Kinetic roughening in active interfaces

Cagnetta, Francesco; Evans, Martin R.; Marenduzzo, Davide

doi:10.1051/epjconf/202023000001

Cited by 7 publications

(3 citation statements)

References 22 publications

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“…On the other hand, the EW and KPZ equations do not contain the corresponding noise term. The EW equation with temporally fixed noise has recently been considered by Cagnetta et al [43]. They focused on pattern formation of a membrane in the biological context, and they obtained scaling properties of the power spectra that are consistent with our results (10).…”

Section: Discussionsupporting

confidence: 90%

Mechanism underlying dynamic scaling properties observed in the contour of spreading epithelial monolayer

2020

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We found evidence of dynamic scaling in the spreading of Madin-Darby canine kidney (MDCK) cell monolayer, which can be characterized by the Hurst exponent α = 0.86 and the growth exponent β = 0.73, and theoretically and experimentally clarified the mechanism that governs the contour shape dynamics. Dynamic scaling refers to the roughness of the surface scales, both spatially and temporally. During the spreading of the monolayer, it is known that so-called leader cells generate the driving force and lead the other cells. Our time-lapse observations of cell behavior showed that these leader cells appeared at the early stage of the spreading and formed the monolayer protrusion. Informed by these observations, we developed a simple mathematical model that included differences in cell motility, cell-cell adhesion, and random cell movement. The model reproduced the quantitative characteristics obtained from the experiment, such as the spreading speed, the distribution of the increment, and the dynamic scaling law. Analysis of the model equation shows that the model can reproduce different scaling laws from (α = 0.5, β = 0.25) to (α = 0.9, β = 0.75), where the exponents α and β are determined by two dimensionless quantities determined by the microscopic cell behavior. From the analytical result, parameter estimation from the experimental results was achieved. The monolayer on the collagen-coated dishes showed a different scaling law, α = 0.74, β = 0.68, suggesting that cell motility increased ninefold. This result was consistent with the assay of the single-cell motility. Our study demonstrated that the dynamics of the contour of the monolayer were explained by the simple model, and we propose a mechanism that exhibits the dynamic scaling property.

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Section: Discussionsupporting

confidence: 90%

Mechanism underlying dynamic scaling properties observed in the contour of spreading epithelial monolayer

2020

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“…Self-organized shape kinetics and dynamics of the active surfaces [736] and self-organization processes at the active interfaces [737] (see Figure 26) are well-known phenomena. Reactions on the self-organizing surface produce kinetic roughening [738] (in accordance with the Kardar-Parisi-Zhang equation), which can promote cross-catalytic processes. Such self-organization can be considered as "natural nanotechnology", which replaces artificial methods of designing an active surface by adapting it to the conditions of the environment (either liquid or gaseous) [739,740].…”

Section: Structure-forming Surface Activitymentioning

confidence: 85%

Photoinduced Self-Organization in “Semiconductor World”: Part I. from Protophotosynthesis to Protomembranes

Gradov,

Gradova

2023

Preprint

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This work is the first part of a series of papers on a comprehensive analysis of the processes of prebiotic self-organization and protophotosynthesis on the surface of semiconductor minerals and in systems of natural dispersed semiconductors. Comprehensive analysis within the framework of the "semiconductor world" concept allows integrating a variety of models on a single physical basis - from ZnS world and FeS world (based on inorganic semiconductors) to the PAH world and aromatic world (including organic semiconductors). Thus, we do not put forward a new alternative hypothesis of chemical evolution - a new "chemical world", but only integrate the evolutionary and geochemical criteria of different "chemical worlds" into a single "physical world", which gives one the opportunity to reconstruct and predict the directions of chemical evolution according to the uniform principles of physical chemistry. In the first part of this series we consider photoinduced self-organization and "photo-controlled" evolution of the early protobiological systems performing solar energy conversion on the surface of dispersed semiconductor minerals capable of (photo)catalyzing and photosensitizing prebiological processes. The latter include a transition from the elementary cycles of photocatalytic reactions on the surface of semiconductors to protophotometabolic cycles and protophotosynthesis, from photophysical processes on the surface of mineral semiconductors to photoinduced membrane potentials, from photocontrolled sorption on the surface of such minerals to the formation of photosensitive protomembranes and selection of photosynthetic structures. The evolutionary approach to the analysis of protobiological mechanisms and protobioenergetics within the framework of the "semiconductor world" concept provides a new approach to the study of the last common point of divergence of protobiological systems, where the emergence principles of different energy supply schemes (like the energy source-specific photoautotrophy and substrate-specific chemoautotrophy) merge at the physicochemical level. The proposed integrating scheme is consistent with most biological, geological, and physicochemical concepts, which ensures its complete cross-checking and internal consistency.

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“…These processes are prevalent in a wide range of natural and engineered systems, contributing to the formation of diverse surface patterns. Examples include the growth of crystal surfaces [1], the development of thin films [2], the advancement of biological fronts such as bacterial colonies [3], coffee stains, density of birds on a wire [4], sedimentary rock formations [5], the progression of chemical reaction fronts, and DNA walk [6]. The roughening of interfaces is influenced by both deterministic and stochastic factors.…”

Section: Introductionmentioning

confidence: 99%

A Versatile Deposition Model for Natural and Processed Surfaces

Ates,

Koch,

Bauer

2024

Dynamics

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This paper introduces a robust deposition model designed for exploring the growth dynamics of deposits on surfaces under practical conditions. The study addresses the challenge of characterizing the intricate morphology of deposits, exhibiting significant visual variations. A generative approach is deployed to create diverse natural and engineered surface textures, governed by probabilistic principles. The model’s formulation addresses key questions related to deposition initiation, nucleation point behaviour, spatial scaling, deposit growth rates, spread dynamics, and surface mobility. A versatile algorithm, relying on six parameters and employing nested loops and Gaussian sampling, is developed. The algorithm’s efficacy is examined through extensive simulations, involving variations in nucleation scaling densities, aggregate scaling scenarios, spread factors, and diffusion rates. Surface statistics are computed for simulated deposits and analyzed using Fast Fourier Transform (FFT). The resulting database enables quantitative comparisons of surfaces generated with different parameters, where the database-derived parallel coordinates offer guidance for selecting optimal model parameters to achieve desired surface morphologies. The proposed approach is validated against urea-derived deposits, exhibiting statistical consistency and agreement with experimental observations. Overall, the model’s adaptable framework holds promise for understanding and predicting deposit growth on surfaces in diverse practical scenarios.

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Kinetic roughening in active interfaces

Cited by 7 publications

References 22 publications

Mechanism underlying dynamic scaling properties observed in the contour of spreading epithelial monolayer

Mechanism underlying dynamic scaling properties observed in the contour of spreading epithelial monolayer

Photoinduced Self-Organization in “Semiconductor World”: Part I. from Protophotosynthesis to Protomembranes

A Versatile Deposition Model for Natural and Processed Surfaces

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