| Step | CV | Volume (mL) | Time (min) | Cumulative (min) |
|---|
HPLC column volume (CV) is calculated using the cylinder formula: CV = π × r² × h, where r is the internal radius of the column (half the internal diameter) and h is the bed height. Because 1 cm³ equals 1 mL, expressing diameter and height in centimetres gives CV directly in millilitres. For example, a 4.6 × 250 mm analytical HPLC column has CV = π × (0.23)² × 25 = 4.15 mL.
Linear flow rate (superficial velocity) is the column-diameter-independent measure of flow, expressed in cm/h. It allows direct scale-up between columns of different diameters. Linear flow = volumetric flow (mL/min) × 60 / cross-sectional area (cm²). For example, 1 mL/min through a 4.6 mm column (area 0.166 cm²) equals 361 cm/h.
Residence time (contact time) is the time a sample spends in the column: residence time (min) = CV (mL) / volumetric flow (mL/min). For Protein A capture of mAbs, residence times of 4-6 minutes are typical; ion exchange usually runs at 2-4 minutes. Too short reduces binding and causes breakthrough; too long unnecessarily slows the process.
Maximum protein load = CV (mL) × DBC (mg/mL) × load factor. Typical dynamic binding capacities: MabSelect SuRe Protein A 35-55 mg/mL, Capto S (cation exchange) 80-120 mg/mL, Capto Q (anion exchange) 100-140 mg/mL, Capto L (Fab) 40-60 mg/mL. A load factor of 0.7-0.8 (70-80% of DBC) is typical to avoid breakthrough.
Typical buffer volumes for a chromatography cycle, expressed in column volumes (CV): equilibration 5 CV, wash 5-10 CV, elution 5-20 CV (depending on step vs gradient mode), CIP/regeneration 3-5 CV (0.1-0.5 M NaOH typical), re-equilibration 3-5 CV, storage 3 CV (20% ethanol typical). Total buffer per cycle is typically 25-45 CV.
Column equilibration time is the time required to flush the column with equilibration buffer before sample application, typically 5 CV at the operating flow rate. Equilibration time (min) = 5 × CV (mL) / volumetric flow (mL/min). For a 4.15 mL analytical HPLC column at 1 mL/min, equilibration takes roughly 21 minutes.
Scale up HPLC methods by keeping linear flow rate (cm/h) and bed height constant while increasing column diameter. Volumetric flow scales with cross-sectional area: new flow = old flow × (new ID / old ID)². Sample load scales the same way. For example, 4.6 mm → 21.2 mm ID means 21.3× flow rate and 21.3× sample load at the same bed height and linear velocity.