An amino-acid symporter carries one sodium ion ( ) into a cell for every solute…

PHYSICS · Subjective · Fermi University Physics · Biophysics & Medical Physics · Molecular machines, transport and bioenergetics · Molecular machines, transport and bioenergetics

Forces, Machines and Signals, Ch Channels, pumps and the resting potential

Problem

An amino-acid symporter carries one sodium ion (n=1n = 1) into a cell for every solute molecule it transports. Sodium concentrations are [Na]o=140 mM[\mathrm{Na}]_o = 140\,\mathrm{mM} outside and [Na]i=15 mM[\mathrm{Na}]_i = 15\,\mathrm{mM} inside, and the membrane potential is V=−70 mVV = -70\,\mathrm{mV} at 310 K310\,\mathrm{K} (kBT/e=26.7 mVk_BT/e = 26.7\,\mathrm{mV}). Find the maximum solute concentration ratio [S]i/[S]o[S]_i/[S]_o this transporter can sustain at equilibrium.

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