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Combining Two Methods of Global Sensitivity Analysis to Investigate MRSA Nasal Carriage Model
Angela M Jarrett1, N G Cogan2, M Y Hussaini2
1Institute for Computational Engineering and Sciences, University of Texas at Austin, 201 East 24th St, Austin, TX, 78735, USA. ajarrett@utexas.edu.
Bulletin of Mathematical Biology
|July 29, 2017
Summary
This study uses sensitivity analysis to simplify a model of Staphylococcus aureus nasal carriage. The simplified model reveals key parameters influencing infection dynamics, offering insights into bacterial colonization.
Area of Science:
- Microbiology
- Mathematical Modeling
- Computational Biology
Background:
- Staphylococcus aureus nasal carriage is a significant public health concern.
- Understanding the dynamics of S. aureus colonization is crucial for developing effective interventions.
- Mathematical models are valuable tools for exploring complex biological systems.
Purpose of the Study:
- To apply sensitivity analysis techniques to a model of bacterial colonization of the anterior nares.
- To identify key parameters influencing Staphylococcus aureus nasal carriage dynamics.
- To develop a reduced model for enhanced understanding of the biological phenomenon.
Main Methods:
- Application of partial rank correlation coefficients (PRCC) to assess parameter sensitivity over time.
- Development of a reduced model with fewer parameters than the full model.
- Calculation of Sobol' indices to identify interacting parameters and their additional effects.
Main Results:
- Identification of a reduced model with less than half the parameters of the full model.
- Discovery that only two parameters significantly influenced the model's behavior concerning initial infection size.
- These key parameters have biological evidence suggesting a connected but not fully understood relationship.
Conclusions:
- Combining sensitivity measures provides synergistic insights into both model and biological structures.
- The study elucidates model robustness and biological mechanisms of S. aureus nasal carriage.
- Further research is warranted to fully understand the identified interacting parameters.

