Year: 2026
Type: article
Abstract: We study distributed agreement in microbial distributed systems under stochastic population dynamics and competitive interactions. Motivated by recent applications in synthetic biology, we examine how the presence and absence of direct competition among microbial species influences their ability to reach majority consensus . In this problem, two species are designated as input species, and the goal is to guarantee that eventually only the input species which had the highest initial count prevails. We show that direct competition dynamics reach majority consensus with high probability even when the initial gap between the species is small, i.e., $$\Omega (\sqrt{n\log n})$$ , where n is the initial population size. In contrast, we show that absence of direct competition is not robust: solving majority consensus with constant probability requires a large initial gap of $$\Omega (n)$$ . To corroborate our analytical results, we use simulations to show that these consensus dynamics occur within practical biological time scales.
Source: Natural Computing
Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire Interdisciplinaire des Sciences du Numérique, Institut national de recherche en sciences et technologies du numérique, Institute of Science and Technology Austria, AgroParisTech, Microbiologie de l’alimentation au service de la santé, Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement, Institut Universitaire de France, Humboldt-Universität zu Berlin
Language: English
Topic: DNA and Biological Computing
Subfield: Theoretical Computer Science
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W3137131129