Reference for Patch-Clamp Recording
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A Thermodynamic Description for Physiological Transmembrane Transport
A thermodynamic description for physiological transmembrane transport Marco Arieli Herrera-Valdez 1 1 Facultad de Ciencias, Universidad Nacional Autónoma de México marcoh@ciencias:unam:mx April 16, 2018 Abstract Physiological mechanisms for passive and active transmembrane transport have been theoretically described using many different approaches. A generic formulation for both passive and active transmem- brane transport, is derived from basic thermodynamical principles taking into account macroscopic forward and backward molecular fluxes, relative to a source compartment, respectively. Electrogenic fluxes also depend on the transmembrane potential and can be readily converted into currents. Interestingly, the conductance-based formulation for current is the linear approximation of the generic formulation for current, around the reversal potential. Also, other known formulas for current based on electrodiffusion turn out to be particular examples of the generic formulation. The applicability of the generic formulations is illustrated with models of transmembrane potential dynamics for cardiocytes and neurons. The generic formulations presented here provide a common ground for the biophysical study of physiological phenomena that depend on transmembrane transport. 1 Introduction One of the most important physiological mechanisms underlying communication within and between cells is the transport of molecules across membranes. Molecules can cross membranes either passively (Stein and Litman, 2014), or via active transport (Bennett, 1956). Passive transmembrane transport occurs through pores that may be spontaneously formed within the lipid bilayer (Blicher and Heimburg, 2013), or within transmembrane proteins called channels (Hille, 1992; Stein and Litman, 2014) that may be selective for particular ion types (Almers and McCleskey, 1984; Doyle et al., 1998; Favre et al., 1996). -
An Improved Voltage Clamp Circuit Suitable for Accurate Measurement of the Conduction Loss of Power Electronic Devices
sensors Article An Improved Voltage Clamp Circuit Suitable for Accurate Measurement of the Conduction Loss of Power Electronic Devices Qiuping Yu, Zhibin Zhao *, Peng Sun, Bin Zhao and Yumeng Cai State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China; [email protected] (Q.Y.); [email protected] (P.S.); [email protected] (B.Z.); [email protected] (Y.C.) * Correspondence: [email protected] Abstract: Power electronic devices are essential components of high-capacity industrial converters. Accurate assessment of their power loss, including switching loss and conduction loss, is essential to improving electrothermal stability. To accurately calculate the conduction loss, a drain–source voltage clamp circuit is required to measure the on-state voltage. In this paper, the conventional drain–source voltage clamp circuit based on a transistor is comprehensively investigated by theoretical analysis, simulations, and experiments. It is demonstrated that the anti-parallel diodes and the gate-shunt capacitance of the conventional drain–source voltage clamp circuit have adverse impacts on the accuracy and security of the conduction loss measurement. Based on the above analysis, an improved drain–source voltage clamp circuit, derived from the conventional drain–source voltage clamp circuit, is proposed to solve the above problems. The operational advantages, physical structure, and design guidelines of the improved circuit are fully presented. In addition, to evaluate the influence of component parameters on circuit performance, this article comprehensively extracts three electrical Citation: Yu, Q.; Zhao, Z.; Sun, P.; quantities as judgment indicators. Based on the working mechanism of the improved circuit and Zhao, B.; Cai, Y. -
Lecture 1: an Introduction to Plasticity and Cellular Electrophysiology
Lecture 1: An Introduction To Plasticity and Cellular Electrophysiology MCP 2003 Charge separation across a ATPase + semipermeable Ca++ 3Na ATPase membrane is the 2K+ (mM) basis of excitability. K+ = 140 + Na = 7 ++ + Ca Cl- = 7 3Na (mM) Ca++ = 1 x 10-4 co-transporter K+ =3 Na+ = 140 membrane pores Cl- = 140 with variable Ca++ = 1.5 permeability - + R - + m Cm gK+ gCl- gNa++ Convention: Current direction is defined by the direction of increasing positive charge. Na++ flux into a cell is an inward current. K+ flux out of a cell is an outward current. Cl- flux into a cell is an outward current. A depolarizing current is a net influx of + ions or a net efflux of negative ions. A hyperpolarizing current is a net efflux of + ions or a net influx of negative ions. I Outward rectification: when a membrane allows outward current (net + charge out) V to flow more easily than and inward current. Outward rectification I Inward rectification: when a membrane allows inward current to flow more easily V than an outward current. Inward rectification Methods of Measuring Function In Excitable Membranes Field potentials: measure current sources _ low pass filter and sinks from populations of neurons + across the electrode resistance. _ 0 Brain mV-V - t (sec) + Microelectrode extracellular recording: measures action potentials from a small _ number of neurons. 0 mV pulse amplitude window - Intracellular recording: can measure voltage, t (msec) band pass filter 1KHz-10KHz +40 0 Voltage clamp recording: resting membrane Can pass current to compensate -60 potential for voltage change. In this way voltage is held ~ constant and current applied to _ compensate is a measure of the current flowing. -
9.01 Introduction to Neuroscience Fall 2007
MIT OpenCourseWare http://ocw.mit.edu 9.01 Introduction to Neuroscience Fall 2007 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. 9.01 Recitation (R02) RECITATION #2: Tuesday, September 18th Review of Lectures: 3, 4 Reading: Chapters 3, 4 or Neuroscience: Exploring the Brain (3rd edition) Outline of Recitation: I. Previous Recitation: a. Questions on practice exam questions from last recitation? II. Review of Material: a. Exploiting Axoplasmic Transport b. Types of Glia c. THE RESTING MEMBRANE POTENTIAL d. THE ACTION POTENTIAL III. Practice Exam Questions IV. Questions on Pset? Exploiting Axoplasmic Transport: Maps connections of the brain Rates of transport: - slow: - fast: Examples: Uses anterograde transport: - Uses retrograde transport: - - - Types of Glia: - Microglia: - Astrocytes: - Myelinating Glia: 1 THE RESTING MEMBRANE POTENTIAL: The Cast of Chemicals: The Movement of Ions: Influences by two factors: (1) Diffusion: (2) Electricity: Ohm’s Law: I = gV Ionic Equilibrium Potentials (EION): + Example: ENs * diffusional and electrical forces are equal 2 Nernst Equation: EION = 2.303 RT/zF log [ion]0/[ion]i Calculates equilibrium potential for a SINGLE ion. Inside Outside EION (at 37°C) + [K ] + [Na ] 2+ [Ca ] [Cl ] *Pumps maintain concentration gradients (ex. sodiumpotassium pump; calcium pump) Resting Membrane Potential (VM at rest): Measured resting membrane potential: 65 mV Goldman Equation: + + + + VM = 61.54 mV log (PK[K ]o + PNa[Na ]o)/ (PK[K ]I + PNa[Na ]i) + + Calculates membrane potential when permeable to both Na and K . Remember: at REST, gK >>> gNa therefore, VM is closer to EK THE ACTION POTENTIAL (Nerve Impulse): Phases of an Action Potential: Vm (mV) ENa 0 EK Time 3 Conductance of Ion Channels during AP: Remember: Changes in conductance, or permeability of the membrane to a specific ion, changes the membrane potential. -
Recording Techniques
Electrophysiological Recording Techniques Wen-Jun Gao, PH.D. Drexel University College of Medicine Goal of Physiological Recording To detect the communication signals between neurons in real time (μs to hours) • Current clamp – measure membrane potential, PSPs, action potentials, resting membrane potential • Voltage clamp – measure membrane current, PSCs, voltage-ligand activated conductances 1 Current is conserved at a branch point A Typical Electrical Circuit Example of an electrical circuit with various parts. Current always flows in a complete circuit. 2 Resistors and Conductors Summation of Conductance: Conductances in parallel summate together, whether they are resistors or channels. Ohm's Law For electrophysiology, perhaps the most important law of electricity is Ohm's law. The potential difference between two points linked by a current path with a conductance G and a current I is: 3 Representative Voltmeter with Infinite Resistance Instruments used to measure potentials must have a very high input resistance Rin. Capacitors and Their Electrical Fields A charge Q is stored in a capacitor of value C held at a potential DeltaV. Q = C* delta V capacitance 4 Capacitors in Parallel Add Their Values Currents Through Capacitors Membrane Behavior Compared with an Electrical Current A A membrane behaves electrically like a capacitance in parallel with a resistance. B Now, if we apply a pulse of current to the circuit, the current first charges up the Response of an RC parallel capacitance, then changes circuit to a step of current the voltage 5 The voltage V(t) approaches steady state along an exponential time course: The steady-state value Vinf (also called the infinite-time or equilibrium value) does not depend on the capacitance; it is simply determined by the current I and the membrane resistance R: This is just Ohm's law, of course; but when the membrane capacitance is in the circuit, the voltage is not reached immediately. -
Nernst Equation - Wikipedia 1 of 10
Nernst equation - Wikipedia 1 of 10 Nernst equation In electrochemistry, the Nernst equation is an equation that relates the reduction potential of an electrochemical reaction (half-cell or full cell reaction) to the standard electrode potential, temperature, and activities (often approximated by concentrations) of the chemical species undergoing reduction and oxidation. It was named after Walther Nernst, a German physical chemist who formulated the equation.[1][2] Contents Expression Nernst potential Derivation Using Boltzmann factor Using thermodynamics (chemical potential) Relation to equilibrium Limitations Time dependence of the potential Significance to related scientific domains See also References External links Expression A quantitative relationship between cell potential and concentration of the ions Ox + z e− → Red standard thermodynamics says that the actual free energy change ΔG is related to the free o energy change under standard state ΔG by the relationship: where Qr is the reaction quotient. The cell potential E associated with the electrochemical reaction is defined as the decrease in Gibbs free energy per coulomb of charge transferred, which leads to the relationship . The constant F (the Faraday constant) is a unit conversion factor F = NAq, where NA is Avogadro's number and q is the fundamental https://en.wikipedia.org/wiki/Nernst_equation Nernst equation - Wikipedia 2 of 10 electron charge. This immediately leads to the Nernst equation, which for an electrochemical half-cell is . For a complete electrochemical reaction -
The Current-/Voltage-Clamp
SimNeuron Tutorial 1 SimNeuron Current-and Voltage-Clamp Experiments in Virtual Laboratories Tutorial Contents: 1. Lab Design 2. Basic CURRENT-CLAMP Experiments 2.1 Action Potential, Conductances and Currents. 2.2 Passive Responses and Local Potentials 2.3 The Effects of Stimulus Amplitude and Duration. 2.4 Induction of Action Potential Sequences 2.5 How to get a New Neuron? 3. Basic VOLTAGE-CLAMP Experiments 3.1 Capacitive and Voltage-dependent Currents 3.2 RC-Compensation 3.3 Inward and outward currents. 3.4 Changed command potentials. 3.5 I-V-Curves and “Reversal Potential” 3.6 Reversal Potentials 3.7 Tail Currents 4. The Neuron Editor 5. Pre-Settings 2 SimNeuron Tutorial 1. Lab Design We have kept the screen design as simple as possible for easy accessible voltage- and current-clamp experiments, not so much focusing on technical details of experimentation but on a thorough understanding of neuronal excitability in comparison of current-clamp and voltage-clamp recordings. The Current-Clamp lab and Voltage-Clamp lab are organized in the same way. On the left hand side, there is a selection box of the already available neurons with several control buttons for your recordings, including a schematic drawing the experimental set-up. The main part of the screen (on the right) is reserved for the diagrams where stimuli can be set and recordings will be displayed. Initially, you will be in the Current-Clamp mode where you will only see a current-pulse (in red) in the lower diagram while the upper diagram should be empty. Entering the Voltage-Clamp mode you will find a voltage-pulse in the upper diagram (in blue) with an empty lower diagram. -
Chapter 7 Transport of Ions in Solution and Across Membranes
Chapter 7 Transport of ions in solution and across membranes 7-1. Introduction 7-2. Ionic fluxes in solutions 7-2.1. Fluxes due to an electrical field in a solution 7-2.2. Flux due to an electrochemical potential gradient 7-3. Transmembrane potentials 7-3.1. The Nernst potential, the single ion case where the flux is zero 7-3.2. Current-voltage relationships of ionic channels 7-3.3. The constant field approximation 7-3.4. The case of a neutral particle 7-4. The resting transmembrane potential, ER 7-4.1. Goldman-Hodgkin-Katz expression for the resting potential 7-4.2. Gibbs-Donnan equilibrium and the Donnan potential 7-4.3. Electrodiffusion 7-5. Patch clamp studies of single-channel kinetics 7-6. The action potential in excitable cells 7-6.1. Neuronal currents 7-6.2. The Hodgkin-Huxley nerve action potential 7-6.3. The voltage clamp methods for measuring transmembrane currents 7-6.4. Functional behavior of the nerve axon action potential 7-6.5. Cardiac and other action potentials 7-7. Propagation of the action potential 7-7.1. The cable equations 7-7.2. The velocity of propagation 7-8. Maintaining ionic balance: Pumps and exchangers 7-9. Volume changes with ionic fluxes 7-10. Summary 7-11. Further reading 7-12. Problems 7-13. References 7-13.1. References from previous reference list not appearing in current text or references This chapter lacks the following: Tables and programs. Completion of later parts on the pumps. Complete cross referencing. Improvements in Figures. -
Voltage and Current Clamp Transients with Membrane Dielectric Loss
VOLTAGE AND CURRENT CLAMP TRANSIENTS WITH MEMBRANE DIELECTRIC LOSS R. FITZHUGH and K. S. COLE From the Laboratory of Biophysics, National Institute ofNeurological Diseases and Stroke, National Institutes of Health, Bethesda, Maryland 20014 ABsrRAcr Transient responses of a space-clamped squid axon membrane to step changes of voltage or current are often approximated by exponential functions of time, corresponding to a series resistance and a membrane capacity of 1.0 M&F/cm2. Curtis and Cole (1938, J. Gen. Physiol. 21:757) found, however, that the membrane had a constant phase angle impedance z = zi(jwcr), with a mean a = 0.85. (a = 1.0 for an ideal capacitor; a < 1.0 may represent dielectric loss.) This result is supported by more recently published experimental data. For comparison with experiments, we have computed functions expressing voltage and current transients with constant phase angle capacitance, a parallel leakage conductance, and a series resistance, at nine values of a from 0.5 to 1.0. A series in powers of ta provided a good approxima- tion for short times; one in powers of tr, for long times; for intermediate times, a rational approximation matching both series for a finite number of terms was used. These computations may help in determining experimental series resistances and parallel leakage conductances from membrane voltage or current clamp data. INTRODUCTION The sequence of events after the application of a step change of potential across a membrane in a voltage clamp is described as: (a) a capacitive transient of current as the change of potential is being established across the capacity of the membrane, followed by (b) the linear instantaneous leakage and other currents produced by ap- preciable ionic conductances, after which (c) the current changes according to the changes of the ionic conductances. -
Voltage-Clamp Analysis of Sodium Channels in Wild-Type and Mutant Drosophila Neurons
The Journal of Neuroscience, October 1988, &IO): 3633-3643 Voltage-Clamp Analysis of Sodium Channels in Wild-type and Mutant Drosophila Neurons Diane K. O’Dowd and Richard W. Aldrich Department of Neurobiology, Stanford University School of Medicine, Stanford, California 94305 In this study we describe a preparation in which we examined of neuronal sodium channels.However, direct physiological ex- directly, using tight-seal whole-cell recording, sodium cur- amination of sodium currents in adult and larval Drosophila rents from embryonic Drosophila neurons maintained in cul- neurons has proven difficult due to the small size and relative ture. Sodium currents were expressed in approximately 65% inaccessibility of the neurons. With the goal of identifying re- of the neurons prepared from wild-type Drosophila embryos gions of the Drosophila genome important in the functional when examined at room temperature, 24 hr after plating. expressionof neuronal sodium channels, including both genes While current density was low, other features of the sodium coding for structural components of the channels and those current in wild-type neurons, including the voltage sensitiv- involved in their regulation, we have utilized a preparation in ity, steady-state inactivation, macroscopic time course, and which we could biophysically examine isolated neuronal sodium TTX sensitivity were similar to those found in other excitable currents (Seecof, 1979; Byerly, 1985). In this article we describe cells. Physiological and biochemical evidence has led to the conditions in which voltage-clamped sodium currents can be suggestion that mutations in the nap, seizure, and tip-E loci studied in cultured Drosophila neurons from both wild-type and of Drosophila may affect voltage-dependent sodium chan- mutant embryos. -
SN74TVC3306 Dual Voltage Clamp Datasheet
Product Sample & Technical Tools & Support & Folder Buy Documents Software Community SN74TVC3306 SCDS112D –MARCH 2001–REVISED DECEMBER 2014 SN74TVC3306 Dual Voltage Clamp 1 Features 3 Description The SN74TVC3306 device provides three parallel 1• Designed to Be Used in Voltage-Limiting Applications NMOS pass transistors with a common unbuffered gate. The low on-state resistance of the switch allows • 3.5-Ω On-State Connection Between connections to be made with minimal propagation Ports A and B delay. • Flow-Through Pinout for Ease of Printed Circuit The device can be used as a dual switch, with the Board Trace Routing gates cascaded together to a reference transistor. • Direct Interface With GTL+ Levels The low-voltage side of each pass transistor is limited • Latch-Up Performance Exceeds 100 mA Per to a voltage set by the reference transistor. This is JESD 78, Class II done to protect components with inputs that are sensitive to high-state voltage-level overshoots. • ESD Protection Exceeds JESD 22 – 2000-V Human-Body Model Device Information(1) – 200-V Machine Model PART NUMBER PACKAGE BODY SIZE (NOM) – 1000-V Charged-Device Model SM8 (8) 3.00 mm x 2.80 mm SN74TVC3306 US8 (8) 2.30 mm x 2.00 mm 2 Applications (1) For all available packages, see the orderable addendum at • Voltage Level Translation the end of the data sheet. • Signal Switching • Bus Isolation 4 Simplified Schematic GATE B1 B2 B3 8 7 6 5 1 2 3 4 GND A1 A2 A3 The SN74TVC3306 device has bidirectional capability across many voltage levels. The voltage levels documented in this data sheet are examples. -
Constant-Field Equation” in Membrane Ion Transport
Milestone in Physiology JGP 100th Anniversary The enduring legacy of the “constant-field equation” in membrane ion transport Osvaldo Alvarez1 and Ramon Latorre2 1Departamento de Biología, Facultad de Ciencias, Santiago, Chile 2Centro Interdisciplinario de Neurociencia de Valparaíso, Facultad de Ciencias, Universidad de Valparaíso, Valparaíso, Chile In 1943, David Goldman published a seminal paper in The Journal of General Physiology that reported a concise expression for the membrane current as a function of ion concentrations and voltage. This body of work was, and still is, the theoretical pillar used to interpret the relationship between a cell’s membrane potential and its exter- nal and/or internal ionic composition. Here, we describe from an historical perspective the theory underlying the constant-field equation and its application to membrane ion transport. 2 2 z i FV /RT ______P i z i F V _____________C i ,in e − C i ,out Introduction I i = , (1) RT ( e z i FV /RT − 1 ) The Goldman (1943) paper is, perhaps, one of the most well-known articles published in The Journal of General where Ii is the current density carried by ion i, Pi is the Physiology. Because of the great impact that this article permeability coefficient, zi the valence of ion I, V is the still has on the study of transport of ions across mem- membrane voltage, Ci,in and Ci,out are the ion concentra- branes, the JGP editorial board thought that it deserved tions in the solutions bathing either side of the mem- some discussion and comments. brane, and R, T, and F have their usual meaning.