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Bifurcation in cellular evolution

Author

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  • Radillo-Ochoa, Diego
  • Rodríguez-Hernández, Andrea
  • Terrero-Escalante, César A.

Abstract

Aspects of cell metabolism are modeled by ordinary differential equations describing the change of intracellular chemical concentrations. There is a correspondence between this dynamical system and a complex network. As in the classic Erdős–Rényi model, the reaction network can evolve by the iterative addition of edges to the underlying graph. In the biochemical context, each added reaction implies a metabolic mutation. In this work it is shown that modifications to the graph topology by gradually adding mutations seems to lead here too to a percolation-like phase transition related to the formation of a giant connected component. It triggers an abrupt change in the functionality of the corresponding network. This percolation is mapped into a bifurcation in the intracellular dynamics. It acts as a shortcut in biological evolution, so that the most probable metabolic state for the cell is suddenly switched from cellular stagnation to exponential growth.

Suggested Citation

  • Radillo-Ochoa, Diego & Rodríguez-Hernández, Andrea & Terrero-Escalante, César A., 2023. "Bifurcation in cellular evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    • Handle: RePEc:eee:phsmap:v:615:y:2023:i:c:s0378437123001243
    DOI: 10.1016/j.physa.2023.128569
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    References listed on IDEAS

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