Learning Deep Koopman Operators for Data-driven Model Discovery of Synthetic Biological Systems

Abstract

This effort developed a deep learning framework to discover Koopman network models that map causal dependencies between all measured biocircuit outputs, experimental input parameters, and contextual design parameters. The research discovered dynamic network models of how measured quantities (e.g. multiple fluorescent reporters) and monitored experimental parameters (e.g. OD, temperature, inducer concentration, age of media) are causally related, thus generalizing the concept of dynamical structure functions (and transfer functions) for arbitrary nonlinear systems. These models were used to identify categories and relationships of biological parts or biocircuits with analogous behavior, infer the state of latent variables to generate hypotheses for experimental surprise, predict and evaluate operating envelopes for stable system behavior, and quantitatively predict biocircuit dynamic response as a function of experimental parameters. The methods in this project combined the expressive power, scalability of deep learning algorithms and rigor of Koopman operator theory to discover data-driven dynamical system models for hypothesis generation and biocircuit characterization.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2021
Accession Number
AD1170384

Entities

People

  • Enoch Yeung

Organizations

  • University of California

Tags

Communities of Interest

  • Autonomy
  • Cyber
  • Energy and Power Technologies
  • Sensors

DTIC Thesaurus Topics

  • Air Force
  • Biosensors
  • Biotechnology
  • Chemical Kinetics
  • Chemistry
  • Computational Biology
  • Computational Science
  • Computer Programming
  • Computers
  • Data Curation
  • Data Mining
  • Data Science
  • Information Science
  • Logic Gates
  • Machine Learning
  • Neural Networks
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Physics Laboratories
  • Ribonucleic Acids
  • Synthetic Biology
  • Systems Biology

Readers

  • Neural Network Machine Learning.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Neural Networks