Behavior of information flow near criticality.

@article{Meijers2021BehaviorOI,
  title={Behavior of information flow near criticality.},
  author={Matthijs Meijers and Sosuke Ito and Pieter Rein ten Wolde},
  journal={Physical review. E},
  year={2021},
  volume={103 1},
  pages={
          L010102
        }
}
Recent experiments have indicated that many biological systems self-organize near their critical point, which hints at a common design principle. While it has been suggested that information transmission is optimized near the critical point, it remains unclear how information transmission depends on the dynamics of the input signal, the distance over which the information needs to be transmitted, and the distance to the critical point. Here we employ stochastic simulations of a driven two… 
Escherichia coli chemotaxis is information limited
Organisms acquire and use information from their environment to guide their behaviour. However, it is unclear whether this information quantitatively limits their performance at behavioural tasks.
Inferring couplings in networks across order-disorder phase transitions
TLDR
This work considers a reconstruction of ferromagnetic Ising models on Erdős-Rényi random graphs by direct coupling analysis (DCA), and offers insight into the regime in which DCA operates so successfully and more broadly how inference interacts with the nature of data-generating distributions.
Multicellular sensing at a feedback-induced critical point.
TLDR
A simple biochemical model with nonlinear feedback and multicellular communication is investigated to determine if criticality provides a functional benefit in terms of the ability to gain information about a stochastic chemical signal and finds that when signal fluctuations are slow, the mutual information between the signal and the intracellular readout is maximized at criticality.

References

SHOWING 1-10 OF 57 REFERENCES
Mutual information in time-varying biochemical systems.
TLDR
This work uses information theory to characterize the reliability of transmission of time-varying signals through elementary biochemical reactions in the presence of noise, and finds that a detector that does not consume the ligand molecule upon detection can more reliably transmit slowly varying signals, while an absorbing detector canMore reliably transmit rapidly varying signals.
What we learn from the learning rate
TLDR
This paper explores the behaviour of the learning rate for a number of simple model systems, establishing when and how its behaviour is distinct from the instantaneous mutual information between subsystems.
Anatomy of a Spin: The Information-Theoretic Structure of Classical Spin Systems
TLDR
This work decomposes the system's thermodynamic entropy density into a localized entropy that is solely contained in the dynamics at a single location, and a bound entropy, that is stored in space as domains, clusters, excitations, or other emergent structures.
Universal role of correlation entropy in critical phenomena
In statistical physics, if we divide successively an equilibrium system into two parts, we will face a situation that, to a certain length., the physics of a subsystem is no longer the same as the
Information flow in a kinetic Ising model peaks in the disordered phase.
TLDR
P conjecture that for a complex dynamical system in the process of transitioning from disordered to ordered dynamics (a mechanism implicated in financial market crashes and the onset of some types of epileptic seizures); information dynamics may be able to predict an imminent transition.
Synergy as a warning sign of transitions: The case of the two-dimensional Ising model.
TLDR
The results demonstrate that considering as few as three variables is sufficient to construct a precursor of the transition, and provide a paradigm for the investigation of a variety of systems prone to crisis, such as financial markets, social media, or epileptic seizures.
Signal Percolation within a Bacterial Community.
TLDR
The model predicts that signal transmission becomes possible when the community is organized near a critical phase transition between a disconnected and a fully connected conduit of signaling cells, and suggests that at this critical point, the population-level benefit of signal transmission outweighs the single-cell level cost.
Thermodynamics and signatures of criticality in a network of neurons
TLDR
This work uses methods from statistical physics to describe the collective activity in the retina as it responds to complex inputs such as those encountered in the natural environment, finding that the distribution of messages that the retina sends to the brain is very special.
Time‐Dependent Statistics of the Ising Model
The individual spins of the Ising model are assumed to interact with an external agency (e.g., a heat reservoir) which causes them to change their states randomly with time. Coupling between the
Information Decomposition in Multivariate Systems: Definitions, Implementation and Application to Cardiovascular Networks
TLDR
The results document the importance of combining the assessment of information storage, transfer and modification to investigate common and complementary aspects of network dynamics; suggest the higher specificity to alterations in the network properties of the measures derived from the decompositions; and indicate that measures of information transfer and information modification are better assessed through entropy-based and variance-based implementations of the framework.
...
1
2
3
4
5
...