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) 9926 1300-6 ext. 2293 (secretary), ext. 2380 (direct)


½ Profile ½ Leadership Vision ½ Professional Skills ½ Research ½ Pedagogical ½ Community Outreach ½ Biodata ½ Publications ½


 

Research Synopsis

PDF Version

 

1.

Philosophy

5.

Honors

9.

Training Programs for

2.

Methodology

6.

Goals

 

Future Researchers

3.

Accomplishments

7.

Research Policy

10.

Motivating Programs for

4.

Impact on Technologies

8.

Representative Papers

 

Future Researchers



1. Philosophy

 

To capitalize on the strengths 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 by
converting them into commercial products, services and processes,
which are comfortable, economical, environmentally friendly and
safe.
                                                                                                                



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.
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 profiles) 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 coör-dinates 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, avoiding infinities from the Lorentz and the Poincaré transformations, 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

 

4.1 Aerospace Industry

The new control laws proposed and the guidance schemes developed could be used to design efficient and effective space missions as well as passenger aircrafts, traveling partly in space, in the ballistic orbits. Technological benefits include (but are not limited to):

a)

Reduction in travel time — comfort

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 — economical/environmenally friendly

c)

Reduction in engine noise (most of the flight shall be in the ballistic phase, during which the engines would not be operating) — comfort

d)

Absence of turbulence (most of the flight shall be in the ballistic phase in space) — comfort

e)

Safety (engines would not be required in the ballistic phase, thus reducing the risk of engine failure) — safety

 

 

4.2 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. 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.

                       

4.3 Security Technologies
The multi-level screening system proposed in my paper “
Pattern Recognition using Moiré Fringe Topography and Rasterstereography”, may form the basis of a highly specific, cardless identification system, employing biometric identifiers, which could be used in place of identity cards or passports.


5. Honors

Research-Productivity Allowance awarded by Higher Education Commission (2003), nominated for the King Faisal International Prize in Science (Mathematics) 2010 by University of Karachi, referee of Clinical Biomechanics (published by Elsavier), Proceedings of the Pakistan Academy of Sciences and Journal of Scientific and Industrial Research (published by PCSIR), 61 colloquia, guest lectures, presentations and seminars given. Invited speaker in 4 (3 international; 1 national) conferences, session chair in 3 (2 international; 1 national) conferences, panelist (panel discussion) in the 12th IEEE International Multitopic Conference (2008) as well as chief guest and keynote speaker in the Sindh Educational Conference (2009).


  

6. 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.



7. Research Policy


Research-Project-Evaluation Committee, Dean, Faculty of Sciences, FY 2007-8, Member



8. Representative Papers

Paper titles are hyperlinks to abstracts of papers.

 

8.1 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)

8.2 Security Technologies
Pattern Recognition using Moiré Fringe Topography and Rasterstereography

Kamal SA, Proceedings of the International Symposium on Biometrics and Security Technologies (IEEE ISBAST 2008), Bahria University, Islamabad, Pakistan, 2008, pp 1-7

8.3 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)

Incompleteness of Cross-Product Steering and a Mathematical Formulation of Extended-Cross-Product Steering

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


8.4 Guidance Schemes

The Multi-Stage Lambert Scheme for Steering a Satellite-Launch Vehicle (SLV)

Kamal SA, Proceedings of the Twelfth IEEE International Multitopic Conference (IEEE INMIC 2008), Edited by Anis MK, Khan MK, Zaidi SJH, Bahria University, Karachi, Pakistan, 2008, pp 294-300 (invited paper)

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

The Multi-Stage-Q System and the Inverse-Q System for Possible Application in Satellite-Launch Vehicle

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


8.5 Three-Dimensional-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

 

8.6 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

 

8.7 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

 

8.8 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 6.9 Modeling of the Human Spinal Column

Kamal SA, the Twenty-First International Nathiagali Summer College on Physics and Contemporary Needs, Nathiagali, NWFP, Pakistan, 1996

 

8.9 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


8.10 Sports Sciences and Technologies

Role of Mathematics in the Sports Sciences and Technologies

Kamal SA, the Thirty-Fifth All Pakistan Science Conference, University of Karachi, Karachi, Pakistan, abstract

# 72

 

8.11 Mathematical Physics 

Avoiding Infinities from the Lorentz and the Poincaré Transformations

Kamal SA, the Fourth Symposium on Computational Complexities, Innovations and Solutions, COMSATS Institute of Information Technology, Abbotabad, NWFP, Pakistan, 2009, p 16 (invited paper)

The Sixth Paradigm of 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



9. Training Programs for Future Researchers


Research Methodology I

Graduate Studies Course (for MS/PhD students), Faculty of Sciences, University of Karachi, First Semester 2009
(Course Faculty)

Research Methodology II

Graduate Studies Course (for MPhil/PhD students), Faculty of Sciences, University of Karachi, First Semester 2009
(Course Coördinator)

Technical Aspects of Preparing a Research Proposal

Presentation, Workshop on Preparing Research Proposals, Office of Dean, Faculty of Sciences, University of Karachi, August 16, 2008 (Coördinator of the Workshop)

Research Methodology

Graduate Studies Course (for MPhil/PhD students), Faculty of Arts, University of Karachi, November 21-24, 2007
(Course Faculty)

Research-Proposal Writing

Research Seminar, Department of Mathematics, University of Karachi, February 11, 2006

 

10.  Motivating Program for Future Researchers

The Undergraduate Student Research Participation Program

Students oriented towards research by requiring them to prepare proposals dealing with practical problems, employing mathematical techniques, one student from the Aga Khan University Medical College did his research elective, some students co-authored papers, 1988-present (Program Coördinator)

Research-Proposal Writing           

Lecture in Course on Research Methodology, Masters in Economics and Finance, University of Karachi, April 23, 2009
Talent-Farming Scheme

Summer School for BSc and MSc students, HEC Regional Center, Karachi,
July 12-20, 2004 (Faculty)

The NGDS Student Internships

A subproject of the NGDS Pilot Project

Pre-University Students participate in the ongoing research programs of University of Karachi, 2002-present
(
Program Coördinator)
The Early Talent Research Participation Program
A subproject of the NGDS Pilot Project

High-School Students are introduced to the ongoing research programs of University of Karachi, 2002-present
(
Program Coördinator)

 

                                 

                                              Research Methodology I: MS/PhD Students of
                                                 Faculties of Sciences and Medicine (2009)



Updated: October 1, 2009 (0000h GMT)

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½ Profile ½ Leadership Vision ½ Professional Skills ½ Research ½ Pedagogical ½ Community Outreach ½ Biodata ½ Publications ½


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