Registered Data
Contents
- 1 [CT151]
- 1.1 [01039] A model of cerebrospinal fluid flow in the cranial subarachnoid space
- 1.2 [02506] Hydrodynamic hovering of swimming bacteria
- 1.3 [02544] Mathematical Study of Blood-Nano Fluid Flow through a Catheterized Flexible Stenotic Artery
- 1.4 [00978] Real-Time Krylov Theory for Quantum Computing Algorithms
- 1.5 [02024] Quantum asymptotic phase function on the basis of Koopman operator theory
[CT151]
[01039] A model of cerebrospinal fluid flow in the cranial subarachnoid space
- Session Date & Time : 3C (Aug.23, 13:20-15:00)
- Type : Contributed Talk
- Abstract : Cerebrospinal fluid fills the subarachnoid space (SAS), which covers the spinal cord and the brain. During the cardiac cycle, it pulsates due to time-varying brain displacements. In this work, we study oscillating and steady streaming flow in cranial SAS in order to understand the mixing processes and waste clearance. We develop a theoretical model of the flow using lubrication theory. The model suggests that steady streaming plays an important role in mixing.
- Classification : 76Z05
- Author(s) :
- Mariia Dvoriashyna (University of Oxord)
- Alain Goriely (University of Oxford)
[02506] Hydrodynamic hovering of swimming bacteria
- Session Date & Time : 3C (Aug.23, 13:20-15:00)
- Type : Contributed Talk
- Abstract : The 'hovering' of flagellated bacteria near a rigid surface, i.e. stable swimming at a finite separation, has been studied experimentally and computationally but remains poorly understood physically. We use boundary element simulations to confirm existing results and to reveal that an elongated, as opposed to spherical, cell body is essential for hovering. We then derive and asymptotically solve a simplified model for the swimming cell and its near-field wall interactions, thereby elucidating the dominant physics.
- Classification : 76Z10, 92C17, 76M45
- Author(s) :
- Pyae Hein Htet (University of Cambridge)
- Debasish Das (University of Strathclyde)
- Eric Lauga (University of Cambridge)
[02544] Mathematical Study of Blood-Nano Fluid Flow through a Catheterized Flexible Stenotic Artery
- Session Date & Time : 3C (Aug.23, 13:20-15:00)
- Type : Contributed Talk
- Abstract : In this article, authors intend to investigate the hemodynamics of non-Newtonian nano-fluid moving through a flexible ω− shaped stenotic artery, subjected to catheterization. For treating the thrombosis in the artery, the outer surface of the catheter is layered with, drug coated nano-particles and is inserted into flow region of interest. Blood, rheologically being a complex fluid, is represented by micro-polar fluid for understanding the detailed hemodynamics. Due to the pumping action of the heart, blood vessel wall is considered to be flexible, which is realized by introducing the time parameter in the appropriate equation. Different slip velocities in the constricted and non-stenotic region are taken into account to for representing dysfunction of the blood vessel. The concerned mathematical model, governed by the coupled non-linear equations, are solved by utilizing the homotopy perturbation method (HPM). We explored the consequences of fluid parameters and also the embedded geometric parameters on the hemodynamic characteristics such as flow resistance and wall shear stress. We also analyzed the cardiac time effects on the flow parameters. It is concluded that high wall shear stress is observed in the constricted portion of the artery than that of the nonconstricted region. Also, we observed that, the flow resistance is more at the catheter surface as compared to that at the arterial surface.
- Classification : 76Zxx, 92C10, 92C35
- Author(s) :
- Srikanth Dasari (DIAT(DU))
- Surabhi Rathore (Kyoto University)
[00978] Real-Time Krylov Theory for Quantum Computing Algorithms
- Session Date & Time : 3C (Aug.23, 13:20-15:00)
- Type : Contributed Talk
- Abstract : Here we describe the variational quantum phase estimation (VQPE) method, a compact and efficient real-time subspace algorithm to extract eigenvalues using quantum hardware. We theoretically and numerically explore a generalized Krylov scheme where the Krylov subspace is constructed through a parametrized real-time evolution, applicable to the VQPE algorithm as well as others. We discuss its application to fundamental problems in quantum computation such as electronic structure predictions for strongly correlated systems.
- Classification : 81-08, 81-10
- Author(s) :
- Katherine Klymko
- Yizhi Shen (Massachusetts Institute of Technology )
- Norm Tubman (NASA)
[02024] Quantum asymptotic phase function on the basis of Koopman operator theory
- Session Date & Time : 3C (Aug.23, 13:20-15:00)
- Type : Contributed Talk
- Abstract : The asymptotic phase function is a fundamental quantity for analyzing classical limit-cycle oscillators. In this study, we define the asymptotic phase function for quantum nonlinear oscillators by using the eigenoperator of the Koopman operator associated with the fundamental oscillation frequency. In an example of a quantum van der Pol oscillator with a Kerr effect, we demonstrate that the proposed asymptotic phase appropriately yields isochronous phase values in both semiclassical and strong quantum regimes.
- Classification : 81-XX, 34L05, 92B25, Quantum synchronization, nonlinear dynamics, Koopman operator theory
- Author(s) :
- Yuzuru Kato (Future University Hakodate)
- Hiroya Nakao (Tokyo Institute of Technology)