Deep Learning for Fast Inference of Mechanistic Models' Parameters
This work addresses the need for efficient parameter estimation in bioprocess engineering, particularly for new organisms or strains, though it is incremental as it builds on existing deep learning and mechanistic modeling approaches.
The authors tackled the computationally expensive problem of inferring parameters from mechanistic models in bioprocess engineering by using deep neural networks to predict parameters directly from observations, achieving orders of magnitude faster inference with slightly improved accuracy compared to conventional fitting methods.
Inferring parameters of macro-kinetic growth models, typically represented by Ordinary Differential Equations (ODE), from the experimental data is a crucial step in bioprocess engineering. Conventionally, estimates of the parameters are obtained by fitting the mechanistic model to observations. Fitting, however, requires a significant computational power. Specifically, during the development of new bioprocesses that use previously unknown organisms or strains, efficient, robust, and computationally cheap methods for parameter estimation are of great value. In this work, we propose using Deep Neural Networks (NN) for directly predicting parameters of mechanistic models given observations. The approach requires spending computational resources for training a NN, nonetheless, once trained, such a network can provide parameter estimates orders of magnitude faster than conventional methods. We consider a training procedure that combines Neural Networks and mechanistic models. We demonstrate the performance of the proposed algorithms on data sampled from several mechanistic models used in bioengineering describing a typical industrial batch process and compare the proposed method, a typical gradient-based fitting procedure, and the combination of the two. We find that, while Neural Network estimates are slightly improved by further fitting, these estimates are measurably better than the fitting procedure alone.