Continuum Biomechanics | Faculty of Technical Sciences

Subject: Continuum Biomechanics (17.BMI128)

Native organizations units: Chair of Technical Mechanics

Type of studies	Title
Undergraduate Academic Studies	Biomedical Engineering (Year: 3, Semester: Summer)

General information:

Category	Scientific-professional
Scientific or art field	Deformable Body Mechanics Deformable Body Mechanics
ECTS	5

Enabling students to formulate governing equations in the field of fluid flow, mass and heat transfer, fluid-structure interactions, constitutive axioms describing soft tissues in human body, and use these models in problem posing and problem solving in the framework comprising solid and fluid mechanics, for the purpose of modeling and solving in medical problems.

Ability to derive and solve, analytically or aproximatively governing equations of continuum mechanics describing blood flow and behaviour of blood cells under mechanical loads corresponding to normal and pathological conditions.

Fluidity of blood and air as a basic notion of biology of living systems. The role of blood and air in transport processes of biology. A blood vessel as a solid body. Axioms of continuum mechanics. Stress and strain analysis. The laws of mass, momentum and energy conservation. Viscoelasticity, poroelasticity and thermoelasticity. Rheological properties of blood and soft tisues of cardiovascular system. Fluid flow patterns. Governing equations of blood flow and blood-vessel interaction. Tangential stresses. Pulsatile blood flow. Basic models of hemodynamics. Mechanical role of heart. Energy expenditure and pumping power of the heart. Biomechanical analysis of dynamic pathologies within cardiovascular system. Blood vessel models based on mathematical theory of elastic rods. Models of respiratory and renal systems. Flow and mass transfer within artificial kidney. Compartmental analysis of integer and fractional order. Methods for solving partial differential equations.

Lectures, presentations of real problems, exercises done in up-to-date software packages for symbolic calculations and numerical analysis. Homeworks chosen to check understanding of the introduced both notions and methods. Exam is either classical or given in form of a seminar work where the introduced tools are to be recognized at a chosen paper from leading international journal covering biomedical engineering problems. The latter is to be done through individual work with each student separately. The exam ends with informal talk on introduced notions and methods.

Authors	Title	Year	Publisher	Language
Mair Zamir	Hemo-Dynamics	2016	Springer	English
Clement Kleinstreuer	Biofluid dynamics	2006	Taylor&Francis	English
Jay Humphrey	Cardiovascular solid mechanics	2002	Springer	English
Yuan-Cheng Fung	Biomechanics	1993	Springer	English
Bird, B., Warren E.	Transport phenomena	2002	John Wiley&Sons, New York	English
K Athanasiou & R. Natoli	Introduction to Continuum Biomechanics	2008	Morgan & Claypool	English
J. Keener, J. Sneyd	Mathematical physiology	1998	Springer	English