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The 1D NMR spectrum of large and complex molecules like natural products has complicated splitting patterns and overlapping signals, which can be easily interpreted using 2-dimensional (2D) NMR. Unlike 1D NMR, 2D NMR has two frequency axes that provide the coupling information between the nucleus A and nucleus B in a molecule. The process from which 2D spectra are obtained has four steps.
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A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
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Updated: Sep 11, 2025

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Generating synthetic multidimensional molecular time series data for machine learning: considerations.

Gary An1, Chase Cockrell1

  • 1Department of Surgery, University of Vermont Larner College of Medicine, Burlington, VT, United States.

Frontiers in Systems Biology
|August 14, 2025
PubMed
Summary
This summary is machine-generated.

Generating synthetic mediator trajectories (SMTs) is vital for AI in medicine. New methods using complex simulations address data gaps, improving AI models for disease forecasting and drug development.

Keywords:
agent-based modelartificial intelligenceartificial neural networkmachine learningmechanistic modelingmultiscale modelingsynthetic datatime series data

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Area of Science:

  • Biomedical Artificial Intelligence (AI)
  • Computational Biology
  • Machine Learning (ML)

Background:

  • Synthetic data generation is crucial for AI, but current methods are insufficient for biomedical time series data.
  • Existing techniques struggle with data sparsity, the Curse of Dimensionality, and biological system complexity.
  • There's a critical gap in generating synthetic multi-dimensional molecular time series data (SMTs) for AI.

Purpose of the Study:

  • To address the limitations of current synthetic data generation methods for AI in biomedical research.
  • To propose and justify a novel approach for generating synthetic mediator trajectories (SMTs).
  • To enhance the development of AI systems for disease forecasting and drug development.

Main Methods:

  • Critique of statistical and data-centric ML approaches for SMT generation.
  • Advocacy for complex multi-scale mechanism-based simulation models.
  • Incorporation of principles like Maximal Entropy to handle epistemic incompleteness.

Main Results:

  • Proposed simulation models can generate SMTs that overcome limitations of existing methods.
  • The approach accounts for perpetual data sparsity and biological system complexity.
  • Generated SMTs minimize overfitting and enhance generalizability in AI models.

Conclusions:

  • Complex multi-scale simulation models offer a viable solution for generating high-quality SMTs.
  • This advancement is essential for developing robust AI-driven biomarker and mediator signature forecasting systems.
  • Improved SMT generation supports optimized therapeutic control development and drug discovery pipelines.