Diffusion across a cell membrane

Particles start outside the cell and move randomly. Watch the net movement into the cell, down the concentration gradient, until the inside and outside reach the same concentration — equilibrium.

Three factors change the rate of diffusion: temperature, the concentration gradient, and the surface area : volume ratio. Change one slider at a time and compare the time to equilibrium.
particle outside the cell (high concentration) particle inside the cell cell membrane (freely permeable) nucleus

Controls

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Hotter particles move faster, so they hit and cross the membrane more often. Updates live.
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More particles outside = a steeper gradient = faster net movement in. Starts a fresh run.
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Drag to resize the cell and watch the SA:V ratio change. A bigger cell has more membrane — but far more inside to fill. Release to start a fresh run.

Surface area : Volume

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surface area —  ·  volume —
Higher ratio → faster exchange. (2D model: surface area = membrane length, volume = area inside the cell.)
inside
outside
concentration inside vs outside

Measurements

Total crossings
0
Net particles moved in
0
Total crossings / s
0
Net movement in / s
0
Equilibrium reached
0 %
Time to 90% equilibrium
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Watch this: at equilibrium net movement / s falls to ≈ 0, but total crossings / s stays high — particles never stop moving. That is dynamic equilibrium.

Fair test: change one slider, press Restart run, and note the time to 90% equilibrium. Then change it back and try another value.