ArticlePLoS computational biology2012
A canonical model of multistability and scale-invariance in biological systems.
Article in PLoS computational biology, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 98 papers, 1 of them a synthesis that pooled it.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
98 citing papers in PubMed, 1 synthesis or guideline pooled it, 206 citations in OpenAlex.
- Synergistic, multi-level understanding of psychedelics: three systematic reviews and meta-analyses of their pharmacology, neuroimaging and phenomenology.Translational psychiatry · 2024Pooled it
- Awakening: Predicting external stimulation to force transitions between different brain states.Proceedings of the National Academy of Sciences of the United States of America · 2019Trial
- Clinical markers of disease progression in the prodromal to overt alpha-synucleinopathy continuum.Brain : a journal of neurology · 2026Article
- Spontaneous changes in the prestimulus alpha power predict both objective and subjective aspects of perception-evidence from 4 paradigms and 471 experimental sessions.Cerebral cortex (New York, N.Y. : 1991) · 2026Article
- Energy-Based Phase-Locking State Analysis in Brain State Identification.Human brain mapping · 2026Article
- The influence of nonlinear resonance on human cortical oscillations.Communications biology · 2026Article
- Competitive interactions shape mammalian brain network dynamics and computation.Nature neuroscience · 2026Article
- Toward Unified Biomarkers for Focal Epilepsy.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2026Article
- Molecular abnormalities scale across three models of cerebral injury.Frontiers in molecular neuroscience · 2026Article
- Brain function in language and associated networks in non- or minimally verbal children.Brain communications · 2026Article
- Disrupted Brain Hierarchical Organization in Alzheimer's Disease Progression.medRxiv : the preprint server for health sciences · 2025Article
- Two views of the brain are reconciled by a unifying principle of maximal information processing.bioRxiv : the preprint server for biology · 2025Article
- Deep learning and whole-brain networks for biomarker discovery: modeling the dynamics of brain fluctuations in resting-state and cognitive tasks.Scientific reports · 2025Article
- Temporal network instability and low-frequency overconnectivity underlie disorders of consciousness in severe brain injury.Scientific reports · 2025Article
- Aberrant E-I Balance and Brain Criticality in Major Depressive Disorder.bioRxiv : the preprint server for biology · 2025Article
- Mechanisms and interventions promoting healthy frontostriatal dynamics in obsessive-compulsive disorder.Nature communications · 2025Article
- Perturbing whole-brain models of brain hierarchy: An application for depression following pharmacological treatment.Annals of the New York Academy of Sciences · 2025Article
- Unveiling Cortical Criticality Changes along the Prodromal to the Overt Continuum of Alpha-Synucleinopathy.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2025Article
- Optimizing Biophysical Large-Scale Brain Circuit Models With Deep Neural Networks.bioRxiv : the preprint server for biology · 2025Article
- Precision data-driven modeling of cortical dynamics reveals person-specific mechanisms underpinning brain electrophysiology.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
38 more citing papers are in PubMed but not listed here.
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
4 authors at 4 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Multistability and scale-invariant fluctuations occur in a wide variety of biological organisms from bacteria to humans as well as financial, chemical and complex physical systems. Multistability refers to noise driven switches between multiple weakly stable states. Scale-invariant fluctuations arise when there is an approximately constant ratio between the mean and standard deviation of a system's fluctuations. Both are an important property of human perception, movement, decision making and computation and they occur together in the human alpha rhythm, imparting it with complex dynamical behavior. Here, we elucidate their fundamental dynamical mechanisms in a canonical model of nonlinear bifurcations under stochastic fluctuations. We find that the co-occurrence of multistability and scale-invariant fluctuations mandates two important dynamical properties: Multistability arises in the presence of a subcritical Hopf bifurcation, which generates co-existing attractors, whilst the introduction of multiplicative (state-dependent) noise ensures that as the system jumps between these attractors, fluctuations remain in constant proportion to their mean and their temporal statistics become long-tailed. The simple algebraic construction of this model affords a systematic analysis of the contribution of stochastic and nonlinear processes to cortical rhythms, complementing a recently proposed biophysical model. Similar dynamics also occur in a kinetic model of gene regulation, suggesting universality across a broad class of biological phenomena.
Indexed as
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.