2.4.7Cell Membrane & Transport

Explain simple diffusion

1,816 words8 min readdifficulty · medium2 backlinks

WHAT is simple diffusion?

Key word is net. Individual molecules cross both ways at all times. We just see a net flow toward the dilute side because there are simply more molecules on the crowded side available to wander across.


WHY does it happen? (first principles, no formula dump)

So diffusion is not a "force pushing" molecules — it is probability. More molecules on one side = more chances to cross to the other.


HOW fast? — Deriving Fick's Law from scratch

We want a number for rate. Let's build it from what must logically matter.

Step 1 — What can rate depend on? Reason through each:

  1. Concentration difference ΔC=CinCout\Delta C = C_{in} - C_{out}. Why? If both sides equal, net = 0. The bigger the imbalance, the more "extra" molecules wander across. → rate ΔC\propto \Delta C.
  2. Area AA. Why? Twice the membrane area = twice as many spots to cross = twice the flow. → rate A\propto A.
  3. Thickness dd. Why? A thicker membrane is a longer random walk; molecules take longer (and more likely turn back). → rate 1/d\propto 1/d.
  4. How easily the molecule dissolves & moves in lipid — bundle this into a constant, the permeability/diffusion coefficient DD.

Step 2 — Combine by multiplying the proportionalities (each independent factor multiplies the rate):

J=DAΔCdJ = -D\,A\,\frac{\Delta C}{d}

Why the minus sign? dCdx\frac{dC}{dx} points toward higher concentration. Diffusion goes the other way (toward lower), so we flip the sign to make JJ positive in the actual flow direction.

Figure — Explain simple diffusion

Worked examples


Common mistakes (steel-manned)


Flashcards

Define simple diffusion in one line.
Net passive movement of small nonpolar molecules across the lipid bilayer from high to low concentration, driven by random thermal motion, needing no ATP or protein.
Does simple diffusion require energy (ATP)?
No — it's passive; energy comes from molecules' own thermal motion as they move down the gradient.
What drives the net direction of diffusion?
The concentration gradient (high → low), via random molecular motion and probability.
State Fick's Law and name each term.
J=DAdCdxJ = -D A \frac{dC}{dx}; JJ=flux, DD=diffusion coefficient, AA=area, dC/dxdC/dx=concentration gradient, minus sign = flow toward low concentration.
Why is there a minus sign in Fick's Law?
Because dC/dxdC/dx points toward higher concentration, but diffusion flows toward lower concentration — the sign flips it.
At equilibrium, have molecules stopped moving?
No — they keep jiggling; only the net flux is zero (equal crossings each way).
Give 3 molecules that cross by simple diffusion.
O2O_2, CO2CO_2, and small lipids/steroid hormones (also N2N_2).
How does membrane thickness affect diffusion rate?
Rate 1/d\propto 1/d; thicker membrane = slower diffusion.
What's the difference between simple and facilitated diffusion?
Simple = directly through lipid, only small nonpolar molecules; facilitated = via channel/carrier proteins, for polar/charged/large molecules. Both passive.
If ΔC\Delta C doubles (other factors fixed), what happens to flux?
It doubles, since JΔCJ \propto \Delta C.

Recall Feynman: explain to a 12-year-old

Imagine a room where one corner is packed with kids running around bumping randomly, and the rest of the room is empty. Nobody is telling them where to go — they just bump around randomly. But since the crowded corner is full, way more kids accidentally wander out of it than wander in. So slowly the kids spread out evenly across the whole room. When they're spread evenly, they keep running and bumping, but now the room looks the same forever. That's diffusion — spreading out for free, just by random bumping, from "lots of stuff here" to "not much stuff there."


Connections

  • Cell Membrane & Transport
  • Facilitated Diffusion — same direction, but needs proteins for polar/large molecules
  • Osmosis — special case: net diffusion of water across a semipermeable membrane
  • Active Transport — opposite case: up the gradient, costs ATP
  • Concentration Gradient — the driving "downhill" slope
  • Fluid Mosaic Model — why the lipid bilayer is permeable to nonpolar molecules
  • Gas Exchange in Alveoli — Fick's Law applied in physiology

Concept Map

drives

sets direction

is

needs no

crosses

permeable to

net flow until

rate given by

larger raises rate

proportional

inversely proportional

scales

Random thermal motion

Simple diffusion

Concentration gradient high to low

Passive no ATP

No transport protein

Lipid bilayer directly

Small nonpolar molecules O2 CO2

Equilibrium net equals zero

Fick's Law

Membrane area A

Membrane thickness d

Diffusion coefficient D

Hinglish (regional understanding)

Intuition Hinglish mein samjho

Dekho, simple diffusion ka funda bahut seedha hai. Har molecule hamesha randomly hil-dul raha hai (thermal motion ki wajah se). Agar membrane ke ek side par molecules zyada hain aur dusri side kam, to randomly hilte-hilte zyada molecules crowded side se khaali side ki taraf chale jaate hain. Isko bolte hain "high concentration se low concentration", aur ismein na koi ATP (energy) lagti hai, na koi protein chahiye — molecule seedha lipid bilayer ke through ghul ke nikal jaata hai. Examples: O2O_2, CO2CO_2, chhote nonpolar molecules.

Important baat: yahan "net movement" word yaad rakhna. Molecules dono taraf cross karte rehte hain, bas crowded side par zyada hone ki wajah se net flow ek hi direction mein dikhta hai. Jab dono side barabar ho jaate hain — equilibrium — tab net flow zero, par molecules tab bhi hil rahe hain. Ye sabse common galti hai exam mein: log sochte hain equilibrium par movement ruk jaati hai. Nahi, sirf net movement ruktti hai.

Speed ka formula Fick's Law se aata hai: J=DAdCdxJ = -DA\frac{dC}{dx}. Iska matlab — gradient jitna zyada (concentration difference jitna bada), area jitna zyada, aur membrane jitni patli, diffusion utni fast. Isiliye lungs ke alveoli itne patle aur itne zyada (huge area) hote hain — taaki gas exchange jaldi ho. Minus sign sirf direction batane ke liye hai (high se low).

Yaad rakhne ka tarika: "HiLo, No-Go-Pro, No-Dough" — High to Low, No protein, No ATP. Bas itna pakka kar lo to simple diffusion ka pura concept clear hai.

Test yourself — Cell Membrane & Transport

Connections