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PubMed2005

Pandemic bounds for an epidemic on an infinite lattice.

Exact results have previously been obtained concerning the spread of infection in continuous space contact models describing a class of multi-type epidemics. Pandemic lower and upper bounds were obtained for the spatial final size. Pandemic results have also been obtained for a discrete space model on the integer lattice using an infinite matrix formulation of the final size equations. However, the proof required restrictive constraints to be placed on the model parameters which do not hold in general and will not be valid when infection modifies behaviour. The purpose of this paper is to remove these constraints and give a general proof of the pandemic results for the multi-type epidemic on the lattice Z(N).

Behavior↗
PubMed2003

Multi-detector-row CT angiography of peripheral arteries.

The development of multi-detector-row CT (MDCT), within recent years, dramatically improved image quality and expanded the applications for non-invasive CT angiography. Since the introduction of four-detector-row CT (4-DCT) systems in 1998, MDCT technology has spread rapidly and is now widely available. This technique already meets the requirements for many vascular applications with respect to acquisition speed, anatomical coverage and spatial resolution. The newest MDCT scanners offer the advantages of up to 16 detector rows and gantry rotation as fast as 500 msec, further expanding the possibilities for CT angiography. For the assessment of the aorta and the iliac vessels MDCT has already proven to be superior to single detector CT and comparable to conventional angiography. This article reviews the status of MDCT angiography, including technical aspects, reformation methods and limitations, and clinical applications at the current state of the art.

Angiography↗
PubMed2002

Gap junction remodeling in heart failure.

Gap junctions, clusters of transmembrane channels that link adjoining cells, mediate myocyte-to-myocyte electrical coupling and communication. The component proteins of gap junction channels are termed connexins, and gap-junctional channels composed of different connexin types exhibit different biophysical properties. In common with other tissues, the heart expresses multiple connexin isotypes. Spatially defined patterns of expression of 3 connexin isotypes-connexin43, connexin40, and connexin45-form specific cell-to-cell conduction pathways for the spread of current flow that governs the normal cardiac rhythm. Remodeling of gap junction organization and connexin expression is a conspicuous feature of human congestive heart failure and other cardiac conditions in which there is an arrhythmic tendency. This remodeling may take the form of disturbances in the distribution of gap junctions, in which the normal ordered pathways for cell-to-cell conduction are disrupted, or quantitative alterations in connexin expression, notably reduced connexin43 levels, which may contribute to slowing of conduction. Recent evidence from studies in experimental animals strengthens the case that gap junction remodeling is a key determinant of the proarrhythmic substrate in the diseased heart.

Connexins↗
PubMedDate not supplied

Gap junction remodeling and cardiac arrhythmogenesis: cause or coincidence?

Gap junctions, clusters of transmembrane channels that link adjoining cells, mediate myocyte-to-myocyte electrical coupling and communication. The component proteins of gap junction channels are termed connexins and, in in vitro expression systems, gap-junctional channels composed of different connexin types exhibit different biophysical properties. In common with other tissues, the heart expresses multiple connexin isoforms. Spatially defined patterns of expression of three connexin isoforms - connexin43, connexin40 and connexin45 - form the cell-to-cell conduction pathways responsible for the orderly spread of current flow that governs the normal cardiac rhythm. Remodeling of gap junction organization and connexin expression is a common feature of human heart disease conditions in which there is an arrhythmic tendency. This remodeling may take the form of disturbances in the distribution of gap junctions and/or quantitative alterations in connexin expression, notably reduced ventricular connexin43 levels. The idea that such changes may contribute to the development of a pro-arrhythmic substrate in the diseased heart has gained ground over the last decade. Recent studies using transgenic mice models have raised new opportunities to explore the significance of gap junction remodeling in the diseased heart.

Animals↗
PubMed2004

Role of mossy fiber sprouting and mossy cell loss in hyperexcitability: a network model of the dentate gyrus incorporating cell types and axonal topography.

Mossy cell loss and mossy fiber sprouting are two characteristic consequences of repeated seizures and head trauma. However, their precise contributions to the hyperexcitable state are not well understood. Because it is difficult, and frequently impossible, to independently examine using experimental techniques whether it is the loss of mossy cells or the sprouting of mossy fibers that leads to dentate hyperexcitability, we built a biophysically realistic and anatomically representative computational model of the dentate gyrus to examine this question. The 527-cell model, containing granule, mossy, basket, and hilar cells with axonal projections to the perforant-path termination zone, showed that even weak mossy fiber sprouting (10-15% of the strong sprouting observed in the pilocarpine model of epilepsy) resulted in the spread of seizure-like activity to the adjacent model hippocampal laminae after focal stimulation of the perforant path. The simulations also indicated that the spatially restricted, lamellar distribution of the sprouted mossy fiber contacts reported in in vivo studies was an important factor in sustaining seizure-like activity in the network. In contrast to the robust hyperexcitability-inducing effects of mossy fiber sprouting, removal of mossy cells resulted in decreased granule cell responses to perforant-path activation in agreement with recent experimental data. These results indicate the crucial role of mossy fiber sprouting even in situations where there is only relatively weak mossy fiber sprouting as is the case after moderate concussive experimental head injury.

Animals↗
PubMed1986

Changes in conduction velocity during acute ischemia in ventricular myocardium of the isolated porcine heart.

Conduction velocities along longitudinal (vL) and transverse (vT) fiber axes were determined in isolated porcine hearts from subepicardial activation patterns that were produced by local stimulation and measured with a multiterminal electrode. In some of the experiments extracellular [K+] ([K+]o) and transmembrane potentials were recorded. During normal perfusion vL and vT were (cm/sec) 50.08 +/- 2.13, (SE) and 21.08 +/- 0.97. After 3 to 5 min of global ischemia, vL and vT decreased to approximately 30 and 13 cm/sec. Before the occurrence of total inexcitability propagation became time dependent 2: 1 block developed and centrifugal spread from the stimulus site was partially blocked at short intervals and was normal at long intervals. This suggested that slowed conduction was dependent on spatial nonuniformities of recovery from excitability. Slowing of conduction during ischemia was not explained by accumulation of [K+]o alone, because vL and vT at a given [K+]o were lower during ischemia than during perfusion with elevated K+. In hearts perfused at 20 mM [K+]o "slow responses" were produced by addition of epinephrine (2.5 X 10(-5)M). Resting membrane potentials of slow responses were significantly lower than of depressed action potentials during ischemia. The values vL and vT of slow responses (10 and 5 cm/sec) were much lower than the lowest values during ischemia (20 and 10 cm/sec). This indicates that slow conduction in ischemia is associated with depressed action potentials initiated by a partially inactivated rapid Na+ inward current. The time dependence of nonuniform propagation and the relatively high conduction velocities explain two major characteristics of reentrant tachycardias in acute ischemia: the large diameters of reentrant circuits and the beat-to-beat changes in localization of conduction block.

Action Potentials↗
PubMed1997

Anatomical architecture and electrical activity of the heart.

In most early studies of cardiac electrophysiology, the correlation between propagation of excitation and the architecture of cardiac fibers was not addressed. More recently, it has become apparent that the spread of excitation, the sequence of recovery, the associated time-varying potential distributions and the intra- and extracardiac electrocardiograms are strongly affected by the complex orientation of myocardial fibers. This article is a review of older and very recent, partly unpublished, mathematical simulations and experimental findings that document the relationships between cardiac electrophysiology and fiber structure. Important anatomical factors that affect propagation and recovery are: the elongated shape of myocardial fibers which is the basis for electrical anisotropy; the epi-endocardial rotation of fiber direction in the ventricular walls; the epi-endocardial obliqueness of the fibers ("imbrication angle"), and the conduction system. Due to the complex architecture of the fibers, many different pathways are available to an excitation wavefront as it spreads from a pacing site: the straight line; the multiple, bent pathways resulting from the epi-endocardial rotation of fiber direction; the coiling intramural pathways associated with the "imbrication" angles (Streeter) and the pathways involving the Purkinje network. Only in a few cases is the straight line the fastest pathway. The shape of an excitation wavefront at a given time instant results from the competition between all possible pathways. To compute the potential distributions and ECG waveforms generated by a spreading excitation wave we must know the successive shapes and positions of the wavefront, the architecture of the fibers through which it propagates and the spatial distribution of their anisotropic electrical properties.

Electrophysiology↗
PubMed1998

Expression and function of the type 3 complement receptor in tissues of the developing mouse.

Macrophage (Mphi) expression of the leukocyte integrins has been implicated in their adhesion and migration in the adult. Little is known, however, of the expression or function of these molecules during development. This study defines the spatial and temporal sequences of expression of the type 3 complement receptor (CR3) in the developing mouse; establishes the functional efficacy of this molecule in spreading, adhesion, and phagocytosis; and investigates its role in inflammatory and constitutive migration. Expression of CR3 on monocytes occurred early compared to Mphi-restricted glycoprotein F4/80, but expression on stellate tissue Mphi appeared later than F4/80 and was transient. Expression of CR3 on resident tissue Mphi is more widespread during development, being retained on only very specific Mphi populations in the adult. Neutrophil polymorphs expressed CR3 from day 17 of gestation onward. The anti-CR3 mAb 5C6 was used to investigate the role of CR3 in adhesion, spreading, and phagocytosis by neonatal Mphi. Neonatal macrophages were found to adhere, spread, and phagocytose by CR3-dependent mechanisms, and a CR3-independent system was implicated in the spreading of neonatal Mphi. The role of CR3 in migration during development was then investigated. 5C6 had potent effects on the early stages of the migration of myelomonocytic cells to an inflammatory stimulus in vivo. Despite efficient transplacental transfer of the Ab from pregnant mother to fetus, the process by which monocytes generate populations of resident tissue Mphi was undisrupted, indicating the existence of CR3-independent mechanisms of monocyte migration during development.

Animals↗
PubMed1991

Spatial domains in the developing forebrain: developmental regulation of a restricted cell surface protein.

We have isolated a monoclonal antibody, mAb 52G9, that recognizes a 55-kDa cell surface protein restricted to the early embryonic rat forebrain and to placode-derived structures. In the central nervous system (CNS), 52G9 immunoreactivity appears at Embryonic Day 11 (E11) in the rostral-most area of the telencephalon. It then spreads to the neuroepithelium of the telencephalon and basal diencephalon. Most strikingly, it appears at E14 in a distinct zone at the caudal end of the ventral diencephalic neuroepithelium. This area is sharply defined by strong 52G9 immunoreactivity bounded by unlabeled neuroepithelium. The pattern revealed by 52G9 is the first biochemical demonstration of spatial domains in the forebrain at a time prior to neuronal differentiation. By E18, 52G9 immunoreactivity has progressively disappeared from the forebrain; the glomerular layer of the olfactory bulb is the only 52G9-positive area in the CNS. The olfactory, otic, and hypophyseal placodes, which can be identified as early as E10, are also 52G9 positive as are their derivatives, the sensory epithelial of the nasal passage and inner ear, and also Rathke's pouch. The distribution and regulation of the 52G9 protein suggests that this novel cell surface molecule may be involved in the formation of spatial domains in the developing forebrain.

Animals↗
PubMed1995

Spatial and temporal Ca2+ signalling in articular chondrocytes.

Stimulation of pig articular chondrocytes with either bradykinin, fetal calf serum or the Ca(2+)-ATPase inhibitor thapsigargin induced increases of the cytosolic Ca2+ concentration. By computerized videoimaging, the spatial and temporal aspects of the Ca2+ signal were revealed at single cell level. The cell response depended on Ca2+ release from intracellular stores without significant contribution of Ca2+ influx. A great heterogeneity in the cell population was found with respect to the Ca2+ storage ability. The Ca2+ response initiated in a discrete subcellular region and then spread in a nondecremental fashion to involve the whole cytosol. Such a behaviour was independent of the stimulus applied, thus suggesting a functional heterogeneity of the intracellular Ca2+ stores involved. In the region from which the response started, local Ca2+ spikes were recorded, revealing a spatially restricted pulsatile activity.

Animals↗
PubMed1986

Spread and arrest of seizures: the importance of layer 4 in laminar interactions during neocortical epileptogenesis.

Much of the past investigation of epileptogenesis has centered on characterizing the paroxysmal depolarization shift (PDS) and postulating its origin. Spatial as well as functional analyses of cortical epileptic foci have been few in number, and in nearly all of them fully evolved drug foci, which were used for their stability, probably obscured differences in the responsivity among constituent neuronal populations at earlier stages of epileptic evolution. Proportionately little attention has been directed at determining where penicillin acts within the cortex. For the past 12 years, we have addressed both issues. Specific questions have included, for both individual neurons and neuronal aggregates: what are the initial abnormalities of responsiveness in an acute epileptic focus; how do these abnormalities evolve as the focus develops; is there a differential susceptibility of various neocortical layers to epileptogenesis; how do the various cortical laminar populations interact during epileptogenesis; how do the resultant response abnormalities propagate within and between cortical columns; and what are the effects of anticonvulsants on the various spatial and temporal features of epileptogenesis? In pursuit of this information, we have recorded the evolution of discrete and temporary epileptic foci in cat striate cortex, which were induced by the microinjection or iontophoresis of penicillin into the different cortical layers. Simultaneous, multilaminar responses of individual neurons and of neuronal aggregates to selective visual stimulation have been characterized before, during, and after focus development using multibarrel micropipettes. Correlations between drug diffusion and these multilaminar recordings were made periodically by using 14C-labeled penicillin. Stages: Using these techniques, new characteristics of focal epilepsy come to light that are not apparent in the spontaneous spiking of the typical established penicillin focus. Three successive stages of penicillin-induced epileptogenic abnormality were noted in the responses of isolated neurons: (a) an initial graded enhancement of the primary latency response to field-specific stimuli into a burst discharge (the EPR burst); (b) the subsequent graded development of a longer latency burst in response to field-specific and nonspecific stimuli (the LR burst); and (c) the evolution of a single stereotyped burst discharge (IIS) as the latency separating EPR and LR bursts declined (PDS or LR discharge). Each type of neuronal burst was accompanied by a local field potential of similar latency, but of progressively increasing amplitude, with each successive stage of epileptogenesis.(ABSTRACT TRUNCATED AT 400 WORDS)

Action Potentials↗
PubMed2005

Quantifying the spatial resolution of the gradient echo and spin echo BOLD response at 3 Tesla.

The blood oxygen level dependent (BOLD) response, as measured with fMRI, offers good spatial resolution compared to other non-invasive neuroimaging methods. The use of a spin echo technique rather than the conventional gradient echo technique may further improve the resolution by refocusing static dephasing effects around the larger vessels, so sensitizing the signal to the microvasculature. In this work the width of the point spread function (PSF) of the BOLD response at a field strength of 3 Tesla is compared for these two approaches. A double echo EPI pulse sequence with simultaneous collection of gradient echo and spin echo signal allows a direct comparison of the techniques. Rotating multiple-wedge stimuli of different spatial frequencies are used to estimate the width of the BOLD response. Waves of activation are created on the surface of the visual cortex, which begin to overlap as the wedge separation decreases. The modulation of the BOLD response decreases with increasing spatial frequency in a manner dependent on its width. The spin echo response shows a 13% reduction in the width of the PSF, but at a cost of at least 3-fold reduction in contrast to noise ratio.

Adult↗
PubMed1988

Real-time imaging of evoked activity in local circuits of the salamander olfactory bulb.

The encoding of olfactory information in the central nervous system (CNS) depends on spatially distributed patterns of activity generated simultaneously in many neuronal circuits. Optical neurophysiological recording permits analysis of neural activity non-invasively and with high spatial and temporal resolution. Here, a video method for imaging voltage-sensitive dye fluorescence in vivo is used to map neuronal activity in local circuits of the salamander olfactory bulb. The method permits the imaging of simultaneous ensemble transmembrane activity in real time. After electrical stimulation of the olfactory nerve, activity spreads centripetally from the sites of synaptic input to generate nonhomogeneous response patterns that are presumably mediated by local circuits within the bulbar layers. The results also show the overlapping temporal sequences of activation of cell groups in each layer. The method thus provides high resolution, sequential video images of the spatial and temporal progression of transmembrane events in neuronal circuits after afferent stimulation and offers the opportunity for studying ensemble events in other brain regions.

Animals↗
PubMed1999

Non-invasive detection of the single motor unit action potential by averaging the spatial potential distribution triggered on a spatially filtered motor unit action potential.

For research as well as diagnostic applications the non-invasive detection of the activity of single motor units is of interest. The most direct information is expected to be found in monopolarly recorded data. But when an array of surface electrodes is used for the monopolar recordings of the potential distribution on the skin, in most cases an additional invasive needle electrode is utilized to detect the exact points in time when a certain motor unit is firing. With this supplementary information, an averaging of the monopolar EMG tracings can be performed. In this paper, a completely non-invasive methodology is presented which replaces the invasive needle by a spatial filtering procedure. The EMG signals from the m. biceps brachii are recorded monopolarly with an electrode array. Afterwards, a spatial filtering procedure, called normal double differentiating filter, is applied to the data. The EMG signals obtained are investigated by means of an amplitude threshold to distinguish the activity of different motor units. The point of the maximum amplitude of the selected peaks then is used as trigger point to average the monopolar EMG data. The time courses of the motor unit action potential signals found after applying the described procedure show similar shapes, while two different components are to be identified: corresponding to the spread of the excitation, one is referring to stationary, the other to travelling events. These results justify the possibility to replace the needle electrode to obtain a trigger event in the future by the non-invasive spatial filtering procedure.

Action Potentials↗
PubMed1991

Vectorial sequence of mineralization in the turkey leg tendon determined by electron microscopic imaging.

Turkey leg tendons were used as a model tissue to study the spatial and temporal relationships of mineral deposition between matrix vesicles and collagen fibrils by various electron microscopic techniques--bright field, selected-area dark field (SADF), and electron spectroscopic imaging (ESI). These latter imaging techniques enabled the direct localization and spatial distributions of both apatite crystals and atomic elements (Ca, P) within matrix vesicles and collagen. In longitudinal planes of section, a consistent vectorial gradient of mineralization was observed which started with the first localization of apatite mineral in matrix vesicles; with further development, the mineral spread from the vesicle to the extravesicular interstices and then into the adjacent collagen fibrils. Once intrafibrillar, the mineral was observed to advance both laterally and axially. The association of vesicle/collagen mineral was examined by ESI analysis of Ca and P elemental maps and appeared as a continuum between the vesicles and the adjacent collagen fibrils. Similarly, an intimate spatial relationship was observed between the mineral of vesicles and collagen in transversely cut sections of tendon. The sequential development of this mineralized matrix is discussed in light of matrix vesicle/collagen interactions.

Animals↗
PubMed2004

Temporal and spatial expression patterns of canonical clock genes and clock-controlled genes in the suprachiasmatic nucleus.

In mammals, the suprachiasmatic nuclei (SCN) of the hypothalamus control endogenous circadian rhythms and entrainment to the environment. A core SCN region of calbindin (CalB)-containing cells is retinorecipient and the cells therein lack rhythmic expression of clock genes and electrical activity. The core is surrounded by a 'shell' of rhythmic oscillator cells. In the present experiments, we studied the spatial arrangement of oscillator cells by examining the spatial and temporal patterns of expression of the canonical clock genes Per1, Per2 and vasopressin mRNA, a clock-controlled gene. Surprisingly, in the SCN shell, the dorsomedial cells were the first to rhythmically express both Per1 and VP mRNA, with gene expression then spreading very slowly through much of the nucleus for the next 12 h then receding to baseline levels. Following a light pulse, Per expression increased after 1 h in the core SCN and after 1.5 h in the shell. Although expression in the shell occurred earlier in light-pulsed animals than in those housed in constant darkness, it still followed the same spatial and temporal expression pattern as was observed in constant darkness. The results suggest that not only is the SCN organized into light-responsive and rhythmic regions but also that the rhythmic region of the SCN itself has an ordered arrangement of SCN oscillator cells.

Animals↗
PubMed2002

Combined magnetic resonance imaging and spectroscopic imaging approach to molecular imaging of prostate cancer.

Magnetic resonance spectroscopic imaging (MRSI) provides a noninvasive method of detecting small molecular markers (historically the metabolites choline and citrate) within the cytosol and extracellular spaces of the prostate, and is performed in conjunction with high-resolution anatomic imaging. Recent studies in pre-prostatectomy patients have indicated that the metabolic information provided by MRSI combined with the anatomical information provided by MRI can significantly improve the assessment of cancer location and extent within the prostate, extracapsular spread, and cancer aggressiveness. Additionally, pre- and post-therapy studies have demonstrated the potential of MRI/MRSI to provide a direct measure of the presence and spatial extent of prostate cancer after therapy, a measure of the time course of response, and information concerning the mechanism of therapeutic response. In addition to detecting metabolic biomarkers of disease behavior and therapeutic response, MRI/MRSI guidance can improve tissue selection for ex vivo analysis. High-resolution magic angle spinning ((1)H HR-MAS) spectroscopy provides a full chemical analysis of MRI/MRSI-targeted tissues prior to pathologic and immunohistochemical analyses of the same tissue. Preliminary (1)H HR-MAS spectroscopy studies have already identified unique spectral patterns for healthy glandular and stromal tissues and prostate cancer, determined the composition of the composite in vivo choline peak, and identified the polyamine spermine as a new metabolic marker of prostate cancer. The addition of imaging sequences that provide other functional information within the same exam (dynamic contrast uptake imaging and diffusion-weighted imaging) have also demonstrated the potential to further increase the accuracy of prostate cancer detection and characterization.

Humans↗
PubMed2002

Functionality of divergence and convergence in a model of the insect olfactory system.

Recent studies have shown that the insect olfactory system uses a spatio-temporal encoding of odours in the population of projection neurons in the antennal lobe, and suggest that the information thus coded is spread across a large population of Kenyon cells in the mushroom bodies. At this stage, the temporal part of the code might be transformed into a spatial code, especially via the temporally sensitive mechanisms of paired-pulse facilitation and feedback inhibition with its possible associated rebound. We explore here a simple model of the olfactory system using a three-layer network of formal neurons, comprising a fixed number (three) of projection and inhibitory neurons, but a variable number of Kenyon cells. We show how enlarging the divergence of the network (i.e. the ratio between the number of Kenyon cells to the number of input - projection - neurons) alters the number of different output spatial states in response to a fixed set of spatio-temporal inputs, and may therefore improve its effectiveness in discriminating between these inputs. Such enlarged divergence also reduces the variation of this effectiveness among random realizations of the network connectivity. Our model shows that the discriminative effectiveness first increases with the divergence, and then plateaus for a divergence factor of approximately 20. The maximal average number of different outputs was 470.2, which was computed from some simulations with random realizations of connectivity and with a set of 512 possible inputs. The discriminative effectiveness of the network is sensitive to paired-pulse facilitation, and especially to inhibition with rebound.

Animals↗