A Computational Resolution of the Inverse Problem of Kinetic Capillary Electrophoresis (KCE)

TL;DR

This paper introduces a computational inverse problem method for accurately determining kinetic rate constants in Kinetic Capillary Electrophoresis, leveraging an efficient direct solver to improve precision beyond previous approaches.

Contribution

It presents a novel computational inverse problem framework that accurately determines kinetic constants from exact signals, expanding solution methods in KCE analysis.

Findings

Capable of determining constants with arbitrary accuracy

Uses an efficient direct solver for the inverse problem

Represents a new category of solution approaches in KCE

Abstract

Determining kinetic rate constants is a highly relevant problem in biochemistry, so various methods have been designed to extract them from experimental data. Such methods have two main components: the experimental apparatus and the subsequent analysis, the latter often dependent on mathematical theory. Thus the theoretical approach taken influences the effectiveness of constant determination. A computational inverse problem approach is hereby presented, which does not merely give a single rough approximation of the sought constants, but is inherently capable of determining them from exact signals to arbitrary accuracy. This approach is thus not merely novel, but opens a whole new category of solution approaches in the field, enabled primarily by an efficient direct solver.