Systems Biology: Identifiability analysis and parameter identification
via systems-biology informed neural networks
- URL: http://arxiv.org/abs/2202.01723v1
- Date: Thu, 3 Feb 2022 17:40:03 GMT
- Title: Systems Biology: Identifiability analysis and parameter identification
via systems-biology informed neural networks
- Authors: Mitchell Daneker and Zhen Zhang and George Em Karniadakis and Lu Lu
- Abstract summary: We introduce systems-biology informed neural networks for parameter estimation.
We also describe structural and practical identifiability analysis to analyze the identifiability of parameters.
- Score: 5.104519140921464
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: The dynamics of systems biological processes are usually modeled by a system
of ordinary differential equations (ODEs) with many unknown parameters that
need to be inferred from noisy and sparse measurements. Here, we introduce
systems-biology informed neural networks for parameter estimation by
incorporating the system of ODEs into the neural networks. To complete the
workflow of system identification, we also describe structural and practical
identifiability analysis to analyze the identifiability of parameters. We use
the ultridian endocrine model for glucose-insulin interaction as the example to
demonstrate all these methods and their implementation.
Related papers
- InVAErt networks for amortized inference and identifiability analysis of lumped parameter hemodynamic models [0.0]
In this study, we use inVAErt networks, a neural network-based, data-driven framework for enhanced digital twin analysis of stiff dynamical systems.
We demonstrate the flexibility and effectiveness of inVAErt networks in the context of physiological inversion of a six-compartment lumped parameter hemodynamic model from synthetic data to real data with missing components.
arXiv Detail & Related papers (2024-08-15T17:07:40Z) - Let's do the time-warp-attend: Learning topological invariants of dynamical systems [3.9735602856280132]
We propose a data-driven, physically-informed deep-learning framework for classifying dynamical regimes and characterizing bifurcation boundaries.
We focus on the paradigmatic case of the supercritical Hopf bifurcation, which is used to model periodic dynamics across a range of applications.
Our method provides valuable insights into the qualitative, long-term behavior of a wide range of dynamical systems, and can detect bifurcations or catastrophic transitions in large-scale physical and biological systems.
arXiv Detail & Related papers (2023-12-14T18:57:16Z) - An Interventional Perspective on Identifiability in Gaussian LTI Systems
with Independent Component Analysis [44.892642197610215]
We show that in Gaussian Linear Time-Invariant (LTI) systems, the system parameters can be identified by introducing diverse intervention signals.
We show that Hidden Markov Models, in general, and (Gaussian) LTI systems, fulfil a generalization of the Causal de Finetti theorem with continuous parameters.
arXiv Detail & Related papers (2023-11-29T19:51:35Z) - Persistence-based operators in machine learning [62.997667081978825]
We introduce a class of persistence-based neural network layers.
Persistence-based layers allow the users to easily inject knowledge about symmetries respected by the data, are equipped with learnable weights, and can be composed with state-of-the-art neural architectures.
arXiv Detail & Related papers (2022-12-28T18:03:41Z) - Design of Turing Systems with Physics-Informed Neural Networks [0.0]
We investigate the use of physics-informed neural networks as a tool to infer key parameters in reaction-diffusion systems.
Our proof-of-concept results show that the method is able to infer parameters for different pattern modes and types with errors of less than 10%.
arXiv Detail & Related papers (2022-11-24T08:01:22Z) - Identifiability and Asymptotics in Learning Homogeneous Linear ODE Systems from Discrete Observations [114.17826109037048]
Ordinary Differential Equations (ODEs) have recently gained a lot of attention in machine learning.
theoretical aspects, e.g., identifiability and properties of statistical estimation are still obscure.
This paper derives a sufficient condition for the identifiability of homogeneous linear ODE systems from a sequence of equally-spaced error-free observations sampled from a single trajectory.
arXiv Detail & Related papers (2022-10-12T06:46:38Z) - Learning to Learn with Generative Models of Neural Network Checkpoints [71.06722933442956]
We construct a dataset of neural network checkpoints and train a generative model on the parameters.
We find that our approach successfully generates parameters for a wide range of loss prompts.
We apply our method to different neural network architectures and tasks in supervised and reinforcement learning.
arXiv Detail & Related papers (2022-09-26T17:59:58Z) - Constructing Neural Network-Based Models for Simulating Dynamical
Systems [59.0861954179401]
Data-driven modeling is an alternative paradigm that seeks to learn an approximation of the dynamics of a system using observations of the true system.
This paper provides a survey of the different ways to construct models of dynamical systems using neural networks.
In addition to the basic overview, we review the related literature and outline the most significant challenges from numerical simulations that this modeling paradigm must overcome.
arXiv Detail & Related papers (2021-11-02T10:51:42Z) - System identification using Bayesian neural networks with nonparametric
noise models [0.0]
We propose a nonparametric approach for system identification in discrete time nonlinear random dynamical systems.
A Gibbs sampler for posterior inference is proposed and its effectiveness is illustrated in simulated and real time series.
arXiv Detail & Related papers (2021-04-25T09:49:50Z) - Provably Efficient Neural Estimation of Structural Equation Model: An
Adversarial Approach [144.21892195917758]
We study estimation in a class of generalized Structural equation models (SEMs)
We formulate the linear operator equation as a min-max game, where both players are parameterized by neural networks (NNs), and learn the parameters of these neural networks using a gradient descent.
For the first time we provide a tractable estimation procedure for SEMs based on NNs with provable convergence and without the need for sample splitting.
arXiv Detail & Related papers (2020-07-02T17:55:47Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.