Dr. Rachad Shoucri

R. Shoucri
Dr. Rachad Shoucri
Girouard building, room 318
(613) 541-6000 ext 6069
(613) 541-6584
Department of Mathematics and Computer Science
Royal Military College of Canada
PO Box 17000, Station Forces
Kingston, Ontario, CANADA
K7K 7B4

Research Interests

  • Mathematical Physiology, Medical Physics and Engineering

Selected Publications

Publications in Mathematical Physiology

Papers published in refereed journals

  • R.M. Shoucri, Exact Calculation of the Field due to a Single Fresnel Zone by use of the Maggi Rubinowic contour integral, J.Opt.Soc.Am. 59, 1158 1162 (1969).
  • R.M. Shoucri, Die Randwelle in Der Beugunstheorie Optik, 31, 315 318 (l970).
  • R.M. Shoucri and B.T. Darling, Four Center Expansion for the H3++ , J.Chem. Phys., 56: 1189 1190 (1972).
  • B.T. Darling and R.M. Shoucri, Exact Coupled set of Ordinary Differential Equations for the Three Body Problem, Phys. Rev. A 12, 2264 2270 (1975).
  • R.M. Shoucri and B.T. Darling, Numerical Differentiation Approach for the Three Body Problem, Phys. Rev. A 12, 2272 2280 (1975).
  • R.M. Shoucri and C. Paquet, Fresnel Zones Calculation II, Appl. Opt. 15, 1210 1211, 1976.
  • R.M. Shoucri, M. Pouliot and C. Paquet, Critical evaluation of the logit log plot for the Radio Assay of Vitamin B12. Clin. Biochem. 9, 203 207 (1976).
  • R.M. Shoucri and M. Pouliot, Observations on the Kinetics of the Jaffe reaction for Creatinine, Clin. Chem. 23, 1527 1530 (1977).
  • P. Leblond and R. Shoucri, Evaluation of Surface and Volume of Human Erythrocites Blood, J. Micros. 113, 161 170 (1978).
  • R.M. Shoucri and J.G. Dumesnil, The Dynamics of the ventricular wall and some onbservations on blood flow. Biophys. J. 23, 233 245 (1978).
  • J.G. Dumesnil, R.M. Shoucri, J.L. Laurenceau, J. Turcot, A mathematical model of the dynamic geometry of the intact left ventricle and its application to clinical data, Circulation, 59, 1024 1034 (1979).
  • R.M. Shoucri, Note on the way to quantify the pump function of the, heart Circ. Res. 46, 301 307, (1980).
  • R.M. Shoucri, Contractile analysis and kinetic energy of the myocardium, Bull. Math. Biol. 43, 447 461 (1981).
  • J.G. Dumesnil, R.M. Shoucri, The effect of the geometry of the left ventricle on the Calculation of the ejection fraction, Circ. 65, 91 98 (1982).
  • R.M. Shoucri, J.G. Dumesnil, J. Rouleau, G.R. Dagenais, Some applications of the concept of body forces for the myocardium, Bull. Math. Biol. 44 (6), 819 840 (1982).
  • J.G. Dumesnil, R.M. Shoucri, Left ventricular function, Proc. Mayo Clinic 57, 61 66 (1982).
  • J.G. Dumesnil, J.L. Laurenceau, R.M. Shoucri, Evaluation de la fonction du ventricule gauche hypertrophié par échocardiographie, Arch. Mal. Coeur, 75 (10), 1149 1158 (1982).
  • M.M. Shoucri, R.M. Shoucri, The application of shape preserving splines for the solution of differential equations Int. J. Num. Math. Eng. 20, 689 695 (1984).
  • R.M. Shoucri, R. Benesch, S. Thomas, Note on the Determination of a Digital Straight Line from Chain Codes, a (Computer Vision, Graphics and Image Proc. 29, 133 139 (1985).
  • R. Shoucri, R. Benesch, Note on adaptive estimation for tracking, control and computers 14, 114 115 (1986).
  • R. Shoucri, R. Benesch, Note on the computation of digital filter coefficients (Simulation) 48, 103 105 (1987).
  • R. Shoucri, R. Benesch, Piecewise continuous quadratic interpolation (Advances in Egn. Software) 9, 56 57 (1987).
  • R.M. Shoucri, A mathematical derivation of the P V relation at end systole, Bull. Math. Biol., 50, 35 41 (1988).
  • R.M. Shoucri, The active pressure of the myocardium, Proc. 15 Canad. Med. Biol. Eng. Conf., p 139 140 (1989).
  • R.M. Shoucri, A Method to Calculate the Work of the Myocardium, Proc. 16 Canad. Med. Biol. Eng. Conf., p. 53 54 (1990).
  • R.M. Shoucri, J. Kingma, J. Rouleau, J. Dumesnil, G. Dagenais, Some Applications of the P V relation to study the performance of the left ventricle, Bull. Math. Biol. 51, 475 484 (1989).
  • R.M. Shoucri, J. Dumesnil, Contribution to the theoretical study of the doppler half time method, J. Biomed. Eng. 12, 79 84 (1990).
  • R.M. Shoucri, Some Applications for P V Relations to study left Ventricular performance, J. Biomed. Eng., 12, 482 488 (1990).
  • R.M. Shoucri, The Pressure Volume Relation and the Mechanics of Left Ventricular Contraction, Jap. Heart J. 31, 713 729 (1990).
  • R.M. Shoucri, Theoretical Study of Pressure Volume Relation in Left Ventricle, Am. J. Physiol. 260, H281 H291 (1991).
  • J.G. Dumesnil, and R.M. Shoucri, Quantitative Relationships Between Left Ventricular Ejection and Wall Thickening and Geometry, J. Appl. Physiol. 70, 48 54 (1991).
  • R.M. Shoucri, A Comparison Between Large Elastic Deformation and Linear Elasticity Applied to the Myocardium, Proc. 17, Cand. Med. Biol. Eng. Conf., Banff, Alberta, pp. 141 142 (1991).
  • R.M. Shoucri, The P V Relation in the Left Ventricle and the Pump Function of the Heart, Annals Biomed. Eng. 19, 699 721 (1991).
  • R.M. Shoucri, The Pump Function of the Heart as an Optimal Control Problem, J. Biomed. Eng. 13, 384 390 (1991).
  • R.M. Shoucri, Non linear P V Relation in Left Ventricle, Jap. Heart J. 32, 337 346 (1991).
  • R.M. Shoucri, The End-systolic Pressure-Volume Relation in the Right Ventricle, J. Biomed. Eng., 15, 167-169 (1993).
  • R.M. Shoucri, Theoretischer Beitrag zur Untersuchung der Druck- Volumen-Beziehung im Linken Ventrickel, Herz/Kreislauf, 25, 150 153 (1993).
  • R.M. Shoucri, Theoretical Study Related to Left Ventricular Energetics, Jap. Heart J. 34, 403-417 (1993).
  • R.M. Shoucri, Clinical Application of End-Systolic P-V Relation, Ann. Biomed. Eng. 22, 212-217 (1994).
  • R.M. Shoucri, Possible Clinical Application of the External Work Reserve of the Myocardium, Jap. Heart J. 35, 771-787 (1994).
  • R.M. Shoucri, Contribution théorique à l'étude de la relation pression-volume dans le ventricule gauche cardiaque, Inv. Tech. Biol. Med. 16, 161-172 (1995).
  • R.M. Shoucri, Coherent States, Schrödinger Equation, and the Hamilton-Jacobi Equation, Can. J. Phys. 73, 478-483 (1995).
  • R.M. Shoucri, Elliptical Orbit With Variable Angular Momentum, J. Guid. Cont. Dyn. 18, 1213-1215 (1995).
  • R.M. Shoucri, Note on Kepler's Problem with Variable Angular Momentum, Celest. Mech. Dyn. Astron. 63, 199-203 (1996).
  • R.M. Shoucri, Constant Keplerian Orbit with Non-Central Force Field, Int. J. Engng. Educ. 12, 305-308 (1996).
  • R.M. Shoucri, Elliptical Orbit with Non-Central Force Field in Celestial Mechanics, Celest. Mech. Dyn. Astron. 65, 373-388 (1997)
  • R.M. Shoucri, The Ventriculo-Arterial Coupling and the Areas under the End-Systolic Pressure-Volume Relation, Jap. Heart J. 38, 253-262 (1997).
  • R.M. Shoucri, Studying the mechanics of left ventricular contractions. IEEE Eng. in Med. & Biol., 17,(1998) 95-101.
  • J.D.A. Bourne, R.M. Shoucri. Application of Gaussian filters to edge detection in M-mode echocardiograms. Analysis of Biomedical Signals and Images, Proceedings of the 14th Biennial International Conference Biosignal 98, p. 38-40 (Brno, Czech Republic, 23-25 June 1998).
  • R.M. Shoucri. The active force of the myocardium and the pressure-volume relation in the left ventricle. Joint Meeting, 19th Congress of the European Society for Non-invasive Cardiovascular Dynamics, 13th Congress of the Cardiovascular System Dynamics Society (Gent, Belgium, 27-30 Aug 1998). Abstract, J. Cardiovasc. Diag. Proceed. p. 151 (Aug 1998).
  • R.M. Shoucri. Quadratic spline interpolation as an optimal control problem. Conference on Computational Physics CCP 1998 (Granada, Spain, 2-5 September 1998).
  • R.M. Shoucri, J. Katsaras. Reactivation of the division of medical and biological physics of the Canadian Association of Physicists, 54 (3), 5-6 (May/June 1998) (not refereed).
  • R.M. Shoucri. The Physics of Cardiac Contraction (CAP Congress 1999), Phys. in Can. 55 (3), 52 (May/June 1999), Erratum 55 (4), 124 (July/Aug 1999)
  • R. M. Shoucri, The physics of the cardiovascular system, Phys. in Can., 17-20, (Jan 2000).
  • R.M. Shoucri. The physical meaning of the contour wave in diffraction theory, Can. J. Phys. 78, 17-20 (2000).
  • R.M. Shoucri. Active and passive stresses in the myocardium, Am. J. Physiol. vol. 279, H2519-H2528 (2000).
  • R.M. Shoucri. Closed-Form Solution of Line-of-Sight Trajectory for Maneuvering Target. J. Guid. Cont. Dyn, 24, 408-409 (2001).
  • R.M. Shoucri. The Importance of the Active Force of the Myocardium in the Study of the P-V Relation, P-V Loops International Congress in Ventricular Functions and Failure from Mice to Man, Maastricht, The Netherlands, 17-19 Jan (2002) p. 120.
  • R.M. Shoucri. The Calculation of the Intramyocardial Stress, Tech. and Health Care 10, 11-22 (2002).
  • R.M. Shoucri. Clinical Application of the ESPVR, Tech Med 2002, The University of Western Ontario, 26-27 Sep 2002.
  • R.M. Shoucri. Some clinical applications of the mathematical modeling of the fibers force in the myocardium as force per unit volume, XV Congress Cardiovascular System Dynamics Society (CSDS), p. 60, 13-16 Oct 2002, Sendai, Japan.
  • R.M. Shoucri. A Mathematical Model for the Contraction of the Myocardium, 2nd European Medical and Biological Engineering Conference EMBEC 02, IFMBE Proceedings, vol. 1, p. 622-623, 4-8 Dec 2002, Vienna, Austria.
  • R.M. Shoucri. Non-Linearity of the PRSW Relation, Cardiovas. Eng. 4, 273-279 (2004).
  • R.M. Shoucri. Clinical application of the end-systolic pressure-volume relation computer methods in Biomechanics and Biomedical Engineering, vol 8, Supplement 1, p. 253-254 (2005). (30th Congress of the Société de Biomécanique, Brussels, Belgium, 14-16 Sept. 2005)

Book chapters:

  • R.M. Shoucri, The Active Force of the Myocardium, in Computer Simulations in Biomedicine, p. 19-26, H. Power - R.T. Hart Editors (Computational Mathematics Publications, Southampton, Boston, (1995).
  • R.M. Shoucri, The Areas under ESPVR and the Ventriculo-Arterial Coupling, in Simulations in Biomedicine IV, p. 47-56, edited by Power, C.A. Brebbia, J. Kenny. (Computational mechanics Publications, Southampton, Boston 1997).
  • R.M. Shoucri. The intramyocardial stress and the mechanics of the left ventricular contraction, Simulations in Biomedicine V, p. 177-187, editors Z.M. Arnez, C.A. Brebbia, F. Solina, V. Stankouski, Biomedicine 2003, 2-4 April 2003, Ljubljana, Slovenia (WIT press 2003).
  • R.M. Shoucri. The relation between stroke work and end-diastolic volume in the ventricles, in Modelling in Medicine and Biology VI, p. 123-131, (editors: M. Ursino, C.A. Brebbia, G. Pontrelli, E. Mazosso) WIT Press, Southampton, Boston, 2005.
  • S. Mihailescu and R.M. Shoucri. Measurement and calculation of the intramyocardial stress, in Modellling in Medicine and Biology VI, p. 161-169 (editors: M.Ursino, C.A. Brebbia, G. Pontrelli, E. Mazosso) WIT press, Southampton, Boston, 2005.

Papers presented and invited lectures

  • B. Darling and R.M. Shoucri, Interaction à trois corps à l'état lié. Une nouvelle approche. Presented at the International Conference on Few Body Problems in Nuclear and Particle Physics, Québec, Canada, August 1974.
  • R.M. Shoucri and M. Pouliot, Critical Study of the Kinetic termination of Creatinine in Sera. Presented at the IVth International Conference on Medical Physics, Ottawa, July 1976.
  • R.M. Shoucri and C. Paquet, The Contour Integral for Calculating Amplitude diffracted from a Zone Plate. Presented at the IVth International Conference on Medical Physics, Ottawa, July 1976.
  • P. Leblond and R.M. Shoucri, Calculation of Surface area and Volume of human Erythrocites from Scanning Electron Micrographs. Presented at the IVth International Conference on Medical Physics, Ottawa, July 1976.
  • M. Pouliot and R.M. Shoucri, Adaptation du dosage Enzymologique de l'hormone HPL en analyse centrifuge, presented at the "Journée d'Analyse Centrifuge en biologie clinique", Strasbourg, France, October 1976.
  • J.G. Dumesnil, R.M. Shoucri, J. Rouleau, G. Dagenais, The relevance of the mid wall radius to wall thickness ratio on the ejection fraction of the left ventricle, presented at the meeting of the Canadian Society for Clinical Inves., September 1981, Toronto.
  • R. Benesch and R.M. Shoucri, A Simple Proof of the addition theorem for Legendre Polynomials, 62nd Ontario Mathematics Meeting and 17e Colloque des mathématiciens du Québec, Kingston, Ontario, April 1982.

Publications in history:

  • R.M. Shoucri, Vers une nouvelle optique du christianisme égyptien. Presented at theLaboratoire d'étude religieuse de l'Université Laval, published in Le Monde 1, 47-59 (1976).
  • R.M. Shoucri, Le Miracle Egyptien I. Le Monde Copte, 4, 48-56 (1977).
  • R.M. Shoucri, Le Miracle Egyptien II. Le Monde Copte, 5, 50-57 (1978).
  • R.M. Shoucri, Il faut faire revivre la pensée philosophique de l'Egypte antique. Le Monde Copte, 6, 52-57 (1979).
  • R.M. Shoucri, From the Hieroglyphs to the Cross. Egyptian Philosophy and Christian Gnosis, presented at the Third International Congress of Egyptology, Toronto (Sep 1982).
  • R.M. Shoucri, L'Egypte antique et chrétienne vue par les chercheurs de l'Occident. Préjugés et Malentendus. Actes du 4e Congrès Copte, 178-184, Louvain-La-Neuve, Belgique, (5-10
  • R.M. Shoucri, La Babylone d'Egypte et la première épître de l'apôtre Pierre, Le Monde Copte17, 9-11 (1990).
  • R.M. Shoucri, Babylon of Egypt and the first Epistle of the Apostle Peter, Coptologia 11, 103-106 (1990).
  • R.M. Shoucri, Ephesus II and Chalcedon from a Coptic perspective, Acts of the 55h International Congress of Coptic Studies, 427-441, vol. 2, Catholic University, Washington D.C. (1992).
  • R.M. Shoucri, Greco-Egyptian Philosophy, Symposium on Ancient and Medieval Philosophy, Institute of Global Cultural Studies, Binghamton University, SUNY (October 1993).
  • R.M. Shoucri, Plato at Heliopolis of Egypt. A critical view at the relation between Egyptian philosophy, Greek philosophy, and Alexandrian theology, Acts of the 6th International Congress of Coptic Studies, Westfälische Wilhelms-Universität, Münster, Deutschland, July 1996. (accepted).
  • R.M. Shoucri, Ancient Egyptian Philosophy and Hermetic Tradition, Coptologia 17, 117-142 (2001).
  • R.M. Shoucri, Néo-plotinisme ou néo-platonisme? L'aspect égyptien de la philosophie alexandrine. (8th International Congress of Coptology, Paris, June 28-July 3, 2004.)
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