3 July 2026
Check out the latest article from A. Ahern, A. Goriely, E. Kuhl, P.F. Antonietti, and me, "A whole-brain model of amyloid beta accumulation and cerebral hypoperfusion in Alzheimer's disease" recently published in Computer Methods in Applied Mechanics and Engineering.
In this work, we propose a whole-brain model coupling amyloid beta and blood vessel through a hybrid model consisting of a reaction-diffusion system for the protein dynamics and porous-medium model of blood flow within and between vascular networks.
Motivated by the "two-hit vascular hypothesis" of Alzheimer's disease that hypoperfusive vascular damage triggers amyloid beta pathology, we also demonstrate that localized hypoperfusion, in response to injury, can destabilize the healthy steady state and trigger brain-wide disease outbreak.
29 June 2026
I am delighted to announce that I have been awarded, ex aequo, the Anile-ECMI Prize for Mathematics in Industry 2026. The award was announced on June 29, 2026, during the 23rd ECMI Conference on Industrial and Applied Mathematics.
The prize is funded by ECMI and the Fraunhofer Institute for Industrial Mathematics (ITWM, Kaiserslautern). The evaluation committee selected my thesis "Mathematical Models and Numerical Methods for Neurodegenerative Diseases" with the following motivation:
"For his work on the development of digital twins of the human brain and neurodegenerative diseases. His research combines rigorous mathematical foundations with advanced modeling and numerical methods, representing a significant step toward understanding both physiological and pathological brain functions. The work is of high scientific value and has considerable potential impact in areas such as neurology."
As part of the award, I had the possibilty to present my scientific results in a plenary session at the ECMI Conference.
23 June 2026
Our last preprint "The lymph 2.0 library: p-adaptive algorithms and parallel assembly strategies for polytopal DG methods" from C.B. Leimer Saglio, S. Pagani, P.F. Antonietti, and me is now out on ArXiv and MOX Report.
This work presents a new release of the lymph 2.0 library, an open-source MATLAB framework for high-order discontinuous Galerkin discretizations on general polytopal meshes. This version is extended to support discretizations with element-wise polynomial approximation degrees, which allows the design of p-adaptive strategies based on a posteriori error indicators. In addition, the library introduces a unified assembly framework that abstracts the construction of discrete operators from the underlying physical model, improving code modularity, parallelism, maintainability, and extensibility. Moreover, the proposed approach enables shared-memory parallelism through dedicated parallel tools. Several numerical examples demonstrate the effectiveness of the proposed developments in reducing the computational cost while preserving approximation accuracy.
16 June 2026
Our last preprint, "Optimized high-order IMEX-RK schemes for degenerate diffusion-reaction problems with application to travelling waves phenomena", from P.F. Antonietti, G. Orlando and me is now out on ArXiv and MOX Report.
In this work, we study a class of IMplicit-EXplicit Runge--Kutta (IMEX-RK) schemes for the numerical approximation of reaction and diffusion-reaction problems. Such models may admit travelling wave solutions and, motivated by this feature, the proposed time integration schemes are designed to accurately capture sharp propagating fronts. We also investigate a semi-implicit formulation that enables a targeted treatment of stiffness by isolating its relevant contributions. The time discretization is coupled with a high-order polygonal discontinuous Galerkin method for space discretization, resulting in a flexible and robust framework for the treatment of multiscale dynamics in complex geometries.