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

Hotter particles move faster, so they hit and cross the membrane more often. Updates live.
More particles outside = a steeper gradient = faster net movement in. Starts a fresh run.
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

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
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.