Geometric Methods In The Elastic Theory Of Membranes In Liquid Crystal Phases

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Geometric Methods In The Elastic Theory Of Membranes In Liquid Crystal Phases

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Author : Zhong-Can Ou-Yang
language : en
Publisher: World Scientific
Release Date : 1999

Geometric Methods In The Elastic Theory Of Membranes In Liquid Crystal Phases written by Zhong-Can Ou-Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Science categories.

This book contains a comprehensive description of the mechanical equilibrium and deformation of membranes as a surface problem in differential geometry. Following the pioneering work by W Helfrich, the fluid membrane is seen as a nematic or smectic ? A liquid crystal film and its elastic energy form is deduced exactly from the curvature elastic theory of the liquid crystals. With surface variation the minimization of the energy at fixed osmotical pressure and surface tension gives a completely new surface equation in geometry that involves potential interest in mathematics. The investigations of the rigorous solution of the equation that have been carried out in recent years by the authors and their co-workers are presented here, among which the torus and the discocyte (the normal shape of the human red blood cell) may attract attention in cell biology. Within the framework of our mathematical model by analogy with cholesteric liquid crystals, an extensive investigation is made of the formation of the helical structures in a tilted chiral lipid bilayer, which has now become a hot topic in the fields of soft matter and biomembranes.

Geometric Methods In Elastic Theory Of Membranes In Liquid Crystal Phases Second Edition

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Author : Zhanchun Tu
language : en
Publisher: World Scientific
Release Date : 2017-11-29

Geometric Methods In Elastic Theory Of Membranes In Liquid Crystal Phases Second Edition written by Zhanchun Tu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-29 with Science categories.

'The book is highly recommended as a reference for advanced graduate students and scholars involved in geometric analysis of membranes and other elastic surfaces. Valuable techniques may be learned from the book’s model constructions and sequential derivations and presentations of governing equations. Detailed analysis and solutions enable the reader with an increased understanding of the physical characteristics of membranes in liquid crystal phases such as their preferred shapes.'Contemporary PhysicsThis is the second edition of the book Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases published by World Scientific in 1999. This book gives a comprehensive treatment of the conditions of mechanical equilibrium and the deformation of membranes as a surface problem in differential geometry. It is aimed at readers engaging in the field of investigation of the shape formation of membranes in liquid crystalline state with differential geometry. The material chosen in this book is mainly limited to analytical results. The main changes in this second edition are: we add a chapter (Chapter 4) to explain how to calculate variational problems on a surface with a free edge by using a new mathematical tool — moving frame method and exterior differential forms — and how to derive the shape equation and boundary conditions for open lipid membranes through this new method. In addition, we include the recent concise work on chiral lipid membranes as a section in Chapter 5, and in Chapter 6 we mention some topics that we have not fully investigated but are also important to geometric theory of membrane elasticity.

Geometric Methods In Elastic Theory Of Membranes In Liquid Crystal Phases

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Author : Zhanchun Tu
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017

Geometric Methods In Elastic Theory Of Membranes In Liquid Crystal Phases written by Zhanchun Tu and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Science categories.

This is the second edition of the book Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases published by World Scientific in 1999. This book gives a comprehensive treatment of the conditions of mechanical equilibrium and the deformation of membranes as a surface problem in differential geometry. It is aimed at readers engaging in the field of investigation of the shape formation of membranes in liquid crystalline state with differential geometry. The material chosen in this book is mainly limited to analytical results. The main changes in this second edition are: we add a chapter (Chapter 4) to explain how to calculate variational problems on a surface with a free edge by using a new mathematical tool -- moving frame method and exterior differential forms -- and how to derive the shape equation and boundary conditions for open lipid membranes through this new method. In addition, we include the recent concise work on chiral lipid membranes as a section in Chapter 5, and in Chapter 6 we mention some topics that we have not fully investigated but are also important to geometric theory of membrane elasticity.

The Role Of Mechanics In The Study Of Lipid Bilayers

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Author : David J. Steigmann
language : en
Publisher: Springer
Release Date : 2017-05-23

The Role Of Mechanics In The Study Of Lipid Bilayers written by David J. Steigmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-23 with Science categories.

This book is the first collection of lipid-membrane research conducted by leading mechanicians and experts in continuum mechanics. It brings the overall intellectual framework afforded by modern continuum mechanics to bear on a host of challenging problems in lipid membrane physics. These include unique and authoritative treatments of differential geometry, shape elasticity, surface flow and diffusion, interleaf membrane friction, phase transitions, electroelasticity and flexoelectricity, and computational modelling.

Computational Modeling In Biomechanics

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Author : Suvranu De
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-10

Computational Modeling In Biomechanics written by Suvranu De and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-10 with Technology & Engineering categories.

Availability of advanced computational technology has fundamentally altered the investigative paradigm in the field of biomechanics. Armed with sophisticated computational tools, researchers are seeking answers to fundamental questions by exploring complex biomechanical phenomena at the molecular, cellular, tissue and organ levels. The computational armamentarium includes such diverse tools as the ab initio quantum mechanical and molecular dynamics methods at the atomistic scales and the finite element, boundary element, meshfree as well as immersed boundary and lattice-Boltzmann methods at the continuum scales. Multiscale methods that link various scales are also being developed. While most applications require forward analysis, e.g., finding deformations and stresses as a result of loading, others involve determination of constitutive parameters based on tissue imaging and inverse analysis. This book provides a glimpse of the diverse and important roles that modern computational technology is playing in various areas of biomechanics including biofluids and mass transfer, cardiovascular mechanics, musculoskeletal mechanics, soft tissue mechanics, and biomolecular mechanics.

Mathematical Analysis Probability And Applications Plenary Lectures

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Author : Tao Qian
language : en
Publisher: Springer
Release Date : 2016-08-25

Mathematical Analysis Probability And Applications Plenary Lectures written by Tao Qian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-25 with Mathematics categories.

This book collects lectures given by the plenary speakers at the 10th International ISAAC Congress, held in Macau, China in 2015. The contributions, authored by eminent specialists, present some of the most exciting recent developments in mathematical analysis, probability theory, and related applications. Topics include: partial differential equations in mathematical physics, Fourier analysis, probability and Brownian motion, numerical analysis, and reproducing kernels. The volume also presents a lecture on the visual exploration of complex functions using the domain coloring technique. Thanks to the accessible style used, readers only need a basic command of calculus.

Electrical And Geometrical Properties Of Organic Monolayers

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Author : Mitsumasa Iwamoto
language : en
Publisher: World Scientific
Release Date : 2024-12-13

Electrical And Geometrical Properties Of Organic Monolayers written by Mitsumasa Iwamoto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-13 with Science categories.

This book addresses the physical mechanisms involved in the characteristic electrical properties and the geometrical structures that are observed from dipolar monolayers composed of organic molecules by using dielectric physics, electrostatics, the physics of liquid crystal, and soft matter physics. The orientational order parameters, introduced to quantify the orientational structures of monolayers, guide us towards this goal. Dielectric polarizations are spontaneously generated from monolayers because of their orientational structures, and electrostatic energies due to these dielectric polarizations play a key role in forming the geometrical structures that are observed from monolayers. Free energy minimization is a powerful tool to understand the physical mechanisms that stabilize these geometrical structures because of the soft matter nature of monolayers. The approach using mathematical differential geometry method makes this book unique among the literatures of monolayers.

Looking Beyond The Frontiers Of Science Dedicated To The 80th Birthday Of Kk Phua

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Author : Lars Brink
language : en
Publisher: World Scientific
Release Date : 2022-07-25

Looking Beyond The Frontiers Of Science Dedicated To The 80th Birthday Of Kk Phua written by Lars Brink and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-25 with Science categories.

Professor Kok Khoo Phua is the Founding Director and Emeritus Professor of the Institute of Advanced Studies (IAS) at Nanyang Technological University (NTU) and Adjunct Professor of Department of Physics both at Nanyang Technological University (NTU) and National University of Singapore (NUS). He is the Chairman and Editor-in-Chief of World Scientific Publishing Co Pte Ltd.When he was elected a Fellow of the American Physical Society (APS) in 2009, the citation read: 'For tireless efforts to strengthen scientific research throughout Asia and promote international physics education and scholarly exchanges, and for enriching science and education through the World Scientific Publishing Company he founded.'This unique volume on the occasion of his 80th birthday is a compilation of tributes from his friends who have known him for decades along with scientific articles that celebrate his visionary approach to promote science worldwide.

Comprehensive Biophysics

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Author :
language : en
Publisher: Academic Press
Release Date : 2012-04-12

Comprehensive Biophysics written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-12 with Science categories.

Biophysics is a rapidly-evolving interdisciplinary science that applies theories and methods of the physical sciences to questions of biology. Biophysics encompasses many disciplines, including physics, chemistry, mathematics, biology, biochemistry, medicine, pharmacology, physiology, and neuroscience, and it is essential that scientists working in these varied fields are able to understand each other's research. Comprehensive Biophysics, Nine Volume Set will help bridge that communication gap. Written by a team of researchers at the forefront of their respective fields, under the guidance of Chief Editor Edward Egelman, Comprehensive Biophysics, Nine Volume Set provides definitive introductions to a broad array of topics, uniting different areas of biophysics research - from the physical techniques for studying macromolecular structure to protein folding, muscle and molecular motors, cell biophysics, bioenergetics and more. The result is this comprehensive scientific resource - a valuable tool both for helping researchers come to grips quickly with material from related biophysics fields outside their areas of expertise, and for reinforcing their existing knowledge. Biophysical research today encompasses many areas of biology. These studies do not necessarily share a unique identifying factor. This work unites the different areas of research and allows users, regardless of their background, to navigate through the most essential concepts with ease, saving them time and vastly improving their understanding The field of biophysics counts several journals that are directly and indirectly concerned with the field. There is no reference work that encompasses the entire field and unites the different areas of research through deep foundational reviews. Comprehensive Biophysics fills this vacuum, being a definitive work on biophysics. It will help users apply context to the diverse journal literature offering, and aid them in identifying areas for further research Chief Editor Edward Egelman (E-I-C, Biophysical Journal) has assembled an impressive, world-class team of Volume Editors and Contributing Authors. Each chapter has been painstakingly reviewed and checked for consistent high quality. The result is an authoritative overview which ties the literature together and provides the user with a reliable background information and citation resource

Membrane Shape And Biological Function

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Author : José Carlos Bozelli Jr
language : en
Publisher: CRC Press
Release Date : 2025-05-26

Membrane Shape And Biological Function written by José Carlos Bozelli Jr and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-26 with Science categories.

Membrane Shape and Biological Function is an important guide for anyone interested in the dynamic world of biological membranes. The book explores how membrane shape influences crucial biological processes and highlights its practical applications. It delves into the mechanics of lipid bilayers, their role in cellular processes, and computational methods for understanding membrane remodeling, including real-world applications such as the Golgi apparatus' structure and function, the role of inositol phospholipids in cellular organization, membrane fusion in cell biology, and the potential of lipid bilayers in neuromorphic computing. This comprehensive resource is valuable for students, researchers, and anyone curious about membrane biology.