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A unified stochastic SIR model driven by Lévy noise with time-dependency

Author(s): Easlick T; Sun W;

We propose a unified stochastic SIR model driven by Lévy noise. The model is structural enough to allow for time-dependency, nonlinearity, discontinuity, demography, and environmental disturbances. We present concise results on the existence and uniqueness ...

Article GUID: 39027117


Subharmonic resonance of phospholipid coated ultrasound contrast agent microbubbles

Author(s): Yusefi H; Helfield B;

Phospholipid encapsulated ultrasound contrast agents have proven to be a powerful addition in diagnostic imaging and show emerging applications in targeted therapy due to their resonant and nonlinear scattering. Microbubble response is affected by their int ...

Article GUID: 38217906


Nonlinear dynamic modeling and model-based AI-driven control of a magnetoactive soft continuum robot in a fluidic environment

Author(s): Moezi SA; Sedaghati R; Rakheja S;

In recent years, magnetoactive soft continuum robots (MSCRs) with multimodal locomotion capabilities have emerged for various biomedical applications. Developments in nonlinear dynamic models and effective control methods for MSCRs are deemed vital not only ...

Article GUID: 37932207


The experimental multi-arm pendulum on a cart: A benchmark system for chaos, learning, and control

Author(s): Kaheman K; Fasel U; Bramburger JJ; Strom B; Kutz JN; Brunton SL;

The single, double, and triple pendulum has served as an illustrative experimental benchmark system for scientists to study dynamical behavior for more than four centuries. The pendulum system exhibits a wide range of interesting behaviors, from simple harm ...

Article GUID: 37637793


The influence of inter-bubble spacing on the resonance response of ultrasound contrast agent microbubbles

Author(s): Yusefi H; Helfield B;

Ultrasound-driven microbubbles, typically between 1 and 8 µm in diameter, are resonant scatterers that are employed as diagnostic contrast agents and emerging as potentiators of targeted therapies. Microbubbles are administered in populations whereby their ...

Article GUID: 36223708


Cancer: A turbulence problem.

Author(s): Uthamacumaran A

Cancers are complex, adaptive ecosystems. They remain the leading cause of disease-related death among children in North America. As we approach computational oncology and Deep Learning Healthcare, our mathematical models of cancer dynamics must be revised. ...

Article GUID: 33142240


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