Academy/Kinetics 101

The Fundamentals of Binding Kinetics

What is a Sensorgram?

In Surface Plasmon Resonance (SPR) and Bio-Layer Interferometry (BLI), the primary output is a Sensorgram. This is a real-time plot of the binding response (Y-axis, usually in Resonance Units or nm shift) over time (X-axis).

The Anatomy of a Sensorgram

Time (s)Response (RU)1. Baseline2. Association3. Dissociation4. RegenInject AnalyteInject Buffer
1. Baseline

Stable signal with running buffer only.

2. Association

Analyte binds ligand. Signal rises (ka).

3. Dissociation

Analyte unbinds. Signal decays (kd).

4. Regeneration

Surface stripped for next cycle.

Dissociation begins the moment analyte injection stops and buffer flow resumes — the bound complex is no longer in equilibrium with free analyte, so it starts to fall apart. After dissociation, the surface is regenerated — briefly exposed to a regeneration solution that strips any remaining analyte from the ligand so the same surface can be reused for the next cycle.

The Rate Constants

Kinetics describes how fast an interaction happens. We define this with two key parameters:

Together, ka and kd govern the 1:1 binding rate law:

dR/dt = ka · C · (Rmax − R) − kd · R

R is the response, C is the analyte concentration, and Rmax is the maximum binding capacity of the surface. The slopes, plateaus, and decays you see in a sensorgram all fall out of this single equation.

ka (Association Rate)

Units: M-1s-1

How quickly the complex forms, scaled by analyte concentration. A higher ka means more productive binding events per unit time at a given concentration.

Fast ka = Steep slope upwards (at fixed concentration).
Slow ka = Shallow slope upwards (at fixed concentration).

kd (Dissociation Rate)

Units: s-1

How quickly the complex falls apart. This determines the Residence Time.

Fast kd = Quick drop to baseline.
Slow kd = Flat, stable holding.

Affinity and the Equilibrium Dissociation Constant (KD)

KD =
kdka

Equilibrium Dissociation Constant

KD describes the strength of the binding at equilibrium. It is the concentration of analyte where half the ligand sites are occupied. Affinity is the inverse of KD — a lower KD means higher affinity.

  • Lower KD = Tighter binding (High Affinity).
  • Higher KD = Weaker binding (Low Affinity).

Note: Two interactions can have the same KD (Affinity) but completely different kinetics (Fast On/Off vs Slow On/Off).

Interactive Simulator

Adjust the sliders below to see how changing ka and kd affects the shape of the sensorgram.

Interactive Lab: The 1:1 Model

Kinetics

5.0e+4 M⁻¹s⁻¹
10³10⁷
5.0e-3 s⁻¹
10⁻⁵10⁻¹
50 RU

Experimental Setup

Comma separated

Resulting Affinity (KD)
100.0 nM
Association Phase (Sample Injection)
Dissociation Phase (Buffer Wash)

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