THREE-DIMENSIONAL MODELING
Course objectives
Knowledge of the fundamentals of continuum mechanics and of the basic equations of fluid mechanics; their application to emodynamics
Channel 1
ALBERTO GIACOMELLO
Lecturers' profile
Program - Frequency - Exams
Course program
Short recapitulation of calculus applied to biomechanics
Fluid dynamics of the circulatory system; Statics of fluids: hydrostatic pressure; Mechanical balance, application to centrifuges and ultra-centrifuges.
Equations of mass conservation, application to blood vessels (stenosis and aneurisms).
Equation of momentum conservation, Poiseuille and Hagen-Poiseuille flows, blood vessel bifurcations.
Reynolds transport theorem, Navier-Stokes equations; Dimensionless numbers (Reynolds and Womersley numbers and flows in blood vessels).
Bernoulli's equation. Stress on the walls of blood vessels; effect of the geometry and elasticity of vessels; fundamentals of blood rheology.
Mechanics and fluid dynamics of cardiovascular devices.
Fluid dynamics of the respiratory system and of some of its pathologies.
Introduction to tribology applied to biomechanics.
Overview of micro- and nanotechnologies for medical biotechnologies.
Prerequisites
Basic knowledge of calculus. Supplementary classes will be delivered at the beginning of the course to review these topics.
Books
Notes and slides provided by the teacher
Teaching mode
Lectures; final group project with presentation
Frequency
compulsory
Exam mode
Oral exam with the objective of assessing the knowledge of the topics covered during the course. Weight: ca. 40% of the final score.
Presentation of a group project analysing a recent research of interest for biofluiddynamics; this part of the exam weighs ca. 60% of the final score and its objective is to assess the capacity to work in a team and to independently apply and communicate the knowledge acquired during the course.
Bibliography
Fung, Y. C. (2013). Biomechanics: circulation. Springer Science & Business Media.
Kundu, P. K., Cohen, I. M., & Dowling, D. R. (2012). Fluid Mechanics, V edition. Academic Press
Caro, C. G., Pedley, T.J., Schroter, R.C., & Seed, W.A. (2012). The mechanics of the circulation. Cambridge University Press
G.R. Barani, M.F. Kiani, S.P. Samuel, “Healthcare and Biomedical Technology in the 21st Century”, Springer 2014
“Basic biomechanics of the musculoskeletal system”, Edited by M. Nordin, V.H. Frankel; Wolters Kluwer, 4th ed., Ch. 3 “Biomechanics of Articular Cartilage"
Mow, V.C., Ateshian, G.A. (1997). Lubrication and wear of diarthrodial joints. In V.C. Mow, W.C. Hayes (Eds.). Basic Biomechanics (2nd ed.). Philadelphia: Lippincott–Raven
Publishers, 275–315.
Lesson mode
Lectures; final group project with presentation
- Academic year2025/2026
- CourseMedical Biotechnology
- CurriculumBioingegneristico
- Year2nd year
- Semester1st semester
- SSDING-IND/06
- CFU4