Radius evolution for bubbles with elastic shells
| Autor: | Haret Codratian Rosu, Stefan C. Mancas, Chun-Chung Hsieh |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics::Biological Physics
Numerical Analysis Materials science Applied Mathematics Bubble Elliptic function FOS: Physical sciences Bending Radius Mechanics Condensed Matter - Soft Condensed Matter Curvature Quantitative Biology - Quantitative Methods Square (algebra) Quantitative Biology::Cell Behavior Quantitative Biology::Subcellular Processes Membrane FOS: Biological sciences Modeling and Simulation Soft Condensed Matter (cond-mat.soft) Quantitative Methods (q-bio.QM) Envelope (waves) |
| Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 103:106003 |
| ISSN: | 1007-5704 |
| DOI: | 10.1016/j.cnsns.2021.106003 |
| Popis: | 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. 11 pages, 6 figures with subfigures, published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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