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Gaussian process emulation for exploring complex infectious disease models.

Anna M Langmüller1,2,3, Kiran A Chandrasekher1, Benjamin C Haller1

  • 1Department of Computational Biology, Cornell University, Ithaca, New York, United States of America.

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Gaussian Process emulation simplifies complex epidemiological models for disease control. This method accurately predicts dengue epidemic metrics, identifying key drivers like infectivity and mobility for better public health strategies.

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Area of Science:

  • Epidemiology
  • Computational Biology
  • Statistical Modeling

Background:

  • Complex epidemiological models with high biological realism are computationally challenging for parameter exploration.
  • Individual-based models (IBMs) offer realism but suffer from complexity and numerous parameters.
  • Dengue epidemics are influenced by factors like social structure, human movement, and seasonality.

Purpose of the Study:

  • To demonstrate Gaussian Process (GP) emulation as a method to overcome computational challenges in complex epidemiological models.
  • To develop and utilize GP surrogate models for rapid prediction of key epidemiological metrics.
  • To identify key drivers of disease dynamics and calibrate models with real-world epidemic data.

Main Methods:

  • Developed an abstract individual-based model (IBM) inspired by dengue dynamics.
  • Focused on three epidemiological metrics: outbreak probability, maximum incidence, and epidemic duration.
  • Trained three Gaussian Process (GP) surrogate models to approximate IBM outcomes across an eight-dimensional parameter space.

Main Results:

  • GP surrogate models enabled rapid prediction of epidemiological metrics within the IBM's parameter space.
  • Identified average infectivity and human mobility as key drivers of epidemic metrics.
  • Seasonal timing of initial infection influences epidemic outbreak progression.
  • Calibration with over 1,000 dengue epidemics in Colombia validated GP model predictive power.

Conclusions:

  • Gaussian Process emulation significantly enhances the utility of complex IBMs in epidemiology.
  • This approach allows for greater biological realism and accuracy in disease modeling.
  • Statistical emulation facilitates empirical data analysis, aiding in the identification of high-risk areas and improving disease control efforts.