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PubMed2001

Synaptic depression mediates bistability in neuronal networks with recurrent inhibitory connectivity.

When depressing synapses are embedded in a circuit composed of a pacemaker neuron and a neuron with no autorhythmic properties, the network can show two modes of oscillation. In one mode the synapses are mostly depressed, and the oscillations are dominated by the properties of the oscillating neuron. In the other mode, the synapses recover from depression, and the oscillations are primarily controlled by the synapses. We demonstrate the two modes of oscillation in a hybrid circuit consisting of a biological pacemaker and a model neuron, reciprocally coupled via model depressing synapses. We show that across a wide range of parameter values this network shows robust bistability of the oscillation mode and that it is possible to switch the network from one mode to the other by injection of a brief current pulse in either neuron. The underlying mechanism for bistability may be present in many types of circuits with reciprocal connections and synaptic depression.

Animals↗
PubMed2005

Bistability and hysteresis in epigenetic regulation of the lactose operon. Since Delbrück, a long series of ignored models.

Bistability is the capacity of a system to switch in an "all-or-none" manner between alternative steady states. This powerful concept originates from the analysis of non-linear equations driving open systems. It is one of the various patterns of regulation associated with a particular class of dynamic structures that Glansdorff and Prigogine baptised "dissipative structures". The idea of discontinuous transitions between alternative states was first formulated much earlier, by Delbrück, in 1949. Cohn and Horibata and Novick and Weiner confirmed that such transitions occur in experiments on the lactose operon carried out ten years later. Modelling with non-linear differential equations made it possible to simulate the dynamic behaviour of the lac operon, and modelling by asynchronous logical analysis elucidated the determinant role played by positive feedback circuits in the emergence of multistationarity. Nevertheless, these studies were largely ignored until the recent demonstration of the hysteretic nature of the bistable transition between alternative states of the lac operon. As originally suggested by Delbrück, the pattern of lactose consumption adopted by the bacterium is controlled epigenetically rather than genetically: the true key determinant is the direction of change of an environmental variable with respect to the structural components of the operon.

Animals↗
PubMed2006

Multipeak distributions of first passage times in bistable dynamics in a model of a thermochemical system.

A master equation is used to study transitions between the stable limit cycle and stable focus in the two-variable bistable system. The distribution function of the mean first passage time between these attractors and the relative dispersion of the mean first return time from the stable focus to itself as a function of the intensity of fluctuations are calculated and discussed. A coherence resonance is observed for the return time from the focus to itself.

Journal Article↗
PubMed2006

In situ electron microscopy electromechanical characterization of a bistable NEMS device.

A previously proposed two-terminal carbon-nanotube-based device with closed-loop feedback is demonstrated through in situ scanning electron microscopy (SEM) experiments. The pull-in/pull-out tests were carried out using a multi-walled carbon nanotube (MWCNT) welded to a conductive probe attached to a nanomanipulator. The MWCNTs were cantilevered over a gold electrode and electrostatically actuated. The measured current-voltage curves exhibited the theoretically predicted hysteretic loop between the pull-in and pull-out processes. Both experiments and theoretical modeling demonstrated the bistability of the device confirming its utility in applications such as memory elements, NEMS switches, and logic devices. Failure mechanisms observed during the pull-in/pull-out event are also reported and discussed.

Electrochemistry↗
PubMed1994

Bistability and the dynamics of periodically forced sensory neurons.

Many neurons at the sensory periphery receive periodic input, and their activity exhibits entrainment to this input in the form of a preferred phase for firing. This article describes a modeling study of neurons which skip a random number of cycles of the stimulus between firings over a large range of input intensities. This behavior was investigated using analog and digital simulations of the motion of a particle in a double-well with noise and sinusoidal forcing. Well residence-time distributions were found to exhibit the main features of the interspike interval histograms (ISIH) measured on real sensory neurons. The conditions under which it is useful to view neurons as simple bistable systems subject to noise are examined by identifying the features of the data which are expected to arise for such systems. This approach is complementary to previous studies of such data based, e.g., on non-homogeneous point processes. Apart from looking at models which form the backbone of excitable models, our work allows us to speculate on the role that stochastic resonance, which can arise in this context, may play in the transmission of sensory information.

Acoustic Stimulation↗
PubMed1989

Bistability and control for ATP synthase and adenylate cyclase is obtained by the removal of substrate inhibition.

The thesis of this article is that the raison d'être of the electron transfer chain and the receptor system is to remove 'substrate inhibition' of the enzymes ATP synthase and adenylate cyclase respectively. Activation by energization or hormone is analogous and presents the features of ideal control system; bistability, hysteresis, sensitivity and amplification, and rapid transitions between resting and active states. In the first part of the article, the simplest nontrivial model conforming with the experimental results is put forward. After the system is described, nonlinear and linear models are developed. An important aspect captured by the model is that the enzyme is structurally asymmetric corresponding to the assumption of regulatory site(s) distinct from catalytic site(s). The structural distinction between a regulatory site and a catalytic site entails different binding and specificity properties of the two types of sites with respect to the nucleotides. In the second part, the experimental evidence for the theory is discussed. It is shown that energization and hormone indeed reduce 'substrate inhibition' and that the properties of time lag and criticality predicted by the theory are indeed verified in experiment and are in turn explained by the theory. The theory can explain and correlate various hitherto unexplained experimental phenomena such as the irreversibility of ATP synthesis and the functional role of the ATP synthase asymmetry. The property of hysteresis predicted by the nonlinear model, is indicated by postillumination ATP synthesis, and preactivation of chloroplasts with reduced dithiols indeed display 'hysteresis loops'. In Aplysia memory for short term sensitization may reside in the hysteretic prolonged elevation of cAMP in sensory neurons.

ATP Synthetase Complexes↗
PubMed1984

Intrinsic membrane properties causing a bistable behaviour of alpha-motoneurones.

In decerebrate cats a train of impulses in Ia afferents may lead to a sustained increase in excitability of alpha-motoneurones of homonymous and heteronymous muscles. It was previously suggested that this long-lasting excitability increase reflects a maintained synaptic input to the motoneurones from excitatory interneurones. With intracellular recording from motoneurones we here demonstrate that the sustained increase of alpha-motoneurone activity is due to an all-or-none plateau depolarization. This plateau can be induced by a short train of excitatory synaptic potentials or a brief, intracellularly injected depolarizing current pulse and is terminated by a short train of inhibitory synaptic potentials or a hyperpolarizing current pulse. It is concluded that maintained motor unit firing triggered by a brief train of impulses in Ia afferent reflects an intrinsic bistable behaviour of alpha-motoneurones.

Animals↗
PubMed2007

Are buffers boring? Uniqueness and asymptotical stability of traveling wave fronts in the buffered bistable system.

Traveling waves of calcium are widely observed under the condition that the free cytosolic calcium is buffered. Thus it is of physiological interest to determine how buffers affect the properties of calcium waves. Here we summarise and extend previous results on the existence, uniqueness and stability of traveling wave solutions of the buffered bistable equation, which is the simplest possible model of the upstroke of a calcium wave. Taken together, the results show that immobile buffers do not change the existence, uniqueness or stability of the traveling wave, while mobile buffers can eliminate a traveling wave. However, if a wave exists in the latter case, it remains unique and stable.

Buffers↗
PubMed2006

The asymptotic behavior of solutions of the buffered bistable system.

In this paper, we study a model for calcium buffering with bistable nonlinearity. We present some results on the stability of equilibrium states and show that there exists a threshold phenomenon in our model. In comparing with the model without buffers, we see that stationary buffers cannot destroy the asymptotic stability of the associated equilibrium states and the threshold phenomenon. Moreover, we also investigate the propagation property of solutions with initial data being a disturbance of one of the stable states which is confined to a half-line. We show that the more stable state will eventually dominate the whole dynamics and that the speed of this propagation (or invading process) is positive.

Animals↗
PubMed2004

Transmission of stimulus-locked responses in two oscillators with bistable coupling.

Numerous electroencephalography (EEG) and magnetoencephalography (MEG) studies aim at identifying the chronological order of activation of brain areas. This paper demonstrates that the timing sequence obtained with the gold standard for EEG/MEG analysis (averaging across trials) may not correlate at all with the actual transmission of a stimulus' effect within a pathway formed by connected brain areas. This is shown by studying transmission of stimulus-locked responses in a model that shares basic features with stimulated neuronal rhythms: in two phase oscillators with bistable coupling and noise one oscillator is stimulated. The model presents a mechanism that causes a response clustering, i.e., a switching between two different responses across trials, without extinction of the averaged response (calculated over all trials). Transmission times are calculated for all trials as well as for the two clusters separately with standard averaged responses and with a stochastic phase resetting analysis. The stochastic phase resetting analysis provides reliable estimates of the transmission time. In contrast, transmission times calculated by averaging across trials correspond to the phase difference in the different stable synchronized states (when calculated for the two clusters separately) or their weighted superposition (when calculated over all trials). The standard method does not detect the time elapsing during the transmission of the stimulus' action. The results presented here call into question many findings reported in the evoked response literature.

Brain↗
PubMed2000

Self-organized dynamics in plastic neural networks: bistability and coherence.

In this paper, we study the combined dynamics of the neural activity and the synaptic efficiency changes in a fully connected network of biologically realistic neurons with simple synaptic plasticity dynamics including both potentiation and depression. Using a mean-field of technique, we analyzed the equilibrium states of neural networks with dynamic synaptic connections and found a class of bistable networks. For this class of networks, one of the stable equilibrium states shows strong connectivity and coherent responses to external input. In the other stable equilibrium, the network is loosely connected and responds non coherently to external input. Transitions between the two states can be achieved by positively or negatively correlated external inputs. Such networks can therefore switch between their phases according to the statistical properties of the external input. Non-coherent input can only "rcad" the state of the network, while a correlated one can change its state. We speculate that this property, specific for plastic neural networks, can give a clue to understand fully unsupervised learning models.

Animals↗
PubMed1981

Monoptic and dichoptic signals do not cooperate in the perception of a bistable motion display.

Two new conditions of presentation of a bistable motion display are studied, where a competition between monoptic and monoptic plus dichoptic information is supposed to be involved. Data contradict the expectation that a dichoptic motion signal could cooperate with a monocular one. A different interpretation of the combination of monoptic and dichoptic signals is proposed. According to it, the clarity of rotational motions is based upon the evidence, even conflicting, which the two "peripheral" low-level processes separately provide.

Discrimination, Psychological↗
PubMed1984

Perceptual bistability with counterphase gratings.

Suprathreshold counterphase modulated gratings induce a bistable percept of drift or flicker. It is argued that these perceptual alternations might provide a new means for the investigation of directional selective mechanisms. The prevalance of either of the two perceptions has been studied as a function of the spatio-temporal characteristics of the stimulus and compared with: (1) the spatio-temporal contrast sensitivity surface for counterphase modulated gratings; (2) the motion/counterphase sensitivity ratio. Drift perception elicited by suprathreshold counterphase gratings attains a maximum for 8 c/deg, 12 Hz stimuli and decreases for any other experimental condition. For spatial frequencies below 1 c/deg, or temporal frequencies below 2 Hz, only flicker perception is reported. These phenomenal experiences do not show any systematic dependence on the involuntary eye movements of the observer. Comparison with the threshold measurements does not support their explanation in terms of the transient-sustained dichotomy, nor does it allow for a straightforward equivalance between the spatio-temporal characteristics of direction-selective mechanisms at threshold and at suprathreshold levels. It is suggested that the balance between flicker and motion is the perceptual outcome of the competition between lower and higher order motion detectors.

Eye Movements↗
PubMed1989

The effects of dichoptic and binocular viewing on bistable motion percepts.

Two competitive percepts are produced from a bistable stroboscopic motion display. In this display two frames, each containing three horizontally arrayed elements are presented alternately for several cycles. At short interstimulus intervals (ISIs) element or end-to-end motion responses are obtained when the two inner, spatially overlapping elements are seen as stationary and the third element moves back and forth from one end to the other end. Group motion responses are obtained at longer ISIs when the three elements are seen to move back and forth as a group. The dominance of these two percepts across ISIs was controlled by the manipulation of (1) element size, (2) frame duration, and (3) viewing conditions. Under both binocular and dichoptic viewing, element motion responses increase as element size and frame duration decrease. By maximizing pattern persistence substantial element motion responses were obtained dichoptically as well as binocularly. Instead of supporting the existence of two separate, low-level and high-level, motion systems, our data suggest that there is a single, high-level mechanism for motion whose output can be modulated by pattern persistence.

Afterimage↗
PubMed1986

Conductivity-mediated regulation in a compartmental enzyme system. Superactivation and conductance bistability.

This paper deals with the 'conductivity effect' which results from the action of an electric current in a compartmental system involving a chemical reaction producing ionic species. This effect, due to the difference between internal and external conductivities, leads to the accumulation of ionic species inside the reactive compartment. Different results are obtained depending on the considered kinetics: amplification of reaction rate increase, and chemical and conductance bistabilities.

Biological Transport↗
PubMed1995

Bistability and reaction thresholds in the phenol-inhibited peroxidase-catalyzed oxidation of indole-3-acetic acid.

A model mechanism for the phenol-inhibited peroxidase-catalyzed oxidation of indole-3-acetic acid (IAA) is proposed and analyzed. The model involves an autocatalytic free radical species that sustains IAA oxidation and the phenolic inhibitor acting as a free radical scavenger. Under a fixed set of parameter values, the model exhibits a coexistence of two stable steady states. This bistability phenomenon explains the origin of the experimentally observed threshold inhibitor concentrations above which IAA oxidation stops. The variation of the inhibitor threshold level with enzyme and substrate concentrations are reproduced by the model almost quantitatively.

Journal Article↗
PubMed1991

Cramps: a sign of motoneurone 'bistability' in a human patient.

In a patient suffering from severe long-lasting cramps, cramps were triggered in the triceps surae by volleys in homonymous Ia afferents (elicited by electrical stimulation or by tendon taps) and were interrupted by antidromic invasion and Renshaw inhibition of triceps surae motoneurones (evoked by a single maximal stimulation of motor axons). This result suggests that the mechanisms which generate the cramps are intrinsic to alpha-motoneurone somata. A similar on-off switching of a self-sustained motor discharge has been observed in the decerebrate cat and recognized to depend on 'bistability' of the motoneuronal membrane. We propose that the same mechanism may be at the origin of the cramp discharge.

Adult↗