Identifiability from a few variables

PABLO SOLERNÓ; MERCEDES PÉREZ MILLÁN; GABRIELA JERONIMO

Mineápolis

Congreso; SIAM Conference on the Life Sciences (LS18); 2018

Biological interaction networks are used to represent biological systems and the mathematical models describing their dynamics. Such networks frequently arise in systems biology and are used to model processes like intracellular signaling, cellular differentiation or apoptosis that are of great interest in the life sciences. The mathematical analysis is complicated by the complexity of biological systems and by large parameter uncertainties. This minisymposium focuses on mathematical tools that can aid the study of biological interaction networks despite these challenges. Topics of interest range from conditions for permanence, persistence, and multiple equilibria to questions of parameter identifiability. The ODEs under study are often defined by polynomial or rational functions. Studying these questions therefore draws on several mathematical fields, ranging from dynamical systems to algebra and algebraic geometry. This minisymposium will be a venue for exchanges on the latest developments in this area.