Cell Biology · Unit 2: Membranes and compartments

Transport Across Membranes

A lipid bilayer stops ions and most polar molecules, so every cell relies on proteins to move them: channels, carriers and pumps. This lesson sorts those proteins by how they work, shows how to predict which way an ion will flow from its concentrations and the membrane voltage, and teaches you to read a single-channel recording and a tracer-uptake experiment. Afterwards you can compute a Nernst potential, decide the direction of passive ion flux, and tell a channel from a carrier from the data.

Watch first Voltage Can Reverse an Ion's Flow · 3:01

Hold a cell at −70 millivolts with 140 mM potassium inside and 5 mM outside, open potassium channels, and potassium leaves. Hold it at −100 millivolts and potassium comes in, against a 28-fold concentration difference.

The concentrations did not change between those two cases. Only the voltage did. That is the first thing this lesson will teach you to calculate. The second is how to tell what kind of protein is carrying an ion or a sugar across a membrane, using the two kinds of data that answer that question: a recording from one channel, and a count of labelled molecules.

The idea: a bilayer is a wall with designed doors

A lipid bilayer has an oily core about as thick as two lipid tails. Gases such as oxygen and carbon dioxide and small nonpolar molecules dissolve in that core and cross it by simple diffusion, needing no protein. Water crosses too, though slowly. Ions and larger polar molecules such as glucose cross almost not at all, because leaving water for oil costs them too much energy. You met the chemistry behind this in membrane structure and function.

So a cell is a walled town, and every door is a protein. The doors are specific: a potassium channel passes potassium and not sodium, and a glucose carrier passes glucose and not fructose. A cell decides what crosses by choosing which doors to build, where to put them and when to open them. The sidedness of those proteins in the membrane, covered in membrane organization and topology, is what makes a door point one way.

Doors, ferries and pumps

Membrane transport proteins fall into three groups by mechanism.

Channels form an aqueous pore that, when open, connects both sides at once. Ions flow through, often in single file, down their electrochemical gradient. A channel can switch between open and closed (gating) in response to voltage, a ligand or stretch, but while open it has no cycle to complete, so it is fast: millions of ions per second through one pore. Water channels, the aquaporins, are channels for water.

Carriers (also called transporters) are ferries. A carrier binds its solute on one side, changes shape, and releases it on the other; at no moment is a pathway open to both sides. This is alternating access. Because each crossing needs a shape change, a carrier works far more slowly than a channel, and because it has a limited number of binding sites, its rate saturates as solute rises, like an enzyme with Michaelis-Menten kinetics. A uniporter moves one solute, as GLUT1 moves glucose into red blood cells. A symporter moves two solutes the same way. An antiporter moves them opposite ways, as the Na+/Ca2+ exchanger brings sodium in and sends calcium out.

Pumps couple transport to a direct energy source, usually ATP hydrolysis, and so move ions uphill. This is primary active transport. The Na+/K+-ATPase in the plasma membrane of animal cells exports three Na+ and imports two K+ for each ATP it splits. It moves one net charge out per cycle, so it contributes a little to the voltage directly. Mostly it builds the sodium and potassium gradients that other proteins spend.

Spending a gradient is secondary active transport. SGLT1 in intestinal cells is a symporter that brings glucose in with sodium. Sodium runs down its steep inward gradient, and that downhill run pays for glucose to go uphill. The pump never touches glucose, but block the pump and glucose uptake fails as the sodium gradient runs down. You will see SGLT1 again in digestion, and the same logic with protons instead of sodium in the proton-motive force.

Two cautions. A protein’s family does not tell you its mechanism: CFTR, the chloride channel mutated in cystic fibrosis, belongs to the ABC family, most of whose members are ATP-driven transporters, yet it is a channel. And ligand-gated channels that act as receptors belong to ion channels as receptors in the signaling course.

Electrochemical driving force and the Nernst equation

An ion feels two pushes: its concentration difference, and the voltage across the membrane. Membrane potential, Vm, is defined as the inside minus the outside. A negative Vm pulls cations in and pushes anions out.

For each ion there is one voltage at which the two pushes balance. That is its equilibrium potential, given by the Nernst equation:

E_X = (RT / zF) × ln([X]out / [X]in)

R is the gas constant, T the absolute temperature, F the Faraday constant, and z the ion’s charge with its sign (+1 for K+, −1 for Cl−). At E_X the ion’s net passive flux is zero. Ions still cross; equal numbers cross each way.

To predict direction, compare Vm with E_X. The free energy change for moving one mole of the ion from outside to inside is:

ΔG_in = zF × (Vm − E_X)

If ΔG_in is negative, net passive flow is inward; if positive, outward. Keep z’s sign: for an anion the rule flips.

Worked problem. Take a membrane permeable only to K+, at 37 °C (310.15 K), with [K+]in = 140 mM and [K+]out = 5 mM. These are teaching values close to those of a typical mammalian cell, and you may use concentrations in place of activities.

Step 1: find E_K. RT/F = (8.314 × 310.15) / 96 485 = 0.02673 V = 26.73 mV. The ratio 5/140 = 0.0357, and ln(0.0357) = −3.332. So

E_K = 26.73 mV × (−3.332) = −89.1 mV

Using base-10 logs gives the same answer: 61.5 mV × log10(5/140) = 61.5 × (−1.447) = −89.0 mV, the small difference being rounding.

Step 2: clamp at −70 mV. Vm − E_K = −70 − (−89.1) = +19.1 mV. ΔG_in = (+1)(96 485)(+0.0191) = +1.84 kJ/mol. Moving K+ in is uphill, so net K+ flux is outward. The inside is not negative enough to hold potassium in against its concentration gradient.

Step 3: clamp at −100 mV. Vm − E_K = −10.9 mV, so ΔG_in = −1.06 kJ/mol, and net K+ flux is inward. This is the reversal promised at the top: the voltage now outweighs the concentration gradient.

Step 4: one channel. Suppose a single K+ channel has a conductance γ of 20 pS and behaves ohmically. At Vm = −40 mV its current is

i = γ × (Vm − E_K) = 20 pS × 49.1 mV = 0.98 pA, outward

Dividing by the charge on one ion (1.602 × 10^−19 C) gives about 6.1 × 10^6 ions per second. A carrier cycling hundreds or a few thousand times per second could not carry that. Rate is one way to tell a channel from a carrier.

Step 5: a shortcut to watch. Many books quote 58 mV per tenfold change in concentration. That figure holds near room temperature. At 37 °C it is 61.5 mV.

Do not conclude that a cell rests at E_K. A real membrane is permeable to several ions, and the resting potential lies between their equilibrium potentials, nearest the one with the highest permeability. Many cells rest less negative than E_K for exactly this reason.

Watching one channel and counting tracer

In 1976 Erwin Neher and Bert Sakmann recorded current from a small patch of membrane on denervated frog muscle and saw it switch between levels in square steps of a few picoamperes. Each step is a current through one open channel: a flow of millions of ions per second, not one ion. The 1981 gigaseal methods of Hamill, Neher, Sakmann and colleagues made such records clean enough to use routinely.

From a one-channel record you read two numbers. The unitary current, i, is the height of the step, set by the channel’s conductance and the driving force. The open probability, P_o, is the fraction of time the channel is open. A drug that changes P_o without changing i alters gating; one that changes i alters conduction or driving force. Across many identical channels, the mean current is I = N × i × P_o, so a whole-cell current alone cannot separate these three.

Single-channel record: step height and open time⚙ original · interactive
Unitary current i = γ × (Vm − EK)
Ions per second through the open channel
Direction of K+ flow
Fraction of time open: measured here, set
Mean current, I = N × i × Po: expected, from this record

The step height i comes from the driving force and sets which way ions move; the open probability Po is read from how long the channel stays open. In this sketch, Po is set separately from Vm; in a real voltage-gated channel Vm can change both. Assumes the lesson’s ohmic 20 pS K+ channel; EK = −89.1 mV (140 mM in, 5 mM out, 37 °C). Dwell times are drawn at random. Time is in relative units, so this record is a sketch of the logic, not a prediction for a real channel.

Orientation matters. In an inside-out patch, pulled off the cell, the cytoplasmic face meets the bath; in an outside-out patch, the outer face does. Applying a substance to the bath of each tells you which side it acts from. Bandwidth matters too: brief closures shorter than the recording can resolve vanish from the trace.

Carriers are slower and are usually studied by tracer flux: add radioactive substrate, stop at timed points, wash and count. Three traps follow.

First, tracer entry is not net uptake. A carrier can swap a labelled molecule outside for an unlabelled one inside, so label enters while total substrate stays put. In 2023 a study of the E. coli carrier DgoT found a mutant, E133Q, that kept robust substrate exchange although Glu133 is needed for net flux.

Second, saturation identifies a carrier. Initial rates fit v = Vmax[S] / (Km + [S]), levelling off at high substrate, while flux through a simple pore rises roughly in proportion to concentration over a wide range.

Third, a carrier’s Km is not a binding constant. It depends on the conditions on the far side, on the voltage and on any coupled ion, and different protocols give different values for the same protein.

Design problem

You inject RNA for an unknown membrane protein, Q, into Xenopus oocytes, and the eggs become more permeable to chloride. Oocytes have chloride channels of their own. Is Q itself a chloride pore, or a protein that switches on an endogenous channel? And how would you tell whether Q is a channel or a carrier?

One way to do it

Start with controls: compare Q-injected eggs with eggs injected with the same volume of water, from the same frog and on the same day, so that any change is due to Q.

Then take Q out of the oocyte. Purify it, put it into lipid vesicles and fuse them with a planar bilayer. If chloride current appears with purified Q and no other protein, Q is enough to form the pathway. This is how Christine Bear, John Riordan and colleagues showed in 1992 that purified CFTR is itself a regulated chloride channel.

Next, look for single-channel events: square current steps of fixed height whose reversal potential tracks E_Cl as you change chloride on one side. Then mutate residues you suspect line the pore. If a mutation changes the unitary conductance or which anions pass, Q forms the pore. A mutation that changes only P_o is consistent with Q being a regulator, or a channel whose gating you hit, so it decides less.

To separate a channel from a carrier, weigh rate (millions of ions per second points to a pore), saturation (a carrier levels off at low concentrations), discrete unitary events, and exchange (does chloride entry need another ion leaving?). Remember ClC-ec1: a family name will not answer this for you.

How we measure it

Patch clamp

A glass pipette sealed onto a cell isolates a small patch of membrane, and an amplifier records the current through it at a voltage you set. With one channel in the patch you see its openings as square steps; excised patches let you change the solution on the cytoplasmic face (inside-out) or the outer face (outside-out).

Radiotracer flux

You add a radioactively labelled substrate, stop uptake at timed points by filtering and washing, and count the label retained by cells or vesicles. Subtracting a matched control and dividing by specific activity gives an amount; a time series gives a rate. Tracer entry alone does not show net accumulation, since a carrier can exchange labelled for unlabelled substrate.

Reconstitution into vesicles and planar bilayers

A purified membrane protein is placed in artificial lipid vesicles, which can be assayed directly or fused with a flat bilayer for electrical recording. If the activity appears with the purified protein and nothing else, that protein is enough to carry it.

Expression in Xenopus oocytes

RNA injected into large frog eggs is translated into protein that reaches their surface. Comparing injected eggs with matched control eggs, by swelling in dilute solution or by electrical recording, reveals what the new protein adds.

Finish line

Test yourself

8 questions

Practice and MCAT-style, with explained answers.

Next · Lesson 6

Organelles as Distinct Environments

In HeLa cells the mitochondrial matrix measured near pH 8 and the Golgi near pH 6.6. How does one cell keep both?

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