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Mathematical modelling of linear and nonlinear phenomena in capillary electrophoresis
Dvořák, Martin ; Dubský, Pavel (advisor) ; Kašička, Václav (referee) ; Gebauer, Petr (referee)
Capillary electrophoresis is one of the prominent analytical separation methods. Currently, many computer programs exist which are able to predict the result of an electrophoretic experiment. Firstly, there are programs based on numerical solving of corresponding continuity equations and equations of chemical equilibria. Secondly, there are programs based on approximative models of capillary electrophoresis. Programs belonging to the first group are applicable to a wide range of modes of capillary electrophoresis and provide a precise solution. Their disadvantage is though a considerable time demand. On the other hand, the approximative models give the results almost immediately and, in addition, provide some theoretical relationships which are useful for optimization of the separation process. This dissertation thesis is focused on improvement and extension of validity of existing approximative models of capillary electrophoresis. As a part of this thesis, a model capable of a full-blown description of capillary electrokinetic chromatography is introduced. This model is implemented into program PeakMaster 6. The attention is also paid to a nonlinear model of electromigration without diffusion. This model enables a very good description of electromigration dispersion including effects related to...
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System zones in capillary electrophoresis
Riesová, Martina ; Gaš, Bohuslav (advisor) ; Kašička, Václav (referee) ; Gebauer, Petr (referee)
Martina Riesová Abstract of Ph.D. Thesis Capillary electrophoresis is a method of choice in many analytical laboratories for its high separation efficiency, rapidity, low consumption of chemicals and therefore low costs. Inherent to each electrophoretic separation system are system peaks, which can significantly affect or confuse the electrophoretic results. In capillary zone electrophoresis, position of system zones can be predicted easily and reliably by means of prediction software based on a theoretical description of electromigration. However, the prediction of only position of a system zone may not be sufficient for identification of system peaks in obtained electropherograms. Therefore, an existing theoretical model was significantly extended and new version of PeakMaster software (PeakMaster 5.3) was introduced in the framework of this thesis. PeakMaster 5.3 enables to predict not only the positions of system zones, but also their shapes and polarity. Thus, PeakMaster 5.3 improves the prediction possibility of overlapping or interaction of system peaks with analyte peaks. Moreover, composition of the sample can be optimized in order to obtain convenient shapes and amplitudes of system peaks. The applicability of capillary zone electrophoresis can be extended by addition of a complexation agent into...
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