While the biochemistry of blood coagulation is well understood, less is known about how the mechanobiology of platelets influences clot remodeling and thus initiates tissue repair. Platelets not only release biochemical components needed to rapidly form fibrin-rich thrombi but also initiate wound site contraction. Research has shown that platelets are responsible for assembling the initial...
Mechanical ventilation is a critical method for patients with impaired pulmonary function, but it can cause ventilator-induced lung injury. Clinicians must balance effective respiration with strategies that protect lung tissue. However, the local effects of mechanical ventilation are challenging to measure or observe by medical imaging. Computational models promise physics-based forecasts on...
Partial differential equations (PDEs) are invaluable tools for modeling complex physical phenomena. However, only a limited number of PDEs can be solved analytically, leaving the majority of them requiring computationally expensive numerical approximations. To address this challenge, reduced order models (ROMs) have emerged as a promising field in computational sciences, offering efficient...
The efficient and accurate resolution of multiphysics problems posed on intricate geometries typically requires time-consuming meshing, and the accurate representation of the geometry and solutions features with standard meshes may require excessive computational power.
Polytopic meshes can be used for complexity reduction for multi-physics problems posed on intricate geometries. For...
This contribution reviews recent advancements in mechanobiology at the University of Brescia (UNIBS), with particular emphasis on the development of advanced computational models—built on the deal.II finite element library—for investigating cell motility.
Controlling cell motility remains a major scientific challenge, as it underpins key biological processes such as metastasis, embryogenesis,...
The objective of my talk is the efficient implementation of solvers for linear systems arising from the discretization of partial differential equations (PDEs) with higher-order finite element methods. The classical workflow is to first construct a sparse matrix and a right-hand side through the evaluation of element integrals in one part of the code. The matrix and vector are then passed to a...
We introduce augmented Lagrangian preconditioning strategies for solving linear systems arising from coupled problems. In particular we explore in details finite element discretizations of fictitious domain formulations with Lagrange and distributed Lagrange multipliers. The presentation focuses on two- and three-block structures appearing in Poisson, Stokes, and elliptic interface problems,...
The scientific library MUMPS (for MUltifrontal Massively Parallel Solver) solves large systems of sparse linear equations, AX=B, in a robust and efficient way on high performance computers. The matrix A is a large square matrix and X and B are vectors or matrices whose sparsity can also be exploited. MUMPS is an open source software, distributed under the CeCILL C licence which can be...
We present a tutorial on PSCToolkit, a set of libraries for high-performance linear solvers on parallel computers. The toolkit provides many advanced features besides the usual Krylov solvers, such as support for Algebraic Multigrid (AMG) preconditioning techniques based on the aggregation of unknowns, employing both standard strength-of-connection measures and graph-matching strategies....
A key aspect of vascularized tissues is the fact that their properties are heavily influenced by the presence of the vascular tree. On one hand vessels are expanding and contracting due to systemic circulation on the other hand the surrounding matrix reacts with a counter-active (elastic) response. This means that neither the circulation at the capillaries, nor the elastic properties of the...
In this talk, we review mathematical and numerical models of the human heart that are able to capture both its physiology and pathological conditions. We focus on the differential models underlying cardiac electrophysiology, mechanics, and blood flow dynamics, including those that describe the fiber bundles characteristic of cardiac tissue. We then present an overview of the numerical methods...
We present an overview of life^x, a library designed for multiphysics simulations for cardiovascular applications, based on deal.ii. In this session, we will describe the structure and general-purpose features of the library, focusing on the multiphysics coupling capabilities that the it offers. Additionally, we will illustrate the planned future developments and improvements. Finally,...
