My research focuses on combustion chemistry models. Chemical processes in many fields of science and technology, including combustion, atmospheric chemistry, environmental modelling and molecular biology, can be described by detailed reaction mechanisms consisting of numerous reaction steps. One of the aims of combustion studies is the production of predictive models. These models can simulate combustion phenomena at conditions of practical importance, e.g. in gas turbines and internal combustion engines. The models include the description of the physics of the device and the chemical changes. The latter is simulated with a detailed or reduced reaction mechanism. All simulation results have some uncertainty and usually most of the uncertainty is due to the uncertainty of the chemical kinetic parameters. These parameters are intrinsically correlated therefore development of a chemical kinetics model requires advanced mathematical techniques and methodologies.