Depiction of antibodies approaching pores in resin bead

Mechanistic models

Mathematical models based on natural science

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Mechanistic chromatography models

Each downstream purification step comprises different physical and biochemical effects. Chromatography for example is a complex superposition of general flow and transport patterns, mass transfer phenomena in microporous materials and adsorption. Creating a predictive model of your downstream process therefore requires a profound consideration of all occuring effects.

How do mechanistic models work?

Mechanistic models consider physical and biochemical effects by means of natural laws. Outside the adsorber beads within a chromatography system for example, the injected components are transported by convection, which is induced by a connected pump. Dispersion comprises, among other effects, molecular diffusion and non-ideal flow. Inside the pores of the adsorbing particle, diffusion dominates their movement. Finally, the component is adsorbed onto the inner surface of the particle.

Depiction of the key principles of mechanistic chromatography models.

Building a predictive chromatography model

In order to predict any kind of downstream process, the governing natural principles are described in mathematical model equations. In fact, column chromatography models comprise three individual but coupled models: a fluid dynamics model, describing general flow and transport patterns in the in the column; a model to describe the fluid phase within the beads’ pores and an adsorption isotherm that models the adsorption process via thermodynamics. A large variety of such models are known in literature, describing different chromatography and interaction modes. Given the model and corresponding model parameters, the resulting chromatogram can be predicted by means of computer simulation.

Chromatography model equations

Few experiments are needed to calibrate your mechanistic model

Within mechanistic model equations a number of model parameters are inherent. Some of these are known – in a chromatography model, this is for example column dimensions or flow rates. Unknown model parameters such as protein charge must be derived from experimental data. Since each model parameter has a unique purpose and effect on the result, the required data is limited and experiments usually range from three to ten. These do not require purified components but can be performed with impure feedstock. The measured data are then processed in silico using numerical optimization to derive the unknown parameters by inverse curve fitting.

Once calibrated, any mechanistic downstream model is a fully equivalent digital twin of your real system. A simulated experiment can thereby replace a real experiment. The most obvious application of simulation is therefore to optimize existing processes. In conjunction with Process Analytical Technologies (PAT) and real-time information on the composition of raw materials, downstream models can be expanded to become digital twins of running production processes.

Hand dropping testube in laptop, ChromX then calibrates model