earticle

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.