Evidence map›Paper›PMID 37787134›Full record

ArticleThe Journal of chemical physics2023

Integrative generalized master equation: A method to study long-timescale biomolecular dynamics via the integrals of memory kernels.

Siqin Cao, Yunrui Qiu, Michael L Kalin, Xuhui Huang

Abstract read
In one paragraph

Article in The Journal of chemical physics, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.

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0cells of the map it votes in
21citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

21 citing papers in PubMed.

  1. Article
  2. Article
  3. Article
  4. Article
  5. Article
  6. Article
  7. Article
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  9. Nonequilibrium relaxation exponentially delays the onset of quantum diffusion.Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  10. Review
  11. Article
  12. Markov-Type State Models to Describe Non-Markovian Dynamics.Journal of chemical theory and computation · 2025
    Article
  13. Article
  14. Information Bottleneck Approach for Markov Model Construction.Journal of chemical theory and computation · 2024
    Article
  15. Article
  16. Accurate Memory Kernel Extraction from Discretized Time-Series Data.Journal of chemical theory and computation · 2024
    Article
  17. Article
  18. Article
  19. Accurate estimates of dynamical statistics using memory.The Journal of chemical physics · 2024
    Article
  20. Article
4 · The record

Corrections and comments

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5 · Who and what money

Authors and funding

4 authors.

Siqin CaoDepartment of Chemistry, Theoretical Chemistry Institute, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.ORCID 0000-0002-5682-2172
Yunrui QiuDepartment of Chemistry, Theoretical Chemistry Institute, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.ORCID 0009-0003-2200-0490
Michael L KalinBiophysics Graduate Program, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.
Xuhui HuangDepartment of Chemistry, Theoretical Chemistry Institute, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.ORCID 0000-0002-7119-9358

Funding

Theory and Modeling of Functional Conformational Changes of RNA Polymerases_Diversity SupplementR01GM147652 · NIGMS · UNIVERSITY OF WISCONSIN-MADISON · PI Xuhui Huang · 2023 to 2026
$1.5M
NIGMS NIH HHS R01 GM147652
6 · The paper itself

Abstract

The generalized master equation (GME) provides a powerful approach to study biomolecular dynamics via non-Markovian dynamic models built from molecular dynamics (MD) simulations. Previously, we have implemented the GME, namely the quasi Markov State Model (qMSM), where we explicitly calculate the memory kernel and propagate dynamics using a discretized GME. qMSM can be constructed with much shorter MD trajectories than the MSM. However, since qMSM needs to explicitly compute the time-dependent memory kernels, it is heavily affected by the numerical fluctuations of simulation data when applied to study biomolecular conformational changes. This can lead to numerical instability of predicted long-time dynamics, greatly limiting the applicability of qMSM in complicated biomolecules. We present a new method, the Integrative GME (IGME), in which we analytically solve the GME under the condition when the memory kernels have decayed to zero. Our IGME overcomes the challenges of the qMSM by using the time integrations of memory kernels, thereby avoiding the numerical instability caused by explicit computation of time-dependent memory kernels. Using our solutions of the GME, we have developed a new approach to compute long-time dynamics based on MD simulations in a numerically stable, accurate and efficient way. To demonstrate its effectiveness, we have applied the IGME in three biomolecules: the alanine dipeptide, FIP35 WW-domain, and Taq RNA polymerase. In each system, the IGME achieves significantly smaller fluctuations for both memory kernels and long-time dynamics compared to the qMSM. We anticipate that the IGME can be widely applied to investigate biomolecular conformational changes.

Indexed as

DipeptidesMolecular Dynamics SimulationDipeptides

Identifiers

PMID37787134
PMCPMC11005468

What Socratic holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the Socratic graph.