of lignocaine (300 microM - 1 mM), not associated with a decrease in Ri, elevated the voltage threshold for firing and reduced the dV/dt(max) of spikes in a concentration-dependent fashion. In conclusion, low concentrations of lignocaine shunted tonic and burst firing in VPL neurones by decreasing Ri, a mechanism not previously described for local anaesthetics in the CNS. We suggest that a decreased resistance in thalamocortical neurones contributes to the sedative, analgesic, and anaesthetic properties of systemic lignocaine in vivo.

Analgesics, Non-Narcotic↗

The laterodorsal tegmentum is essential for burst firing of ventral tegmental area dopamine neurons.

In response to behaviorally salient stimuli, dopamine (DA) neurons fire in bursts. Burst firing induces a large transient increase in synaptic DA and is regarded as the functionally relevant mode of transmission that signals reward and modulates goal-directed behavior. DA neuron burst firing is dynamically regulated by afferent inputs, and it is not present in vitro because of severing of afferent processes. However, what afferents are requisite for burst firing in vivo is not known. Here, we show that tonic input from the laterodorsal tegmental nucleus (LDTg) is required for glutamate-elicited burst firing in ventral tegmental area DA neurons of anesthetized rats. Also, after LDTg inactivation, DA neurons fire as they do in vitro (i.e., as pacemakers); even direct glutamate application fails to cause them to burst fire under these conditions. These data show that the LDTg is critical to normal DA function, and thus, pathology within this region may lead to aberrant DA signaling.

Animals↗

Cooperation of protein kinase A and Ras/ERK signaling pathways is required for AP-1-mediated activation of fibroblast growth factor-inducible response element (FiRE).

Recent studies suggest a crucial role for protein kinase A (PKA) in the regulation of growth factor signaling. However, the effect of PKA on the transcription of growth factor-responsive genes has drawn far less attention. Here we have investigated the signaling mechanisms involved in the activation of an activator protein-1 (AP-1)-driven, growth factor-specific enhancer element, fibroblast growth factor-inducible response element (FiRE). The activation was found to be mediated by three phorbol 12-O-tetradecanoate-13-acetate-response element-related DNA elements of FiRE, including motif 4 and two distinct elements of motif 5 (referred to as M5-1 and M5-2). All three elements were required for full FiRE activity. Stimulation of cells with fibroblast growth factor-2 (FGF-2) induced the binding of AP-1 to motif 4 and M5-2, whereas M5-1 did not show detectable binding. The FGF-2-induced FiRE activation appeared to require cooperational function of the Ras/ERK and PKA pathways. Inhibition of either of the pathways abolished the binding of AP-1 complexes to motif 4 and motif 5 and the subsequent FiRE activation. By contrast, costimulation of cells with FGF-2 and the PKA activator 8-bromo-cyclic AMP increased the binding of AP-1 to FiRE and potentiated the level of transcriptional activity. The cooperational function of these two pathways was confirmed by experiments with cell lines stably expressing 4-hydroxytamoxifen-inducible oncogenic Raf-1 (DeltaRaf-1:ER[DD]). Noticeably, the induction systems showed variations with respect to regulation of AP-1-driven activation of FiRE. These differences were likely to originate from the ability of these two systems to induce the differential activation pattern of the Ras/ERK pathway.

3T3 Cells↗

Control of replication origin density and firing time in Xenopus egg extracts: role of a caffeine-sensitive, ATR-dependent checkpoint.

A strict control of replication origin density and firing time is essential to chromosomal stability. Replication origins in early frog embryos are located at apparently random sequences, are spaced at close ( approximately 10-kb) intervals, and are activated in clusters that fire at different times throughout a very brief S phase. Using molecular combing of DNA from sperm nuclei replicating in Xenopus egg extracts, we show that the temporal order of origin firing can be modulated by the nucleocytoplasmic ratio and the checkpoint-abrogating agent caffeine in the absence of external challenge. Increasing the concentration of nuclei in the extract increases S phase length. Contrary to a previous interpretation, this does not result from a change in local origin spacing but from a spreading of the time over which distinct origin clusters fire and from a decrease in replication fork velocity. Caffeine addition or ATR inhibition with a specific neutralizing antibody increases origin firing early in S phase, suggesting that a checkpoint controls the time of origin firing during unperturbed S phase. Furthermore, fork progression is impaired when excess forks are assembled after caffeine treatment. We also show that caffeine allows more early origin firing with low levels of aphidicolin treatment but not higher levels. We propose that a caffeine-sensitive, ATR-dependent checkpoint adjusts the frequency of initiation to the supply of replication factors and optimizes fork density for safe and efficient chromosomal replication during normal S phase.

Animals↗

Gene structure and transcript analysis of the human and mouse EGF-TM7 molecule, FIRE.

The epidermal growth factor-transmembrane seven (EGF-TM7) family are proteins that express EGF-like domains at their extracellular N-terminus coupled to a classical seven transmembrane (TM7) cassette. Recently, we identified, in mice, a novel member of this family termed FIRE (EMR-4). Here, we present the structure of the mouse and human FIRE genes. The structures of the two genes are strikingly similar, with the positions of the introns, relative to the deduced protein sequences, highly conserved. Moreover, the gene structures are typical of other members of the EGF-TM7 family. Other researchers have identified a point deletion in exon eight of the human FIRE gene, which introduces a frame shift into the cDNA leading to a premature stop codon. Thus, human FIRE is predicted to be expressed only as a soluble protein; even though sequence potentially encoding the TM7 cassette is found in a separate open reading frame of the same mRNA transcript. We explored the possibility that a cell surface expressed form of human FIRE did exist, either as an allelic variant, or as an alternatively spliced transcript. Although, we did identify two alternatively spliced human FIRE transcripts, neither are predicted to express the TM7 cassette. Thus if human FIRE exists, it is likely to be expressed as a soluble secreted molecule.

Alternative Splicing↗

Noise exposure assessment and abatement strategies at an indoor firing range.

Exposure to hazardous impulse noise is common during the firing of weapons at indoor firing ranges. The aims of this study were to characterize the impulse noise environment at a law enforcement firing range; document the insufficiencies found at the range from a health and safety standpoint; and provide noise abatement recommendations to reduce the overall health hazard to the auditory system. Ten shooters conducted a typical live-fire exercise using three different weapons--the Beretta.40 caliber pistol, the Remington.308 caliber shotgun, and the M4.223 caliber assault rifle. Measurements were obtained at 12 different positions throughout the firing range and adjacent areas using dosimeters and sound level meters. Personal and area measurements were recorded to a digital audio tape (DAT) recorder for further spectral analysis. Peak pressure levels inside the firing range reached 163 decibels (dB) in peak pressure. Equivalent sound levels (Leq) ranged from 78 decibels, A-weighted (dBA), in office area adjacent to the range to 122 dBA inside the range. Noise reductions from wall structures ranged from 29-44 dB. Noise abatement strategies ranged from simple noise control measures (such as sealing construction joints and leaks) to elaborate design modifications to eliminate structural-borne sounds using acoustical treatments. Further studies are needed to better characterize the effects of firing weapons in enclosed spaces on hearing and health in general.

Acoustics↗

Origin of the secondary increase in firing probability of human motor neurons following transcranial magnetic stimulation. Studies in healthy subjects, type I hereditary motor and sensory neuropathy and multiple sclerosis.

In tonically active human motor neurons serving upper limb muscles there is a late rise in firing probability following transcranial magnetic stimulation termed the secondary peak (SP). The aim was to study the mechanism of SP and the pathway that mediates it. For this purpose, the response to transcranial magnetic stimulation of 62 repetitively firing low threshold single motor units from upper limb muscles was studied with peri-stimulus time histograms in 8 healthy subjects and in 13 patients with either Type I hereditary motor and sensory neuropathy (HMSN) or multiple sclerosis (MS). Separate peri-stimulus time histograms, constructed for trials in which the motor unit fired in the primary peak (PP) and those in which it fired in SP, showed that SP was not caused by a resumption of firing after the preceding PP. In the first dorsal interosseous muscle, the observed increase in the interval between PP and SP in patients with either HMSN or MS, when compared with healthy subjects, suggested that the pathway mediating SP had both peripheral and central components. Evidence for a peripheral component was substantiated by the observed slope of the line relating the latency of SP in different upper limb muscles to peripheral conduction distance, which was more than 3 times greater than that for PP, and by comparisons in the same motor unit made between the latency of responses to finger taps and to transcranial magnetic stimulation. Evidence for the origin of SP was consistent with a long loop reflex, or with collateral activation of gamma motor neurons and subsequent motor neuron firing from muscle afferent inputs. SP discharges were found to occur earlier than expected on the basis of the spontaneous motor unit firing rate, suggesting that SP was caused by the rising phase of an excitatory post-synaptic potential, rather than by the decay of an inhibitory postsynaptic potential.

Action Potentials↗

Effect of steroid milieu on gonadotropin-releasing hormone-1 neuron firing pattern and luteinizing hormone levels in male mice.

GnRH neuronal function is regulated by gonadal hormone feedback. In males, testosterone can act directly or be converted to either dihydrotestosterone (DHT) or estradiol (E2). We examined central steroid feedback by recording firing of green fluorescent protein (GFP)-identified GnRH neurons in brain slices from male mice that were intact, castrated, or castrated and treated with implants containing DHT, E2, or E2 + DHT. Castration increased LH levels. DHT or E2 alone partially suppressed LH, whereas E2 + DHT reduced LH to intact levels. Despite the inhibitory actions on LH, the combination of E2 + DHT increased GnRH neuron activity relative to other treatments, reflected in mean firing rate, amplitude of peaks in firing rate, and area under the curve of firing rate vs. time. Cluster8 was used to identify peaks in firing activity that may be correlated with hormone release. Castration increased the frequency of peaks in firing rate. Treatment with DHT failed to reduce frequency of these peaks. In contrast, treatment with E2 reduced peak frequency to intact levels. The frequency of peaks in firing rate was intermediate in animals treated with E2 + DHT, perhaps suggesting the activating effects of this combination partially counteracts the inhibitory actions of E2. These data indicate that E2 mediates central negative feedback in males primarily by affecting the pattern of GnRH neuron activity, and that androgens combined with estrogens have a central activating effect on GnRH neurons. The negative feedback induced by E2 + DHT to restore LH to intact levels may mask an excitatory central effect of this combination.

Animals↗

The effects of mechanical compression and hypoxia on nerve root and dorsal root ganglia. An analysis of ectopic firing using an in vitro model.

STUDY DESIGN: This study analyzed in vitro experiments of ectopic firing evoked by mechanical compression or hypoxia of canine lumbar dorsal roots with dorsal root ganglia using an in vitro model. OBJECTIVES: The results were correlated to understand the pathophysiology of radiculopathy, which manifests abnormal sensation and pain. SUMMARY OF BACKGROUND DATA: It has been speculated that blood flow in the nerve root and mechanical compression play major roles in the production of radiculopathy symptoms. However, no precise experimental studies have been conducted on the relationship between these factors and the development of ectopic firing. METHODS: Canine lumbar dorsal roots with dorsal root ganglia were immersed in an oxygenated artificial cerebrospinal fluid, and activity of the nerve root was recorded using bipolar platinum electrodes. Using this model, the effects of quantitative mechanical compression and hypoxia on the ectopic firing were analyzed. RESULTS: When compression was applied, mechanical thresholds for eliciting firing were much lower in dorsal root ganglia than in dorsal roots, and the firing lasted for a longer period in dorsal root ganglia. Under hypoxia, dorsal root ganglia showed firing, and their thresholds from mechanical stimuli decreased significantly. In dorsal roots, impulse propagation was not affected, whereas firing was seen under the hypoxic condition. CONCLUSION: Dorsal root ganglia are highly sensitive to mechanical compression and hypoxia and closely related to abnormal sensations and pain in radiculopathy.

Action Potentials↗

Chronic effects of the nucleus pulposus applied to nerve roots on ectopic firing and conduction velocity.

STUDY DESIGN: This study analyzed the effects of the autologous nucleus pulposus (NP) on nerve root function using electrophysiologic methods. OBJECTIVES: To investigate the chronic effects of the NP applied to nerve roots and dorsal root ganglions (DRGs) on ectopic firing and nerve conduction velocity. SUMMARY OF BACKGROUND DATA: It was reported that ectopic firing in DRGs is involved in abnormal sensation such as sciatica and that ectopic firing was increased shortly after application of the NP to nerve roots. It was also reported that various inflammatory reactions occur around herniated NP clinically, which may affect nerve roots. However, the chronic action of NP on ectopic firing in the stage of inflammatory reaction is unknown. METHODS: Forty-six rats were divided into three groups: nucleus pulposus (NP) group, sham group, and control group. In the NP group the autologous NP was applied to L4 and L5 nerve roots. At 1, 2, 4, and 8 weeks after treatment, antidromically propagated ectopic firing from nerve roots was recorded from the sural nerve, and the nerve conduction velocity between the cauda equina and sciatic nerve was analyzed. The frequencies of ectopic firing in the three groups were compared. The ratios of the nerve conduction velocities on the treatment side and opposite side were compared between the NP and sham groups. RESULTS: The frequency was significantly higher in the NP group than in the sham group at 4 weeks. There were no significant differences among the three groups at 8 weeks. There was no significant difference in the treatment side/opposite side ratio of nerve conduction velocity between the NP and sham groups at any time point. CONCLUSIONS: Increased ectopic firing in the stage of inflammatory reaction to NP may be related to abnormal sensation.

Animals↗

State-dependent fire models and related renewal processes.

We introduce a general class of stochastic processes forced by instantaneous random fires (i.e., jumps) that reset the state variable x to a given value. Since in many physical systems the fire activity is often dependent on the actual value of the state variable, as in the case of natural fires in ecosystems and firing dynamics in neuronal activity, the frequency of fire occurrence is assumed to be state dependent. Such dynamics leads to independent interfire statistics--i.e., to renewal point processes. Various functions relating the frequency of fire occurrence to x(t) are analyzed and compared. The relation between the probabilistic dynamics of x(t) and the interfire statistics is derived and some exact probability distribution of both x(t) and the interfire times are obtained for systems with different degrees of complexity. After studying processes in which the fire activity is coupled only to a deterministic drift, we also analyze processes forced by either additive or multiplicative Gaussian white noise.

Journal Article↗