Figure: Visualization of reflection symmetry in the state transition diagram.
Figure: Example of suppressed motif and their impact on cycle length.
Boolean networks are a powerful model for studying complex systems, such as gene regulatory networks and other biological processes. This project investigates how network structure influences long dynamical cycles, key to understanding circadian rhythms, cell cycles, and other cyclic behaviors in natural systems.
Our findings highlight the role of reflection symmetry in enhancing cyclic behaviors and identify structural motifs that either support or suppress such dynamics.
Figure: Visualization of reflection symmetry in the state transition diagram.
Figure: Example of suppressed motif and their impact on cycle length.
[1] Ouellet, M., Kim, J. Z., Guillaume, H., Shaffer, S. M., Bassett, L. C., & Bassett, D. S. (2024). Breaking reflection symmetry: evolving long dynamical cycles in Boolean systems. New Journal of Physics, 26(2), 023006.
An example of motifs showing excitatory (green) and inhibitory (red) connections.