The first requirement for understanding stretch-activated channels (SACs) is the knowledge that the term “SACs” was never intended as an abbreviation of my name. Second, this review will never mention the role of an amino acid. The literature includes many synonyms for SACs including mechanosensitive channels (MSC), mechanogated channels, pressure-sensitive, pressure-induced, or mechanical channels. Exercising my independence as the author, I will use the term MSC. The term “pressure sensitive” comes from the method of stretching the patch by applying pressure to the pipette, but membrane tension, not pressure, is the relevant variable. MSCs are identified by currents that increase with mechanical stress in the membrane they may also inactivate (64
). There is currently no unique protein structure for chemically tracking expression of MSCs, although many have been associated, correctly or incorrectly (21
), with the TRP superfamily.
Mechanical sensitivity, much like voltage or ligand sensitivity, is a general property of channels as well as other proteins. Channels previously labeled as “voltage-gated” like K, Na, HCN (33
) or “ligand-gated” (11
) are also mechanically sensitive. The only requirement for mechanical sensitivity is that the channels change shape between closed and open states and that membrane stress can reach the channels (40
). Mechanical sensitivity is a property as general as voltage sensitivity (40
). Whether the mechanical sensitivity of a particular channel is physiologically useful or whether it simply serves as a biophysical tool has to be determined.
In this review, I will arbitrarily consider MSCs to be those channels for which mechanical stress alone can drive them over their full dynamic range. Stress can modulate many channels and involves the same properties as MSCs, but lower energies. For example, the kinetics of voltage-sensitive channels can be changed by orders of magnitude by mechanical stress, but the voltage dependence dominates the net behavior. MSCs are not strongly gated by voltage, although they can be effectively gated by amphipathic ligands such as unsaturated fatty acids and general anesthetics (12
). The most difficult problem in studying MSCs is that the local stimulus, the stresses at the channel, is not easily measured. In what follows, I will use the terms tension and stress interchangeably (note: stress refers to force and strain to distance).
Consider the simplest case of a lipid bilayer of fixed area, A
. If you stretch it, the tension will increase linearly with the area strain [T
)] where the area stiffness (kA
; like the Hooke’s law stiffness) is
~100–1,000 mN/m (59
). MSCs from bacteria have been studied in lipid vesicles (46
), but that technology has not yet worked for eukaryotic MSCs. It is not simple to measure the area of a patch, and harder yet to measure the change in area with stretch (let alone simultaneously perform electrophysiology) so that defining the mean stress in a patch is complicated. If you apply suction (or pressure) to a patch, the tension will increase according to Laplace’s law:
is the cortical tension, P is the pressure drop across the patch, and r
is the radius of curvature. P is easily measurable (4
), although r
is not (46
is the stimulus for the channels. In the simplest model of a channel in a bilayer (a cylindrical plug), if the closed channel has an in-plane area (
) and the open channel has an in-plane area (
, where rc,o
are the radii in their respective states), the free-energy difference between the states is:
The larger the difference in area, the higher the sensitivity. In the case of TREK-1, if the closed channel is 5 nm in diameter, the observed stretch sensitivity can be accounted for if the radius increases by 0.2 nm (25
). These considerations apply to any pair of states, not just to open and closed. For example, a tension-sensitive rate could connect two closed states, as well as states of different conductance.
It is important to be clear about the meaning of sensitivity. As with voltage-gated channels, the gating curve is a sigmoidal Boltzmann function with two parameters (Eq. 3
): the stimulus strength at which the system is half activated (the midpoint, chord sensitivity, equal probability tension, or T1/2
) and the steepness of the curve at that point (or the slope sensitivity, δA
, where kBT
= Boltzmann’s constant <chem degrees Kelvin = 4.1 pN <chem nm at room temperature). The chord sensitivity or midpoint tension is readily modulated by prestressing the channel with amphipaths, the cytoskeleton, or the adherence of the membrane to a patch pipette (66
). The slope sensitivity, however, primarily reflects the dimensional changes of the channel that occur during gating and is expected to be independent of the chord sensitivity.
Notice that the simple gating model of Eq. 2
has no reference to the material properties of the membrane. Weird. How could channel activity be the same in a diamond membrane and a lipid membrane? The answer is that there is an additional energy term, the line tension (42
), that contains all the chemistry. The line tension is a circumferential tension at the perimeter of the channel where it meets the bilayer. It reflects the change in chemical potential as one moves from the lipid into the protein and summarizes the local chemistry.
How can different lipids change channel gating? If the closed and open states have different interaction energies with the lipids, that will create a difference in line tension between the closed open states, and there will be a shift in the midpoint of the gating curve. Additional energy can come from a hydrophobic mismatch when the channel is thicker or thinner than the bilayer (57
). Luckily, the simple model of Eq. 2
appears to contain the dominant energy term.
There are other ways to put energy into the channel. You can bend it, squeeze it, stretch it, etc. (70
). Amphipaths affect MSC gating by bending the lipids in the boundary layer surrounding the channel (67
). The boundary layer is the lipid equivalent to the hydration layer of water-soluble proteins. Depending on the affinity of a channel for particular lipids, channels can segregate specific lipids around the channel. A single hydrogen bond, for example, can create a concentration gradient of nearly 10:1, so the composition of the local environment is not likely to be the same as the average membrane (2
). Membrane stresses decay within about three lipids (2
) so that the channel will not be affected by the average properties of the membrane except for the mean tension. With these caveats in mind, let’s return to the simple model of a homogenous bilayer membrane and discuss what we mean by membrane tension.
If we had a bilayer with a fixed number of lipids, as one might have in a Langmuir-Blodgett trough, stretching it will increase the area/molecule (decrease the number density). Tension is the force/length required to hold together the edges of a slit in the membrane. However, the standard assay for channel activity is not a Langmuir-Blodgett trough but a patch-clamped membrane, and in a patch the number of lipids is not fixed. In cell-attached mode, lipids can flow from the cell along the pipette walls and into the patch dome, and they can also reposition themselves in excised patches (66
). The physical constraint for modeling the patch (the boundary condition) is not a fixed number of lipids but a fixed tension. The tension is produced by membrane adhesion to the glass and the hydrostatic pressure gradient across the patch.
Tension can be measured by the angle at which the patch membrane contacts the glass (51
) (). The adhesion energy density (which has the units of tension) determines the resting tension of the patch. That tension is large, perhaps 30–40% of the lytic strength of the bilayer (66
). Thus all patch recordings have been made in highly stressed membranes. Applying suction will increase the tension, but the increment is usually less than the resting tension. The resting tension is sufficient open many MSCs (25
), and for particular channels opening can also lead to inactivation, making the patch appear to contain no MSCs.
Cartoon structured of an excised patch illustrating the complex geometry and the origin of the forces
The difference in physical state between the resting cell membrane and the patch was recently emphasized to us by an experiment showing that patches are insensitive to the detergent Trixon-X100, not even lowering the seal resistance (Gottlieb P, Sachs F, unpublished observations). How can this occur since Triton easily dissolves the membrane of the host cell? We are not sure, but either Triton cannot enter the patch membrane or Triton in the patch cannot form a micelle. We prefer the latter explanation. To make a spherical micelle from a planar membrane (to “dissolve” it), you have to increase the total area of the system: A
total = Apatch disk
. We know from Eq. 2
that to increase the area of a membrane under tension requires energy, and apparently the resting tension of the patch is sufficient to raise the energy of micelle formation well above kB
T. Enough already: Is that all we have to know about membrane stress? No.
In a bilayer patch, only the outer monolayer touches the glass, and the inner monolayer floats viscously over the outer monolayer. The stress is not equal in the two monolayers (17
). In steady state, the outer monolayer bears all the tension (also noted far-field tension), and the inner monolayer has no tension. The mean tension estimated from Laplace’s law is actually the tension in the outer monolayer. There will be a large gradient in tension normal to the membrane or, equivalently, a gradient of intramembrane pressure (10
). If the gating hardware of a channel were located in the inner half of that bilayer, as proposed for potassium channels (6
), the transitions might appear insensitive to tension. If a channel were to gate with motion in the extracellular monolayer, as is likely to be true for endogenous cationic MSCs (58
), they would appear tension sensitive.
In addition to generating the resting tension, the adhesion energy keeps the patch from flying up the pipette when you apply suction. If there is excess lipid available as in a cell-attached patch, the patch can creep up the pipette indefinitely since the bilayer is a liquid. As it creeps, the patch changes geometry, creating time-dependent changes in channel activity that might be classed as run-up, run-down, or desensitization (66
). The adhesion energy plays one more critical role in forming a patch. The differential adhesion of different membrane components for the glass acts as a chromatograph to separate membrane components and affect which ones will arrive in the dome.
To study the stress-dependent changes in channel activity, we would like to be able to measure activity with no baseline tension rather than the arbitrary value set by the adhesion energy. It is possible to create a tension-free patch, although only transiently. When we stretch a patch, it forms a spherical cap with an area of Acap
, where r
is the radius of curvature and h
is the height of the cap. If we then suddenly step back to zero pressure, the patch will attempt to return to a flat disk that spans the pipette. But that only requires an area of Adisk
, about one-half that of the cap. Where does the excess area go? Initially, it just wrinkles the patch (), and this wrinkled patch has approximately zero tension (25
). The wrinkling has a spatial period of ~200–500 nm, which is insufficient to create significant bending energy in the channel to cause it to open. Within ~1 s after wrinkling, the membrane reanneals to the glass, restoring the resting tension to 3–4 mN/m. Thus, by using a high-speed pressure clamp (4
) and examining channel behavior just after release of suction, one can explore channel behavior under minimal (although time-dependent) tension.
How a pressure clamp can generate a transient tension-free patch
In a patch of a bilayer, a change in pipette pressure will cause slippage of one monolayer against the other (17
), creating a time-dependent normal component of tension. Initially following a step in pressure, the tension is shared by both monolayers, but in equilibrium only one. If we did not pay attention to the details of the local stimulus, we could mistakenly ascribe the effect of this elaborate physical kinetics to a “novel” property of the channel. If the mechanics of a pure bilayer are so complicated, how about stresses in a biological membrane?
The predominant change in going from a bilayer to a biological patch is the presence of the cytoskeleton that forms a plug behind the patch dome (66
). Patches are actually samples of the cell cortex, not bilayers. The patch cytoskeleton shares stresses with the bilayer, thereby reducing the stress in the bilayer. The stresses in biological patches are actually distributed in three dimensions, not two. These normal stresses are easily visualized by curvature of the patch since the equilibrium shape of an adherent membrane is normal to the walls (65
). Stresses in the cytoskeleton relax with time (an effective viscosity) and hence create time-dependent stresses in the bilayer so that a step of pipette pressure is not equivalent to a step of membrane tension. This nonuniform distribution of mechanical stress limits the speed with which one can change the stimulus.
Patches can be simplified to better approximate a bilayer in a number of ways. Blebs have less cytoskeleton than the surrounding membrane (74
); cytoskeletal reagents like latruculin and cytochalasin can reduce the population of cycling actin, although they are not effective on cortical actin (65
); the cytoskeleton can be broken down with repeated suction/pressure pulses (66
). We have found that removing cholesterol from the membrane with cyclodextrin leads to complete delamination of the cytoskeleton from the bilayer and produces patches that behave as expected for a lipid bilayer ().
Cholesterol depletion in mouse myotubes uncouples the cytoskeleton from the bilayer and increases stress on MSCs
Finally, what about osmotic pressure as a stimulus? Contrary to dogma, nucleated cells can live in distilled water for hours at estimated osmotic pressure of 7 Atm (69
). If osmotic pressure is so far above the hydrostatic pressure applied to patches (100 mmHg = 0.13 Atm), why do swollen cells not saturate their MSCs in the open state and generate huge whole currents? There are two reasons. The traditional view of cell osmotic pressure as arising cleanly from the pressure of small solute molecules against the membrane is untrue. The cytoskeleton bears a substantial amount of the osmotic stress (62
), as is rather obvious, in retrospect, from the nonspherical shape of adherent cells under osmotic stress. The osmotic stress is borne in three dimensions by the cytoskeleton acting as a sponge, and only a small component is borne by the membrane. The sponge-like properties of the cytoskeleton are emphasized by the fact that cells get softer, not harder, when they are swollen (62
). Second, the relevant radius of curvature for Laplace’s law is not that of the cell but that of the cytoskeletal lattice, ~50 nm. If the membrane becomes delaminated from the cytoskeleton, however, the system becomes two dimensional, and the channels should activate and maybe inactivate. Osmotic stimuli cannot create uniform tension in the cell membrane since the curvature is not constant and the compliance is not constant. Even worse, in most cells, osmotic stress induces a pronounced Ca2+
), which is a serious perturbation for a many currents, and the exchange of osmolytes during volume regulation will change the chemical environment of the cytoskeleton and the channels. Osmotic stress and mechanical stress are not the same stimuli.
Having established the fundamentals of the mechanical stimulus, I will explain some of the problems in identifying the molecular entities of MSCs. The most critical problem is that all cells, including red cells (68
), have cationic MSCs so that there is no null background. If you apply patch suction looking for MSCs in a transfected cell, how do you know if that current came from the transfected DNA or from the endogenous channels (21
)? You don’t. The minimal requirement for such an experiment is that they be performed in double blind so that the experimenter does not know the source of the cells. Cells that appear to have no MSCs will often display them after treatment with cytochalasin; the channels were present but shielded. The patch is a dismal sampler of the average cell properties (66
), especially in actively remodeling cells like COS and HEK. Ideally, one would like to see the transfection cause a massive expression of a new kind of conductance, and that does happen with the 2P channels (25
) where one can easily generate K currents of several nA from a patch. Of course if the patch behavior were representative of the whole cell membrane, one should be able to generate microamps from a cell, but that never happens. Possibly, in the resting cell membrane, the 2P channels are shrouded in parallel elastic elements that provide mechanoprotection.
A more subtle issue for examining MSC activity is that channel expression is known to cause reorganization of the cytoskeleton, regardless of whether the channels are active (35
). Reorganization means that the stresses changed from the control cells. Proper controls are not cells transfected with GFP or some other innocuous protein or even a nonconducting version of channel under study. It is far from obvious what is a proper control. Changes in structure mean changes in stress, and that can affect the response from endogenous as well as exogenously expressed MSCs. Any pharmacological agent that might affect any cytoskeletal structure can change the stress on an MSC. Does anyone believe that amphipathic and lipophilic agents cannot affect the cytoskeleton? Do not freely apply drugs to cells unless you know the effects on the local stimulus. Genistein, for example is an excellent modulator of gramicidin channel gating in bilayers even though there is no kinase or substrate (29
). Those nonspecific effects may explain the discrepancy between the reported cell-attached mechanosensitivity of TRPC-6 (63
) and its insensitivity when measured directly (66
The all-encompassing ability of the cytoskeleton to control MSC activity is clear from whole cell recordings on adult heart cells (5
). Squeezing a cell with the side of a second pipette at 1 Hz/1 µm produced no current for minutes at a time. No current at all. After about 5 min, there was a large step of inward current, as though something had snapped, and the cell became mechanically responsive to every subsequent compression. That sensitivity slowly decreased over minutes as the cytoskeleton presumably repaired itself. Understanding this nonlinear hysteretic behavior is critical for interpreting the effects of mechanical transduction as is likely to occur in the study of mechanosensitive pain (1
). Actin reorganizes in seconds at sites of stress producing a “work hardening.” A mechanical stimulus given at one time will not be sensed to same degree as a supposed identical stimulus at a later time, and that changes with the history of stimulation. The cytoskeleton can transmit signals as fast as nerves (49
), so reorganization may not be local and will depend on the history of the stimulus: magnitude, waveshape, and repetition rate. The dynamic changes in compliance will also depend on the metabolic state of the cell and could clearly change with the time out of the incubator. There is no gold standard for mechanical stimulation.