1
|
Laurent Q, Martinent R, Lim B, Pham AT, Kato T, López-Andarias J, Sakai N, Matile S. Thiol-Mediated Uptake. JACS AU 2021; 1:710-728. [PMID: 34467328 PMCID: PMC8395643 DOI: 10.1021/jacsau.1c00128] [Citation(s) in RCA: 67] [Impact Index Per Article: 22.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/18/2021] [Indexed: 05/19/2023]
Abstract
This Perspective focuses on thiol-mediated uptake, that is, the entry of substrates into cells enabled by oligochalcogenides or mimics, often disulfides, and inhibited by thiol-reactive agents. A short chronology from the initial observations in 1990 until today is followed by a summary of cell-penetrating poly(disulfide)s (CPDs) and cyclic oligochalcogenides (COCs) as privileged scaffolds in thiol-mediated uptake and inhibitors of thiol-mediated uptake as potential antivirals. In the spirit of a Perspective, the main part brings together topics that possibly could help to explain how thiol-mediated uptake really works. Extreme sulfur chemistry mostly related to COCs and their mimics, cyclic disulfides, thiosulfinates/-onates, diselenolanes, benzopolysulfanes, but also arsenics and Michael acceptors, is viewed in the context of acidity, ring tension, exchange cascades, adaptive networks, exchange affinity columns, molecular walkers, ring-opening polymerizations, and templated polymerizations. Micellar pores (or lipid ion channels) are considered, from cell-penetrating peptides and natural antibiotics to voltage sensors, and a concise gallery of membrane proteins, as possible targets of thiol-mediated uptake, is provided, including CLIC1, a thiol-reactive chloride channel; TMEM16F, a Ca-activated scramblase; EGFR, the epithelial growth factor receptor; and protein-disulfide isomerase, known from HIV entry or the transferrin receptor, a top hit in proteomics and recently identified in the cellular entry of SARS-CoV-2.
Collapse
Affiliation(s)
- Quentin Laurent
- Department of Organic Chemistry, University of Geneva, 1211 Geneva, Switzerland
| | - Rémi Martinent
- Department of Organic Chemistry, University of Geneva, 1211 Geneva, Switzerland
| | - Bumhee Lim
- Department of Organic Chemistry, University of Geneva, 1211 Geneva, Switzerland
| | - Anh-Tuan Pham
- Department of Organic Chemistry, University of Geneva, 1211 Geneva, Switzerland
| | - Takehiro Kato
- Department of Organic Chemistry, University of Geneva, 1211 Geneva, Switzerland
| | | | - Naomi Sakai
- Department of Organic Chemistry, University of Geneva, 1211 Geneva, Switzerland
| | - Stefan Matile
- Department of Organic Chemistry, University of Geneva, 1211 Geneva, Switzerland
| |
Collapse
|
2
|
Abstract
Electroporation is a widely used technique to permeabilize cell membranes. Despite its prevalence, our understanding of the mechanism of voltage-mediated pore formation is incomplete; methods capable of visualizing the time-dependent behavior of individual electropores would help improve our understanding of this process. Here, using optical single-channel recording, we track multiple isolated electropores in real time in planar droplet interface bilayers. We observe individual, mobile defects that fluctuate in size, exhibiting a range of dynamic behaviors. We observe fast (25 s(-1)) and slow (2 s(-1)) components in the gating of small electropores, with no apparent dependence on the applied potential. Furthermore, we find that electropores form preferentially in the liquid disordered phase. Our observations are in general supportive of the hydrophilic toroidal pore model of electroporation, but also reveal additional complexity in the interactions, dynamics, and energetics of electropores.
Collapse
|
3
|
Haji Hasani M, Gharibzadeh S, Farjami Y, Tavakkoli J. Investigating the effect of thermal stress on nerve action potential using the soliton model. ULTRASOUND IN MEDICINE & BIOLOGY 2015; 41:1668-1680. [PMID: 25952315 DOI: 10.1016/j.ultrasmedbio.2014.07.007] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/15/2014] [Revised: 07/04/2014] [Accepted: 07/11/2014] [Indexed: 06/04/2023]
Abstract
The thermal mechanism of acoustic modulation of the reversible electrical activities of peripheral nerves is investigated using the soliton model, and a numerical solution is presented for its non-homogenous version. Our results indicate that heating a small segment of the nerve will increase the action potential conduction velocity and decrease its amplitude. Moreover, cooling the nerve will have the reverse effects, and cooling to temperatures below the nerve melting point can reflect back a significant portion of the action potentials. These results are consistent with the theory of the soliton model, as well as with the experimental findings. Although there exists a discrepancy between the results of the soliton model and experimental pulse amplitude data, from the free energy point of view, the experiments are compatible with Heimburg and Jackson theory. We conclude that the presented model accompanied by the free energy view is capable of simulating the effects of thermal energy on nerve function. One potential application of the developed theoretical model will be investigation of the reversible and irreversible effects of thermal energy induced by various energy modalities, including therapeutic ultrasound, on nerve function.
Collapse
Affiliation(s)
- Mojtaba Haji Hasani
- Department of Biomedical Engineering, Amirkabir University of Technology, Tehran, Iran
| | - Shahriar Gharibzadeh
- Department of Biomedical Engineering, Amirkabir University of Technology, Tehran, Iran.
| | - Yaghoub Farjami
- Department of Computer Engineering, Qom University, Qom, Iran
| | - Jahan Tavakkoli
- Department of Physics, Ryerson University, Toronto, ON, Canada
| |
Collapse
|
4
|
Umezu T, Shibata Y. Different behavioral effect dose-response profiles in mice exposed to two-carbon chlorinated hydrocarbons: influence of structural and physical properties. Toxicol Appl Pharmacol 2014; 279:103-12. [PMID: 24910396 DOI: 10.1016/j.taap.2014.05.012] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/28/2014] [Revised: 04/30/2014] [Accepted: 05/27/2014] [Indexed: 11/24/2022]
Abstract
The present study aimed to clarify whether dose-response profiles of acute behavioral effects of 1,2-dichloroethane (DCE), 1,1,1-trichloroethane (TCE), trichloroethylene (TRIC), and tetrachloroethylene (PERC) differ. A test battery involving 6 behavioral endpoints was applied to evaluate the effects of DCE, TCE, TRIC, and PERC in male ICR strain mice under the same experimental conditions. The behavioral effect dose-response profiles of these compounds differed. Regression analysis was used to evaluate the relationship between the dose-response profiles and structural and physical properties of the compounds. Dose-response profile differences correlated significantly with differences in specific structural and physical properties. These results suggest that differences in specific structural and physical properties of DCE, TCE, TRIC, and PERC are responsible for differences in behavioral effects that lead to a variety of dose-response profiles.
Collapse
Affiliation(s)
- Toyoshi Umezu
- Center for Environmental Measurement and Analysis, National Institute for Environmental Studies, Tsukuba, Ibaraki 305-8506, Japan.
| | - Yasuyuki Shibata
- Center for Environmental Measurement and Analysis, National Institute for Environmental Studies, Tsukuba, Ibaraki 305-8506, Japan.
| |
Collapse
|
5
|
Gurnev PA, Yang ST, Melikov KC, Chernomordik LV, Bezrukov SM. Cationic cell-penetrating peptide binds to planar lipid bilayers containing negatively charged lipids but does not induce conductive pores. Biophys J 2013; 104:1933-9. [PMID: 23663836 DOI: 10.1016/j.bpj.2013.02.053] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/12/2012] [Revised: 01/29/2013] [Accepted: 02/27/2013] [Indexed: 11/18/2022] Open
Abstract
Using a cation-selective gramicidin A channel as a sensor of the membrane surface charge, we studied interactions of oligoarginine peptide R9C, a prototype cationic cell-penetrating peptide (CPP), with planar lipid membranes. We have found that R9C sorption to the membrane depends strongly on its lipid composition from virtually nonexistent for membranes made of uncharged lipids to very pronounced for membranes containing negatively charged lipids, with charge overcompensation at R9C concentrations exceeding 1 μM. The sorption was reversible as it was removed by addition of polyanionic dextran sulfate to the membrane bathing solution. No membrane poration activity of R9C (as would be manifested by increased bilayer conductance) was detected in the charged or neutral membranes, including those with asymmetric negative/neutral and negative/positive lipid leaflets. We conclude that interaction of R9C with planar lipid bilayers does not involve pore formation in all studied lipid combinations up to 20 μM peptide concentration. However, R9C induces leakage of negatively charged but not neutral liposomes in a process that involves lipid mixing between liposomes. Our findings suggest that direct traversing of CPPs through the uncharged outer leaflet of the plasma membrane bilayer is unlikely and that permeabilization necessarily involves both anionic lipids and CPP-dependent fusion between opposing membranes.
Collapse
Affiliation(s)
- Philip A Gurnev
- Department of Physics, University of Massachusetts, Amherst, Massachusetts, USA.
| | | | | | | | | |
Collapse
|
6
|
Abstract
Synthetic lipid membranes can display channel-like ion conduction events even in the absence of proteins. We show here that these events are voltage-gated with a quadratic voltage dependence as expected from electrostatic theory of capacitors. To this end, we recorded channel traces and current histograms in patch-experiments on lipid membranes. We derived a theoretical current-voltage relationship for pores in lipid membranes that describes the experimental data very well when assuming an asymmetric membrane. We determined the equilibrium constant between closed and open state and the open probability as a function of voltage. The voltage-dependence of the lipid pores is found comparable to that of protein channels. Lifetime distributions of open and closed events indicate that the channel open distribution does not follow exponential statistics but rather power law behavior for long open times.
Collapse
Affiliation(s)
- Andreas Blicher
- Membrane Biophysics Group, Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark
| | - Thomas Heimburg
- Membrane Biophysics Group, Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark
| |
Collapse
|
7
|
Laub KR, Witschas K, Blicher A, Madsen SB, Lückhoff A, Heimburg T. Comparing ion conductance recordings of synthetic lipid bilayers with cell membranes containing TRP channels. BIOCHIMICA ET BIOPHYSICA ACTA-BIOMEMBRANES 2012; 1818:1123-34. [PMID: 22305677 DOI: 10.1016/j.bbamem.2012.01.014] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/14/2011] [Revised: 12/23/2011] [Accepted: 01/17/2012] [Indexed: 10/14/2022]
Abstract
In this article we compare electrical conductance events from single channel recordings of three TRP channel proteins (TRPA1, TRPM2 and TRPM8) expressed in human embryonic kidney cells with channel events recorded on synthetic lipid membranes close to melting transitions. Ion channels from the TRP family are involved in a variety of sensory processes including thermo- and mechano-reception. Synthetic lipid membranes close to phase transitions display channel-like events that respond to stimuli related to changes in intensive thermodynamic variables such as pressure and temperature. TRP channel activity is characterized by typical patterns of current events dependent on the type of protein expressed. Synthetic lipid bilayers show a wide spectrum of electrical phenomena that are considered typical for the activity of protein ion channels. We find unitary currents, burst behavior, flickering, multistep-conductances, and spikes behavior in both preparations. Moreover, we report conductances and lifetimes for lipid channels as described for protein channels. Non-linear and asymmetric current-voltage relationships are seen in both systems. Without further knowledge of the recording conditions, no easy decision can be made whether short current traces originate from a channel protein or from a pure lipid membrane.
Collapse
Affiliation(s)
- Katrine R Laub
- Membrane Biophysics Group, Niels Bohr Institute, University of Copenhagen, Denmark
| | | | | | | | | | | |
Collapse
|
8
|
Chui JKW, Fyles TM. Ionic conductance of synthetic channels: analysis, lessons, and recommendations. Chem Soc Rev 2012; 41:148-75. [DOI: 10.1039/c1cs15099e] [Citation(s) in RCA: 141] [Impact Index Per Article: 11.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
|
9
|
Shao C, Sun B, Colombini M, Devoe DL. Rapid microfluidic perfusion enabling kinetic studies of lipid ion channels in a bilayer lipid membrane chip. Ann Biomed Eng 2011; 39:2242-51. [PMID: 21556947 DOI: 10.1007/s10439-011-0323-4] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/15/2011] [Accepted: 05/02/2011] [Indexed: 01/23/2023]
Abstract
There is growing recognition that lipids play key roles in ion channel physiology, both through the dynamic formation and dissolution of lipid ion channels and by indirect regulation of protein ion channels. Because existing technologies cannot rapidly modulate the local (bio)chemical conditions at artificial bilayer lipid membranes used in ion channel studies, the ability to elucidate the dynamics of these lipid-lipid and lipid-protein interactions has been limited. Here we demonstrate a microfluidic system supporting exceptionally rapid perfusion of reagents to an on-chip bilayer lipid membrane, enabling the responses of lipid ion channels to dynamic changes in membrane boundary conditions to be probed. The thermoplastic microfluidic system allows initial perfusion of reagents to the membrane in less than 1 s, and enables kinetic behaviors with time constants below 10 s to be directly measured. Application of the platform is demonstrated toward kinetic studies of ceramide, a biologically important lipid known to self-assemble into transmembrane ion channels, in response to dynamic treatments of small ions (La(3+)) and proteins (Bcl-x(L) mutant). The results reveal the broader potential of the technology for studies of membrane biophysics, including lipid ion channel dynamics, lipid-protein interactions, and the regulation of protein ion channels by lipid micro domains.
Collapse
Affiliation(s)
- Chenren Shao
- Department of Mechanical Engineering, University of Maryland, College Park, MD 20742, USA
| | | | | | | |
Collapse
|
10
|
A lipocentric view of peptide-induced pores. EUROPEAN BIOPHYSICS JOURNAL: EBJ 2011; 40:399-415. [PMID: 21442255 PMCID: PMC3070086 DOI: 10.1007/s00249-011-0693-4] [Citation(s) in RCA: 88] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/08/2010] [Accepted: 03/03/2011] [Indexed: 01/26/2023]
Abstract
Although lipid membranes serve as effective sealing barriers for the passage of most polar solutes, nonmediated leakage is not completely improbable. A high activation energy normally keeps unassisted bilayer permeation at a very low frequency, but lipids are able to self-organize as pores even in peptide-free and protein-free membranes. The probability of leakage phenomena increases under conditions such as phase coexistence, external stress or perturbation associated to binding of nonlipidic molecules. Here, we argue that pore formation can be viewed as an intrinsic property of lipid bilayers, with strong similarities in the structure and mechanism between pores formed with participation of peptides, lipidic pores induced by different types of stress, and spontaneous transient bilayer defects driven by thermal fluctuations. Within such a lipocentric framework, amphipathic peptides are best described as pore-inducing rather than pore-forming elements. Active peptides bound to membranes can be understood as a source of internal surface tension which facilitates pore formation by diminishing the high activation energy barrier. This first or immediate action of the peptide has some resemblance to catalysis. However, the presence of membrane-active peptides has the additional effect of displacing the equilibrium towards the pore-open state, which is then maintained over long times, and reducing the size of initial individual pores. Thus, pore-inducing peptides, regardless of their sequence and oligomeric organization, can be assigned a double role of increasing the probability of pore formation in membranes to high levels as well as stabilizing these pores after they appear.
Collapse
|
11
|
Heimburg T. Lipid ion channels. Biophys Chem 2010; 150:2-22. [DOI: 10.1016/j.bpc.2010.02.018] [Citation(s) in RCA: 101] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2010] [Revised: 02/27/2010] [Accepted: 02/27/2010] [Indexed: 10/19/2022]
|
12
|
Blicher A, Wodzinska K, Fidorra M, Winterhalter M, Heimburg T. The temperature dependence of lipid membrane permeability, its quantized nature, and the influence of anesthetics. Biophys J 2009; 96:4581-91. [PMID: 19486680 DOI: 10.1016/j.bpj.2009.01.062] [Citation(s) in RCA: 128] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/30/2008] [Revised: 01/12/2009] [Accepted: 01/13/2009] [Indexed: 10/20/2022] Open
Abstract
We investigate the permeability of lipid membranes for fluorescence dyes and ions. We find that permeability reaches a maximum close to the chain melting transition of the membranes. Close to transitions, fluctuations in area and compressibility are high, leading to an increased likelihood of spontaneous lipid pore formation. Fluorescence correlation spectroscopy reveals the permeability for rhodamine dyes across 100-nm vesicles. Using fluorescence correlation spectroscopy, we find that the permeability of vesicle membranes for fluorescence dyes is within error proportional to the excess heat capacity. To estimate defect size we measure the conductance of solvent-free planar lipid bilayer. Microscopically, we show that permeation events appear as quantized current events very similar to those reported for channel proteins. Further, we demonstrate that anesthetics lead to a change in membrane permeability that can be predicted from their effect on heat capacity profiles. Depending on temperature, the permeability can be enhanced or reduced. We demonstrate that anesthetics decrease channel conductance and ultimately lead to blocking of the lipid pores in experiments performed at or above the chain melting transition. Our data suggest that the macroscopic increase in permeability close to transitions and microscopic lipid ion channel formation are the same physical process.
Collapse
Affiliation(s)
- Andreas Blicher
- Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark
| | | | | | | | | |
Collapse
|
13
|
Melikov KC, Frolov VA, Shcherbakov A, Samsonov AV, Chizmadzhev YA, Chernomordik LV. Voltage-induced nonconductive pre-pores and metastable single pores in unmodified planar lipid bilayer. Biophys J 2001; 80:1829-36. [PMID: 11259296 PMCID: PMC1301372 DOI: 10.1016/s0006-3495(01)76153-x] [Citation(s) in RCA: 174] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
Abstract
Electric fields promote pore formation in both biological and model membranes. We clamped unmodified planar bilayers at 150-550 mV to monitor transient single pores for a long period of time. We observed fast transitions between different conductance levels reflecting opening and closing of metastable lipid pores. Although mean lifetime of the pores was 3 +/- 0.8 ms (250 mV), some pores remained open for up to approximately 1 s. The mean amplitude of conductance fluctuations (approximately 500 pS) was independent of voltage and close for bilayers of different area (40,000 and 10 microm(2)), indicating the local nature of the conductive defects. The distribution of pore conductance was rather broad (dispersion of approximately 250 pS). Based on the conductance value and its dependence of the ion size, the radius of the average pore was estimated as approximately 1 nm. Short bursts of conductance spikes (opening and closing of pores) were often separated by periods of background conductance. Within the same burst the conductance between spikes was indistinguishable from the background. The mean time interval between spikes in the burst was much smaller than that between adjacent bursts. These data indicate that opening and closing of lipidic pores proceed through some electrically invisible (silent) pre-pores. Similar pre-pore defects and metastable conductive pores might be involved in remodeling of cell membranes in different biologically relevant processes.
Collapse
Affiliation(s)
- K C Melikov
- A. N. Frumkin Institute of Electrochemistry, Russian Academy of Sciences, Moscow, 117071 Russia
| | | | | | | | | | | |
Collapse
|
14
|
Abstract
The appearance of ion channels was induced in phospholipid bilayers by acidification of the bulk solution on one side Of the bilayer, by addition of HCl, acetic acid or by hydrolytic production of protons using purified acetylcholinesterase. Further acidification below an apparent critical pH range led to restoration of a low conductance state similar to that seen at neutral pH. Such experiments were performed with a heterogeneous soybean lecithin extract, with homogeneous synthetic diphytanoylphosphatidylcholine, and with a mixture of cholesterol and synthetic dioleoylphosphatidylcholine. It is proposed that the physical mechanism for this phenomenon involves fluctuations of lipid order induced by fluctuations in protonation of phospholipid head groups within a critical pH range; these, in turn, create conductive defects in the two-dimensional lattice of the lipid bilayer.
Collapse
|
15
|
Andersen OS. Ion movement through gramicidin A channels. Single-channel measurements at very high potentials. Biophys J 1983; 41:119-33. [PMID: 6188500 PMCID: PMC1329161 DOI: 10.1016/s0006-3495(83)84414-2] [Citation(s) in RCA: 203] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023] Open
Abstract
The patch-clamp technique of Mueller (1975, Ann. N.Y. Acad. Sci., 274:247-264) and Neher and Sakmann (1976, Nature (Lond.), 260:799-802) was modified to be suitable for single-channel measurements in lipid bilayers at potentials up to 500 mV. This method was used to study gramicidin A single-channel current-voltage characteristics. It was found that the sublinear current-voltage behavior normally observed at low permeant ion concentrations and rather low potentials (V less than or equal to 200 mV) continues to be seen all the way up to 500 mV. This phenomenon is characteristic of the low permeant ion situation in which the channel is far from saturation, and implies that the overall rate constant for association between ion and channel is very weakly, if at all, voltage dependent. The magnitude of the single channel currents at 500 mV is consistent with the notion that the aqueous convergence conductance is a significant factor in determining the permeability characteristics of the gramicidin A channel.
Collapse
|
16
|
Lakshminarayanaiah N. Transport processes in membranes: a consideration of membrane potential across thick and thin membranes. Subcell Biochem 1979; 6:401-94. [PMID: 377586 DOI: 10.1007/978-1-4615-7945-8_7] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
|
17
|
|
18
|
Hoffman RA, Long DD, Arndt RA, Roper LD. Voltage-clamp experiments on oxidized cholesterol membranes modified with excitability-inducing material and comparison with a model. BIOCHIMICA ET BIOPHYSICA ACTA 1976; 455:780-95. [PMID: 999940 DOI: 10.1016/0005-2736(76)90048-1] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
Abstract
The conductance of oxidized cholesterol membranes modified with excitability-inducing material was observed in membranes containing either single conductance channels or 100-1000 channels. Membranes containing single channels have several conductance states for each voltage polarity, and the current through membranes containing manychannels decays with at least two, and probably three, time constants following a step change in voltage (voltage-clamp). The time constants differ by about an order of magnitude. The multi-state behavior seems more pronounced in membranes made from highly oxidized cholesterol. Although a given conductance state could occur at either positive or negative voltages, each state was much more frequent at one polarity or the other. The most frequently observed single-channel conductance states in 0.1 M NaCl are about 0.3, 0.1, 0.03, and 0.0 n-1 for negative voltages and 0.25, 0.05, 0.03, and 0.0 n-1 for positive voltages. The current following a voltage clamp decays to a quasi-steady state within 1 min for positive voltages and 1-15 min for negative voltages. When the holding voltage is --20 mV, the decay constants and quasi-steady state conductances as functions of clamping voltage are reasonably well described by either a three-state model of the conductance or a two-state model applied independently at negative and positive voltages. However, for high voltages, the quasi-steady state does not appear to approach a state in which all the channels are in a low conductance state.
Collapse
|
19
|
Abstract
The basic principles underlying fluctuation phenomena in thermodynamics have long been understood (for reviews see Kubo, 1957; Kubo, Matsuo & Kazuhiro 1973 Lax, 1960). Classical examples of how fluctuation analysis can provide an insight into the corpuscular nature of matter are the determination of Avogadro's number according to Einstein's theory of Brownian motion (see, e.g. Uhlenbeck & Ornstein, 1930; Kac, 1947) and the evaluation of the electronic charge from the shot noise in vacuum tubes (see Van der Ziel, 1970).
Collapse
|