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Renormalized mechanics and stochastic thermodynamics of growing vesicles (2503.24120v2)

Published 31 Mar 2025 in cond-mat.soft and physics.bio-ph

Abstract: Uncovering the rules governing the nonequilibrium dynamics of the membranes that define biological cells is of central importance to understanding the physics of living systems. We theoretically and computationally investigate the behavior of flexible quasispherical vesicles that exchange membrane constituents, internal volume, and heat with an external reservoir. The excess chemical potential and osmotic pressure difference imposed by the reservoir act as generalized thermodynamic driving forces that modulate vesicle morphology. We show that the renormalization of membrane mechanical properties by nonequilibrium driving gives rise to a morphological transition between a weakly driven regime, in which growing vesicles remain quasispherical, and a strongly driven regime, in which vesicles accommodate rapid membrane uptake by developing surface wrinkles. Additionally, we propose a minimal vesicle growth-shape law, derived using insights from stochastic thermodynamics, that robustly describes vesicle growth dynamics even in strongly driven, far-from-equilibrium regimes.

Summary

Insightful Overview of "Renormalized Mechanics and Stochastic Thermodynamics of Growing Model Protocells"

The research paper entitled "Renormalized mechanics and stochastic thermodynamics of growing model protocells" provides a substantial contribution to the understanding of nonequilibrium dynamics in biological membranes, using model protocells as proxies. The authors, Shivers et al., employ a theoretical and computational approach to dissect the behavior of flexible quasispherical vesicles in interaction with an external reservoir.

In this paper, the authors investigate the model protocells' morphological transitions under the influence of excess chemical potential and osmotic pressure difference, acting as generalized thermodynamic forces. Their paramount finding is the identification of a nonequilibrium morphological transition. This transition distinguishes between a weakly driven regime, characterized by vesicles maintaining quasi-spherical morphology, and a strongly driven regime, characterized by the formation of vesicular surface wrinkles to accommodate rapid membrane uptake. The paper attributes this transition to the renormalization of membrane mechanical properties induced by nonequilibrium conditions.

The paper leverages concepts from stochastic thermodynamics to propose a minimal growth-shape law that remains applicable even in far-from-equilibrium conditions, indicating the robustness of this model. Through a combination of Monte Carlo simulations and theoretical modeling, the paper examines net fluxes in material and volume, effectively linking dynamic changes in protocell morphology to underlying thermodynamic principles.

From a computational perspective, the paper employs triangulated mesh models for vesicles in three dimensions and ring polymer models for two-dimensional analogs. These models account for stochastic exchanges of membrane material, volume, and heat, a methodological choice allowing the authors to simulate the dynamic behavior of the system accurately. The Monte Carlo simulation method, with a specific move set—vertex translation, edge flipping, vertex addition, and removal—captures essential configurational dynamics, which, in turn, help validate the theoretical models proposed.

The paper is particularly notable for its quantitative evaluation of effective mechanical properties—tension, Young's modulus, and bending rigidity—and how these properties are altered under nonequilibrium conditions. Intriguingly, the authors elucidate that nonequilibrium driving can dramatically decrease effective tension, potentially reaching a critical threshold and inducing buckling, equivalent to those of elastic shells under pressure, albeit in a dynamic setting.

The implications of these findings extend across both practical and theoretical domains. Practically, the insights can inform the design of synthetic vesicles or artificial cells, especially in fields that require precise control over vesicle morphology, such as drug delivery systems. Theoretically, the paper enhances our comprehension of cellular processes, potentially offering analogs in understanding phenomena like vesicle trafficking and cell division in biological cells.

Moreover, the paper sets a precedent for future research by highlighting the benefits of integrating principles of stochastic thermodynamics with simulations, presenting an approach that could be extended to paper complex living systems more broadly. This framework is invaluable for dissecting membrane dynamics that are not just limited to biological cells but also applicable to synthetic biomimetic systems.

In summary, Shivers et al.'s work presents a nuanced understanding of protocell dynamics that bridges a gap between traditional thermodynamic models and the complex behavior observed in nonequilibrium systems, thus contributing both to the theoretical physics of living systems and the potential for practical innovations in biophysical applications. Future research could further build on these findings to explore more complex interactions and conditions, perhaps combining active biological processes with passive protocell models, pushing the frontiers of synthetic biology and bioengineering.

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