Albert Cardona<p>Applied mathematicians work on the best problems. From Prof. Maria Bruna's group:</p><p>"Lane formation and aggregation spots in a model of ants", Bruna, M., Burger, M., & de Wit, O. (2024). <br><a href="https://arxiv.org/pdf/2401.15046" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">arxiv.org/pdf/2401.15046</span><span class="invisible"></span></a></p><p>"We investigate an interacting particle model to simulate a foraging colony of ants, where each ant is represented as an active Brownian particle. The interactions among ants are mediated through chemotaxis, aligning their orientations with the upward gradient of the pheromone field. [...] our study introduces a parameter that enables the reproduction of two distinctive behaviors: the well-known Keller–Segel aggregation into spots and the formation of traveling clusters, without relying on external constraints such as food sources or nests. [...] Remarkably, the mean-field PDE not only supports aggregation spots and lane formation but also unveils a bistable region where these two behaviors compete."</p><p><a href="https://mathstodon.xyz/tags/ants" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ants</span></a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>maths</span></a> <a href="https://mathstodon.xyz/tags/MathModeling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathModeling</span></a></p>