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Relevant bibliographies by topics / Helfrich energy

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Academic literature on the topic 'Helfrich energy'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Helfrich energy"

1

Blokhuis, E. M., and W. F. C. Sager. "Helfrich free energy for aggregation and adhesion." Journal of Chemical Physics 110, no. 6 (1999): 3148–52. http://dx.doi.org/10.1063/1.478190.

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Eichmann, Sascha. "Lower semicontinuity for the Helfrich problem." Annals of Global Analysis and Geometry 58, no. 2 (2020): 147–75. http://dx.doi.org/10.1007/s10455-020-09718-5.

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Abstract We minimise the Canham–Helfrich energy in the class of closed immersions with prescribed genus, surface area, and enclosed volume. Compactness is achieved in the class of oriented varifolds. The main result is a lower-semicontinuity estimate for the minimising sequence, which is in general false under varifold convergence by a counter example by Große-Brauckmann. The main argument involved is showing partial regularity of the limit. It entails comparing the Helfrich energy of the minimising sequence locally to that of a biharmonic graph. This idea is by Simon, but it cannot be directl

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Seguin, Brian, and Eliot Fried. "Microphysical derivation of the Canham–Helfrich free-energy density." Journal of Mathematical Biology 68, no. 3 (2013): 647–65. http://dx.doi.org/10.1007/s00285-013-0647-9.

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Capovilla, R., and J. Guven. "Helfrich–Canham bending energy as a constrained nonlinear sigma model." Journal of Physics A: Mathematical and General 38, no. 12 (2005): 2593–97. http://dx.doi.org/10.1088/0305-4470/38/12/004.

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Mondino, Andrea, and Christian Scharrer. "Existence and Regularity of Spheres Minimising the Canham–Helfrich Energy." Archive for Rational Mechanics and Analysis 236, no. 3 (2020): 1455–85. http://dx.doi.org/10.1007/s00205-020-01497-4.

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ZHOU, XIAOAN. "RENORMALIZATION OF BENDING RIGIDITY FOR THE MEMBRANE WITH FIXED DENSITY." International Journal of Modern Physics B 04, no. 13 (1990): 1975–82. http://dx.doi.org/10.1142/s0217979290000978.

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The renormalization of the bending rigidity for a membrane with constant density is reanalysed following a first-order form of the bending free energy model. The significance of the Xμ-field renormalization due to bending is first discussed. Our result confirms Helfrich and Forster's earlier calculations.

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Elliott, Charles M., Hans Fritz, and Graham Hobbs. "Small deformations of Helfrich energy minimising surfaces with applications to biomembranes." Mathematical Models and Methods in Applied Sciences 27, no. 08 (2017): 1547–86. http://dx.doi.org/10.1142/s0218202517500269.

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In this paper, we introduce a mathematical model for small deformations induced by external forces of closed surfaces that are minimisers of Helfrich-type energies. Our model is suitable for the study of deformations of cell membranes induced by the cytoskeleton. We describe the deformation of the surface as a graph over the undeformed surface. A new Lagrangian and the associated Euler–Lagrange equations for the height function of the graph are derived. This is the natural generalisation of the well-known linearisation in the Monge gauge for initially flat surfaces. We discuss energy perturbat

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Najdanovic, Marija. "Infinitesimal bending influence on the Willmore energy of curves." Filomat 29, no. 10 (2015): 2411–19. http://dx.doi.org/10.2298/fil1510411n.

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In this paper we study the change of the Willmore energy of curves, as a special case of so-called Helfrich energy, under infinitesimal bending determined by the stationarity of arc length. We examine the variation of the unit tangent, principal normal and binormal vector fields, the curvature and the torsion of the curve. We obtain an explicit formula for calculating the variation of the Willmore energy, as well as the Euler-Lagrange equations describing equilibrium. We find an infinitesimal bending field for a helix and compute the variation of its Willmore energy under such infinitesimal be

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Siegel, David P. "Inaccuracy of the Helfrich Equation for the Curvature Energy of Fusion Intermediates." Biophysical Journal 98, no. 3 (2010): 671a. http://dx.doi.org/10.1016/j.bpj.2009.12.3688.

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Gräser, Carsten, and Tobias Kies. "Discretization error estimates for penalty formulations of a linearized Canham–Helfrich-type energy." IMA Journal of Numerical Analysis 39, no. 2 (2018): 626–49. http://dx.doi.org/10.1093/imanum/drx071.

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Dissertations / Theses on the topic "Helfrich energy"

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Paroor, Harsha Mohan [Verfasser]. "Microemulsion: prediction of the phase diagram with a modified Helfrich free energy / Harsha Mohan Paroor." Mainz : Universitätsbibliothek Mainz, 2012. http://d-nb.info/1025476492/34.

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Tasso, Italo Valença Mariotti. "Simulação de membranas viscosas." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-03102013-164608/.

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A simulação computacional de membranas biológicas, em particular membranas formadas por bicamadas lipídicas, é uma área de grande interesse na atualidade. Enquanto simulações moleculares são bastante populares, a simulação na escala de uma célula inteira requer modelos baseados na mecânica dos meios contínuos. Essas membranas apresentam um comportamento de fluido viscoso incompressível bidimensional. Além disso, as formas de equilíbrio são bem explicadas pela energia de Canham-Helfrich, que depende da curvatura da membrana. Neste trabalho, um novo método de simulação de membranas viscosas, bas

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Laadhari, Aymen. "Modélisation numérique de la dynamique des globules rouges par la méthode des fonctions de niveau." Phd thesis, Université de Grenoble, 2011. http://tel.archives-ouvertes.fr/tel-00598251.

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Ce travail, à l'interface entre les mathématiques appliquées et la physique, s'articule autour de la modélisation numérique des vésicules biologiques, un modéle pour les globules rouges du sang. Pour cela, le modéle de Canham et Helfrich est adopté pour décrire le comportement des vésicules. La modélisation numérique utilise la méthode des fonctions de niveau dans un cadre éléments finis. Un nouvel algorithme de résolution numérique combinant une technique de multiplicateurs de Lagrange avec une adaptation automatique de maillages garantit la conservation exacte des volumes et des surfaces. Ce

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Mayer, Jürgen. "Investigation of the biophysical basis for cell organelle morphology." Master's thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-26600.

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It is known that fission yeast Schizosaccharomyces pombe maintains its nuclear envelope during mitosis and it undergoes an interesting shape change during cell division - from a spherical via an ellipsoidal and a peanut-like to a dumb-bell shape. However, the biomechanical system behind this amazing transformation is still not understood. What we know is, that the shape must change due to forces acting on the membrane surrounding the nucleus and the microtubule based mitotic spindle is thought to play a key role. To estimate the locations and directions of the forces, the shape of the nucleus

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Mayer, Jürgen. "Investigation of the biophysical basis for cell organelle morphology." Master's thesis, Max-Planck-Institut für Molekulare Zellbiologie und Genetik, 2008. https://tud.qucosa.de/id/qucosa%3A25225.

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It is known that fission yeast Schizosaccharomyces pombe maintains its nuclear envelope during mitosis and it undergoes an interesting shape change during cell division - from a spherical via an ellipsoidal and a peanut-like to a dumb-bell shape. However, the biomechanical system behind this amazing transformation is still not understood. What we know is, that the shape must change due to forces acting on the membrane surrounding the nucleus and the microtubule based mitotic spindle is thought to play a key role. To estimate the locations and directions of the forces, the shape of the nucleus

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6

Aland, Sebastian, Sabine Egerer, John Lowengrub, and Axel Voigt. "Diffuse interface models of locally inextensible vesicles in a viscous fluid." Elsevier, 2014. https://htw-dresden.qucosa.de/id/qucosa%3A32307.

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We present a new diffuse interface model for the dynamics of inextensible vesicles in a viscous fluid with inertial forces. A new feature of this work is the implementation of the local inextensibility condition in the diffuse interface context. Local inextensibility is enforced by using a local Lagrange multiplier, which provides the necessary tension force at the interface. We introduce a new equation for the local Lagrange multiplier whose solution essentially provides a harmonic extension of the multiplier off the interface while maintaining the local inextensibility constraint near the i

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Rodrigues, Diego Samuel. "Tratamento numérico da mecânica de interfaces lipídicas: modelagem e simulação." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-04042016-114915/.

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A mecânica celular jaz nas propriedades materiais da membrana plasmática, fundamentalmente uma bicamada fosfolipídica com espessura de dimensões moleculares. Além de forças elásticas, tal material bidimensional também experimenta tensões viscosas devido ao seu comportamento fluido (presumivelmente newtoniano) na direção tangencial. A despeito da notável concordância entre teoria e experimentos biofísicos sobre a geometria de membranas celulares, ainda não se faz presente um método computacional para simulação de sua (real) dinâmica viscosa governada pela lei de Boussinesq-Scriven. Assim sendo,

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Marth, Wieland. "Hydrodynamic Diffuse Interface Models for Cell Morphology and Motility." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-204651.

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In this thesis, we study mathematical models that describe the morphology of a generalized biological cell in equilibrium or under the influence of external forces. Within these models, the cell is considered as a thermodynamic system, where streaming effects in the cell bulk and the surrounding are coupled with a Helfrich-type model for the cell membrane. The governing evolution equations for the cell given in a continuum formulation are derived using an energy variation approach. Such two-phase flow problems that combine streaming effects with a free boundary problem that accounts for bendin

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Book chapters on the topic "Helfrich energy"

1

Seguin, Brian, and Eliot Fried. "Calculating the Bending Moduli of the Canham–Helfrich Free-Energy Density." In Differential Geometry and Continuum Mechanics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18573-6_12.

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Ljunggren, Stig, and Jan Christer Eriksson. "Thermodynamics of Curved Interfaces in Relation to the Helfrich Curvature Free Energy Approach." In Surfactant Science. CRC Press, 2004. http://dx.doi.org/10.1201/9780203021262.ch10.

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3

"Thermodynamics of Curved Interfaces in Relation to the Helfrich Curvature Free Energy Approach." In Surface and Interfacial Tension. CRC Press, 2004. http://dx.doi.org/10.1201/9780203021262-163.

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