Earticle

초록

영어

Genome contains vital genetic information. It becomes necessary to uncover vast genetic information that is hidden in genetic code. Different types of mathematical models have been evolved over the years but still a lot needs to be done. The regulatory function of genes can be modeled mathematically by using various types of polynomials and also by changing its degree, one can conclude whether increase of the degree of polynomial has any impact on predicate value. In this paper, solution of differential equation for analysis of regulatory gene network using different functions has been studied. In section 2 and 3 related research work and mathematical formulation are discussed. In section 4and 5, model is solved using polynomial, circular function and rational polynomial. The degree of the polynomial also changes the influence of one gene on another gene in gene regulatory network which is non-linear in nature the present study. The study shows that gene regulatory network can be expressed as polynomial and rational polynomials of degree two, three and four. The mathematical models are tested on four different organism i.e Yest, E.coli, drosophila and mycobacterium. The results shows that further increasing the degree does not improve the accuracy of prediction but by enlarge remains same in most of the cases. In case of rational polynomial when degree is changed from 2 to 3 accuracy deteriorates.

목차

Abstract
 1. Introduction
 2. Related Work
 3. Mathematical Formulation
 4. Regulatory Function Approach
 5. Illustration using Yeast, E.coli Data, Drosophila, and MycobacteriumData Set
 6. Conclusion
 References

키워드

저자

• C. K. Verma [ Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal, India ]
• Namita Srivastava [ Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal, India ]

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  International Journal of Advanced Science and Technology

• 간기

  월간

• pISSN

  2005-4238

• 수록기간

  2008~2016

• 십진분류

  KDC 505 DDC 605