Abstract

Our previous work on the temporal development of the genome-expression profile in single-cell early mouse embryo indicated that reprogramming occurs via a critical transition state, where the critical-regulation pattern of the zygote state disappears. In this report, we unveil the detailed mechanism of how the dynamic interaction of thermodynamic states (critical states) enables the genome system to pass through the critical transition state to achieve genome reprogramming right after the late 2-cell state. Self-organized criticality (SOC) control of overall expression provides a snapshot of self-organization and explains the coexistence of critical states at a certain experimental time point. The time-development of self-organization is dynamically modulated by changes in expression flux between critical states through the cell nucleus milieu, where sequential global perturbations involving activation-inhibition of multiple critical states occur from the middle 2-cell to the 4-cell state. Two cyclic fluxes act as feedback flow and generate critical-state coherent oscillatory dynamics. Dynamic perturbation of these cyclic flows due to vivid activation of the ensemble of low-variance expression (sub-critical state) genes allows the genome system to overcome a transition state during reprogramming. Our findings imply that a universal mechanism of long-term global RNA oscillation underlies autonomous SOC control, and the critical gene ensemble at a critical point (CP) drives genome reprogramming. Identification of the corresponding molecular players will be essential for understanding single-cell reprogramming.

Highlights

  • In mammalian embryo development, many molecular-level epigenetic studies [1,2,3] have revealed the presence of stunning global epigenetic modifications on chromatins (DNA + histones) associated with reprogramming processes

  • Coherent-stochastic behaviors emerged in critical states based

  • The results regarding flux dynamics suggest that the critical gene ensemble of the on (i) thecritical law of large critical state center point playsnumbers an essential in roleeach in reprogramming

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Summary

Introduction

Many molecular-level epigenetic studies [1,2,3] have revealed the presence of stunning global epigenetic modifications on chromatins (DNA + histones) associated with reprogramming processes. In our previous studies, based on transcriptome experimental data for seven distinct cell fates [4], we recognized that a self-organized criticality (SOC) transition in whole-genome expression plays an essential role in the change in the genome expression state at both the population and single-cell levels (see Methods, for more details [4,5,6]). SOC control of overall expression represents the self-organization of coexisting critical states (distinct response expression domains) through a critical transition. Temporal variance expression (normalized root mean square fluctuation: nrmsf ; see Methods) acts as an order parameter in self-organization. Coherent behaviors emerge from stochastic expression within critical states (coherent-stochastic behaviors; see non-equilibrium statistical mechanism underpinning the spontaneous emergence of order out of disorder [7]) as the collective behaviors of groups with more than around 50 genes (mean-field approach) [6,8,9]

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