Professor
Dr. Syed Arif Kamal
Project Director, the NGDS Pilot Project; HEC-Approved PhD Supervisor
Program Coördinator, the Early Talent Research
Participation Program
MS (Indiana, Bloomington, USA); MA (Johns Hopkins, USA); PhD; Member AIAA (USA), IBRO (France)
Member, Expert Panel (Mathematics), National Curriculum Council,
Ministry of Education, Government of Pakistan
Convener, National Curriculum Revision Committee
(Mathematics), Higher Education Commission
Member, Senate, Academic Council, Board of Faculty, Board of Studies;
Ex-Chairman
Professor (BPS-21), Department of Mathematics
UNIVERSITY OF KARACHI
Office: Room No. 6, Department
of Mathematics, University of Karachi, University Road
Paper Mail: University of Karachi, Post Office
Box No. 8406, Karachi 75270 (Pakistan)
Homepage: http://ngds-ku.org/kamal • e-mail: kamal(at the rate of)ngds-ku.org
Telephones: (92 21) 926 1300-6 ext. 2293
(secretary), ext. 2380 (direct)
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½ Profile
½ Leadership
Vision ½ Professional
Skills ½ Research
½ Pedagogical
½ Community
Outreach ½ Biodata
½ Publications
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Research
Synopsis PDF Version
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1. Philosophy
To capitalize on
the strength of mathematics having the power of
generalization and the power of application to formulate and to
propose "smart" solutions, which enhance man's quality of life. life.
2. Methodology
A Nobel laureate
was asked, "What is the key to your success?"
He replied, "I know what I am doing, in depth, and know a little bit
about other disciplines". This strategy of complete knowledge of
the problem at hand and knowledge of the associated fields is to
be applied to bring out efficient, elegant and innovative solutions
to problems challenging the mankind in the third millennium, using
the techniques of mathematics. Modeling of system, environment
and sources of error to be done using mathematical tools,
fine-tuning to be done through simulations and test runs,
followed by validation through field trials.
3. Accomplishments
Mathematical models of the human brain (involving matrices of the
order of 1016 r 1016), which could not
be processed by the fastest supercomputers available in the world), the human
spinal column (presented the idea of treating the spinal column as a
three-dimensional problem, formulated 3-D static and dynamic models), the human
heart (introduced cardiac-coördinate mesh, treated heart
as a system of standing waves), the growth of children (developed methods to
generate detailed growth pro-files) and the planetary orbits (introduced the
elliptic-astrodynamical-coördinate mesh, formulated equation of motion in this
mesh) were developed. 3-D optical imaging and image processing (moiré fringe
topography, rasterstereography) systems were set up and studied to generate 3-D coördinates and
curvatures of a test object. In particular, postures and gaits of children were
studied and procedures devised to simultaneously project moiré and raster grids
on a moving object and decode information about 3-D coördinates and curvatures
through selective optical filtering. In addition, moiré fringe topography was
combined with the edge-based algorithm to study 3-D motion. Normally, the
edge-based algorithm would be able to handle only 2-D motion.
Other important
accomplishments include proposing an identification system employing
dynamic-biometric patterns, defining determinant of a general tensor, proposing
extended symmetries in special relativity, studying behavior of massive
particles near velocity of light, deriving Dirac's relativistic equation
starting from the energy operator in rest frame, formulating control laws (the
extended-cross-product steering, the normal-component-cross-product steering,
the dot-product steering, the normal-component-dot-product steering, the
ellipse-orientation steering), devising guidance schemes (the Lambert scheme
with correction for cross-range error, the inverse-Lambert scheme, the
inverse-Q system, the multi-stage-Q system) and applying concepts of precedence
and influence graphs to clinical medicine. In the area of foundations of
mathematical physics, mathematical formulation of sixth paradigm of physics was
given.
4. Impact on Technologies
Aerospace Industry
The
new control laws proposed and the guidance schemes developed could be used to
design efficient space missions as well as passenger aircrafts, traveling
partly in space, in the ballistic orbits. Technological benefits include (but
are not limited to):
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Reduction in travel time |
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b) |
Reduction in fuel consumption (most of
the flight shall be in the ballistic phase, consuming no fuel), which would
be passed on to customer as reduction in ticket price |
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Reduction in engine noise (most of the
flight shall be in the ballistic phase, during which the engines would not be
operating) |
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Safety (engines would not be required in
the ballistic phase, thus reducing the risk of engine failure) |
Health-Care Industry
The model of growth
of children could predict a boy’s or a girl’s adult height and adult weight as
well as suggest control measures to achieve the desired height and weight at a
tender age. Using the ideas of mathematics and physics, efficient and effective
techniques for determination of height and weight are developed, tested and
implemented as part of the NGDS Pilot Project <http://ngds-ku.org>. 3-D
models of the spinal column have given new dimensions to detection,
documentation, follow up and treatment of scoliosis. Simultaneous recording
using moiré fringe topography and rasterstereography could be used in
kinesiology and biomechanics to assess movement of spine. They could, also, be
used to improve gymnastic performance. Edge-based moiré could be used to
quantify movement of lips with applications in speech analysis.
5. Goals
During
the coming years I would like to continue working in the areas of mathematical
modeling, mathematical physics (devising methods to deal with nonlinear
systems, constructing minkowski-type metric for curved spacetime, generalizing
principle of equivalence) and control theory (formulating new control laws),
with applications in the fields of biomathematics, bioinformatics and
astrodynamics. Further, I would try to establish liaison with local industry,
in order to get adequate funding for the projects and be able to understand
needs of the society we are a part of.
6. Representative Papers
Paper titles are hyperlinks to abstracts of papers.
Space Medicine
EEG in
Weightlessness: A Theoretical Estimate
Ahmed SN, Kamal SA, Siddiqui KA,
Husain SA, Naeem M, Karachi University Journal of Science,
25(1),
1997, 19-24 (corresponding author)
Control Theory
Ellipse-Orientation Steering: A Control Law for Spacecrafts and
Satellite-Launch Vehicles
Kamal SA, Space Science and Challenges of the Twenty-First Century, ISPA- SUPARCO Collaborative Seminar
(in connection with World Space Week), University of Karachi, 2005 (invited
lecture)
Kamal SA, Proceedings of the First International Bhurban Conference on Applied
Sciences and Technologies (IBCAST 2002), Volume 1, Advanced Materials, Computational Fluid Dynamics and
Control Engineering, Edited by Hoorani HR, Munir A, Samar R, Zahir S, National
Center for Physics, Bhurban, NWFP,
Pakistan, pp 167-177
Dot-Product Steering: A New Control Law for
Satellites and Spacecrafts
Kamal SA, Proceedings of the First International
Bhurban Conference on Applied Sciences and Technologies (IBCAST 2002), Volume 1, Advanced Materials,
Computa-tional Fluid Dynamics and Control Engineering, Edited by Hoorani HR, Munir A, Samar R, Zahir S, National
Center for Physics, Bhurban, NWFP,
Pakistan, 2003, pp 178-184
Guidance Schemes
Incorporating Cross-Range Error in the Lambert Scheme
Kamal SA, Proceedings of the Tenth National Aeronautical Conference, Edited by Sheikh SR, Khan AM,
College of Aeronautical Engineering, Pakistan Air Force Academy, Risalpur
(Pakistan), 2006, pp 255-263
Kamal SA, Mirza
A, Proceedings of the Fourth International Bhurban Conference on Applied
Sciences and Technologies (IBCAST 2005), Volume 3, Control and Simula-tion,
Edited by Hussain SI, Munir A, Kayani J, Samar R, Khan MA, National Center for
Physics, Bhurban, NWPP, Pakistan, 2006, pp 27-33
Security Technologies
Pattern Recognition
using Moiré Fringe Topography and Rasterstereography
Kamal SA, International Symposium on Biometrics and Security
Technologies (IEEE ISBAST 2008), Bahria Univer-
sity, Islamabad, Pakistan, 2008, p 14
3-D Optical Imaging and Image Processing
3-D Optical Imaging and Image
Processing (Biomedical Applications)
Kamal SA, Proceedings of the International Workshop on
Recent Advances in Computer Vision,
Edited by Laghari JR, Naqvi AA, Rajput AQ, Sangi NA, Shah MA, SZABIST, Karachi,
Pakistan, 1998, pp 86-95
Combination of
Moiré Contours and Edge-Based Algorithm to Study Motion in the Sagittal Plane
Kamal SA, Karachi University Journal of Science, 24(2), 1996, 53-60
Gait Analysis
Using Moiré Fringe Topography and Rasterstereography (Simultaneous Recording)
Kamal SA, Choudhry AS,
Siddiqui YA, Karachi University Journal
of Science, 24(2),
1996, 7-18
Modeling Growth of
Children
An Investigation of Growth Profiles of the Pakistani Children
Kamal SA, Firdous S, Alam SJ, International Journal of Biology and
Biotechnology, 1(4), 2004, 709-717
Modeling Human Brain
The Covariant-Generalized-Coupling
Model of Global-Electrocortical Activity
Kamal SA, Siddiqui KA, Karachi University Journal of Science,
25(1), 1997, 29-39
Group
Structure of a Covariant Model of Global-Electrocortical Activity
Siddiqui KA, Kamal SA, Husain SA, Khan NU, Karachi University Journal of
Science 21(1&2), 1993, 35-38
Spacetime Representation of
Global-Electrocortical Activity
Kamal SA, Siddiqui KA,
Husain SA, Biological Cybernetics, 60, 1989, 307‑309
Modeling Human Spinal Column
A 3‑D-Static Model of the Human Spinal Column
Kamal SA, Karachi University Journal of Science, 24(1),
1996, 29-34
3‑D-Dynamic
Modeling of the Human Spinal Column
Kamal SA, the Twenty-First International Nathiagali
Summer College on Physics and Contemporary Needs, Nathiagali, NWFP,
Pakistan, 1996
Modeling Human Heart
The Human Heart as a System of Standing Waves
Kamal SA, Siddiqui KA, Karachi
University Journal of Science, 30(1&2),
2002, 55-63
Mathematical Physics
Kamal SA, Siddiqui KA, Naseeruddin, Karachi
University Journal of Science, 28(2), 2000, 11-16
A Dimensionless-Reciprocal Lattice
Kamal SA, Husain SA, Karachi University Journal of Science, 16(1&2),
1988, 23‑27
Determinant of a General Tensor
Kamal SA, Matrix and Tensor Quarterly (UK), 31(3),
1981, 64‑66
½ Profile ½ Leadership
Vision ½ Professional Skills ½ Research ½ Pedagogical ½ Community Outreach ½ Biodata ½ Publications ½ Best viewed with 800 x 600 screen resolution
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Kamal
