Estimating the Temporal Interval Entropy of Neuronal Discharge

Reeke, George N.; Coop, Allan D

doi:10.1162/089976604773135050

Cited by 34 publications

(48 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The stability of integrated XII th nerve activity from both wild type and Pet-1 −/− brainstem slices was assessed initially by plotting n versus n+1 Poincaré plots (Nayfeh and Balachandran, 1995;Garfinkel et al, 1997) of interburst interval (analogous to T E in vivo) from a 10 minute continuous recording, as described by Del Negro et al (2002). Subsequently, a measurement of the interval entropy (Reeke and Coop, 2004) was applied to the phasic network XII th nerve to quantify variability in the respiratory timing signal.…”

Section: In Vitro Hypoglossal Nerve Activitymentioning

confidence: 99%

“…The Poincarè analysis suggested that the timing of successive XII th nerve discharges were poorly correlated in the Pet-1 −/− slices. We used interval entropy analysis (Reeke and Coop, 2004) to quantify and compare the variability of interburst intervals in the respiratory neural network between genotypes. This analysis demonstrated that the inter-burst intervals between XII th nerve discharges were significantly more variable in Pet-1 −/− than wild type slices (Fig.…”

Section: Irregular Central Respiratory Rhythm In Pet-1 −/− Neonatesmentioning

confidence: 99%

See 1 more Smart Citation

Arrest of 5HT neuron differentiation delays respiratory maturation and impairs neonatal homeostatic responses to environmental challenges

Erickson¹,

Shafer²,

Rossetti³

et al. 2007

Respiratory Physiology & Neurobiology

View full text Add to dashboard Cite

Serotonin (5HT) is a powerful modulator of respiratory circuitry in vitro but its role in the development of breathing behavior in vivo is poorly understood. Here we show, using 5HT neurondeficient Pet-1 (Pet-1 −/− ) neonates, that serotonergic function is required for the normal timing of postnatal respiratory maturation. Plethysmographic recordings reveal that Pet-1 −/− mice are born with a depressed breathing frequency and a higher incidence of spontaneous and prolonged respiratory pauses relative to wild type littermates. The wild type breathing pattern stabilizes by postnatal day 4.5, while breathing remains depressed, highly irregular, and interrupted more frequently by respiratory pauses in Pet-1 −/− mice. Analysis of in vitro hypoglossal nerve discharge indicates that instabilities in the central respiratory rhythm generator contribute to the abnormal Pet-1 −/− breathing behavior. In addition, the breathing pattern in Pet-1 −/− neonates is susceptible to environmental conditions, and can be further destabilized by brief exposure to hypoxia. By postnatal day 9.5, however, breathing frequency in Pet-1 −/− animals is only slightly depressed compared to wild type, and prolonged respiratory pauses are rare, indicating that the abnormalities seen earlier in the Pet-1 −/− mice are transient. Our findings provide unexpected insight into the development of breathing behavior by demonstrating that defects in 5HT neuron development can extend and exacerbate the period of breathing instability that occurs immediately after birth during which respiratory homeostasis is vulnerable to environmental challenges.

show abstract

Section: In Vitro Hypoglossal Nerve Activitymentioning

confidence: 99%

Section: Irregular Central Respiratory Rhythm In Pet-1 −/− Neonatesmentioning

confidence: 99%

Arrest of 5HT neuron differentiation delays respiratory maturation and impairs neonatal homeostatic responses to environmental challenges

Erickson¹,

Shafer²,

Rossetti³

et al. 2007

Respiratory Physiology & Neurobiology

View full text Add to dashboard Cite

show abstract

“…Because calculating information content in neurophysiological data can encounter problems related to the sizes of temporal bins that are chosen, methods for calculation that include the construction of vector spaces and the estimation of interval entropy from an analytic distribution, methods that avoid bins, have been introduced (24)(25)(26). Additionally, information calculations are not restricted to single neuron action potential sequences and can be applied to sets of firing neurons (27).…”

mentioning

confidence: 99%

Quantitative descriptions of generalized arousal, an elementary function of the vertebrate brain

Quinkert

Vimal

Weil

et al. 2011

Proc. Natl. Acad. Sci. U.S.A.

Self Cite

View full text Add to dashboard Cite

We review a concept of the most primitive, fundamental function of the vertebrate CNS, generalized arousal (GA). Three independent lines of evidence indicate the existence of GA: statistical, genetic, and mechanistic. Here we ask, is this concept amenable to quantitative analysis? Answering in the affirmative, four quantitative approaches have proven useful: (i) factor analysis, (ii) information theory, (iii) deterministic chaos, and (iv) application of a Gaussian equation. It strikes us that, to date, not just one but at least four different quantitative approaches seem necessary for describing different aspects of scientific work on GA. In this brief review, we present a global concept of brain function, generalized arousal (GA), and illustrate the application of four mathematical methods to its description and analysis. Here, in order of the sections below, we (i) use factor analysis to help prove that GA actually exists; (ii) use information theory to characterize stimuli that elicit GA; (iii) resort to the logistic equation to speculate on how GA might make use of nonlinear dynamics; and (iv) having studied GA in the context of the hunger-induced activation of behavior, characterize the behavioral data with a simple Gaussian.We have proposed that the most powerful and essential activity in any vertebrate nervous system is GA (1). As conceived, GA is universal and fundamental, initiating the activation of all behavioral responses in all vertebrate animals. The operational definition of GA is that a more-aroused animal or human is (i) more responsive to sensory stimuli in all modalities; (ii) more active motorically; and (iii) more reactive emotionally (1). GA's performance requirements are listed in Table 1.Evidence for the Existence of GA of the CNS Three independent lines of evidence indicate that generalized CNS arousal actually exists: statistical, genetic, and mechanistic.The first line of evidence derives from recently reported behavioral results that show, statistically, the influence of GA (2). We did several experiments with mice, which tapped all three components of the operational definition of GA: S (sensory alertness) measured as motor activity in response to sensory stimuli of various modalities; M (motor activity) measured as spontaneous home cage motor activity; and E (emotional reactivity) measured as motor activity and freezing behavior in a conditioned fear paradigm. These three parameters did not covary either genetically or phenotypically. We analyzed the data using factor analysis, which probes the covariance structure of a large data set-in our case it tabulates the statistical relations among various arousal-related response measures. Factor analysis as applied here "lets the subject (in our case, a mouse) tell us" the structure of its arousal functions. Application of this analysis to our five sets of experimental data allowed us to estimate the contribution of GA, measured as the most generalized, least specific factor, as revealed by an unrotated covariance matrix and a forced one...

show abstract

“…In particular, we previously found that an analytic methodology for quantifying the interval entropy of neuronal discharge gave considerable insight into the characteristics of patterns of neuronal discharge (13). We have recently extended this methodology to analyze the spatiotemporal and velocity components of the experiment reported here.…”

Section: Discussionmentioning

confidence: 92%

Mathematical analysis of locomotor behavior by mice in a radial maze

Coop¹,

Stavarache²,

Pfaff³

et al. 2006

Proc. Natl. Acad. Sci. U.S.A.

Self Cite

View full text Add to dashboard Cite

We investigated the effects of ␤-estradiol on the locomotor behavior of female mice in a radial maze. Data comprising the total distance traveled during each arm entry were obtained from video records of six consecutive daily recording sessions. Distributions of these data were bimodal for both ovariectomized control and ␤-estradiol-treated ovariectomized subjects. Data were fit with the sum of two gamma probability distributions. Three parameters of the analytic fits were useful for quantifying the effect of ␤-estradiol on locomotor behavior: (i) the sampling distance (median of the total distance traveled during each arm entry in the short-distance peak of a bimodal distribution), (ii) the committed distance (median of the total per-arm-entry distance traveled in the long-distance peak), and (iii) the partition distance (distance represented by the minimum between the two peaks). Analysis showed that for sampling-distance arm entries ␤-estradiol typically had little if any significant effect on female locomotor behavior, whereas it significantly increased the total distance traveled during committed-distance arm entries on the first 2 days of exposure to the empty maze. ␤-Estradiol also increased the ability of females to discriminate between empty maze arms and arms that contained intact or castrated male mice and partially prevented loss of this capacity after removal of the males.analytic fit ͉ bimodal distribution ͉ estrogen ͉ gamma distribution ͉ exploratory behavior A long history of endocrine and behavioral research with rodents has supported the concept that estrogens foster exploratory and other locomotor responses in females with the effect of increasing contacts with reproductively competent males (reviewed in ref. 1). For example, ovariectomized female rats treated with estrogens increased their willingness to cross electrified grids and to choose appropriate arms of mazes to approach males (2, 3). Nerve cell groups supporting such behaviors have been found in rats in the lateral subdivision of the medial preoptic area (4) and in hypothalamic efferents to the midbrain central gray (5). To make use of current techniques in functional genomics, mice would be desirable for this type of experimentation. Direct approaches by female mice to males in a seminatural environment have been described (6). Genomic studies with mice have emphasized the importance of gene products coding for estrogen receptors ␣ and ␤, oxytocin, the oxytocin receptor, and the vasopressin 1a receptor in the control of affiliative (as opposed to aggressive) behaviors (7-10). If estrogens heighten CNS arousal, the behavioral choice by any individual mouse in any particular situation hinges on the balance between sexual attraction and fear (11). Our mathematical analyses, which separate shorter sampling-distance entries into a maze arm from longer committed-distance entries, address this behavioral distinction.Our analysis shows that the locomotor behavior of female mice significantly changes in the presence of estrogens. However, th...

show abstract

Estimating the Temporal Interval Entropy of Neuronal Discharge

Cited by 34 publications

References 66 publications

Arrest of 5HT neuron differentiation delays respiratory maturation and impairs neonatal homeostatic responses to environmental challenges

Arrest of 5HT neuron differentiation delays respiratory maturation and impairs neonatal homeostatic responses to environmental challenges

Quantitative descriptions of generalized arousal, an elementary function of the vertebrate brain

Mathematical analysis of locomotor behavior by mice in a radial maze

Contact Info

Product

Resources

About