Researchers propose a mathematical model to better understand the dynamics of the interactions between microorganisms within hosts and their transmission ability. The framework, published in Frontiers in Microbiology, was applied on transmission data of the influenza virus, and offers to be a new tool for anticipating the consequences of microbial diversity and optimizing disease control measures.
Estimating the aptitude of microorganisms to survive and reproduce in given conditions (their fitness variation), allows to predict their infection trajectories in single hosts and transmission in host populations. Among two viral strains, which will be the one to win upon administration of drugs and vaccines? In virus dynamics, understanding in detail such scenarios is crucial, given the increase in resistance to antivirals and other evolutionary changes. Nowadays, this understanding is enhanced via mathematical models, but the majority of current approaches describe limited scenarios, focusing on competitive exclusion, where one strain of the virus always wins over another because it has higher fitness.
The Mathematical Modelling of Biological Processes research group from Instituto Gulbenkian de Ciência developed a mathematical framework based on the Lotka-Volterra model, that enables extension beyond such limitation. “We applied this framework to a dataset obtained from previous studies, where they estimated different parameters related to differences in transmission fitness between two influenza virus strains in ferrets”, explains Erida Gjini, lead author of the study. “We went further and, by considering more complex interactions between viruses and the role of stochasticity in transmission, we showed that for the same dataset our model predicts a scenario of coexistence between strains and reveals a higher transmitted viral load”, concludes the researcher.
The advantage of this framework lies in its simplicity and generality: the model can be applied to other ecological scenarios of microbial competition, while allowing exploration of more outcomes from the competitive dynamics between two strains. This study was developed at Instituto Gulbenkian de Ciência and in collaboration with the Master program in Biostatistics at the Faculty of Sciences, University of Lisbon.
Dimas Martins A, Gjini E. Modeling Competitive Mixtures With the Lotka-Volterra Framework for More Complex Fitness Assessment Between Strains. Front Microbiol. 2020;11. doi:10.3389/fmicb.2020.572487
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