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Published on: July 22, 2022
Impact of heterogeneity on infection probability: Insights from single-hit dose-response models
1School For Natural and Computing Sciences, SUPA, University of Aberdeen, Aberdeen, AB24 3UE, United Kingdom.
Abstract:
The process of infection of a host is complex, influenced by factors such as microbial variation within and between hosts as well as differences in dose across hosts. This study uses dose-response and within-host microbial infection models to delve into the impact of these factors on infection probability. It is rigorously demonstrated that within-host heterogeneity in microbial infectivity enhances the probability of infection. The effect of infectivity and dose variation between hosts is studied in terms of the expected value of the probability of infection. General analytical findings, derived under the assumption of small infectivity, reveal that both types of heterogeneity reduce the expected infection probability. Interestingly, this trend appears consistent across specific dose-response models, suggesting a limited role for the small infectivity condition. Additionally, the vital dynamics behind heterogeneous infectivity are investigated with a within-host microbial growth model which enhances the biological significance of single-hit dose-response models. Testing these mathematical predictions inspire new and challenging laboratory experiments that could deepen our understanding of infections.
Insights
Microbial infection probability is complex. This study shows within-host microbial infectivity variation increases infection risk, while variation between hosts decreases it, offering insights for infection dynamics.
Area of Science:
- Mathematical Biology
- Infectious Disease Modeling
- Microbial Ecology
Background:
- Host infection processes are intricate, affected by microbial variations within and between hosts, and varying doses.
- Understanding these factors is crucial for predicting infection outcomes and developing effective interventions.
Purpose of the Study:
- To investigate the impact of microbial heterogeneity and dose variation on host infection probability using mathematical models.
- To analyze how within-host and between-host variations influence the likelihood of infection.
Main Methods:
- Utilized dose-response and within-host microbial infection models.
- Employed analytical methods, including those assuming small infectivity.
- Incorporated a within-host microbial growth model to explore heterogeneous infectivity dynamics.
Main Results:
- Within-host heterogeneity in microbial infectivity was demonstrated to enhance infection probability.
- Both within-host and between-host variations in infectivity and dose were found to reduce the expected infection probability.
- The observed trend held across various dose-response models, indicating robustness beyond the small infectivity assumption.
Conclusions:
- Heterogeneity in microbial infectivity plays a significant role in infection dynamics.
- Mathematical models provide valuable predictions for experimental validation in infection studies.
- Further research can be guided by these findings to deepen the understanding of host-pathogen interactions.
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