Analysis of a model microswimmer with applications to blebbing cells and mini-robots

Journal of Mathematical Biology
Qixuan Wang, Hans G Othmer

Abstract

Recent research has shown that motile cells can adapt their mode of propulsion depending on the environment in which they find themselves. One mode is swimming by blebbing or other shape changes, and in this paper we analyze a class of models for movement of cells by blebbing and of nano-robots in a viscous fluid at low Reynolds number. At the level of individuals, the shape changes comprise volume exchanges between connected spheres that can control their separation, which are simple enough that significant analytical results can be obtained. Our goal is to understand how the efficiency of movement depends on the amplitude and period of the volume exchanges when the spheres approach closely during a cycle. Previous analyses were predicated on wide separation, and we show that the speed increases significantly as the separation decreases due to the strong hydrodynamic interactions between spheres in close proximity. The scallop theorem asserts that at least two degrees of freedom are needed to produce net motion in a cyclic sequence of shape changes, and we show that these degrees can reside in different swimmers whose collective motion is studied. We also show that different combinations of mode sharing can lead to significant...Continue Reading

References

Nov 4, 1996·Physical Review Letters·H A Stone, A D Samuel
Oct 6, 2000·Physical Review Letters·X L Wu, A Libchaber
May 2, 2003·Nature Reviews. Cancer·Peter Friedl, Katarina Wolf
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ali Najafi, Ramin Golestanian
May 3, 2008·Nature·Tim LämmermannMichael Sixt
Jun 11, 2008·The Journal of Cell Biology·Oliver T Fackler, Robert Grosse
Jul 17, 2008·Nature Reviews. Molecular Cell Biology·Guillaume Charras, Ewa Paluch
Jul 23, 2008·Physical Review Letters·Patrick T UnderhillMichael D Graham
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eric Lauga, Denis Bartolo
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrey SokolovIgor S Aranson
Nov 17, 2009·Nature Cell Biology·Jörg RenkawitzMichael Sixt
Mar 20, 2010·Molecular BioSystems·Fabien BinaméUrszula Hibner
Apr 7, 2010·Physical Review Letters·Kyriacos C LeptosRaymond E Goldstein
Jun 11, 2010·Proceedings of the National Academy of Sciences of the United States of America·Nicholas P Barry, Mark S Bretscher
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Takuji IshikawaT J Pedley
Jan 15, 2011·Physical Review Letters·Ilia RushkinRaymond E Goldstein
Feb 25, 2011·Journal of the Royal Society, Interface·Irwin M ZaidJulia M Yeomans
Mar 17, 2011·Physical Review Letters·Gastón MiñoEric Clement
May 25, 2011·Mutation Research·Franziska van ZijlWolfgang Mikulits
Jun 11, 2011·Proceedings of the National Academy of Sciences of the United States of America·Hüseyin KurtulduJ P Gollub
May 20, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·G P AlexanderJ M Yeomans
Nov 19, 2011·PloS One·Peter J M Van Haastert
Nov 29, 2011·Cell·Peter Friedl, Stephanie Alexander
Jul 13, 2012·Proceedings of the National Academy of Sciences of the United States of America·Martin BergertEwa Paluch
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mark P Curtis, Eamonn A Gaffney
Mar 13, 2014·The Journal of Cell Biology·Evgeny ZatulovskiyRobert R Kay
Nov 5, 2014·Nature Communications·Tian QiuPeer Fischer
Feb 14, 2015·Cell·Matthew D Welch
Feb 14, 2015·Cell·Verena RuprechtCarl-Philipp Heisenberg
Apr 29, 2015·Reports on Progress in Physics·J ElgetiG Gompper
Sep 13, 2015·Journal of Mathematical Biology·Qixuan Wang, Hans G Othmer
Jan 19, 2016·Mathematical Biosciences and Engineering : MBE·Qixuan Wang, Hans G Othmer

❮ Previous
Next ❯

Citations

Jul 4, 2020·Bioinspiration & Biomimetics·Oliver SilverbergIsmail Emre Araci

❮ 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

Mathematical Biosciences and Engineering : MBE
Qixuan Wang, Hans G Othmer
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Piero Olla
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Emiliya Gutman, Yizhar Or
© 2022 Meta ULC. All rights reserved