Buckling Dynamics of Compressed Thin Sheets (Membranes)

Moldovan, Dorel; Golubović, Leonardo

doi:10.1103/physrevlett.82.2884

Cited by 44 publications

(25 citation statements)

References 31 publications

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“…Early attempts to explain emerging epithelial patterns in tubular tissues have considered simplified models with either a compressed thin sheet [17][18][19][20] or a growing flat film on a soft elastic substrate [21,22]. Further work has used finite elasticity to study the circumferential folding of growing tubular tissue using both linear stability analysis [23,24] and numerical methods [25,26].…”

mentioning

confidence: 99%

Pattern Selection in Growing Tubular Tissues

Ciarletta¹,

Balbi²,

Kuhl³

2014

Phys. Rev. Lett.

108

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Tubular organs display a wide variety of surface morphologies including circumferential and longitudinal folds, square and hexagonal undulations, and finger-type protrusions. Surface morphology is closely correlated to tissue function and serves as a clinical indicator for physiological and pathological conditions, but the regulators of surface morphology remain poorly understood. Here, we explore the role of geometry and elasticity on the formation of surface patterns. We establish morphological phase diagrams for patterns selection and show that increasing the thickness or stiffness ratio between the outer and inner tubular layers induces a gradual transition from circumferential to longitudinal folding. Our results suggest that physical forces act as regulators during organogenesis and give rise to the characteristic circular folds in the esophagus, the longitudinal folds in the valves of Kerckring, the surface networks in villi, and the crypts in the large intestine.

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confidence: 99%

Pattern Selection in Growing Tubular Tissues

Ciarletta¹,

Balbi²,

Kuhl³

2014

Phys. Rev. Lett.

108

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“…We note that, in general, the Euler buckling amplitude is proportional to the lateral length scale (wavelength) of the buckling undulation; see Refs. [21,22]. This lateral scale generally grows with time [21,22], and only at the longest times, the lateral length scale reaches the full membrane lateral size.…”

Section: W-lipid/peptide Complexesmentioning

confidence: 99%

Effects of Antimicrobial Peptide Revealed by Simulations: Translocation, Pore Formation, Membrane Corrugation and Euler Buckling

Chen

Jia

Ling

et al. 2013

IJMS

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We explore the effects of the peripheral and transmembrane antimicrobial peptides on the lipid bilayer membrane by using the coarse grained Dissipative Particle Dynamics simulations. We study peptide/lipid membrane complexes by considering peptides with various structure, hydrophobicity and peptide/lipid interaction strength. The role of lipid/water interaction is also discussed. We discuss a rich variety of membrane morphological changes induced by peptides, such as pore formation, membrane corrugation and Euler buckling.

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“…Thus Eqs. (3.13) and (3.21) yield 22) and hence from (3.20) 24) and from (3.20) and (3.24) we have another scaling relation…”

Section: Coarsening Of (001) Crystal Surfacesmentioning

confidence: 99%

“…The approach was inspired in part by theories of phase ordering processes such as the growth of domains in magnetic systems [20], assuming an underlying effective free energy that governs the film surface dynamics as in earlier work on epitaxial growth [21,22]. Indeed, the dynamics of surface-like elastic manifolds such as membranes are governed by an elastic free energy, exemplified in studies of the buckling dynamics of semi-flexible polymers and membranes [23,24]. However, since epitaxial growth has a number of specific features, no standard phase ordering theory seemed applicable, so our subsequent studies of epitaxial growth [25][26][27][28][29] reviewed in this article deliberately avoided the effective free energy assumption.…”

Section: Introductionmentioning

confidence: 99%

Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights

Golubović

Levandovsky

Moldovan

2011

East Asian J. Appl. Math.

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Abstract. We review recent theoretical progress in the physical understanding of far-from-equilibrium phenomena seen experimentally in epitaxial growth and erosion on crystal surfaces. The formation and dynamics of various interface structures (pyramids, ripples, etc.), and also kinetic phase transitions observed between these structures, can all be understood within a simple continuum model based on the mass conservation law and respecting the symmetries of the growing crystal surface. In particular, theoretical predictions and experimental results are compared for (001), (110) and (111) crystal surfaces. 81.15.Aa, 89.75.Kd, 05.90.+m PACS (2006):

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Buckling Dynamics of Compressed Thin Sheets (Membranes)

Cited by 44 publications

References 31 publications

Pattern Selection in Growing Tubular Tissues

Pattern Selection in Growing Tubular Tissues

Effects of Antimicrobial Peptide Revealed by Simulations: Translocation, Pore Formation, Membrane Corrugation and Euler Buckling

Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights

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