---
title: "Ligand Binding: Dissociation Constants and Receptor Occupancy"
description: "Binding of a ligand to a receptor reaches an equilibrium set by the dissociation constant, and the fraction of receptors occupied follows a saturating curve. A smaller dissociation constant means tigh"
canonical: https://lightmysky.com/learn/science/ligand-binding-dissociation-constants-and-receptor-occupancy-mt_i-v79OaM0n
source: https://lightmysky.com/learn/science/ligand-binding-dissociation-constants-and-receptor-occupancy-mt_i-v79OaM0n.md
retrieved: 2026-09-12
---

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# Ligand Binding: Dissociation Constants and Receptor Occupancy

Binding of a ligand to a receptor reaches an equilibrium set by the dissociation constant, and the fraction of receptors occupied follows a saturating curve. A smaller dissociation constant means tighter binding, so half occupancy is reached at a lower concentration.

Subject: Science · Area: Organisms & Life Processes · Ages 19 to 20
Page: https://lightmysky.com/learn/science/ligand-binding-dissociation-constants-and-receptor-occupancy-mt_i-v79OaM0n

## Ready when they can

- Calculates fractional occupancy from a ligand concentration and a dissociation constant.
- Reads a binding curve to get the dissociation constant, and compares two ligands from their curves.
- Explains why raising the concentration far above the constant gains almost nothing.

## Lesson: Half full sets the number

A ligand grips its matching receptor the way a key fits one lock, and the strength of that grip is one number: the dissociation constant, Kd. Kd is the ligand concentration at which half the receptors are filled, and the filled fraction follows filled = ligand divided by Kd plus ligand. A smaller Kd means tighter binding, since half occupancy arrives at a lower concentration.

**Example.** Take a ligand with Kd 10 nanomolar. At 10 nanomolar it fills half the receptors. At 90 nanomolar it fills about 90 percent, since 90 divided by 100 is 0.9. Near 1000 nanomolar it fills about 99 percent. One number turns tight versus loose binding into values you can compute.

Plot filled fraction against concentration and the curve climbs steeply, then flattens toward full. Read Kd straight off it: the concentration on the horizontal axis where the curve passes half full. Put two ligands on shared axes and the tighter binder is the curve rising earlier, reaching half full at the lower concentration, which is the smaller Kd.

**Tip.** Raising the concentration far above Kd gains almost nothing, because the curve is nearly flat up there. Moving from 10 times Kd to 20 times Kd shifts occupancy only from about 0.91 to 0.95. Save your ligand: once nearly all receptors are filled, more buys nearly nothing.

**Recap.** Kd marks half full, the curve reads off Kd, and excess ligand past Kd buys almost nothing.

## Practice

8 questions on this page, each with its working shown.

## Needs first

- [Ion Channels: Selectivity, Gating and the Evidence from Single Channels](https://lightmysky.com/learn/science/ion-channels-selectivity-gating-and-the-evidence-from-single-channels-mt_2xPzPeXZZ_)
- [Enzyme Kinetics: Vmax and the Michaelis Constant](https://lightmysky.com/learn/science/enzyme-kinetics-vmax-and-the-michaelis-constant-mt_ooF8eZ1Gzy)

## Opens up

- [G-Protein-Coupled Receptors and Second Messengers](https://lightmysky.com/learn/science/g-protein-coupled-receptors-and-second-messengers-mt_7ozcs_sUOJ)
- [From Hit to Lead: Structure-Activity Relationships](https://lightmysky.com/learn/science/from-hit-to-lead-structure-activity-relationships-mt_p53KgFKAUg)