Fractional hereditariness of lipid membranes: Instabilities and linearized evolution

Journal of the Mechanical Behavior of Biomedical Materials
L DeseriK Dayal

Abstract

In this work lipid ordering phase changes arising in planar membrane bilayers is investigated both accounting for elasticity alone and for effective viscoelastic response of such assemblies. The mechanical response of such membranes is studied by minimizing the Gibbs free energy which penalizes perturbations of the changes of areal stretch and their gradients only (Deseri and Zurlo, 2013). As material instabilities arise whenever areal stretches characterizing homogeneous configurations lie inside the spinoidal zone of the free energy density, bifurcations from such configurations are shown to occur as oscillatory perturbations of the in-plane displacement. Experimental observations (Espinosa et al., 2011) show a power-law in-plane viscous behavior of lipid structures allowing for an effective viscoelastic behavior of lipid membranes, which falls in the framework of Fractional Hereditariness. A suitable generalization of the variational principle invoked for the elasticity is applied in this case, and the corresponding Euler-Lagrange equation is found together with a set of boundary and initial conditions. Separation of variables allows for showing how Fractional Hereditariness owes bifurcated modes with a larger number of spat...Continue Reading

References

Apr 1, 1978·Proceedings of the National Academy of Sciences of the United States of America·J C OwickiH M McConnell
Oct 1, 1979·Proceedings of the National Academy of Sciences of the United States of America·J C Owicki, H M McConnell
May 23, 1977·Journal of Mathematical Biology·J T Jenkins
Nov 1, 1973·Zeitschrift Für Naturforschung. Teil C: Biochemie, Biophysik, Biologie, Virologie·W Helfrich
Sep 1, 1996·Biophysical Journal·F Jähnig
Jul 15, 1989·Physical Review A: General Physics·R E Goldstein, S Leibler
Jun 27, 2000·Biophysical Journal·W RawiczE Evans
Jul 26, 2002·Journal of Mathematical Biology·Paolo BiscariRiccardo Rosso
Mar 19, 2005·Langmuir : the ACS Journal of Surfaces and Colloids·H BermúdezD E Discher
May 17, 2005·Biophysical Journal·T BaumgartJ T Jenkins
Jun 1, 1982·Proceedings of the National Academy of Sciences of the United States of America·M S FalkovitzH M McConnell
Jul 26, 2006·Langmuir : the ACS Journal of Surfaces and Colloids·S KomuraD Andelman
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Davood NorouziMarkus Deserno
Aug 23, 2008·The Journal of Physical Chemistry. B·Sovan DasTobias Baumgart
Nov 14, 2008·Biomechanics and Modeling in Mechanobiology·Ashutosh Agrawal, David J Steigmann
Oct 2, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jianjun PanJohn F Nagle
Oct 27, 2010·Proceedings of the National Academy of Sciences of the United States of America·Christopher W HarlandRaghuveer Parthasarathy
Mar 30, 2011·Proceedings of the National Academy of Sciences of the United States of America·Gabriel EspinosaDominique Langevin
Mar 30, 2012·Biophysical Journal·Mingyang HuMarkus Deserno
Dec 12, 2012·Biomechanics and Modeling in Mechanobiology·Mohsen MalekiEliot Fried
Mar 6, 2013·Biomechanics and Modeling in Mechanobiology·Luca Deseri, Giuseppe Zurlo
Mar 17, 2015·Proceedings of the National Academy of Sciences of the United States of America·Nikhil WalaniAshutosh Agrawal
Apr 1, 2002·The European Physical Journal. E, Soft Matter·P Biscari, F Bisi

❮ Previous
Next ❯

Citations

Feb 28, 2018·Pharmaceutical Research·Janneke Keemink, Christel A S Bergström
Sep 3, 2017·The Journal of Chemical Physics·M Mert Terzi, Markus Deserno

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Pak Yuen Chan, Nigel Goldenfeld
IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
M C Dokmeci
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
Benoît Perthame, Nicolas Vauchelet
© 2022 Meta ULC. All rights reserved