11th Summer School on Biomechanics

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11th Summer School on “Physics-Informed Modeling, Simulation and Experiments with Emphasis on the Cardiovascular System”

The lectures will cover the key ingredients of continuum mechanics, focusing on nonlinear elasticity. Details of the mechanical and structural modeling of fiber-reinforced soft materials, and characterization of their properties will be explained along with an analysis of the influence of residual stresses and the cross-linking of collagen fibers. In addition, aortic dissection and related in silico models with fluid-structure interactions will be analysed. Machine learning and physics-based computational modeling for solving real-world mathematical problems will be discussed, including simulating cardiac function in both normal and diseased states. Benchmark tests based on the finite element method will be discussed with examples taken from collaborations with cardiologists. There will also be a discussion of viscoelastic tissues and their modeling, in particular application of fractional viscoelasticity to models of the heart and arteries. A study is presented on the different effects between muscular and elastic arteries during aging. With a focus on biomechanics, machine learning and data-driven modeling are discussed. Attention is devoted to constitutive artificial neural networks. Homogenized constrained mixture theory with restricted mixing is provided. The biomechanics of stomach and brain tissues will also be analyzed. Experimental techniques for the determination of the mechanical properties of tissues, cells, cellular components, and proteins will be described. The area of parameter identification is covered by using full-field optical measurements with the virtual fields method in elasticity.

Future directions for research in physics-informed biomechanics and mechanobiology will be identified during the lectures. This offers significant challenges for the advancement of knowledge of mechanical, biological, electrical effects and fluid-structure interactions.

Lecturers:
Stéphane Avril (Mines Saint-Étienne, France)
Christian Cyron (Hamburg University of Technology, Germany)
Gerhard A. Holzapfel (TU Graz, Austria & NTNU, Norway)
David Nordsletten (University of Michigan, USA)
Ray W. Ogden (University of Glasgow, United Kingdom)
Alfio Quarteroni (Politecnico di Milano, Italy)

Course leader

Gerhard A. Holzapfel and Ray W. Ogden

Target group

The Summer School is addressed to PhD students and postdoctoral researchers in biomedical engineering, biophysics, mechanical and civil engineering, applied mathematics and mechanics, materials science and physiology and more senior scientists and engineers (including some from relevant industries) whose interests are in the area of biomechanics and mechanobiology of proteins cells, soft tissues and organs

Course aim

This is the 11th Summer School on Biomechanics in the series we have organized since 2001. Its aim is to provide a state-of-the-art overview of physics-informed modeling, simulation and experiments on the cardiovascular system, the stomach and brain tissues

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