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Related Concept Videos

State Space Representation01:27

State Space Representation

190
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
190
State Space to Transfer Function01:21

State Space to Transfer Function

191
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
191
Transfer Function to State Space01:23

Transfer Function to State Space

218
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an...
218

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Updated: Jun 19, 2025

Dynamic Digital Biomarkers of Motor and Cognitive Function in Parkinson's Disease
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Learning metabolic dynamics from irregular observations by Bidirectional Time-Series State Transfer Network.

Shaohua Xu1,2, Ting Xu1, Yuping Yang1

  • 1School of Basic Medical Sciences and the First Affiliated Hospital Department of Radiation Oncology, Zhejiang University School of Medicine, Hangzhou, China.

Msystems
|July 26, 2024
PubMed
Summary

We developed a new network model, the Bidirectional Time-Series State Transfer Network (BTSTN), to accurately model microbial metabolic dynamics from irregular biological data, improving biomanufacturing efficiency.

Keywords:
bidirectional time-series state transfer networkirregular observationmetabolic dynamicsneural networktime-series modeling

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Area of Science:

  • Biotechnology
  • Systems Biology
  • Machine Learning

Background:

  • Modeling microbial metabolic dynamics is crucial for optimizing biomanufacturing processes.
  • Traditional white-box models struggle with industrial strains lacking detailed network information.
  • Existing black-box models often require pre-processing of irregular, time-series data, introducing errors.

Purpose of the Study:

  • To introduce a novel deep learning approach for modeling metabolic dynamics directly from irregular time-series observations.
  • To address the limitations of existing methods in handling real-world biomanufacturing data, which is often noisy and incomplete.
  • To improve the accuracy and robustness of metabolic dynamic modeling for industrial applications.

Main Methods:

  • Development of the Bidirectional Time-Series State Transfer Network (BTSTN), a deep learning architecture.
  • Training and evaluation using synthetic datasets from ideal dynamic systems.
  • Validation with a real-world fermentation process dataset exhibiting irregular measurements and noise.

Main Results:

  • BTSTN accurately reconstructs dynamic behaviors of microbial metabolic systems.
  • The model demonstrates robust prediction of future metabolic trajectories.
  • BTSTN outperforms state-of-the-art methods in handling missing measurements and noise.

Conclusions:

  • BTSTN offers a powerful new tool for modeling microbial metabolic dynamics, particularly from challenging, irregular data.
  • This approach enhances the reliability and accuracy of biomanufacturing process optimization.
  • BTSTN's ability to natively learn from irregular data makes it a significant advancement in the field.