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MECHANICS OF BIOLOGICAL SYSTEM Single discipline educational activity
Course Sheet Academic Year of enrolment:
Professor and Collaborators:
Hours of classroom activity:
Objectives
Contents knowledge and understanding of basic criteria of theoretical and computational biomechanical modeling
Extended Syllabus The course is organized in a unique module subdivided into
• Introduction to continuum mechanics in large deformations (10h): generalized kinematics and multiplicative decomposition; derivation of constitutive equations from a thermodynamical potential; hyperelastic materials and non-equilibrium behavior.
• Multi-physics and multi-scale biomechanical models of biological systems (30h): multiphysics formulations (electro-mechanics, thermo-mechanics, plasticity, fracture) via the multiplicative decomposition of the deformation gradient and the additive decomposition of the energy potential; homogenized multiscale modeling of cells, tissues and organs (collagen fibers, muscular fibers); statistical description of biomechanical properties of soft tissues though averaged structure tensors; state-of-the-art of mechanobiology and future challenges.
• Solution methods of biomechanical models of biological systems (20h): reconstruction and discretization of physical domains from biomedical images; variational formulation and implementation of finite elements solvers.
Recommended Bibliography 1) Nonlinear Solid Mechanics: A Continuum Approach for Engineering, G.A. Holzapfel, ISBN: 978-0-471-82319-3, 2000.
2) Nonlinear Theory of Elasticity: Applications in Biomechanics, L.A. Taber ISBN-10: 9812387358
3) An Introduction to Biomechanics: Solids and Fluids, Analysis and Design, J.D. Humphrey ISBN-10: 1493926225
Dispense da parte del docente.
Presentazioni da parte del docente e da parte di esperti internazionali.
Methods of Provision
Teaching Methods Oral teaching and writing excercise
Evaluation methods Verification of learning:
Knowledge and skills acquired during the course will be evaluated through a practical project, developed during the course itself, and via an oral test at the end of the course.
Students will be evaluated into the application of the notions learned during the course and the development of arguments in a critical manner such to test their autonomy of judgment.
Contacts/More Information Knowledge and understanding. The course will provide the necessary elements to understand the theoretical-scientific foundations of biomechanical modeling of biological materials and systems from the micro- to the macro-scale, with specific attention to the biomedical applications.
Applying knowledge and understanding. The students will acquire the required knowledge to understand scientific treatises and their transposition into biomechanical mathematical models in view of the numerical simulations of physiological and pathological behaviors of tissues, organs, and biological systems, in general. Thanks to innovative teaching methodologies, the students will learn how to introduce a theme to the whole class developing skills of rational thinking at the basis of the building of biomechanical models.
Making judgements. Students will be conducted to develop their own analytical and critical skills, learning the required knowledge for the evaluation of biomechanical models in biomedical applications.
Communication skills. At the end of the course, the students will develop communicative skills such as setting up a dialog with international experts in biomechanical research by using scientific jargon.
Learning skills. Students will be able to retrieve information from the specific scientific literature and will be able to build up biomechanical models of biological systems.