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Membrane Transport A Thermodynamic Perspective
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4 ways to penetrate the Cell Membrane
Simple Diffusion Passive transport (facilitated diffusion) Active transport (energy-dependent) Receptor-mediated endocytosis
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Simple Diffusion Initial Final High Low
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= the chemical potential of A
GA = the chemical potential of A (also called the partial molar free energy) GA o' = chemical potential of standard state GA – GAo = RTln[A] (free energy varies with conc. A) GA = GA(in) - GA(out) (final - initial) GA = GA(in) - GA(out) = RTln [A]in [A]out Thus: exergonic If [A]out is > [A] in, GA is negative If [A]out is < [A] in, GA is positive endergonic If [A]out = [A]in, GA is zero
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Thermodynamics (ENERGY) of Transport
Diffusion A(out) A(in) Rule: Free energy is released when a solute moves from an area of high concentration to low concentration Spontaneous (in) (out) GA (in) < (out) Low High Final state – Initial state =G = negative
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Balanced Free energy change is zero when the
(in) (out) Balanced Free energy change is zero when the concentration of A on both sides is the same Rule: GA (in) = (out) Final state – Initial state =G = 0
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Final state – Initial state =G= positive
(out) (in) GA (in) > (out) Final state – Initial state =G= positive Rule: When chemical potential of A(in) is greater than A(out), energy must be provided to drive A across the membrane, i.e., make free energy change negative Energy = ATP or a proton gradient
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Rule: The movement of ions presents a separate challenge
because not only must the mass difference (chemical potential) be taken into account, but also the charge differential (electrochemical potential) electrochemical potential refers to the state of (+) (-) charges on both sides of the membrane The electrochemical potential is referred to as the membrane potential when dealing with cells
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GA = RTln [A]in [A]out GA = ZAF Total Energy Text p398 GA RTln
Chemical potential GA = GA(in) - GA(out) = RTln [A]in [A]out and Electrochemical potential GA = GA(in) - GA(out) = ZAF Membrane potential Total Energy Text p398 GA = RTln [A]in [A]out + ZAF
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GNa+ RTln [A]in [A]out ZAF = 8.314 x (310 K) x ln
150 mM 10 mM 15:1 (- 60 mV) _ GNa+ = RTln [A]in [A]out + ZAF = x (310 K) x ln [0.010] [0.150] + (1) 96,500 x volts = – 12.8 kJ/mole
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GNa+ RTln [A]out [A]in ZAF = 8.314 x (310 K) x ln
150 mM In Out _ + Na + Na + Na + Na + 10 mM (+ 60 mV) GNa+ = RTln [A]out [A]in + ZAF = x (310 K) x ln [0.150] [0.010] + (1) 96,500 x volts = kJ/mole
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GCl- RTln [A]in [A]out ZAF = 8.314 x (310 K) x ln
– In Out Cl – _ + Cl – Cl – Cl – Cl – Cl – Cl – Cl – Cl – Cl – Cl – 10 mM 150 mM (+ 60 mV) GCl- = RTln [A]in [A]out + ZAF = x (310 K) x ln [0.010] [0.150] + (1) 96,500 x volts = – 6.85 kJ/mole kJ/mol = – 1.06 kJ/mol
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GCl- RTln [A]out [A]in ZAF = 8.314 x (310 K) x ln
– In Out Cl – _ + Cl – Cl – Cl – Cl – Cl – Cl – Cl – Cl – Cl – Cl – 10 mM 150 mM (– 60 mV) GCl- = RTln [A]out [A]in + ZAF = x (310 K) x ln [0.150] [0.010] + (1) 96,500 x – 0.06 volts = kJ/mole + (– 5.79 kJ/mol) = 1.19 kJ/mol
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Facilitated Diffusion (Mediated Transport)
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Modes of Transport
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ATP-Driven (Active) Transport [Ca2+-ATPase]
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The trans-Golgi network
Vesicle Trafficking The secretory pathway The trans-Golgi network The signal hypothesis Protein targeting
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Rule: Proteins destined for secretion from a cell or for relocation to a membrane or a specific organelle are synthesized on the rough endoplasmic reticulum (RER) Definition: The RER consists of ribosomes bound to membranes enclosing an internal hollow space or cisternae Selection: Proteins possess a signal sequence that is recognized by a receptor on the membrane Action: Proteins pass into the space and transit to the Golgi while entrapped in vesicles
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Golgi RER Secretory granule Trans Pre-lysosome Cis Golgi
Protein inserted in plasma membrane Trans Secretory granule Golgi Pre-lysosome Cis Golgi RER
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Signal Hypothesis Proteins destined for secretion or transit to membranes and organelles, have a signal peptide that allows them to enter the RER cisternae The signal peptide is recognized by a receptor called the “signal recognition particle” (SRP) on the RER membrane Signal sequences on the N-terminal represent a string of leucine-rich hydrophobic amino acids that allow the peptide to dock with the receptor The signal peptide is removed after the peptide has penetrated the membrane
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Signal Hypothesis SRP Lumen of cisternae Carbohydrate
Docking SRP GDP +NH3 GTP +NH3 GTP Signal Peptide cleaved SRP receptor Lumen of cisternae Carbohydrate Rough Endoplasmic Reticulum
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