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International Symposium on Mathematical Modeling in Engineering & Biosciences was organized by the Department of Mathematics, Yagyavalkya Institute of Technology, Sitapura, Jaipur on 13th January, 2008.
Inauguration ceremony started by the address of Chief Guest Shri S.P. Goel, Chairman, YIT. He emphasized that the logical analysis of all problems are based on the concept of models and model building. Models facilitate the determination of how changes in one or more aspect will affect other aspects or the whole entity without imposing changes in the modeled entity. Prof. P.S. Gahlot, Director General, YIT expressed his views on the 1st International Seminar in YIT. He highlighted the importance of this seminar to engineers. Every good engineer is a mathematician first. He also suggested to go for quality education and said that this seminar would definitely improve our quality. Prof. Harald E. Krogstad, Norway University speaking as a guest of honour, expressed his views on his visit to India for the first time.
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Prof. Vinod P. Saxena, Principal, YIT and President Organizing Committee of International Conference spoke about the role of mathematics in context of scientific advancement the world has been witnessing, particularly in the past few decades. Engineers and researches today relay on mathematical modeling to design real life systems and other scientific applications. One of the main benefit of mathematical modeling is that it is able to provide users with practical feedback when designing real systems. This allow the researchers to determine the correctness and efficiency of a design before the system is actually constructed. Consequently, the user may explore the merits of alternative designs without actually physical building the systems. Another benefit of modeling is that it permits system designers to study a problem at several different levels of abstraction. By investigating the effects of specific design decisions during the design phase rather than the construction phase, the overall cost of building the system diminishes significantly and it can be implemented without wasting much time and money.
Vote of Thanks to the Chief Guest, Guest of Honour, Media and delegates was extended by Shri Ashok Agarwal, C.E.O., YIT, Jaipur.
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Technical Session-I was chaired by Prof. P.S. Gahlot, Director General, YIT. The distinguished speaker in this session were Prof. Harald E. Krogstad from Norway University, Prof. K.R. Pardasani, President GAMS, Prof. R.C. Choudhary, Ex-HOD, Department of Mathematics, University of Rajasthan and Prof. V.P. Saxena, Principal, YIT.
Prof. Harald E. Krogstad, Keynote Speaker, considered mathematical modeling as a part of systems engineering. General principles of systems engineering as :
- Feed back & Control
- Optimisation
- Kinetics, decay & growth
- Inverse problems
- Invariance principles
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Prof. R.C. Choudhary, threw light on how evolution of mathematics started right from the civilization of mankind. The quantification of physical and non-physical systems, processes and nature gave birth to mathematics. The attributes and inter quantity relationships led to the theoretical formulation of dynamic and non-dynamic systems and consequently to mathematical modeling. Weather it was medicine, astrology, architecture or environmental sciences, there are ample evidences of mathematical modeling every where. Thus the history of mathematical modeling of real life problems is as old as the history of mathematics.
Prof. V.P. Saxena presented a process of creating mathematical models for drug distribution and kinetics in outer (dermal & adjoining) parts of human body from the concerned physiology incorporating all significant biophysical activities in the region.
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Technical session II, Paper reading session was chaired by Prof. V.P. Saxena, Mr. Ashok Singh Shekhawat, Sr. Lecturer, Stani Memorial College presenting his paper titled "Application of Fractional Derivative on Certain Problems". Ms. Monika Jain, Lecturer, BMIT, Jaipur presented her paper titled "3-D Generalized Weyl Type Operations". Dr. Shilpi Saxena presented her paper titled "Three Dimensional Flow and Heat Transfer through Naturally Permeable Media of Very Small Permeability". Prof. H.D. Krogstad gave momento to the paper readers.
Towards the end of seminar, vote of thanks to all chief guests, guest of honour, media persons, participants and faculty members was extended by Shri M.K. Sethi, the Secretary General of YIT.
The seminar was conceived, planned and organized by Dr. Shilpi Saxena, Department of Mathematics, Yagyavalkya Institute of Technology, Jaipur under the able leadership of Prof. V.P. Saxena, Principal, YIT and Prof. P.S. Gahlot, Director General, YIT.
