336305 – Blood Circulation

Course Objectives and Targets

  • This course discusses cardiovascular fluid mechanics (also known as hemodynamics) and its relation and application to cardiovascular disease, vascular implants as well as computational and measurement techniques in the cardiovascular system.
  • The course focuses on blood rheology, steady and unsteady flow models in the arterial circulation, and fluid mechanics through native heart valves.
  • The course aims to delineate the relationship between fluid mechanics and the development of arterial diseases in the coronary, carotid, and ileo-femoral arteries.
  • Analytical tools from fluid dynamics will be used to evaluate the design of circulatory implants such as artificial heart valves, stents, and vascular grafts.
  • Moreover, the course discusses design requirements for the development of an ideal artificial valve, including a discussion of the currently available mechanical and bioprosthetic valves.
  • Next, a description of common fluid mechanical measurements used for diagnosing arterial and valvular diseases will be introduced.
  • Finally, a basic introduction to computational fluid dynamic (CFD) analysis of the human circulation will be taught, reflecting the rapidly increasing use of computational simulations in research and clinical arenas.

Specific objectives

  • To teach students to analyze the cardiovascular tree as an engineered system.
  • To teach students the application of fluid mechanics in understanding arterial flows.
  • To introduce students to the relationship between blood flows and disease, and the use of derived clinical indices to monitor disease state and cardiovascular risk.
  • To introduce students to the design of cardiovascular.
  • To introduce computational fluid dynamics (CFD) methods to simulate blood flows.


The course is aimed at advanced Bachelor students (e.g. 4th year) and graduate students, with prior exposure to introductory fluid mechanics and calculus (e.g. partial differential equations).

Prior exposure to a physiology course is suggested but not mandatory. 104014 Differential and integral calculus 2t (or similar)104135 Ordinary differential equations/t (or similar)334009 Biological Fluid Mechanics (or equivalent course from another department: e.g. 084303, 084311, 034013, 056389,014211,016206

recommended (not mandatory): 276011 Body Systems physiology for engineers (or similar)

 Student Evaluation Participation

– 10%  Students are expected to come to the class. A sign-in sheet will be provided each week. Homeworks

– 20%  Two problem sets will be given throughout the first half of the course and students will have two weeks to complete and return it.

– 70% Final Project.  A design project using computational fluid dynamics (CFD) with the software COMSOL will be detailed relating flows in blood vessels and the effect of placing vascular grafts or stents.

 Contact Hours per week

Lecture: 2 Hours  Mondays from 13:30 to 15:30- Ullman 213

Credit: 2.0