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A Gran plot is used to predict the equivalence volume or endpoint of a potentiometric or acid-base titration without reaching the endpoint. Typically, titration data is collected as a function of the titrant's volume up to a point less than the equivalence volume and then transformed into a linear format. The straight line is extended to the x-axis, indicating the necessary titrant volume to achieve the equivalence point.
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Updated: May 11, 2025

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature
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TSTA-GCN: trend spatio-temporal traffic flow prediction using adaptive graph convolution network.

Xinlu Zong1,2, Jiawei Guo3, Fucai Liu3

  • 1School of Computer Science, Hubei University of Technology, Wuhan, 430068, China. zongxinlu@126.com.

Scientific Reports
|April 18, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a novel Trend Spatio-Temporal Adaptive Graph Convolution Network (TSTA-GCN) for metro passenger flow prediction. The TSTA-GCN model effectively captures complex spatial and temporal dependencies for accurate short-term and long-term forecasting.

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Area of Science:

  • Transportation Science
  • Artificial Intelligence
  • Data Science

Background:

  • Metro passenger flow prediction faces challenges in balancing long-term and short-term demands.
  • Accurately modeling spatial and temporal dependencies is crucial for effective metro transit management.

Purpose of the Study:

  • To develop an advanced model for metro passenger flow prediction.
  • To address the complexities of spatio-temporal dependencies in transit data.
  • To improve the accuracy of both short-term and long-term passenger flow forecasts.

Main Methods:

  • A Trend Spatio-Temporal Adaptive Graph Convolution Network (TSTA-GCN) model was developed.
  • A trend convolutional self-attention mechanism was employed to learn temporal trends.
  • Adaptive graph convolution and spatio-temporal interaction modules were utilized to capture spatial and dynamic correlations.

Main Results:

  • The TSTA-GCN model demonstrated superior performance compared to state-of-the-art baseline methods.
  • The model effectively predicted both short-term and long-term metro passenger flow.
  • Experimental results validated the model's capability in handling spatio-temporal heterogeneity.

Conclusions:

  • The TSTA-GCN model offers a robust solution for metro passenger flow prediction.
  • The proposed method enhances the understanding and forecasting of urban transit dynamics.
  • This research contributes to optimizing metro operations through accurate passenger flow analysis.