Tardes de BioMatemática

Welcome to our website for the recurring meeting of (some part of) the Mathematical-Biology community in the Lisbon area, currently organized by Davide Masoero and Léonard Monsaingeon, in collaboration with ISA Mathematics Department.  We try to meet once every two months, with one or two seminars per session followed by tea/coffee break and informal discussions.

Meeting #4: Friday03/07/2026, 14h30-16h30

14:30 Pedro Tiago Monteiro (INESC-ID Instituto Superior Técnico) - Room S2  (Bloco de Aulas)

Modeling and analysis of logical regulatory networks 

Abstract: Biological regulatory networks exhibit complex dynamics that drive cellular decision-making and pattern formation. Logical modeling, particularly employing Boolean networks, has emerged as a rigorous mathematical formalism to capture these behaviors, bypassing the parameterization bottlenecks inherent to continuous differential systems. This talk explores the dynamical analysis of logical regulatory networks, focusing heavily on the complexities of asynchronous updating schemes. Computational strategies to estimate attractor reachability will be examined, demonstrating how to effectively delineate the state space of complex, high-dimensional cellular models. Furthermore, the concept of logical bifurcation diagrams will be introduced. This provides a discrete analog to continuous bifurcation theory, enabling the systematic study of how alterations in regulatory logic or boundary conditions restructure the network's asymptotic behavior. Together, these methodological advances illustrate the capacity of discrete formalisms to yield profound quantitative insights into the robustness and plasticity of biological systems. 

15:45 Tea and Parallel Discussions. Mathematics Building (Sertório do Monte Pereira)