A crash course in geometric mechanics (original) (raw)

Geometry and Mechanics

2008

Cardiovascular disease is the number one killer of men and women in the US and is the primary cause of congestive heart failure (CHF), which afflicts over 4.7 million Americans. There are 550,000 new cases of CHF reported annually. Cardiovascular disease produces a number of physiological changes to the tissues of the cardiovascular system (e.g., loss of elasticity of the arteries as in arteriosclerosis, ischemic damage and cardiomyopathies). These change the hemodynamics of the cardiovascular system with potentially disastrous consequences. The geometric and physical complexity of the human cardiovascular system and the limited possibility to perform experiments and measurement opened doors for computational analysis of vascular blood flow with the purpose of designing predictive tools for treatment planning or evaluation of assist devices for individual patients. The concept of patient-specific cardiovascular modeling was first established in Taylor et al. [1], where real-life geometries were used to simulate blood flow. In the last decade, the computational technology has experienced further advances, which includes simulating more complicated geometries corresponding to larger and larger portions of the cardiovascular system, accounting for arterial wall elasticity, heart valves, and growth and remodeling of arterial tissue.

PHYSICS. Brief course. MECHANICS

This book gives brief but thorough enough materials on “Kinematics”, “Dynamics” and “Relativistic mechanics” of “General physics” course. It is prepared by the department of theoretical and experimental physics of Tomsk polytechnic university. This textbook intended for the students of all science disciplines of technical universities.

6TH National Congress of Mechanics. Book of Abstracts

2001

Special thanks to A. Kounadis and D. Beskos, president and secretary of HSTAM respectively, as well as to G. Manolis and D. Talaslidis who served as vice-chairmen of the organizing committee. The Congress is dedicated to the memory of P. Theocaris whose influence on the Mechanics Community of Greece will remain for many years. My predecessor G. Lianis and A. Armenakas served as honorary chairmen of the Congress. My thanks go to them, as well as to the rest of the members of the organizing committees. The Congress was organized during a very interesting period of substantial activity in the educational and scientific community in Greece. More than two months before the Congress, the University administration, at first, and the undergraduate student body as a whole, later, opposed certain educational proposals passed by the State, and daily university activities came to a standstill. This had a serious impact on the conference organization including the disruption of usual e-mail correspondence. It was the determination of my graduate students G. Efremidis and P. Sapalidis, the help of E Akintayo, K. Kosmidis, K. Kalaitzidou/S. Manas (currently at MTU/USA), the assistance of undergraduate students Th. Atmakidis andD. Dodou, as well as the encouragement of A. Kounadis, which helped me decide not to postpone the meeting. Special thanks go to George Efremidis who took upon himself the responsibility of completing the process of collecting the manuscripts, coordinating the e-mail correspondence, and other organizational details. My colleagues D. Beskos and G. Manolis were always available for consultation and advice. Many faculty of the General Department including its past and newly elected Chairman, as well as the Dean of Engineering were very supportive of this event. The active participation of the travel agency Aethra, the publisher Giahoudi-Giapouli and the personal involvement of the owner of Philippion Hotel Helena Thoidou, who took the initiative to help with respective arrangements without requiring pre-payment, is worth mentioning. The financial support of the General Department,