2.4.8Cell Membrane & Transport

Explain facilitated diffusion and channel - carrier proteins

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WHAT is facilitated diffusion?

The word "facilitated" = made easier. The word "diffusion" = spontaneous spreading from high to low concentration. So: diffusion that a protein makes easier.


Two kinds of helper proteins

Figure — Explain facilitated diffusion and channel - carrier proteins

1. Channel proteins — the "open tunnel"

  • WHAT moves: mostly ions (K+K^+, Na+Na^+, Ca2+Ca^{2+}) and water.
  • HOW it's selective: the pore's width + charged amino acids act like a filter — only the right size/charge fits.
  • Special types:
    • Gated channels — open/close in response to a signal (voltage, ligand, stretch).
    • Aquaporins — water-specific channels.

2. Carrier proteins — the "revolving door"

  • WHAT moves: larger polar molecules like glucose (e.g. GLUT transporters) and amino acids.
  • HOW it's selective: a specific binding site (lock-and-key) — only the right molecule fits.
  • Because there are a fixed number of carriers, the rate saturates (see below).

WHY no ATP? — Deriving the direction of flow

A substance moves spontaneously if doing so lowers free energy (ΔG<0\Delta G < 0). For a non-charged solute crossing from side "in" to side "out":

ΔG=RTln ⁣(CoutCin)\Delta G = RT \ln\!\left(\frac{C_{out}}{C_{in}}\right)

For ions, charge matters too, giving the electrochemical version:

ΔG=RTln ⁣(CoutCin)+zFΔV\Delta G = RT\ln\!\left(\frac{C_{out}}{C_{in}}\right) + zF\,\Delta V

where zz = ion charge, FF = Faraday's constant, ΔV\Delta V = membrane voltage. Ions follow the combined concentration + electrical gradient.


WHY carriers saturate — Deriving the kinetics

Treat binding like enzyme kinetics. Let solute SS bind carrier TT:

T+STST+S(otherside)T + S \rightleftharpoons TS \rightarrow T + S_{(other\,side)}

This gives a Michaelis–Menten-shaped curve:

V=Vmax[S]Km+[S]V = \frac{V_{max}\,[S]}{K_m + [S]}

This contrast — carriers saturate, channels don't — is a classic exam discriminator.


Worked examples


Common mistakes (Steel-man + fix)


Flashcards

What energy source drives facilitated diffusion?
The pre-existing electrochemical gradient — no ATP.
Define facilitated diffusion.
Passive transport of a substance down its electrochemical gradient via a channel or carrier protein, without ATP.
Why can't glucose cross the membrane by simple diffusion?
It is large and polar, so the hydrophobic lipid core repels it.
How does a channel protein move solutes?
It forms a continuous hydrophilic pore; solutes flow through without tight binding or shape change.
How does a carrier protein move solutes?
It binds the solute, undergoes a conformational change, and releases it on the other side.
Which is faster, channels or carriers, and why?
Channels — they have an open pore with no slow shape-change cycle.
Why do carrier-mediated rates saturate but channel rates don't?
Carriers have a finite number of binding sites (VmaxV_{max}); channels are open pores with no binding step.
Write the carrier saturation equation.
V=Vmax[S]Km+[S]V = \dfrac{V_{max}[S]}{K_m+[S]}.
What does KmK_m represent?
The solute concentration giving half of VmaxV_{max}; a measure of binding affinity.
Equation for ΔG\Delta G of an ion crossing a membrane?
ΔG=RTln(Cout/Cin)+zFΔV\Delta G = RT\ln(C_{out}/C_{in}) + zF\Delta V.
What is an aquaporin?
A water-selective channel protein.
Why does facilitated diffusion stop at equilibrium?
Cin=CoutC_{in}=C_{out} (and electrical balance for ions) makes ΔG=0\Delta G=0, so net flux is zero.
Difference between facilitated diffusion and active transport?
Facilitated = passive, downhill, no ATP; active = uphill, requires energy (ATP or coupled gradient).

Recall Feynman: explain to a 12-year-old

Imagine a crowded room (high concentration) and an empty room (low concentration) with a wall between them. People naturally want to spread out into the empty room — but the wall has no door. Facilitated diffusion is putting a door in the wall. People walk through on their own; nobody has to push them, because they already wanted to spread out. A channel is an open doorway (fast). A carrier is a revolving door — you step in, it spins you to the other side (slower). Once both rooms have the same number of people, just as many walk each way, so nothing seems to change.


Connections

  • Simple Diffusion — same downhill principle, but no protein needed (small non-polar molecules).
  • Active Transport — opposite case: uphill movement needing ATP (e.g. Na⁺/K⁺ pump).
  • Osmosis — water diffusion, often via Aquaporins (a facilitated channel).
  • Electrochemical Gradient — the combined driving force for ions.
  • Enzyme Kinetics — carrier saturation borrows Michaelis–Menten logic.
  • Membrane Potential — channels like K⁺ leak channels set the resting voltage.
  • Phospholipid Bilayer — the hydrophobic barrier that makes proteins necessary.

Concept Map

driven by

supplies energy so

repels

need help from

uses

type 1

type 2

forms

fast for ions and water

undergoes

limited carriers cause

Facilitated diffusion

Down electrochemical gradient

No ATP needed

Hydrophobic membrane core

Polar molecules and ions blocked

Membrane transport protein

Channel protein

Carrier protein

Open hydrophilic pore

Conformational shape change

Rate saturates

Hinglish (regional understanding)

Intuition Hinglish mein samjho

Dekho, cell membrane ek oily (greasy) deewar hai. O2O_2 aur CO2CO_2 jaise chhote non-polar molecules to seedha cross kar lete hain — usse simple diffusion bolte hain. Lekin glucose (bada, polar) aur ions (Na+Na^+, K+K^+) ko ye oily layer roak deti hai, chaahe gradient unhe push kar raha ho. Yahan aata hai facilitated diffusion: protein ek "door" bana deta hai taaki ye molecules apne gradient ke saath (high se low) bina ATP kharch kiye nikal sakein. Yaad rakho — protein sirf raasta deta hai, push nahi karta, kyunki movement to pehle se hi downhill (spontaneous) hai.

Do tarah ke helper proteins hote hain. Channel protein ek khuli tunnel (pore) ki tarah hai — bahut fast, mostly ions aur paani ke liye, koi shape change nahi. Carrier protein revolving door jaisa hai — molecule ko bind karta hai, phir apni shape badalta hai, aur doosri taraf chhod deta hai. Isliye carrier slow hota hai. Ek important point: carriers ki binding sites limited hoti hain, isliye unka rate ek limit (VmaxV_{max}) par saturate ho jaata hai; channels itni aasani se saturate nahi hote.

Direction kaun decide karta hai? Gradient — formula ΔG=RTln(Cout/Cin)\Delta G = RT\ln(C_{out}/C_{in}) (ions ke liye +zFΔV+zF\Delta V bhi). Agar ΔG\Delta G negative hai to flow apne aap hota hai. Yahi reason hai ki ATP ki zaroorat nahi. Jab dono taraf concentration barabar ho jaata hai, net flow rukta hai (equilibrium), par molecules dono directions mein chalte rehte hain.

Exam tip: "protein use hota hai isliye ATP lagta hai" — ye galat hai! ATP sirf active transport mein lagta hai jahan uphill (low se high) jaana hota hai. Facilitated diffusion hamesha downhill, free ride. Mnemonic yaad rakho: Channels Cruise, Carriers Carry.

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Connections