New Trends in Mathematics and Brain Mechanics
The Mathematical Challenges in Brain Mechanics research program addresses the critical shift in neuroscience where neurodegenerative diseases (like Alzheimer’s and Parkinson’s) are increasingly understood through the lens of fluid dynamics and solute transport. This program aims to bridge the gap between complex brain physiology and rigorous mathematics, creating a specialized framework for modeling how fluids and solutes move within the brain.
Please note that day 1, February 11 will be at The Norwegian Academy of Science and Letters. Day 2 and day 3, February 12-13 will be at Simula Research Laboratory.
Provisional Programme (subject to change)
Day 1, Wednesday February 11 at The Norwegian Academy of Science and Letters
Neurodegeneration and Cerebral Circulation
09:15-09:30
Registration and welcome
09:30-10:10
Stephen Payne: Multiple Time Scales in Brain Mechanics
10:10-10:50
Mattia Corti: Mathematical and numerical models for neurodegenerative diseases
10:50-11:20
Coffee break
11:20-12:00
Christoffer G. Alexandersen: Modeling neurodegenerative disease progression and neuronal activity
12:00-14:40
Lunch
14:20–15:00
Andreas A. Linninger: Hemodynamic atlas of the cerebral vasculature
15:00-15:40
Michele Marino: Perspectives on Brain Vascular Mechanics: Regulation, Adaptation, and Intervention in the Circle of Willis
15:40-16:10
Coffee break
16:10-16:50
Lucas Omar Müller: Blood flow in the human cerebral cortex: Large-scale pial vascularization and 1D simulation
16:50-17:30
Francesco Costanzo: Brain motion and functional hyperemia as drivers of convective fluid flow in the CNS
17:30-18:30
Reception
17:30-18:30
Social dinner
Day 2, Thursday February 12 at Simula Research Laboratory
Mathematical Neuroscience
09:30-10:10
Michael J. Ward: Diffusive Capture and Oscillator Synchronization for Spatially Segregated Reactive Patches Coupled by a PDE Diffusive Field
10:10-10:50
Delio Mugnolo: Diffusion and consensus in networks
10:50-11:20
Coffee break
11:20-12:00
Xue-Cheng Tai: Mathematical explanations for Neural networks and Transformers and applications to fluid structure interactions simulations
12:00-12:40
Kent-Andre Mardal: TBA
12:40-14:20
Lunch
14:20-14:40
Francesca Ballatore: Modelling and simulation of anisotropic growth in brain tumours through poroelasticity: A study of ventricular compression and therapeutic protocols
14:40-15:00
Stephan B. Lunowa: Hybrid poro-elastic numerical models and application to tumor growth
15:00-15:20
Nana Berre: Cut Finite Element Methods for Poroelasticity
15:20-15:40
Andres Eduardo Rubiano Martinez: Fully mixed virtual element schemes for steady-state poroelastic stress-assisted diffusion
15:40-16:10
Coffee break
16:10-16:30
Anna Ranno: Full and Reduced Models of Hemodynamics in Stented Arteries
16:30-16:50
Piermario Vitullo: Neural Model Order Reduction with Domain Decomposition for Multiscale Problems
16:50-17:10
Sergio Carrasco Hidalgo: Fully mixed FEM for a steady frictionless thermoelastic contact problem
17:10-17:30
Nunzio Dimola: Neural Preconditioning strategies for Mixed Dimensional PDEs
Day 3, Friday February 13 at Simula Research Laboratory
Multiphysics Modeling and Numerical Methods
09:30-10:10
Hector Gomez: Multiphysics modeling of the CNS
10:10-10:50
Michele Terzano: Biphasic biomechanics of brain tissue: Insights from ultrasoft hydrogels
10:50-11:20
Coffee break
11:20-12:00
Jessika Camaño: Comparison of Two Approximation Approaches to the Electroencephalography Inverse Problem
12:00-12:40
Matteo Taffetani: Mechanics of poroelastic media with heterogeneous properties
12:40-14:20
Lunch
14:20-15:00
Ricardo Oyarzúa: Momentum and mass conservative pseudostress-based mixed finite element methods for fluid flows
15:00-15:40
Nicolás A. Barnafi: Monotone Operator Convergence Theory for Generalized Porous Media Equation
15:40-16:10
Coffee break
16:10-16:40
Open Discussion: From brain mechanics to predictive brain models
16:40-17:00
Closing Session