Nonlinear dynamics and bifurcation structure of ultrasonically excited lipid coated microbubbles

Sojahrood, Amin Jafari; Haghi, Hossein; Karshafian, Raffi; Kolios, Michael C.

doi:10.1016/j.ultsonch.2020.105405

Cited by 33 publications

(35 citation statements)

References 108 publications

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“…It has demonstrated that the qualitative and quantitative changes of the nonlinear dynamics could be investigated effectively over a wide range of control parameters [43] , [45] , [46] , [47] , [48] , [49] . However, the conventional bifurcation analysis may be misleading and cannot reliably identify features that are responsible for the identification of super-harmonic and ultra-harmonic oscillations [43] , [50] , [51] , [52] , [53] . Thus, a more comprehensive bifurcation analysis method was used herein to investigate the nonlinear dynamics of the coupled two-bubble system for a wide range of control parameters as described previously [43] , [50] , [51] , [52] , [53] .…”

Section: Theory and Methodsmentioning

confidence: 99%

“…However, the conventional bifurcation analysis may be misleading and cannot reliably identify features that are responsible for the identification of super-harmonic and ultra-harmonic oscillations [43] , [50] , [51] , [52] , [53] . Thus, a more comprehensive bifurcation analysis method was used herein to investigate the nonlinear dynamics of the coupled two-bubble system for a wide range of control parameters as described previously [43] , [50] , [51] , [52] , [53] . Firstly, the conventional bifurcation analysis (i.e., Poincaré analysis) was employed by sampling the R(t) curves using a specific point in each driving period, which is expressed as [43] , [50] , [51] , [52] , [53] :

where P denotes the points in the bifurcation diagram.…”

Section: Theory and Methodsmentioning

confidence: 99%

“…Thus, a more comprehensive bifurcation analysis method was used herein to investigate the nonlinear dynamics of the coupled two-bubble system for a wide range of control parameters as described previously [43] , [50] , [51] , [52] , [53] . Firstly, the conventional bifurcation analysis (i.e., Poincaré analysis) was employed by sampling the R(t) curves using a specific point in each driving period, which is expressed as [43] , [50] , [51] , [52] , [53] :

where P denotes the points in the bifurcation diagram. Then, another bifurcation diagram by constructing points with the local maxima of the radial peaks Q was also used as follows [43] , [50] , [51] , [52] , [53] :

…”

Section: Theory and Methodsmentioning

confidence: 99%

“…Firstly, the conventional bifurcation analysis (i.e., Poincaré analysis) was employed by sampling the R(t) curves using a specific point in each driving period, which is expressed as [43] , [50] , [51] , [52] , [53] :

…”

Section: Theory and Methodsmentioning

confidence: 99%

See 3 more Smart Citations

Nonlinear dynamics and acoustic emissions of interacting cavitation bubbles in viscoelastic tissues

Qin

Zou

Lei

et al. 2021

Ultrasonics Sonochemistry

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Highlights The radial and translational motions of two interacting bubbles are studied. Bubble dynamics is analyzed by bifurcation structures and acoustic emission spectra. Small bubble is remarkably suppressed, while large bubble is slightly enlarged. Bubble−bubble interaction reduces the nonlinear dynamics and acoustic emissions. Viscoelasticity of the medium reduces the radial and translational bubble motions.

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Section: Theory and Methodsmentioning

confidence: 99%

where P denotes the points in the bifurcation diagram.…”

Section: Theory and Methodsmentioning

confidence: 99%

…”

Section: Theory and Methodsmentioning

confidence: 99%

…”

Section: Theory and Methodsmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear dynamics and acoustic emissions of interacting cavitation bubbles in viscoelastic tissues

Qin

Zou

Lei

et al. 2021

Ultrasonics Sonochemistry

View full text Add to dashboard Cite

show abstract

“…These oscillating bubbles show highly nonlinear behaviour [6] , [7] , [8] , [9] , [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] . Several studies applied the methods of nonlinear science to investigate this nonlinear behaviour of bubbles [18] , [19] , [20] , [21] , [22] , [23] . Depending on the frequency and the intensity of the excitation, the bubbles may exhibit various kind of oscillations, e.g., periodic or chaotic.…”

Section: Introductionmentioning

confidence: 99%

GPU accelerated numerical investigation of the spherical stability of an acoustic cavitation bubble excited by dual-frequency

Klapcsik

2021

Ultrasonics Sonochemistry

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The spherical stability of an acoustic cavitation bubble under dual-frequency excitation is investigated numerically. The radial dynamics is described by the Keller–Miksis equation, which is a second-order ordinary differential equation. The surface dynamics is modelled by a set of linear ordinary differential equation according to Hao and Prosperetti (1999), which takes into account the effect of vorticity by boundary layer approximation. Due to the large amount of investigated parameter combinations, the numerical computations were carried out on graphics processing units. The results showed that for bubble size between and , the combination of a low and a high frequency, and the combination of two close but not equal frequencies are important to prevent the bubble losing its shape stability, while reaching the chemical threshold ( ) (Kalmár et al., 2020). The phase shift between harmonic components of dual-frequency excitation has no effect on the shape stability.

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Nonlinear ultrasound in liquid containing multiple coated microbubbles: effect of buckling and rupture of viscoelastic shell on ultrasound propagation

Nguyen

Kanagawa

2023

Nonlinear Dyn

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With promising applications in medical diagnosis and therapy, the behavior of shell-encapsula-ted ultrasound contrast agents (UCAs) has attracted considerable attention. Currently, second-generation contrast agents stabilized by a phospholipid membrane are widely used and studies have focused on the dynamics of single phospholipid shell-encapsulated microbubbles. To improve the safety and the efficiency of the methods using the propagation or targeted ultrasound, a better understanding of the propagation of ultrasound in liquids containing multiple encapsulated microbubbles is required. By incorporating the Marmottant–Gompertz model into the multiple scale analysis of two-phase model, this study derived a Korteweg–de Vries–Burgers equation as a weakly nonlinear wave equation for one-dimensional ultrasound in bubbly liquids. It was found that the wave propagation characteristics changed with the initial surface tension, highlighting two notable features of the phospholipid shell: buckling and rupture. These results may provide insights into the suitable state of microbubbles, and better control of ultrasound for medical applications, particularly those that require high precision.

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Nonlinear dynamics and bifurcation structure of ultrasonically excited lipid coated microbubbles

Cited by 33 publications

References 108 publications

Nonlinear dynamics and acoustic emissions of interacting cavitation bubbles in viscoelastic tissues

Nonlinear dynamics and acoustic emissions of interacting cavitation bubbles in viscoelastic tissues

GPU accelerated numerical investigation of the spherical stability of an acoustic cavitation bubble excited by dual-frequency

Nonlinear ultrasound in liquid containing multiple coated microbubbles: effect of buckling and rupture of viscoelastic shell on ultrasound propagation

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