Radius evolution for bubbles with elastic shells

S. C. Mancas; Haret C Rosu; Chun-Chung Hsieh; Stefani Mancas

doi:10.1016/j.cnsns.2021.106003

Radius evolution for bubbles with elastic shells

S. C. Mancas, Haret C Rosu, Chun-Chung Hsieh, Stefani Mancas

Research output: Contribution to journal › Article › peer-review

Abstract

We present an analysis of an extended Rayleigh–Plesset (RP) equation for a three dimensional cell of microorganisms such as bacteria or viruses in some liquid, where the cell membrane in bacteria or the envelope (capsid) in viruses possess elastic properties . To account for rapid changes in the shape configuration of such microorganisms, the bubble membrane/envelope must be rigid to resist large pressures while being flexible to adapt to growth or decay. Such properties are embedded in the RP equation by including a pressure bending term that is proportional to the square of the curvature of the elastic wall. Analytical solutions to this extended equation are obtained in terms of elliptic functions .

Original language	American English
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	103
DOIs	https://doi.org/10.1016/j.cnsns.2021.106003
State	Published - Dec 1 2021

Keywords

Rayleigh–Plesset (RP) equation
bacteria
viruses
microorganisms
elliptic functions

Disciplines

Medicine and Health Sciences
Physical Sciences and Mathematics

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10.1016/j.cnsns.2021.106003License: Unspecified

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title = "Radius evolution for bubbles with elastic shells",

abstract = " We present an analysis of an extended Rayleigh–Plesset (RP) equation for a three dimensional cell of microorganisms such as bacteria or viruses in some liquid, where the cell membrane in bacteria or the envelope (capsid) in viruses possess elastic properties . To account for rapid changes in the shape configuration of such microorganisms, the bubble membrane/envelope must be rigid to resist large pressures while being flexible to adapt to growth or decay. Such properties are embedded in the RP equation by including a pressure bending term that is proportional to the square of the curvature of the elastic wall. Analytical solutions to this extended equation are obtained in terms of elliptic functions . ",

keywords = "Rayleigh–Plesset (RP) equation, bacteria, viruses, microorganisms, elliptic functions",

author = "Mancas, {S. C.} and Rosu, {Haret C} and Chun-Chung Hsieh and Stefani Mancas",

year = "2021",

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day = "1",

doi = "10.1016/j.cnsns.2021.106003",

language = "American English",

volume = "103",

journal = "Communications in Nonlinear Science and Numerical Simulation",

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T1 - Radius evolution for bubbles with elastic shells

AU - Mancas, S. C.

AU - Rosu, Haret C

AU - Hsieh, Chun-Chung

AU - Mancas, Stefani

PY - 2021/12/1

Y1 - 2021/12/1

N2 - We present an analysis of an extended Rayleigh–Plesset (RP) equation for a three dimensional cell of microorganisms such as bacteria or viruses in some liquid, where the cell membrane in bacteria or the envelope (capsid) in viruses possess elastic properties . To account for rapid changes in the shape configuration of such microorganisms, the bubble membrane/envelope must be rigid to resist large pressures while being flexible to adapt to growth or decay. Such properties are embedded in the RP equation by including a pressure bending term that is proportional to the square of the curvature of the elastic wall. Analytical solutions to this extended equation are obtained in terms of elliptic functions .

AB - We present an analysis of an extended Rayleigh–Plesset (RP) equation for a three dimensional cell of microorganisms such as bacteria or viruses in some liquid, where the cell membrane in bacteria or the envelope (capsid) in viruses possess elastic properties . To account for rapid changes in the shape configuration of such microorganisms, the bubble membrane/envelope must be rigid to resist large pressures while being flexible to adapt to growth or decay. Such properties are embedded in the RP equation by including a pressure bending term that is proportional to the square of the curvature of the elastic wall. Analytical solutions to this extended equation are obtained in terms of elliptic functions .

KW - Rayleigh–Plesset (RP) equation

KW - bacteria

KW - viruses

KW - microorganisms

KW - elliptic functions

UR - https://www.sciencedirect.com/science/article/abs/pii/S1007570421003154?via%3Dihub#!

U2 - 10.1016/j.cnsns.2021.106003

DO - 10.1016/j.cnsns.2021.106003

M3 - Article

SN - 1878-7274

VL - 103

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

ER -

Radius evolution for bubbles with elastic shells

Abstract

Keywords

Disciplines

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