Cell Membrane Tethers Generate Mechanical Force in Response to Electrical Stimulation

Living cells maintain a huge transmembrane electric field across their membranes. This electric field exerts a force on the membrane because the membrane surfaces are highly charged. We have measured electromechanical force generation by cell membranes using optically trapped beads to detach the plasma membrane from the cytoskeleton and form long thin cylinders (tethers). Hyperpolarizing potentials increased and depolarizing potentials decreased the force required to pull a tether. The membrane tether force in response to sinusoidal voltage signals was a function of holding potential, tether diameter, and tether length. Membrane electromechanical force production can occur at speeds exceeding those of ATP-based protein motors. By harnessing the energy in the transmembrane electric field, cell membranes may contribute to processes as diverse as outer hair cell electromotility, ion channel gating, and transport.     

Brownian motion, fluctuation and life

The measurements of dynamic behaviors of biomolecules in relation to their functions have been allowed using single molecule measurements. Thermal Brownian motion causes random step motion of motor proteins and structural fluctuation of protein molecules between multiple states. In hierarchic structure of life, the fluctuation is modulated. Random fluctuation is biased to directional motion and reactions as a result of interaction of proteins. The fluctuation of kinetic state of signaling proteins results in polarization and localization of cells. A recognition process in brain is also explained by the equation analogous to biochemical reaction at the molecular level. Thus dynamic processes originated from thermal motion may play an important role in activation processes in life.     

Effect of syncytium structure of receptor systems on stochastic resonance induced by chaotic potential fluctuation.

To study a role of syncytium structure of sensory receptor systems in the detection of weak signals through stochastic resonance, we present a model of a receptor system with syncytium structure in which receptor cells are interconnected by gap junctions. The apical membrane of each cell includes two kinds of ion channels whose gating processes are described by the deterministic model. The membrane potential of each cell fluctuates chaotically or periodically, depending on the dynamical state of collective channel gating. The chaotic fluctuation of membrane potential acts as internal noise for the stochastic resonance. The detection ability of the system increases as the electric conductance between adjacent cells generated by the gap junction increases. This effect of gap junctions arises mainly from the fact that the synchronization of chaotic fluctuation of membrane potential between the receptor cells is strengthened as the density of gap junctions is increased.     

Hindered diffusion in excised membrane patches from retinal rod outer segments.

Excised inside-out membrane patches are useful for studying the cGMP-activated ion channels that generate the electrical response to light in retinal rod cells. We show that strong ionic current across a patch changes the driving force on the current by altering the ionic concentration near the surface membrane, an effect somewhat like that first described by Frankenhaeuser and Hodgkin (1956) in squid axons. The dominant concentration change occurs in the solution adjacent to the cytoplasmic (inner) surface of the membrane, where diffusion is impaired by intracellular material that adheres to the patch during excision. The magnitude and time course of the ionic changes are consistent with the expected volume of this material and with an effective diffusion coefficient about an order of magnitude less than that in free solution. Methods are described for correcting current transients observed in voltage clamp experiments, so that channel gating kinetics can be obtained without contamination by changes in driving force. We suggest that restricted diffusion may occur in patches excised from other types of cells and influence rapid kinetic measurements.     

Weak Sinusoidal Electric Fields Entrain Spontaneous Ca Transients in the Dendritic Tufts of CA1 Pyramidal Cells in Rat Hippocampal Slice Preparations

Neurons might interact via electric fields and this notion has been referred to as ephaptic interaction. It has been shown that various types of ion channels are distributed along the dendrites and are capable of supporting generation of dendritic spikes. We hypothesized that generation of dendritic spikes play important roles in the ephaptic interactions either by amplifying the impact of electric fields or by providing current source to generate electric fields. To test if dendritic activities can be modulated by electric fields, we developed a method to monitor local Ca-transients in the dendrites of a neuronal population in acute rat hippocampal slices by applying spinning-disk confocal microscopy and multi-cell dye loading technique. In a condition in which the dendrites of CA1 pyramidal neurons show spontaneous Ca-transients due to added 50 μM 4-aminopyridine to the bathing medium and adjusted extracellular potassium concentration, we examined the impact of sinusoidal electric fields on the Ca-transients. We have found that spontaneously occurring fast-Ca-transients in the tufts of the apical dendrites of CA1 pyramidal neurons can be blocked by applying 1 μM tetrodotoxin, and that the timing of the transients become entrained to sub-threshold 1-4 Hz electric fields with an intensity as weak as 0.84 mV/mm applied parallel to the somato-dendritic axis of the neurons. The extent of entrainment increases with intensity below 5 mV/mm, but does not increase further over the range of 5-20 mV/mm. These results suggest that population of pyramidal cells might be able to detect electric fields with biologically relevant intensity by modulating the timing of dendritic spikes.     

Presynaptic calcium stores and synaptic transmission

Following the gradual recognition of the importance of intracellular calcium stores for somatodendritic signaling in the mammalian brain, recent reports have also indicated a significant role of presynaptic calcium stores. Ryanodine-sensitive stores generate local, random calcium signals that shape spontaneous transmitter release. They amplify spike-driven calcium signals in presynaptic terminals, and consequently enhance the efficacy of transmitter release. They appear to be recruited by an association with certain types of calcium-permeant ion channels, and they induce specific forms of synaptic plasticity. Recent research also indicates a role of inositoltrisphosphate-sensitive presynaptic calcium stores in synaptic plasticity.     

Redox-sensitive extracellular gates formed by auxiliary beta subunits of calcium-activated potassium channels

An important step to understanding ion channels is identifying the structural components that act as the gates to ion movement. Here we describe a new channel gating mechanism, produced by the beta3 auxiliary subunits of Ca2+-activated, large-conductance BK-type K+ channels when expressed with their pore-forming alpha subunits. BK beta subunits have a cysteine-rich extracellular segment connecting two transmembrane segments, with small cytosolic N and C termini. The extracellular segments of the beta3 subunits form gates to block ion permeation, providing a mechanism by which current can be rapidly diminished upon cellular repolarization. Furthermore, this gating mechanism is abolished by reduction of extracellular disulfide linkages, suggesting that endogenous mechanisms may regulate this gating behavior. The results indicate that auxiliary beta subunits of BK channels reside sufficiently close to the ion permeation pathway defined by the alpha subunits to influence or block access of small molecules to the permeation pathway.     

Capacitance fluctuations causing channel noise reduction in stochastic Hodgkin-Huxley systems

Voltage-dependent ion channels determine the electric properties of axonal cell membranes. They not only allow the passage of ions through the cell membrane, but also contribute to an additional charging of the cell membrane resulting in the so-called capacitance loading. The switching of the channel gates between an open and a closed configuration is intrinsically related to the movement of gating charge within the cell membrane. At the beginning of an action potential, the transient gating current is opposite to the direction of the current of sodium ions through the membrane. Therefore, the excitability is expected to become reduced due to the influence of a gating current. Our stochastic Hodgkin-Huxley-like modeling takes into account both the channel noise-i.e. the fluctuations of the number of open ion channels-and the capacitance fluctuations that result from the dynamics of the gating charge. We investigate the spiking dynamics of membrane patches of a variable size and analyze the statistics of the spontaneous spiking. As a main result, we find that the gating currents yield a drastic reduction of the spontaneous spiking rate for sufficiently large ion channel clusters. Consequently, this demonstrates a prominent mechanism for channel noise reduction.     

Kinetic theory of the positive column of a low-pressure discharge in a transverse magnetic field

The influence of a transverse magnetic field on the characteristics of the positive column of a planar low-pressure discharge is studied theoretically. The motion of magnetized electrons is described in the framework of a continuous-medium model, while the ion motion in the ambipolar electric field is described by means of a kinetic equation. Using mathematical transformations, the problem is reduced to a secondorder ordinary differential equation, from which the spatial distribution of the potential is found in an analytic form. The spatial distributions of the plasma density, mean plasma velocity, and electric potential are calculated, the ion velocity distribution function at the plasma boundary is found, and the electron energy as a function of the magnetic field is determined. It is shown that, as the magnetic field rises, the electron energy increases, the distributions of the plasma density and mean plasma velocity become asymmetric, the maximum of the plasma density is displaced in the direction of the Ampère force, and the ion flux in this direction becomes substantially larger than the counter-directed ion flux.     

The representation of membrane admittance.

An integral representation for the membrane admittance in terms of its known current response to a voltage step function is presented. It is demonstrated that the frequency-dependent terms in the contribution to the membrane admittance by the ion-selective conductance of the nerve membrane are proportional to the static conductances. The additional information contained in the real and imaginary parts of the membrane admittance should allow the parameters of the ion conductance to be determined. Eventually, these measurements should also give information about the electric dipole displacement currents of the conductance systems themselves, and about the metabolically supported active ion transport currents that maintain the ion concentration gradients.     

Loss of alleles in a haploid population with varying environment

The evolution of populations may be affected by a number of factors. The basic forces of migration, mutation, and selection are self-explanatory. However, finite populations are also known to be subject to the fundamental undirected force of genetic drift—the random fluctuation of gene frequencies. It is this random effect which will be investigated via the consideration of discrete stochastic models.     

Existence of memory in membrane channels: analysis of ion current through a voltage‐dependent potassium single channel

Ion current fluctuation of voltage‐dependent potassium channel in LβT2 cells has been investigated by autocorrelation function and DFA (detrended fluctuation analysis) methods. The calculation of the autocorrelation function exponent and DFA exponent of the sample was based on the digital signals or the 0–1 series corresponding to closing and opening of channels after routine evolution, rather than the sequence of sojourn times. The persistent character of the correlation of the time series was evident from the slow decay of the autocorrelation function. DFA exponent α was significantly greater than 0.5. The main outcome has been the demonstration of the existence of memory in this ion channel. Thus, the ion channel current fluctuation provided information about the kinetics of the channel protein. The result suggests the correlation character of the ion channel protein non‐linear kinetics indicates whether the channel is open or not.     

Equivalence of background and bleaching desensitization in isolated rod photoreceptors of the larval tiger salamander

Psychophysical experiments have shown an equivalence between sensitivity reduction by background light and by bleaches for the human scotopic system. We have compared the effects of backgrounds and bleaches on the light-sensitive membrane-current responses of isolated rod photoreceptors from the salamander Ambystoma tigrinum. The quantum catch loss was factored out from the desensitization due to bleaching to give the fraction of "extra" desensitization due to adaptation. For backgrounds, desensitization is well described by the Weber/Fechner equation. The extra desensitization after bleaches can also be described by the Weber/Fechner equation, if an "equivalent" background produced by bleaching is made linearly proportional to the fraction of pigment bleached. A background which produces an extra desensitization of a factor of two is equivalent to a fractional bleach of approximately 6%. Equivalent background and bleaching desensitizations were associated with similar reductions in circulating current. There is a linear relation between log flash sensitivity and decrease in circulating current. Equivalent background and bleaching desensitizations were associated with similar increases in cGMP phosphodiesterase and guanylate cyclase activity. These were inferred from membrane current changes after steps into lithium or IBMX solutions. There were also similar reductions in the integration times of dim flash responses for equivalent desensitizations produced by backgrounds and bleaches. These results suggest that the equivalence between background and bleaching found psychophysically may arise at the very earliest stages of visual processing and that these two processes of desensitization have similar underlying mechanisms.     

Ionic forces and membrane phenomena

When a membrane containing diffusible ions is perturbed by an electric field, osmotic and electric relaxation forces are developed. These are calculated for an infinitesimal impulse perturbation. The force characteristics are dependent on the shape of the fixedcharge distribution. The electric force is proportional to the concentration difference, while the osmotic force is proportional to the second derivative of the chemical potential. The residual electric field gives rise to membrane reactance. With two diffusible cations having different concentrations and mobilities, two decaying potential terms are obtained. Under certain conditions these may be represented as due to a real RLC electric circuit. If the mobility of a diffusible cation varies in the membrane, it is possible for the osmotic force to cancel the electric. The case is examined for mobility inversely proportional to the negative fixed charge density, and the requisite charge distribution calculated. It appears that this effect may be of importance in explaining the activity of the axonal membrane. Boundary forces are examined in detail in the Appendices, including the effect of lack of equilibrium. Force relationships are calculated for the uniform fixed-charge membrane.     

Ionomigration of Neutral Phases in Ionic Conductors

Without sensing any physical force, a neutral object in an ion conducting solid can move in a uniform electrochemical field by coupling a global ion wind with localized counterion diffusion at the interface. This happens to pores and gas bubbles at 840 °C in a fast O^2? conductor, yttria‐stabilized zirconia (YSZ), despite having cations that are essentially frozen with lattice diffusivities 10¹² times slower than the O^2? diffusivity. Through‐thickness migration and massive electro‐sintering in thin YSZ ceramics are observed at voltages similar to those in YSZ fuel cells and electrolysis cells. This effect should apply to any electrochemically‐loaded multiphase ionic conducting solid, with or without an electric field, and can lead to electrolyte sintering, phase accumulation and electrode debonding, resulting in unexpected benefit or damage in electrochemical devices. As the velocity obeys a pseudo Stokes‐Einstein equation, inversely proportional to the object size, an especially enhanced size effect is expected in nanocomposites.     

System of Kinetic Equations for Collisionless Space Plasma in the Approximation of Field-Aligned Force Equilibrium for Electrons

A system of kinetic equations describing relatively slow large-scale processes in collisionless magnetoplasma structures with a spatial resolution on the order of the proton thermal gyroradius is derived. The system correctly takes into account the electrostatic effects in the approximation of field-aligned force equilibrium for electrons. The plasma is considered quasineutral, and the magnetic field is described by the Ampère equation. The longitudinal component of the electric field is found explicitly from the equality of the field-aligned component of the electric force acting on plasma electrons and the divergence of the electron pressure tensor. The electric field component orthogonal to the magnetic field is determined by the distributions of the number densities, current densities, and stress tensors of all plasma species in the instantaneous long-range approximation described by a system of time-independent elliptic equations. Versions of the system of equations adapted to the case of magnetized electrons described by the Vlasov equation in the drift approximation, as well as to the case in which all plasma species are magnetized, are derived. The resulting systems of equations allow creating numerical models capable of describing large-scale processes in nonuniform collisionless space plasma.     

Rhythmogenesis in the heart sinoatrial node

The most significant experimental data on the formation of the common rhythm of the heart sinoatrial node are presented for both the intact heart sinoatrial node and cardiomyocytes in cell structures. The basic mathematical models for studying the synchronization processes in the sinoatrial node, including the Noble equation, Bonhoffer-van der Pol model, and modified axiomatic models, are described. The basic results obtained with the mathematical models are presented. The most important causes affecting the formation of the common rhythm—the pacemaker potential shape in the slow diastolic depolarization phase, its porosity, the coupling force between pacemakers, and the electrical power of pacemakers—are revealed. Rhythmogenesis is studied using the modified axiomatic model. The method allows the calculation of the common rhythm of the sinoatrial node, with allowance for the mutual effect of the pacemaker cells, including the coupling force, electric power of cells, and possibility of the cells clustering. It has been shown that the common rhythm of the sinoatrial node is generally formed at the intermediate level of the rhythms of all pacemaker cells.     

Molecular signals in protein sorting in epithelial cells: implication of the transmembrane domain and the post-translational process]

Protein sorting in epithelial cells is the major event that drive the onset and the maintenance of the functional cell polarity. A lot of interdependent steps are involved in protein sorting and targeting. Recent data describing the last results obtained in this field will be reviewed in the first part of this article. Molecular signals harbored by proteins to specify their destination are thought to be the driven force to sort given protein in a given pathway. The basolateral targeting signals so far identified are known for several years and are of the same nature, whereas apical targeting signals are still discussed and are of diverse molecular nature. Dipeptidyl peptidase IV (DPP IV/CD26) targeting signals have not been described so far and it will be interesting to study these signals, since the protein reach the apical membrane of epithelial cells through different pathways that strongly depend on the cell type considered. These different pathways result in DPP IV membrane localizations that may explain the multifunctional properties of DPP IV such as enzymatic digestion, interaction with extracellular matrix proteins, capture and transport of circulating proteins. We have undertaken the study of DPP IV molecular targeting signals and we will described here how the transmembrane domain and the glycosylation of the ectodomain may be involved in DPP IV apical targeting, with a special reference to the cell type specificity.     

Irreversible thermodynamic analysis of electrophoretic light scattering experiments

A fluctuation theory for electrolyte solutions is developed based on the coupling between the equations of nonequilibrium thermodynamics and the Poisson equation. The resulting fluctuation theory is applied to the analysis of electrophoretic light scattering. It is shown that in a binary electrolyte solution (two ionic species), the Doppler shift is not determined by the electrical mobility of either ion, but depends instead on the rate of change of transference number with salt concentration. In addition the ionic relaxation time is shown to be proportional to the conductivity of the solution.