Nonlinear Dynamics and Pattern Formation

A Spatio-temporal Investigation of Dynamics of a Two-dimensional Multi-scale Fitz-Hugh Nagumo Neuronal Network

This paper investigates the dynamics of a two-dimensional multi-scale Fitz-Hugh Nagumo neuronal network, analyzing synchronization and traveling wave formation across spatial scales.

Macroscopic waves, biological clocks and morphogenesis driven by light in a giant unicellular green alga

This study investigates self-organised chloroplast waves in Caulerpa brachypus, showing their coupling to a biological oscillator and response to light patterns.

Turing pattern prediction in three-dimensional domains: the role of initial conditions and growth

This study investigates Turing pattern formation in 3D domains, showing that initial conditions and domain growth influence pattern stability and emergence.

Distributed information encoding and decoding using self-organized spatial patterns

The paper demonstrates a method using self-organized patterns and machine learning to encode and decode information, showing scalability by mapping the English keyboard.

Biological Action at a Distance: Correlated pattern formation in adjacent tessellation domains without communication

The paper shows that pattern formation in adjacent tessellated domains can be correlated through geometry, without direct communication, and validates this with biological examples.

The Design Principles of Discrete Turing Patterning Systems

This study compares continuous and discrete models of Turing patterns, finding discrete models more robust and suggesting deeper principles in Turing mechanisms.

Mathematical modeling of Erk activity waves in regenerating zebrafish scales

The paper develops a reaction-diffusion model to explain Erk activity waves in zebrafish scale regeneration, showing how feedback loops control wave properties and propagation.

Beyond Turing: Far-from-equilibrium patterns and mechano-chemical feedback

The paper challenges the classical Turing pattern theory by proposing two alternative frameworks for pattern formation, emphasizing far-from-equilibrium dynamics and mechano-chemical feedback.

Cellular Synchronisation through Unidirectional and Phase-Gated Signalling

The paper introduces a phase-gated and unidirectional coupling mechanism to explain cell synchronization in the presomitic mesoderm through Notch signaling.

Synchronization and resilience in the Kuramotowhite matter network model with adaptivestate-dependent delays

The paper modifies the Kuramoto model to include adaptive, phase-dependent delays in white matter networks, showing that these delays stabilize synchronization and enhance resilience to perturbations.

Cellular logics bringing the symmetry breaking in spiral nucleation revealed by trans-scale imaging

The paper investigates the mechanisms of spiral wave self-organization in social amoebae using trans-scale imaging, identifying population-level, cell-level, and intermediate-scale dynamics.

Large Scale-Free Network Organization is Likely Key for Biofilm Phase Transition

The paper uses a non-linear Kuramoto model to show that scale-free networks enable synchronization in biological systems, suggesting low expression genes are key for biofilm phase transitions.

Optogenetics enables real-time spatiotemporal control over spiral wave dynamics in an excitable cardiac system

Turing patterns are common but not robust

The paper explores Turing pattern design space to determine how common and robust they are, finding that they are common but sensitive to parameter changes.

Turing-like patterns can arise from purely bioelectric mechanisms

The paper shows bioelectric mechanisms can generate Turing-like patterns without gene regulation or traditional reaction-diffusion.

Model reduction permits Turing instability analysis of arbitrary reaction-diffusion models

This paper introduces a method to reduce complex biochemical systems to simpler ones for Turing instability analysis, demonstrating its effectiveness with examples.