Protein Purification & Desalting
Equilibrium Dialysis & Diafiltration
MWCO Retention Quality Control

Dialysis Buffer Exchange Calculator (Depletion & Diafiltration)

Calculate small-molecule contaminant depletion (imidazole, urea, salts) across successive dialysis buffer exchanges or centrifugal ultrafiltration spin columns, with automatic MWCO membrane pore-size retention checks.

Dialysis Chamber Parameters

Calculate solute equilibrium depletion across multiple buffer exchanges.
Standard Exchange Protocol:

Change 1: 3–4 hours at 4°C with magnetic stirring. Change 2: 3–4 hours. Change 3: Overnight (12–16 hours).

Dialysis Depletion Results

Single-Step Dilution:1 : 201.0 fold
Initial Contaminant:500 mM
Removal Efficiency:<100%
Remaining Solute After 3 Changes
6.157e-5 mM
Target threshold (1.0 mM) requires ≥ 2 buffer changes.
Buffer ChangeResidual Conc% Depleted
Change #12.488 mM99.50%
Change #20.012 mM100.00%
Change #36.16e-5 mM100.00%

Dialysis Buffer Exchange Calculator Formulas & Equilibrium Physics

Removing salts (e.g. NaCl, ammonium sulfate), denaturants (urea, guanidine-HCl), and elution ligands (imidazole, glutathione) after affinity chromatography is essential to preserve biological activity and prepare samples for downstream assays, crystallization, or cryo-EM.

Equilibrium Dialysis

Solutes diffuse across a semipermeable regenerated cellulose membrane driven by concentration gradients. At equilibrium, remaining concentration is Cn = C0 · [Vs / (Vs + Vb)]^n. Multiple changes with fresh buffer drive clearance exponentially.

Centrifugal Diafiltration

Hydraulic pressure forces solvent and micro-solutes through an ultrafiltration polyethersulfone (PES) membrane, concentrating macromolecules in the retentate. Successive dilution and re-concentration clears contaminants rapidly in hours rather than days.

Dialysis Membrane MWCO Selection & Protein Retention Guidelines

The Molecular Weight Cut-Off (MWCO) designates the pore size where ≥ 90% of a spherical globular solute is retained.

MWCO Selection Heuristic

An MWCO at or below roughly one-third of the target protein molecular weight can be used as an initial screening heuristic (for example, consider 10 kDa for a 35–45 kDa protein). This does not predict a specific recovery or guarantee zero leakage; validate it for the membrane and sample.

Non-Globular Conformations

Denatured, unfolded, or extended fibrous proteins possess larger hydrodynamic radii than globular proteins and are retained more readily by larger pores.

Glycerol Pre-wetting

Dialysis membranes are stored in trace sodium azide or glycerol. Rinse tubing in deionized water for 15–30 minutes prior to loading protein to prevent contamination.

Dialysis Buffer Exchange Calculator Worked Lab Example: Imidazole Removal

Scenario: Desalting 5 mL His-Tag Eluate (500 mM Imidazole)

Dialyzing 5 mL sample (10 kDa MWCO) against 1.0 L fresh buffer at 4°C with 3 sequential buffer exchanges.

Exchange StepBuffer VolDilution FactorResidual ImidazoleCumulative Clearance
Initial Stock—1.0500 mM0.00%
Change #1 (4 h)1.0 L1 / 201 (0.004975)2.49 mM99.50%
Change #2 (4 h)1.0 L1 / 201 (0.004975)12.4 µM99.9975%
Change #3 (Overnight)1.0 L1 / 201 (0.004975)0.062 µM (62 nM)> 99.9999%
Multi-change (3 × 1L) vs. Single Big Soak (1 × 3L) with Equal Buffer
Split vs. Single Buffer Exchange
Inefficient: Single 3.0 L Soak

832 µM (0.83 mM)

High residual imidazole risks protein precipitation

Example: 3 exchanges of 1.0 L each

0.062 µM (62 nM)

13,400-fold higher purity using the exact same volume of buffer!

Frequently Asked Questions (FAQ)

Why is multiple smaller buffer changes more effective than a single large volume?

Dialysis is an exponential depletion process: Cn = C0 * [Vs / (Vs + Vb)]^n. Three sequential 1 L buffer changes deplete a 5 mL sample by ~8,000,000-fold, whereas a single 3 L change only dilutes it by 600-fold.

How should I choose the membrane MWCO relative to my protein size?

Follow the 3-fold rule: Choose an MWCO that is at least 3-fold smaller than your target protein's molecular weight (e.g. use a 10 kDa MWCO for a 30–50 kDa protein) to prevent protein leakage through pores.

How does temperature affect dialysis rate?

Diffusion coefficient is proportional to absolute temperature and inversely proportional to viscosity (Stokes-Einstein equation). Dialysis at 4°C is ~25% slower than at room temperature, requiring gentle magnetic stirring.

What causes severe protein precipitation during dialysis?

Sudden removal of stabilizing salts or co-solvents (e.g. abruptly dropping NaCl from 500 mM to 0, or dropping urea from 6 M to 0) causes aggregation. Perform step-wise dialysis with intermediate salt/denaturant concentrations, or add 5–10% glycerol.