Vol. 10 No. 1 (2026): Vol 10, Iss 1, Year 2026
Articles

Bifurcation from a Stable Equilibrium in the Genome

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  • Geethalakshmi S,
  • Arul Prakash K,
  • Kalaiarasi S,
  • Vignesh K
Geethalakshmi S
Department of Mathematics, Sacred Heart College(Autonomous), Tirupattur, Tamil Nadu, South India.
Arul Prakash K
PG Assistant, St. Mary’s Hr Sec School, Chinna Udayamuthur, Tirupattur Tamil Nadu, South India.
Kalaiarasi S
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, South India.
Vignesh K
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, South India.
DOI: https://doi.org/10.26524/cm233
Published June 15, 2026
Keywords
  • Bifurcation , Hopf-Bifurcation, Pitchfork Bifurcation, Gene Network, Genome.
How to Cite
Geethalakshmi S, Arul Prakash K, Kalaiarasi S, & Vignesh K. (2026). Bifurcation from a Stable Equilibrium in the Genome. Journal of Computational Mathematica, 10(1), 83-98. https://doi.org/10.26524/cm233

Abstract

This work explores a genome network and introduces the concepts of core and layering within the network. Based on this structure, a dynamical system for gene expression levels is developed. The system exhibits two main bifurcations arising from a stable equilibrium. Preliminary results toward understanding these bifurcations in n-dimensions are also presented. This work contributes to a deeper understanding of genome dynamics and controllability.

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