Kc q q kc – Bio-Rad Foresight™ Chromatography Columns, Prepacked User Manual

Page 13

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Note:

1. The slope of the operating line is equal to the phase

ratio (

β).

2. The feed concentration and the phase ratio determine

whether, after enough incubation time (i.e., 4–6 hours),
media saturation will be attained (plateau of the
isotherm).

3. A small volume of media relative to a fixed sample

volume is recommended for capacity studies.

4. A larger volume of media relative to a fixed sample

volume is recommended for wash and elution studies.

In sum, it is important to bear in mind that the capacity

utilization for a given chromatographic medium is a

function of the shape of the underlying solute isotherm

and the magnitude of the phase ratio.

Several models are available to model an isotherm.

10–11

A model that is frequently used to represent adsorption

isotherm data is the single component Langmuir isotherm

Eq. 7.

1

m

Kc

q q

Kc

=

+

Where q

m

represents the maximum binding capacity, K

represents the association constant; q and c represent the

adsorbed and liquid phase concentrations at equilibrium.

The two model parameters (q

m

, K) can be estimated by

parameter regression, for example in Excel using the

solver add-in tool.

2.5 Uptake Curve

The uptake curve is constructed by taking time

points along the operating line.
These points are created by loading the sample in

different wells at predetermined time intervals.
The sample to be incubated the longest is added

first.

Eq. 7

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