Chromatography capture (Protein A) simulation

feed -> eluate (product pool) + flowthrough

Governing equations

The exact equations the solver works for a chromatography capture (protein a) — the same math shown in the app's "Theory" panel, not a black box.

$c_0$

feed titre [kg/m^3]

$q_{max}$

equilibrium resin capacity [kg/m^3]

$k$

Bohart-Adams rate constant [m^3/(kg.s)]

$z$

bed height [m]

$u$

superficial velocity [m/s]

$t_b$

time to the breakthrough fraction [s]

$\mathrm{DBC}$

dynamic binding capacity [kg/m^3] — the capacity actually usable

$V_{col}$

column volume [m^3]

$m$

product mass in the harvest [kg]

$f_{safety}$

load safety factor

$n_{cycles}$

cycles per batch

Parameters

product [component id], product_molar_mass [kg/mol], q_max [kg/m^3 of resin], rate_constant [m^3/(kg·s)] — the last two measured for your molecule on your resin. Optional: bed_height [m], superficial_velocity [m/s], breakthrough_fraction, max_cycles_per_batch, load_safety_factor, step_yield, batch_time [s], equilibration/wash/elution/strip_volumes [CV], bound_fractions [{component: 0-1} for anything else the resin binds], resin_price, resin_lifetime_cycles.

Example flowsheets that use it