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Ion Channels Lecture 1 –Membrane Potentials: Ion Movement - Forces and Measurement. The relative permeability of a lipid bilayer to different classes of molecules. Alberts et al. Membrane Transport Proteins. Figure 15.3 – Lodish et al., Molecular Cell Biology, 4 th edition.
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Ion Channels Lecture 1 –Membrane Potentials: Ion Movement - Forces and Measurement
The relative permeability of a lipid bilayer to different classes of molecules Alberts et al.
Membrane Transport Proteins Figure 15.3 – Lodish et al., Molecular Cell Biology, 4th edition
The distribution of unbalanced charges at the membrane boundary accounts for the membrane potential V = Q / C C = A / 4 d
Distribution of Ions and theResting Potential Na+ = 15 mM Na+ = 145 mM K+ = 145 mM K+ = 5 mM Cl- = 10 mM Cl- = 125 mM Ca++ = 2 mM Ca++ = .0001 mM
Understanding the Nernst potential • EK is the Nernst potential for K ions. It is often called the equilibrium potential for K. • Equilibrium means there is no net movement of K ions across the membrane. This occurs when there is no energy difference between inside and outside. • Two kinds of energy are important: chemical and electricalChemical energy = o+RTlnC per mole of ion Electrical energy = zFV per mole of ion where F is the Faraday constant 96,500 coulombs/mole or 23,602 cal mol-1V-1
Understanding the Nernst potential (2) • At equilibrium, the total energy (chemical + electrical) is the same on both sides of the membrane. In other words, the chemical energy difference across the membrane is counterbalanced by an equal and opposite electrical energy difference. • Consider a membrane, set up with concentrated KCl on the left and dilute KCl on the right. Now let the membrane suddenly become permeable to K ions. A tiny amount of K leaves the concentrated side and enters the dilute side. This leads to charge separation, and a voltage difference across the membrane.
Equlibrium potentials for major permeable ionic species In myocytes: ENa = 61 log (145/15) = + 60 mV ECa = 30.5 log (2/.0001) = + 131 mV ECl = -61 log (125/ 10) = - 67 mV EK = 61 log (5/ 145) = - 89 mV
Ohm’s Law V = I R => I = V/R or I = g V (where g = 1/R)
The direction of ion movement An example: • Chemical vs electrical force and Net force • Ohms law • Rule of thumb: Whenever Vm is more negative than Ex, the current is inward. Whenever Vm is more positive than Ex, the current is outward. At Ex the current is zero (i.e. equilibrium) • Whenever an ion channel opens and ions move down the electrochemical gradient, the membrane potential will move towards the equilibrium potential for that ion