Flow conventional separators

Traditionally, the cellular biomass is separated by centrifugation. Ammonium sulfate is then added to the supernatant to precipitate the protein product from the media. This is followed by further centrifugation and dialysis to remove the residual ammonium sulfate from the protein product. Cross-flow filtration (CFF) can replace all of these steps with a significant improvement in recovery and yield. Indeed, CFF appears to offer many advantages over conventional separation processes like centrifugation, vacuum filtration and precipitation/dialysis for this application. 

Presently, the high-speed GPC procedures are rapidly gaining importance also in the field of separation of biologic materials. Typically, one needs 10-20 min for a complete HP GPC analysis, compared with 2-5 h necessary for conventional separations and even several times longer classical separations. Semiquantitative HP GPC separations lasting only about 1 -2 min were also reported using columns with very small volume and high flow rates. 

Higher pressures are required for pressure-assisted separations in packed columns used for capillary electrochromatography [235,376,464-466]. These columns require a high-pressure pump to provide the supplementary mobile phase flow. Conventional rotary injection valves and autosamplers can be used for sample introduction with this arrangement if a special inlet tee housing the electrode and split line with a restrictor is installed [422]. Microcolumn pumps are also useful for conditioning columns before initial use in capillary electrochromatography (section 8.4.2). There are no com-... 

Pig. 9.9 Principle process flow of separating ammonia from the vent g ises (a) conventional process (b) improved process... 

It turns out that there is another branch of mathematics, closely related to tire calculus of variations, although historically the two fields grew up somewhat separately, known as optimal control theory (OCT). Although the boundary between these two fields is somewhat blurred, in practice one may view optimal control theory as the application of the calculus of variations to problems with differential equation constraints. OCT is used in chemical, electrical, and aeronautical engineering where the differential equation constraints may be chemical kinetic equations, electrical circuit equations, the Navier-Stokes equations for air flow, or Newton s equations. In our case, the differential equation constraint is the TDSE in the presence of the control, which is the electric field interacting with the dipole (pemianent or transition dipole moment) of the molecule [53, 54, 55 and 56]. From the point of view of control theory, this application presents many new features relative to conventional applications perhaps most interesting mathematically is the admission of a complex state variable and a complex control conceptually, the application of control teclmiques to steer the microscopic equations of motion is both a novel and potentially very important new direction. 

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