3 papers
q-bio.QM2024
Non-Negative Universal Differential Equations With Applications in Systems Biology
Maren Philipps, Antonia Körner, Jakob Vanhoefer +2
Universal differential equations (UDEs) leverage the respective advantages of mechanistic models and artificial neural networks and combine them into one dynamic model. However, th…
stat.ML2024
Assessment of Uncertainty Quantification in Universal Differential Equations
Nina Schmid, David Fernandes del Pozo, Willem Waegeman +1
Scientific Machine Learning is a new class of approaches that integrate physical knowledge and mechanistic models with data-driven techniques for uncovering governing equations of…
q-bio.QM2024
Exploration of methods for computing sensitivities in ODE models at dynamic and steady states
Polina Lakrisenko, Dilan Pathirana, Daniel Weindl +1
Estimating parameters of dynamic models from experimental data is a challenging, and often computationally-demanding task. It requires a large number of model simulations and objec…