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Automatic validation of computational models using pseudo-3D spatio-temporal model checking.

Ovidiu Pârvu1, David Gilbert2

  • 1Department of Computer Science, Brunel University, Kingston Lane, Uxbridge, UB8 3PH, London, UK. ovidiu.parvu@brunel.ac.uk.

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Summary
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We developed a new method to automatically validate computational models for systems biology, considering both spatial and temporal properties. This approach is crucial for advancing complex multiscale biological modeling and real-world applications.

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Area of Science:

  • Systems Biology
  • Computational Biology
  • Synthetic Biology

Background:

  • Computational models are vital for systems and synthetic biology predictions and designs.
  • Scaling up models for clinical applications requires handling complexity, multiscale interactions, and spatio-temporal dynamics.
  • Traditional model checking methods are limited to non-dimensional, temporal properties, insufficient for large-scale spatial systems.

Purpose of the Study:

  • To develop and implement a methodology for the automatic validation of computational models.
  • To address the need for validating models that incorporate both spatial and temporal properties.
  • To enable the validation of complex, spatio-temporal, multiscale biological models.

Main Methods:

  • Representing stochastic biological systems using abstract models with linear time and pseudo-3D space.
  • Utilizing parameterized image processing modules to analyze spatial patterns and clusters from time-series data.
  • Introducing Probabilistic Bounded Linear Spatial Temporal Logic for analyzing spatio-temporal properties.
  • Employing the Mudi model checker for probabilistic validation against formal spatio-temporal specifications.

Main Results:

  • A methodology for automatic validation of computational models based on spatial and temporal properties was developed and implemented.
  • The Probabilistic Bounded Linear Spatial Temporal Logic effectively captures changes in spatial and numeric properties over time.
  • The Mudi model checker probabilistically determines if formal spatio-temporal specifications hold for computational models.
  • The approach was demonstrated through case studies on bacterial colony growth and cell chemotaxis.

Conclusions:

  • The Mudi platform provides a formal methodology for validating computational models against spatio-temporal logic properties.
  • This work is a precursor for developing and validating more complex multidimensional and multiscale models.
  • The developed methodology enhances the reliability of computational models for biological research and potential clinical applications.