The Kinetics and the Permeation Properties of Piezo Channels.

Piezo channels are eukaryotic, cation-selective mechanosensitive channels (MSCs), which show rapid activation and voltage-dependent inactivation. The kinetics of these channels are largely consistent across multiple cell types and different stimulation paradigms with some minor variability. No accessory subunits that associate with Piezo channels have been reported. They are homotrimers and each ∼300kD monomer has an N-terminal propeller blade-like mechanosensing module, which can confer mechanosensing capabilities on ASIC-1 (the trimeric non-MSC, acid-sensing ion channel-1) and a C-terminal pore module, which influences conductance, selectivity, and channel inactivation. Repeated stimulation can cause domain fracture and diffusion of these channels leading to synchronous loss of inactivation. The reconstituted channels spontaneously open only in asymmetric bilayers but lack inactivation. Mutations that cause hereditary xerocytosis alter PIEZO1 kinetics. The kinetics of the wild-type PIEZO1 and alterations thereof in mutants (M2225R, R2456K, and DhPIEZO1) are summarized in the form of a quantitative model and hosted online. The pore is permeable to alkali ions although Li+ permeates poorly. Divalent cations, notably Ca2+, traverse the channel and inhibit the flux of monovalents. The large monovalent organic cations such as tetramethyl ammonium and tetraethyl ammonium can traverse the channel, but slowly, suggesting a pore diameter of ∼8Å, and the estimated in-plane area change upon opening is around 6-20nm2. Ruthenium red can enter the channel only from the extracellular side and seems to bind in a pocket close to residue 2496.

The structure and dynamics of patch-clamped membranes: a study using differential interference contrast light microscopy.

We have developed techniques for micromanipulation under high power video microscopy. We have used these to study the structure and motion of patch-clamped membranes when driven by pressure steps. Patch-clamped membranes do not consist of just a membrane, but rather a plug of membrane-covered cytoplasm. There are organelles and vesicles within the cytoplasm in the pipette tip of both cell-attached and excised patches. The cytoplasm is capable of active contraction normal to the plane of the membrane. With suction applied before seal formation, vesicles may be swept from the cell surface by shear stress generated from the flow of saline over the cell surface. In this case, patch recordings are made from membrane that was not originally present under the tip. The vesicles may break, or fuse and break, to form the gigasealed patch. Patch membranes adhere strongly to the wall of the pipette so that at zero transmural pressure the membranes tend to be normal to the wall. With transmural pressure gradients, the membranes generally become spherical; the radius of curvature decreasing with increasing pressure. Some patches have nonuniform curvature demonstrating that forces normal to the membrane may be significant. Membranes often do not respond quickly to changes in pipette pressure, probably because viscoelastic cytoplasm reduces the rate of flow through the tip of the pipette. Inside-out patches may be peeled from the walls of the pipette, and even everted (with positive pressure), without losing the seal. This suggests that the gigaseal is a distributed property of the membrane-glass interface.

The ultrastructure of patch-clamped membranes: a study using high voltage electron microscopy.

We have developed techniques for studying patch-clamped membranes inside glass pipettes using high voltage electron microscopy (HVEM). To preserve the patch structure with the least possible distortion, we rapidly froze and freeze dried the pipette tip. The pipette is transparent for more than 50 microns from the tip. HVEM images of patches confirm light microscopy observations that the patch is not a bare bilayer, but a membrane-covered bleb of cytoplasm that may include organelles and cytoskeleton. The membrane that spans the pipette is commonly tens of micrometers from the tip of the pipette and occasionally as far as 100 microns. The structure of patches taken from a single cell type is variable but there are consistent differences between patches made from different cell types. With suction applied to the pipette before seal formation, we have seen in the light microscope vesicles swept from the plasmalemma up the pipette. These vesicles are visible in electron micrographs, particularly those made from chick cardiac muscle. Colloidal gold labeling of the patch permitted identification of lectin-binding sites and acetylcholine receptors. In young cultures of Xenopus myocytes, the receptors were diffuse. In 1-wk-old cultures, the receptors formed densely packed arrays. The patch pipette can serve, not only as a recording device, but as a tool for sampling discrete regions of the cell surface. Because the pipette has a constant path length for axial rotation, it is a unique specimen holder for microtomography. We have made preliminary tomographic reconstructions of a patch from Xenopus oocyte.

Membrane Electromechanics in Biology, with a Focus on Hearing.

Cells are ion conductive gels surrounded by a ~5-nm-thick insulating membrane, and molecular ionic pumps in the membrane establish an internal potential of approximately -90 mV. This electrical energy store is used for high-speed communication in nerve and muscle and other cells. Nature also has used this electric field for high-speed motor activity, most notably in the ear, where transduction and detection can function as high as 120 kHz. In the ear, there are two sets of sensory cells: the "inner hair cells" that generate an electrical output to the nervous system and the more numerous "outer hair cells" that use electromotility to counteract viscosity and thus sharpen resonance to improve frequency resolution. Nature, in a remarkable exhibition of nanomechanics, has made out of soft, aqueous materials a microphone and high-speed decoder capable of functioning at 120 kHz, limited only by thermal noise. Both physics and biology are only now becoming aware of the material properties of biomembranes and their ability to perform work and sense the environment. We anticipate new examples of this biopiezoelectricity will be forthcoming.

Block of stretch-activated ion channels in Xenopus oocytes by gadolinium and calcium ions.

Gadolinium ions produce three distinct kinds of block of the stretch-activated (SA) ion channels in Xenopus oocytes: a concentration-dependent reduction in channel open time, a concentration-dependent reduction in open channel current, and a unique, steeply concentration-dependent, reversible inhibition of channel opening. This last effect reduces the probability of a channel being open from about 10(-1) at 5 microM to less than 10(-5) at 10 microM gadolinium. Calcium has effects on open time and current similar to that of gadolinium, but this channel is permeable to calcium and calcium does not completely inhibit channel activity. The availability of a blocker for SA ion channels may help to define their physiological function, and will simplify the use of oocytes as an expression system for ion channels.

Single channel properties of P2X2 purinoceptors.

The single channel properties of cloned P2X2 purinoceptors expressed in human embryonic kidney (HEK) 293 cells and Xenopus oocytes were studied in outside-out patches. The mean single channel current-voltage relationship exhibited inward rectification in symmetric solutions with a chord conductance of approximately 30 pS at -100 mV in 145 mM NaCl. The channel open state exhibited fast flickering with significant power beyond 10 kHz. Conformational changes, not ionic blockade, appeared responsible for the flickering. The equilibrium constant of Na+ binding in the pore was approximately 150 mM at 0 mV and voltage dependent. The binding site appeared to be approximately 0.2 of the electrical distance from the extracellular surface. The mean channel current and the excess noise had the selectivity: K+ > Rb+ > Cs+ > Na+ > Li+. ATP increased the probability of being open (Po) to a maximum of 0.6 with an EC50 of 11.2 microM and a Hill coefficient of 2.3. Lowering extracellular pH enhanced the apparent affinity of the channel for ATP with a pKa of approximately 7.9, but did not cause a proton block of the open channel. High pH slowed the rise time to steps of ATP without affecting the fall time. The mean single channel amplitude was independent of pH, but the excess noise increased with decreasing pH. Kinetic analysis showed that ATP shortened the mean closed time but did not affect the mean open time. Maximum likelihood kinetic fitting of idealized single channel currents at different ATP concentrations produced a model with four sequential closed states (three binding steps) branching to two open states that converged on a final closed state. The ATP association rates increased with the sequential binding of ATP showing that the binding sites are not independent, but positively cooperative. Partially liganded channels do not appear to open. The predicted Po vs. ATP concentration closely matches the single channel current dose-response curve.

Voltage-dependent membrane displacements measured by atomic force microscopy.

Cells use polar molecules in the membrane to sense changes in the transmembrane potential. The opening of voltage-gated ion channels and membrane bending due to the inverse flexoelectric effect are two examples of such electromechanical coupling. We have looked for membrane motions in an electric field using atomic (or scanning) force microscopy (AFM) with the intent of studying voltage-dependent conformational changes of ion channels. Voltage-clamped HEK293 cells were either untransfected controls or transfected with Shaker K+ channels. Using a +/- 10-mV peak-peak AC carrier stimulus, untransfected cells moved 0.5-15 nm normal to the plane of the membrane. These movements tracked the voltage at frequencies >1 kHz with a phase lead of 60-120 degrees, as expected of a displacement current. The movement was outward with depolarization, but the holding potential only weakly influenced the amplitude of the movement. In contrast, cells transfected with a noninactivating mutant of Shaker K+channels showed similar movements, but these were sensitive to the holding potential; decreasing with depolarization between -80 and 0 mV. Searching for artifactual origins of these movements, we used open or sealed pipettes and AFM cantilever placements just above the cells. These results were negative, suggesting that the observed movements were produced by the cell membrane rather than by movement of the patch pipette, or by acoustic or electrical interactions of the membrane with the AFM tip. In control cells, the electrical motor may arise from the flexoelectric effect, where changes in potential induce changes in curvature. In transfected cells, it appears that channel-specific movements also occurred. These experiments demonstrate that the AFM may be able to exploit voltage-dependent movements as a source of contrast for imaging membrane components. The electrically induced motility will cause twitching during action potentials, and may have physiological consequences.

Energetic and spatial parameters for gating of the bacterial large conductance mechanosensitive channel, MscL.

MscL is multimeric protein that forms a large conductance mechanosensitive channel in the inner membrane of Escherichia coli. Since MscL is gated by tension transmitted through the lipid bilayer, we have been able to measure its gating parameters as a function of absolute tension. Using purified MscL reconstituted in liposomes, we recorded single channel currents and varied the pressure gradient (P) to vary the tension (T). The tension was calculated from P and the radius of curvature was obtained using video microscopy of the patch. The probability of being open (Po) has a steep sigmoidal dependence on T, with a midpoint (T1/2) of 11.8 dyn/cm. The maximal slope sensitivity of Po/Pc was 0.63 dyn/cm per e-fold. Assuming a Boltzmann distribution, the energy difference between the closed and fully open states in the unstressed membrane was DeltaE = 18.6 kBT. If the mechanosensitivity arises from tension acting on a change of in-plane area (DeltaA), the free energy, TDeltaA, would correspond to DeltaA = 6.5 nm2. MscL is not a binary channel, but has four conducting states and a closed state. Most transition rates are independent of tension, but the rate-limiting step to opening is the transition between the closed state and the lowest conductance substate. This transition thus involves the greatest DeltaA. When summed over all transitions, the in-plane area change from closed to fully open was 6 nm2, agreeing with the value obtained in the two-state analysis. Assuming a cylindrical channel, the dimensions of the (fully open) pore were comparable to DeltaA. Thus, the tension dependence of channel gating is primarily one of increasing the external channel area to accommodate the pore of the smallest conducting state. The higher conducting states appear to involve conformational changes internal to the channel that don't involve changes in area.

Identification of a peptide toxin from Grammostola spatulata spider venom that blocks cation-selective stretch-activated channels.

We have identified a 35 amino acid peptide toxin of the inhibitor cysteine knot family that blocks cationic stretch-activated ion channels. The toxin, denoted GsMTx-4, was isolated from the venom of the spider Grammostola spatulata and has <50% homology to other neuroactive peptides. It was isolated by fractionating whole venom using reverse phase HPLC, and then assaying fractions on stretch-activated channels (SACs) in outside-out patches from adult rat astrocytes. Although the channel gating kinetics were different between cell-attached and outside-out patches, the properties associated with the channel pore, such as selectivity for alkali cations, conductance ( approximately 45 pS at -100 mV) and a mild rectification were unaffected by outside-out formation. GsMTx-4 produced a complete block of SACs in outside-out patches and appeared specific since it had no effect on whole-cell voltage-sensitive currents. The equilibrium dissociation constant of approximately 630 nM was calculated from the ratio of association and dissociation rate constants. In hypotonically swollen astrocytes, GsMTx-4 produces approximately 40% reduction in swelling-activated whole-cell current. Similarly, in isolated ventricular cells from a rabbit dilated cardiomyopathy model, GsMTx-4 produced a near complete block of the volume-sensitive cation-selective current, but did not affect the anion current. In the myopathic heart cells, where the swell-induced current is tonically active, GsMTx-4 also reduced the cell size. This is the first report of a peptide toxin that specifically blocks stretch-activated currents. The toxin affect on swelling-activated whole-cell currents implicates SACs in volume regulation.

Cardiac mechanosensitivity and stretch-activated ion channels.

Mechanosensitivity is a ubiquitous property of cells, and mechanosensitive ion channels (MSCs) are hypothesized to be the transducers. In the heart, MSCs are likely to account for changes in beating rate as a function of filling and for initiating stretch-induced arrhythmias (for example, following a myocardial infarction). Pharmacological agents that affect MSCs may provide a new class of antiarrhythmic drugs. © 1997, Elsevier Science Inc. (Trends Cardiovasc Med 1997;7:4-8).

Stretch-induced voltage changes in the isolated beating heart: importance of the timing of stretch and implications for stretch-activated ion channels.

OBJECTIVES: It is now well recognized that myocardial stretch can cause arrhythmias due to stretch-induced depolarizations. The effects of transient stretch applied during the various phases of the cardiac action potential have not been investigated. This study (1) examined the effects of short stretch pulses and sustained stretch on the monophasic action potential (MPA) repolarization time course and diastolic potential, (2) examined the arrhythmic response to differently timed stretch pulses, and (3) tested by comparison with computer simulations whether these effects are compatible with stretch-activated channel characteristics known from patch-clamp studies. METHODS: We studied the MAP changes elicited by short transient stretch pulses applied at different times during the cardiac cycle to 8 isolated Langendorff-perfused rabbit hearts. The left ventricle (LV) was instrumented with a fluid-filled balloon, the volume of which was altered rapidly and precisely by means of a computer-controlled linear motor-driven piston. MAPs were recorded simultaneously from one right ventricular (RV) and two LV sites while short volume pulses of increasing amplitude were applied to the LV at variable delays after the last of 8 regular electrical pacing stimuli. The effect of pulsatile volume pulses applied at different phases of electrical systole and diastole was compared to the effect of sustained stretch pulses (60 s duration) of the same amplitude. The experimental results were compared with computer simulations of stretch-induced effects on the action potential to further validate the experimentally measured effects with theoretical predictions based on the Oxford Heart model with added stretch channel terms. RESULTS: Stretch pulses applied during early systole caused a brief transient repolarization during the LV MAP plateau phase, with a maximal amplitude of 24 +/- 10% of the total MAP amplitude. Stretch pulses at the end of the MAP caused a transient depolarization, with a maximal amplitude of 13 +/- 5%. These oppositely polarized stretch effects crossed over during a transitional range of repolarization (mean 65 +/- 9% of repolarization) when stretch produced neither transient repolarizations nor depolarizations. Only stretch pulses applied at a mean repolarization level of 77 +/- 5% or later led to arrhythmias, preceded by transient depolarizations. No corresponding de- or repolarizations were seen in MAPs recorded simultaneously from the unstretched RV. The effects of long pulses on the MAP waveform were nearly identical to an overlay plot of the effects of many differently timed short transient pulses. When the stretch-induced voltage changes in the MAP were plotted against the repolarization level at which they were produced, a linear relationship was found (mean correlation coefficient r = 0.97; P < 0.0001) with a reversal at approximately half the total MAP amplitude. The computer simulations of the influence of stretch-activated channels reproduced both the effects of short and sustained stretch seen in the MAP recordings. CONCLUSIONS: We demonstrated in the isolated beating heart that the electrophysiologic effects of sudden myocardial stretch depend on the timing of the stretch relative to electrical systole or diastole. These findings are in agreement with patch clamp studies on stretch-activated ion channels which showed a linear current/voltage relation with a reversal potential between -20 and -30 mV. Only stretch pulses applied at the end of the action potential or during diastole elicit ectopic beats as a result of transient depolarizations, while stretch pulses applied during phase 2 and 3 cause transient repolarizations or no effect, respectively.

Free Volume in Membranes: Viscosity or Tension?

Many papers have used fluorescent probe diffusion to infer membrane viscosity but the measurement is actually an assay of the free volume of the membrane. The free volume is also related to the membrane tension. Thus, changes in probe mobility refer equally well to changes in membrane tension. In complicated structures like cell membranes, it appears more intuitive to consider variations in free volume as referring to the effect of domains structures and interactions with the cytoskeleton than changes in viscosity since tension is a state variable and viscosity is not.

Single-channel electrophysiology: use of the patch clamp.

The patch clamp technique affords unparalleled resolution of the detailed properties of ion channel currents. Patch clamping is not difficult and has been used to record single-channel currents from many cell types. The number of artifacts associated with the method appears to be rather small. The main experimental difficulties arise from the need to process large amounts of data. With the development of inexpensive computers and mass storage devices, these problems should be alleviated. The study of membrane excitability is expanding rapidly owing to the introduction of high-resolution patch clamp techniques. The conceptual revolution that will inevitably follow is just beginning.

Maximum likelihood estimation of aggregated Markov processes.

We present a maximum likelihood method for the modelling of aggregated Markov processes. The method utilizes the joint probability density of the observed dwell time sequence as likelihood. A forward-backward recursive procedure is developed for efficient computation of the likelihood function and its derivatives with respect to the model parameters. Based on the calculated forward and backward vectors, analytical formulae for the derivatives of the likelihood function are derived. The method exploits the variable metric optimizer for search of the likelihood space. It converges rapidly and is numerically stable. Numerical examples are given to show the effectiveness of the method.

Mechanically sensitive, nonselective cation channels.

Mechanically sensitive channels (MSCs) are ubiquitous in plant and animal cells. They respond primarily to membrane tension, thus making them good transducers for forces derived from osmotic or hydraulic gradients and shear stress. They may also be modulated by membrane voltage and various ligands. MSCs are most commonly cation selective, passing calcium as well as monovalent ions, but some are K+ selective, and a few are anion selective. MSCs occur at a density of about 0.2-5 per microns2. The universal distribution and biophysical properties of MSCs make them the ideal mechanotransducers in a wide variety of cellular processes.

Adapting the Quesant Nomad atomic force microscope for biology and patch-clamp atomic force microscopy.

The Quesant Nomad atomic force microscope (AFM) was modified to produce a reliable patch-clamp AFM for demanding biologic applications. The AFM's laser optics forms the basis of a condenser that allows simultaneous Köhler illumination and AFM imaging on an inverted optical microscope. The original AFM scan head was replaced with plastic and glass to make it biologically inert. A bevel cut in the new scan head permits clearance for patch clamp pipets. Cantilevers are attached to the scan head with a quick setting silicone rubber that is readily removable. Software was developed to (a) automate a gentle approach and set a specific feedback force, (b) provide a mouse-driven control of the X-Y position of the probe tip and recall of saved locations, and (c) measure force-distance curves over user defined paths. Additional modifications were made to minimize mechanical noise. The patch-clamp AFM achieves 600 fA (3 kHz bandwidth) and 1 A RMS noise levels (10 kHz bandwidth). The correlation of electrical and mechanical information allows signal averaging and measures sub-Angstrom, sub-millisecond electromotile responses from cells.

An almost completely shielded microelectrode.

We present a new method of shielding microelectrodes to within 20 micron of the tip. Stray capacity is reduced to less than 50 fF. Ordinary microelectrodes are covered with silver in a vacuum evaporator. Silver is removed from the tip by contact with a ball of mercury. The microelectrode is then insulated with a glass barrel which is sealed by dipping the tip in diluted polystyrene in amyl acetate, or by dipping the electrode in melted wax. The latter method is quick, easy and reliable.

Storing analog data in a video record.

We have designed a simple device that will encode, in machine readable form, multiple analog data in a video record. The analog data is visible to the user within the video frame permitting visual correlation of these signals with activity observed in the image. By superimposition of both analog and video data sets, the two are tightly synchronized and remain so in all copies of the data. The analog data can be separated from the image following digitization by a frame grabber. The bandwidth for each of the five analog channels is approximately 5 kHz. The device, which is essentially an eight channel video multiplexor, includes a video channel, a field counter, an amplitude calibration signal and five analog data channels. The amplitude calibrator allows corrections for gain errors that are particularly prevalent when data is stored on video tape.