Spatiotemporal patterns in active four-state Potts models

Scientific Reports, Год журнала: 2025, Номер 15(1)

Опубликована: Янв. 3, 2025

Many types of spatiotemporal patterns have been observed under nonequilibrium conditions. Cycling through four or more states can provide specific dynamics, such as the spatial coexistence multiple phases. However, transient dynamics only studied by previous theoretical models, since absorbing transition into a uniform phase covered single state occurs in long-time limit. Here, we reported steady long-term using cyclic Potts wherein nucleation and growth play essential roles. Under symmetry states, changes dominant phases are obtained at low high flipping energies, respectively. asymmetric conditions, two diagonal appears addition to non-cyclic one-phase modes. The circular domains formed other they slowly shrink reduce domain boundary. When three-state cycling is added, competition between modes patterns.

Язык: Английский

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Spatiotemporal pattern formation of membranes induced by surface molecular binding/unbinding

Soft Matter, Год журнала: 2025, Номер unknown

Опубликована: Янв. 1, 2025

Nonequilibrium membrane pattern formation is studied using meshless simulation. We consider that molecules bind to either surface of a bilayer and move the opposite leaflet by flip-flop. When binding does not modify properties transfer rates among three states are cyclically symmetric, exhibits spiral-wave homogeneous-cycling modes at high low rates, respectively, as in an off-lattice cyclic Potts model. changes spontaneous curvature, these spatiotemporal dynamics coupled with microphase separation. two symmetric surfaces thermal equilibrium, domains form 4.8.8 tiling patterns addition stripe spot patterns. In nonequilibrium conditions, moving biphasic time-irreversible fluctuating appear. The ballistically or diffusively depending on conditions.

Язык: Английский

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A dissipative mass conserved reaction–diffusion system reveals switching between coexisting polar and oscillatory cell motility states

Chaos An Interdisciplinary Journal of Nonlinear Science, Год журнала: 2025, Номер 35(5)

Опубликована: Май 1, 2025

Motile eukaryotic cells display distinct modes of migration that often occur within the same cell type. It remains unclear, however, whether transitions between migratory require changes in external conditions, or different are coexisting states emerge from underlying signaling network. Using a simplified mass-conserved reaction–diffusion model small GTPase with F-actin mediated feedback, we uncover bistable mechanism (involving gradient-like phase-separation and traveling waves) regime where polarized mode coexists spatiotemporal oscillations; latter, larger domains, including three-dimensional surface geometry, result disordered patterns even absence noise shape deformations. Indeed, experimental observations Dictyostelium discoideum show that, upon collision rigid boundary, may switch to motion.

Язык: Английский

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Mechanical characterization of freestanding lipid bilayers with temperature-controlled phase

Soft Matter, Год журнала: 2024, Номер unknown

Опубликована: Янв. 1, 2024

Lipid membranes formed in a microfluidic device are studied with temperature-controlled optical tweezers, revealing how mechanical properties of ripple phase and gel-fluid phase-separated change when heated above the transition temperature.

Язык: Английский

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