Non-negative universal differential equations with applications in systems biology.
In: (10th IFAC Conference on Foundations of Systems Biology in Engineering, FOSBE 2024, 8-11 September 2024, Corfu Island). Frankfurt ; München [u.a.]: Elsevier, 2024. 25-30 (IFAC PapersOnline ; 58)
Universal differential equations (UDEs) leverage the respective advantages of mechanistic models and artificial neural networks and combine them into one dynamic model. However, these hybrid models can suffer from unrealistic solutions, such as negative values for biochemical quantities. We present non-negative UDE (nUDEs), a constrained UDE variant that guarantees non-negative values. Furthermore, we explore regularisation techniques to improve generalisation and interpretability of UDEs.
KeywordsKinetic Modelling And Control Of Biological Systems ; Neural Networks ; Parameter And State Estimation ; Parametric Optimization ; Systems Biology
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ISSN (print) / ISBN2405-8963
e-ISSN1474-6670
ISBN
Book Volume Title
Conference Title10th IFAC Conference on Foundations of Systems Biology in Engineering, FOSBE 2024