title: Steady-State-Preserving Simulation of Genetic Regulatory Systems.
abstract: A novel family of exponential Runge-Kutta (expRK) methods are designed incorporating the stable steady-state structure of genetic regulatory systems. A natural and convenient approach to constructing new expRK methods on the base of traditional RK methods is provided. In the numerical integration of the one-gene, two-gene, and p53-mdm2 regulatory systems, the new expRK methods are shown to be more accurate than their prototype RK methods. Moreover, for nonstiff genetic regulatory systems, the expRK methods are more efficient than some traditional exponential RK integrators in the scientific literature.
authors.affiliation: College of Sciences, Nanjing Agricultural University, Nanjing 210095, China; College of Horticulture, Nanjing Agricultural University, Nanjing 210095, China.
authors.forename: Ruqiang
authors.identifier: 0000-0002-6459-7294
authors.initials: R
authors.lastname: Zhang
authors.affiliation: College of Horticulture, Nanjing Agricultural University, Nanjing 210095, China; Department of Mathematics, University of Lagos, Lagos 23401, Nigeria.
authors.forename: Julius Osato
authors.identifier: 0000-0002-3159-5743
authors.initials: JO
authors.lastname: Ehigie
authors.affiliation: College of Horticulture, Nanjing Agricultural University, Nanjing 210095, China.
authors.forename: Xilin
authors.initials: X
authors.lastname: Hou
authors.affiliation: College of Sciences, Nanjing Agricultural University, Nanjing 210095, China.
authors.forename: Xiong
authors.identifier: 0000-0002-0343-3878
authors.initials: X
authors.lastname: You
authors.affiliation: College of Sciences, Nanjing Agricultural University, Nanjing 210095, China.
authors.forename: Chunlu
authors.identifier: 0000-0001-5046-221X
authors.initials: C
authors.lastname: Yuan
mesh_terms: D000465:Algorithms; D019295:Computational Biology / Q000379:methods; D003198:Computer Simulation; D053263:Gene Regulatory Networks; D006801:Humans; D008957:Models, Genetic; D009716:Numerical Analysis, Computer-Assisted; D014176:Protein Biosynthesis; D051736:Proto-Oncogene Proteins c-mdm2 / Q000235:genetics*; D012333:RNA, Messenger / Q000378:metabolism; D049490:Systems Biology; D014158:Transcription, Genetic; D016159:Tumor Suppressor Protein p53 / Q000235:genetics*
chemical_list: D012333:RNA, Messenger; C495901:TP53 protein, human; D016159:Tumor Suppressor Protein p53; C497206:MDM2 protein, human; D051736:Proto-Oncogene Proteins c-mdm2