Natal A. W. van Riel

Uncovering disease progression trajectories across multiple timescales with hybrid ODE-mixture models

This paper introduces LCPTA, a hybrid ODE-mixture model for multiscale disease progression analysis, showing it outperforms neural approaches in capturing multivariate trajectories in metabolic disease studies.

Conditional Universal Differential Equations Simultaneously Capture Population Level Dynamics and Inter-individual Variation in Human C-peptide Production

This paper introduces a conditional universal differential equation (cUDE) to model inter-individual variation in human c-peptide production across different glucose tolerance states.

Physiology-informed regularization enables training of universal differential equation systems for biological applications

This paper introduces physiology-informed regularization for universal differential equation models to improve accuracy and reduce data requirements in biological applications.

Using kinetic modelling to infer adaptations in Saccharomyces cerevisiae carbohydrate storage metabolism to feast famine regimes

The paper uses kinetic metabolic modeling to study how Saccharomyces cerevisiae adapts its carbohydrate storage metabolism to feast/famine conditions, identifying enzyme adjustments and unexplained kinetic phenomena.

Glycolysis revisited: from steady state growth to glucose pulses

The paper develops a physiologically informed kinetic model of yeast glycolysis connected to central metabolism, showing it captures experimental dynamics and explains pathway contributions under glucose perturbations.