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Published byHarvey Washington Modified over 9 years ago
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物化生物學 生物體系之電子與能量轉移
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Applications of Electrochemistry ATP Synthase Potential for a resting nerve cell
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Membrane Equilibrium In a closed electrochemical system, the phase equilibrium condition for two phases and
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ATP Synthase
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Free-energy change during proton movement across a concentration gradient The movement of protons from the cytoplasm into the matrix of the mitochondrion.
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Proton Pumping Proton pumping maintains a pH gradient of 1.4 units, then pH = + 1.4 G = -2.303RTΔpH =- 2.303 (8.315 × 10 -3 kJ/mol)(298K)(1.4) = - 7.99 kJ/mol Proton concentration gradient
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Free-energy change during solute movement across a voltage gradient In mitochondria, electron transport drives proton pumping from the matrix into the intermembrane space. There is no compensating movement of other charged ions, so pumping creates both a concentration gradient and a voltage gradient. This voltage component makes the proton gradient an even more powerful energy source.
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Membrane Potential m = in – out =0.14 V G =-nF m =-(1)(96485)(0.14 ) = - 13.5 kJ/mol
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Proton-motive force Proton-motive force ( P) is a that combines the concentration and voltage effects of a proton gradient. G=-nF P = - 2.303 RT pH + nF m =(-7.99 kJ/mol)+( - 13.5 kJ/mol) = -21.5 kJ/mol
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ATP synthesis Mitochondrial proton gradient as a source of energy for ATP synthesis Estimated consumption of the proton gradient by ATP synthesis is about 3 moles protons per mole ATP. G = 50 kJ/mol for ATP synthesis G = 50 + 3(- 21.5) = - 3.4 kJ/mol The synthesis of ATP is spontaneous under mitochondrial conditions.
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Potential for a resting nerve cell Goldman-Hodgkin-Katz equation
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Resting Nerve Cell of a Squid P(K + )/P(Cl - )=2 P(K + )/P(Na + )=25 △ (K + )=-95 mV △ (Na + )=+57 mV △ (Cl - )=-67 mV (mmol/dm 3 ) K+K+ Na + Cl - int4104940 ext10460540 The observed potential for a resting squid nerve cell is about -70 mV at 25 o C.
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Resting Nerve Cell of a Squid The observed potential for a resting squid nerve cell is about -70 mV at 25 o C. Hence Cl - is in electrochemical equilibrium, but K + and Na + are not. Na + continuously flows spontaneously into the cell and K + flows spontaneously out. Na + -K + pump
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