Reference Material
The following are resources, organized by topic, for Frank’s lectures on the human heart and geometry.
Introduction
Buckberg GD, Weisfeldt ML, Ballester M. Left ventricular form and function: Scientific priorities and strategic planning for development of new views of disease. Circulation. 2004;110:e333-e336 (e333 and e335) — FUNCTION — IMAGING TECHNOLOGY
1) Heart Orientation Axis at Root Three in a Cube
Lawlor R. (1998). Sacred Geometry. (p. 32) — CUBE
2) Tetrahedron Inscribed in a Cube
Cromwell P. (1999). Polyhedra. (p. 360) — CUBE — TETRAHEDRON
3) Prolate Geometry
Cromwell P. (1999). Polyhedra. (p.154) — TETRAHEDRON AND PROLATE
Vigmond E, Vadakkumpadan F, Gurev V, Arevalo H, Deo M, Plank G, Trayanova, N. Towards predictive moldering of the electrophysiology of the heart. The Physiological Society. 2009. — PROLATE HEART MODEL
LeGrice IJ, Hunter PJ, Smaill BH. Laminar structure of the heart: a mathematical model. Am J. Physiol. 272 (heart Circ. Physiol. 41): H2466-H2476, 1997 — PROLATE HEART MODEL
4) Minimal Surfaces
From http://www.en.wikipedia.org/wiki/minimal_surface — MINIMAL SURFACE
5) Vortex Suction, MVO-Dissociation, Twisting and Rapid Filling
Rademakers FE, Buchalter MB, Rogers WJ, Zerhouni EA, Weisfeldt ML, Weiss JL, Shapiro EP. Dissociation between left ventricular untwisting and filling: Accentuation by catecholamines. Circulation 1992;85:1572-1581 (p. 1579, 1580) — MVO*, (p. 1575, 1579) — MVO* — SUCTION
Popescu BA, Beladan CC, Calin A, Muraru D, Deleanu D, Rosca M, Ginghina C. Left ventricular remodeling and torsional dynamics in dilated cardiomyopathy: reversed apical rotation as a marker of disease severity. European Journal of Heart Failure 2009; Volume 11:Issue 10:945-951 (p. 5) — FILLING
Yotti R, Bermejo J, Antoranz C, Desco MM, Cortina C. A noninvasive method of assessing impaired diastolic suction in patients with dilated cardiomyopathy. Circulation. 2005;112:2921-2929. (p. 2) — DCM*
Ballester-Rodes M, Flotats A, Torrent-Guasp F, Carrio-Gasset I, Ballester-Alomar M, Carreras F, Ferreira A, Narula J. The sequence of regional ventricular motion. Eur J Cardiothorac Surg 2006;29:139-144 (p. S141) — VENTRICULAR MECHANICS — MVO*
Coghlan C, Hoffman J. Leonardo da Vinci’s flights of the mind must continue: cardiac architecture and the fundamental relation of form and function revisited. Eur J Cardiothorac Surg 2006;29:S4-S17 (p. 9 & 14) — MVO* — LOOPING
Torrent-Guasp F, Ballester M, Buckberg GD, Carreras F, Flotats A. Spatial orientation of the ventricular muscle band: Physiologic contribution and surgical implications. J Thoracic Cardiovasc surg 2001;122:389-392 (p. 4) — BASAL LOOPING
Carlhäll CJ, Bolger A. Advances in heart failure. Circulation: Heart Failure 2010;3:326-331. from http://circheartfailure.ahajournals.org/content/3/2/326.full — BASAL CHAMBER VORTICES
Gouaillard A, Gelas A, Valette S, Boix E, Kanai T, Prost R. Remeshing algorithm for multiresolution prior model in segmentation. from: http://www.creatis.insa-lyon.fr/~valette/pub/GGVBKP04ICIP.pdf — VENTRICLE MODEL
Parker KH. Notes for cardiovascular measurements. Retrieved November 23, 2007, from http://www.bg.ic.ac.uk/research/k.parker/homepage/BSc_lectures/2002/_Lecture_1_2002.html. — MR IMAGES OF VORTEX IN AORTA
6) Diagnostic Heart Failure
Carlhäll CJ, Bolger A. Advances in heart failure. Circulation: Heart Failure 2010;3:326-331. from http://circheartfailure.ahajournals.org/content/3/2/326.full
Coghlan C, Hoffman J. Leonardo da Vinci’s flights of the mind must continue: cardiac architecture and the fundamental relation of form and function revisited. Eur J Cardiothorac Surg 2006;29:S4-S17 (p. 12) — CARDIAC ARCHITECTURE
Popescu BA, Beladan CC, Calin A, Muraru D, Deleanu D, Rosca M, Ginghina C. Left ventricular remodeling and torsional dynamics in dilated cardiomyopathy: reversed apical rotation as a marker of disease severity. European Journal of Heart Failure 2009; Volume 11:Issue 10:945-951. — MYOFIBER — DMC*
Athanasuleas CL, Buckberg GD, Stanley AWH, Siler W, Dor V, Menicanti L. Surgical ventricular restoration in the treatment of congestive heart failure due to post-infarction ventricular dilation. J Am Coll Cardiol. 2004;44:1439-1445, doi:10.1016/j.jacc.2004.07.017 (p. 1-5 and 17) — CHF* — VENTRICULAR FORM
Yotti R, Bermejo J, Antoranz C, Desco MM, Cortina C. A noninvasive method of assessing impaired diastolic suction in patients with dilated cardiomyopathy. Circulation. 2005;112:2921-2929. (p. 10) — FILLING — DCM*
7) Myofiber Architecture and Apex Looping
Ballester-Rodes M, Flotats A, Torrent-Guasp F, Carrio-Gasset I, Ballester-Alomar M, Carreras F, Ferreira A, Narula J. The sequence of regional ventricular motion. Eur J Cardiothorac Surg 2006;29:139-144. (p. S141) — LOOPING
Torrent-Guasp F, Ballester M, Buckberg GD, Carreras F, Flotats A. Spatial orientation of the ventricular muscle band: Physiologic contribution and surgical implications. J Thoracic Cardiovasc surg 2001;122:389-392 (p. 4) — MYOFIBER
Ballester-Rodes M, Flotats A, Torrent-Guasp F, Carrio-Gasset I, Ballester-Alomar M, Carreras F, Ferreira A, Narula J. The sequence of regional ventricular motion. Eur J Cardiothorac Surg 2006;29:139-144 (p. 9) — MYOFIBER
Sengupta PP, Krishnamoorthy VK, Korinek J, Narula J, Vannan MA, Lester SJ, Tajik JA, Seward JB, Khandheria BK, Belohlavek M. Left ventricular form and function revisited: Applied translational science to cardiovascular ultrasound imaging. J Am Soc Echocardiogr. 2007 May; 20(5):539-551 (p. 1 and2) — MYOFIBER
8) First, Second and Three Dimensional Heart Geometry
Brettschneider H. The polarity of center and periphery in the circulatory system. In Holdrege, C. (Ed), The Dynamic Heart and Circulation. 2002. (p. 31)
9) Right Ventricle Vortex Research
10) Left Ventricle Vortex Research
CHF* – CONGESTIVE HEART FAILURE
DCM* – DILATED CARDIOMYOPATHY
MVO* – MITRAL VALVE OPENING