Arun K. Sinha

Work place: Department of Mathematics, Dayalbagh Educational Institute, Agra, India



Research Interests: Computer systems and computational processes, Data Structures and Algorithms, Statistics


Prof. Arun K. Sinha has earned M. Sc. in Mathematics Specialization in Statistics and Ph.D. in Mathematics from Agra College, India. His research areas are statistics and bio-mathematics. He has 35 years of teaching experience. Currently he is Head, Department of Mathematics, Dayalbagh Educational Institute, Agra.

Author Articles
Anatomy and Diseases of Human Biliary System: An Analysis by Mathematical Model

By Dharna Satsangi Arun K. Sinha

DOI:, Pub. Date: 8 Aug. 2012

The objective of this paper is to develop an understanding of the diseases related with gallbladder, liver, and biliary tract. The study focuses on human biliary system that is how bile flows in the human body. This can be done by developing an understanding of gallbladder and bile flowing in the body and related organs very briefly. Gallstone is an important disease of gallbladder and is closely related to pressure drop. A small model for the human biliary system is also analyzed in this study. The cylindrical model of gallbladder and ducts in contraction and extension phase is used for the study. The amount of substances present in the organ varies in these cases. With the help of this study it is concluded that the flux decreases on increasing the radius and length of the cylinder. It is observed that the behavior of flow of bile in gallbladder is similar to the flow of bile in the ducts.

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Dynamics of Love and Happiness: A Mathematical Analysis

By Dharna Satsangi Arun K. Sinha

DOI:, Pub. Date: 8 May 2012

The human behavior is a combination of several feelings. There are two cases whether a person likes other individual or not. The liking of an individual leads to love and finally happiness. The feelings of love may be in different forms but here considered to be partners' love. There are three aspects of love for the partner: forgetting process (oblivion), the pleasure of being loved (return), and the reaction to the appeal of the partner (instinct). Along with that the appeals and the personalities of the two individuals do not vary in time. This model proves that if the geometric mean reactive-ness to love is smaller than the geometric mean forgetting coefficient and the system is asymptotically stable if the ratio of appeals is greater than the reciprocal of ratio of mutual intensiveness coefficient.

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