23 papers · ranked by Valyu relevance
Ana P Millán, Hanlin Sun, Joaquín J Torres, Ginestra Bianconi + 1 more
'Rui Reis'] Title: Abstract Triadic interactions are higher-order interactions which occur when a set of nodes affects the interaction between two other nodes. Examples of triadic interactions are present in the brain when glia modulate the synaptic signals among neuron pairs or when interneuron axo-axonic synapses…
Yanbo Zhang, Michael Levin
Scientific data, from cellular snapshots in biology to celestial distributions in cosmology, often consists of static patterns from underlying dynamical systems. These snapshots, while lacking temporal ordering, implicitly encode the processes that preserve them. This work investigates how strongly such a distribution…
Gabriel Marghoti, Matheus Palmero Silva, Thiago de Lima Prado, Sergio Roberto Lopes + 2 more
1 Physics Department, Federal University of Paran´a, Curitiba, Paran´a 81530-015, Brazil 2 Potsdam Institute for Climate Impact Research, Member of the Leibniz Association, Telegraphenberg, 14473 Potsdam, Germany 3 Institute of Mathematical and Computer Sciences, University of S˜ao Paulo, 13560-970 S˜ao Carlos, SP…
Franco Orsucci, Giovanna Zimatore, Chaoming Song, Jianxi Gao
In human dynamics, functioning relies on intricate coordination patterns. Networks of synchronized oscillators in various biological and semiotic fields shape these dynamics. We have observed stability, instability, and transitions at multiple levels, indicating that coordination happens on all scales. We have examined…
Anders Levermann
Through-out human history the new generations have sought to create their own artistic style while trying to avoid repeating, for example, earlier generations' music. If we assume that this search occurs in a multi-dimensional but confined space of creativity, this gives rise to highly complex dynamics. We present a…
Siru Zhong, Zhao Meng, Haohuan Fu, Haoyang Li + 2 more
Local temporal patterns in real-world time series continuously shift, rendering globally shared transformations suboptimal. Current deep forecasting models, despite their scale and complexity, rely on fixed weight matrices applied uniformly to all temporal tokens. This creates a static pattern response: models settle…
Ruwei Yao, Yichao Li, Xintong Yao, Kang Wang + 3 more
Whole brain neural oscillation activities exhibit multiple wave patterns and seem to be supported by the common circuit network structure. We proposed a Hebbian-like Kuramoto model based entirely on heterogeneous connectivity strength rather than phase delay, which encodes the multiple phase patterns as attractors. We…
Julien Laroche, Asaf Bachrach, Lior Noy
Creativity is a key skill for the twenty-first century, where the individual and collective imperative to adapt is omnipresent. Yet, it is still unclear how to put creativity theories into practice, which signals a lacuna in our understanding of the pragmatic means by which we get creative. This paper starts from the…
Usha Kadiyala, David Sprinzak, Nicholas A. M. Monk, Shannon E. Taylor + 6 more
'Shannon E. Taylor' 'Berta Verd' 'Katharina F. Sonnen' 'Lauren Moon' 'Adrienne H. K. Roeder' 'Ruben Perez-Carrasco' 'Pau Formosa-Jordan'] Title: ABSTRACT Developmental biology seeks to unravel the intricate regulatory mechanisms orchestrating the transformation of a single cell into a complex, multicellular organism.…
Marcos Acero, Sean Lyons, Andrés Aragoneses, Arjendu K. Pattanayak + 1 more
'Luciano Zunino'] Identifying signs of regularity and uncovering dynamical symmetries in complex and chaotic systems is crucial both for practical applications and for enhancing our understanding of complex dynamics. Recent approaches have quantified temporal correlations in time series, revealing hidden, approximate…
Alejandra C. Ventura, Horacio G. Rotstein
Degeneracy in dynamic models refers to these situations where multiple combinations of parameter values produce identical patterns for the observable variable. We investigate this phenomenon in two qualitatively different adaptive circuit mechanisms: nonlinear feedback loop (NFBL) and incoherent feedback loop (IFFL).…
Jia Lu, Ryan Tsoi, Nan Luo, Yuanchi Ha + 8 more
Dynamical systems often generate distinct outputs according to different initial conditions, and one can infer the corresponding input configuration given an output. This property captures the essence of information encoding and decoding. Here, we demonstrate the use of self-organized patterns, combined with machine…
Dylan McNamara, Conner Lester, Clinton Edwards, Jennifer Smith + 1 more
Recent in-situ observations within a tropical coral reef have revealed novel polygonal patterns of the calcifying green alga Halimeda. The observed patterns showed no evidence of a matching exogenous template in structural reef morphology, distribution of biological competitors for space, or other environmental…
Nicolas Romeo, Chris Chi, Aaron R. Dinner, Elizabeth R. Jerison
The qualitative study of dynamical systems using bifurcation theory is key to understanding systems from biological clocks and neurons to physical phase transitions. Data generated from such systems can feature complex transients, an unknown number of attractors, and stochasticity. Characterization of these…
Neetu ., Aman Saini, Rishi Ram Mahato, Priyanka . + 1 more
The theory behind origin of life to Darwinian evolution considers emergence of dissipative structures driven by the flow of energy across all length scales. To this end, developing and deeper understanding of non-equilibrium self-assembly processes under continuous supply of energy is a demanding matter, both in…
Vit Piskovsky
The spatiotemporal patterns of predators and their prey play a pivotal role in ecology and ecological interactions can drive their formation at fine scales (1). While motility can explain the emergence of such predator-prey patterns (2–14) via the Turing mechanism (15), the predicted Turing patterns do not exhibit…
Martina Crippa, Claudio Perego, Anna de Marco, Giovanni M. Pavan
Supramolecular polymers are composed of monomers that self-assemble non-covalently, generating distributions of monodimensional fibres in continuous communication with each other and with the surrounding solution. Fibres, exchanging molecular species, and external environment constitute a sole complex system, which…
Juliana Londono Alvarez
Neural circuits in the brain perform a variety of essential functions, including input classification, pattern completion, and the generation of rhythms and oscillations that support processes such as breathing and locomotion [51]. There is also substantial evidence that the brain encodes memories and processes…
Yoshiharu Mukouyama, Kenya Tanaka, Shuji Nakanishi, Yoshihiro Nakato
The present work reveals that a prebiotic chemical system can generate self-organizing ability that leads to highly ordered structures and an active character such as free independent harmonious behavior. This result is the properties of natural things that have long been overlooked since Darwin’s theory of evolution…
Matthew Bailey, Mark Wilson
One of the critical tools of persistent homology is the persistence diagram. We demonstrate the applicability of a persistence diagram showing the existence of topological features (here rings in a 2D network) generated over time instead of space as a tool to analyse trajectories of biological networks. We show how the…
Yoshiharu Mukouyama, Kenya Tanaka, Shuji Nakanishi, Yoshihiro Nakato
The emergence of life on Earth has attracted intense attention but remains unclear. A key problem is that the question of how living organisms can exhibit self-organizing ability that leads to highly ordered structures and active free independent behavior remains unanswered. This work reveals, by computer simulation…
Authors not listed
Metastable states and the conformational transitions in between them are key to understanding dynamical behaviour and function of large-scale molecular systems. By combining basic dimensionality reduction techniques with a state-of-the art approximation of the Koopman operator associated to molecular dynamics…
Authors not listed
Collective variables (CVs) are essential for interpreting and accelerating rare events in molecular simulations. However, their design remains limited by the requirement of differentiability with respect to atomic coordinates. This constraint excludes many powerful structural descriptors that are routinely used for…