Let us celebrate a big achievement of our talented Data Scientist, Dávid Deritei. The paper David has co-authored, titled Parity and time reversal elucidate both decision-making in empirical models and attractor scaling in critical Boolean networks, has recently been featured on the top journal Science Advances.
We are very proud to have such an accomplished professional in our team, congrats Dávid!
Parity and time reversal elucidate both decision-making in empirical models and attractor scaling in critical Boolean networks
We present new applications of parity inversion and time reversal to the emergence of complex behavior from simple dynamical rules in stochastic discrete models. Our parity-based encoding of causal relationships and time-reversal construction efficiently reveal discrete analogs of stable and unstable manifolds. We demonstrate their predictive power by studying decision-making in systems biology and statistical physics models. These applications underpin a novel attractor identification algorithm implemented for Boolean networks under stochastic dynamics. Its speed enables resolving a long-standing open question of how attractor count in critical random Boolean networks scales with network size and whether the scaling matches biological observations. Via 80-fold improvement in probed network size (N = 16,384), we find the unexpectedly low scaling exponent of 0.12 ± 0.05, approximately one-tenth the analytical upper bound. We demonstrate a general principle: A system’s relationship to its time reversal and state-space inversion constrains its repertoire of emergent behaviors.
The full article including figures and references available for download here:
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