Topic: bifurcation analysis

Develop methods combining bifurcation analysis, robust optimisation and uncertainty quantification for nonlinear structural dynamics and aeroelastic flutter mitigation in high-altitude, long-endurance drones. The work includes modelling uncertain nonlinear systems, numerical implementation and comparative evaluation of robust bifurcation-diagram optimisation. The ANR FlexHALE appointment lasts 18 months in Inria Saclay’s PLATON team, with a start no later than January 2027 and approximate gross pay of €2,700 per month.

The physiological properties of neurons influence their population dynamics to shape neural computation and behavior. These physiological properties are diverse: the brain is composed of many genetically distinct neuronal cell types with pronounced physiological and functional differences. But neurons of the same cell type are also not identical, and exhibit heterogeneity in their physiological properties. We call this "within-type" heterogeneity, in contrast to the former, "between-type" heterogeneity. Whereas the contributions of distinct neuron types to neural network dynamics has been stud

Neural mass models (NMM) seek to unveil the fundamental principles governing macroscopic neural activity, drawing insights from the brain's intricate and multi-scale structure. The advent of an exact mean-field theory for networks of quadratic integrate-and-fire (QIF) neurons represents a significant leap forward in our comprehension of the link between microscale neural mechanisms and mesoscopic brain activity [1]. This model establishes a robust coupling between two biophysically relevant macroscopic quantities: the firing rate and the mean membrane potential, which collectively drive the ev

The nervous system likely evolved to control behavior. However, the earliest nerve nets were highly decentralized, raising questions about how such control was achieved. To explore this question, we study neural dynamics in Clytia hemisphaerica, a genetically accessible hydrozoan jellyfish. Despite lacking a centralized nervous system, Clytia has a complex behavioral repertoire that is modulated by internal states.1 Using historical electrophysiology results and newly acquired behavioral data, we created multiscale models of Clytia’s nervous system during the control of rhythmic swim contracti

Cortical activity is characterized by oscillatory dynamics at many scales. To capture such dynamics in a computational model and elucidate on its putative functional roles, we simulated recurrent networks consisting of coupled damped harmonic oscillators (DHOs), so called HORNs. In HORNs, each DHO node represents the aggregate activity of a recurrently connected E-I circuit such as a cortical column. Mathematically, a DHO is given by a 2nd order ordinary differential equation with a single state variable x (amplitude) To model different intrinsic properties of an underlying E-I circuit's recur

Epilepsy affects around 50 million people worldwide, with approximately 30% of cases proving drug resistant. An alternative treatment for drug-resistant cases, called ketogenic diet (KD), leverages a carbohydrate poor diet, and has been pioneered in the early 20th century. We introduce a model of a population of quadratic integrate-and-fire neurons where the metabolic feedback associated with KD affects neuronal excitability. Our proposed mechanism for seizure control hinges on the presence of adenosine triphosphate (ATP)-dependent potassium channels, whose activity, in the absence of ATP, res