Membranes buy a cell the right to run incompatible chemistry at the same time — and geometry decides how big it is allowed to get while doing so.
AP · U2.1CED 2.1–2.2Interactive lesson
Concept 01 · CED 2.1
Not a bag of soup
A eukaryotic cell is not one reaction vessel. It is dozens of them, each held at its own pH, its own ion concentration, its own enzyme set — separated by membranes.
Why compartments
Incompatible chemistry
Digestive enzymes at pH 5 and cytosolic enzymes at pH 7 cannot share a space. Membranes let both run at once.
The production line
Endomembrane system
Nuclear envelope, rough ER, Golgi, vesicles, lysosomes and plasma membrane — one connected system, not a list.
Shared inheritance
What every cell has
Plasma membrane, cytoplasm, DNA and ribosomes. Everything else is a eukaryotic addition.
The headline difference is the nucleus, but the useful one is scale. A eukaryotic cell is typically ten times wider — and therefore about a thousand times greater in volume — which is precisely why it cannot rely on diffusion across its outer surface alone.Four families of difference, and the mnemonic runs down the left: DNA, Organelles, Reproduction, Average size. Two rows are worth reading carefully. Prokaryotic DNA is often called “naked”, but the real contrast is that it is not wound around histones — bacteria do have proteins associated with the nucleoid. And a prokaryote is not “haploid”: haploid and diploid describe sets of paired chromosomes, which a single circular chromosome does not have. The tagged rows depend on material from later units, so treat them as signposts rather than as things to master now.Diagram · interactive
Take the cell apart
Tap each organelle. Watch how many of them are really the same delivery system seen at different stages.
Diagram
Start with the membrane
Tap the plasma membrane, nucleus, rough or smooth ER, Golgi, mitochondrion, lysosome or the free ribosomes.
Signature interactive · CED 2.2
The cube bench
Four cubes, one variable. Watch the ratio collapse — and watch the shaded shell become a smaller and smaller share of the whole.
Concept 02 · CED 2.2
Why cells stay small
Supply crosses a surface. Demand fills a volume. Those two things scale differently, and that mismatch sets a hard ceiling on cell size.
The mismatch
Squares against cubes
Double the diameter and area rises fourfold while volume rises eightfold. The ratio halves every time.
The consequence
Diffusion runs out
Diffusion is quick across micrometres and useless across centimetres. Beyond a certain size the centre simply cannot be served.
The workaround
Fold, flatten, divide
Microvilli and cristae fold. Red blood cells flatten. Everything else just stays small and multiplies.
The relationship is not a gentle decline. Between 1 cm and 2 cm the ratio drops by three whole units; between 5 cm and 6 cm it drops by 0.2. Almost all of the penalty for being large is paid early, which is why cells cluster at the small end of this curve.Live model · particles
Watch the middle starve
Molecules enter from every face and wander at random. Same rules, same clock, two different sizes — and the shading records everywhere they have been.
Live model · interactive
Grow the cell yourself
Drag the slider and watch three things at once: the cube scaling with the side length, the shaded shell staying the same thickness because diffusion reaches the same distance regardless of size, and the marker sliding down the curve.
Concept map · interactive
How it all hangs together
Tap a node to light up its connections. The pink dashed link joins the two halves of this lesson.
Concept map
Tap a node
Compartments and cell size look like separate topics. They are the same problem: how much membrane can you get, and where.
Retrieval · drag and drop
Fill the gaps
Drag a term into a gap, or tap a term and then tap a gap. Two terms belong nowhere.
Eukaryotic cells divide their interior into ,
so that incompatible reactions can run at once. The system
modifies and ships proteins from the rough ER through the Golgi to their destination. A lysosome holds
enzymes at a pH far below that of the cytosol, and the nucleus is
enclosed by a pierced by pores. Exchange with the environment
happens across the , while demand for oxygen and nutrients depends
on the . Because volume rises faster as a cell grows,
can no longer supply the centre — so exchange surfaces are
usually to buy back area.
Check yourself · AP-style
Six questions
Single best answer. You get the reasoning as soon as you commit.