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 37 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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Nanobubble Contrast Enhanced Ultrasound Imaging: A Review

Wegierak,

Nittayacharn,

Cooley

et al. 2024

WIREs Nanomed Nanobiotechnol

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Contrast‐enhanced ultrasound is currently used worldwide with clinical indications in cardiology and radiology, and it continues to evolve and develop through innovative technological advancements. Clinically utilized contrast agents for ultrasound consist of hydrophobic gas microbubbles stabilized with a biocompatible shell. These agents are used commonly in echocardiography, with emerging applications in cancer diagnosis and therapy. Microbubbles are a blood pool agent with diameters between 1 and 10 μm, which precludes their use in other extravascular applications. To expand the potential use of contrast‐enhanced ultrasound beyond intravascular applications, sub‐micron agents, often called nanobubbles or ultra‐fine bubbles, have recently emerged as a promising tool. Combining the principles of ultrasound imaging with the unique properties of nanobubbles (high concentration and small size), recent work has established their imaging potential. Contrast‐enhanced ultrasound imaging using these agents continues to gain traction, with new studies establishing novel imaging applications. We highlight the recent achievements in nonlinear nanobubble contrast imaging, including a discussion on nanobubble formulations and their acoustic characteristics. Ultrasound imaging with nanobubbles is still in its early stages, but it has shown great potential in preclinical research and animal studies. We highlight unexplored areas of research where the capabilities of nanobubbles may offer new advantages. As technology advances, this technique may find applications in various areas of medicine, including cancer detection and treatment, cardiovascular imaging, and drug delivery.

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Nonlinear dynamics and bifurcation structure of ultrasonically excited lipid coated microbubbles

Cited by 37 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

Nanobubble Contrast Enhanced Ultrasound Imaging: A Review

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