Mathematical model helps to better understand the dynamics of interactions between viruses

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 fitness variation among microorganisms, meaning their aptitude to survive and reproduce in given conditions, 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 against the host's immune response, or 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 that enables extension beyond such limitation. Based on the Lotka-Volterra model, widely used in ecology, the researchers propose a framework that allows, in addition, verification of scenarios of frequency-dependent competition between microbial strains in a host leading up to transmission.

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."

Erida Gjini, Study Lead Author, Instituto Gulbenkian de Ciência

"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.