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An efficient computational approach for imaging binary-type physical properties suitable for various models in biomedical applications is developed and validated. The proposed methodology includes gradient-based multiscale optimization with…

Optimization and Control · Mathematics 2024-01-30 Maria M. F. M. Chun , Briana L. Edwards , Vladislav Bukshtynov

In biomedical engineering, earthquake prediction, and underground energy harvesting, it is crucial to indirectly estimate the physical properties of porous media since the direct measurement of those are usually impractical/prohibitive.…

Computational Physics · Physics 2020-05-21 Teeratorn Kadeethum , Thomas M Jørgensen , Hamidreza M Nick

A thermodynamically consistent particle-based model for fluid dynamics with continuous velocities and a non-ideal equation of state is presented. Excluded volume interactions are modeled by means of biased stochastic multiparticle…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

Of interest is the characterization of a cancellous bone immersed in an acoustic fluid. The bone is placed between an ultrasonic point source and a receiver. Cancellous bone is regarded as a porous medium saturated with fluid according to…

Numerical Analysis · Mathematics 2018-02-05 Miguel Angel Moreles , Jose Angel Neria , Joaquin Peña

This paper reports on the derivation and implementation of a shape optimization procedure for the minimization of hemolysis induction in biomedical devices. Hemolysis is a blood damaging phenomenon that may occur in mechanical…

Fluid Dynamics · Physics 2021-01-27 Georgios Bletsos , Niklas Kühl , Thomas Rung

We discuss a unified approach to stochastic optimization of pseudo-Boolean objective functions based on particle methods, including the cross-entropy method and simulated annealing as special cases. We point out the need for auxiliary…

Computation · Statistics 2012-04-09 Christian Schäfer

We consider a non-linear extension of Biot's model for poromechanics, wherein both the fluid flow and mechanical deformation are allowed to be non-linear. We perform an implicit discretization in time (backward Euler) and propose two…

Numerical Analysis · Mathematics 2017-02-02 Manuel Borregales , Florin A. Radu , Kundan Kumar , Jan M. Nordbotten

Biot's theory provides a framework for computing seismic wavefields in fluid saturated porous media. Here we implement a velocity-stress staggered grid 2D finite difference algorithm to model the wave-propagation in poroelastic media. The…

Geophysics · Physics 2019-07-29 Janaki Vamaraju , Mrinal K. Sen

Parameterizing mathematical models of biological systems often requires fitting to stable periodic data. In cardiac electrophysiology this typically requires converging to a stable action potential through long simulations. We explore this…

Quantitative Methods · Quantitative Biology 2025-01-16 Matt J Owen , Gary R Mirams

A fundamental step in the rational design of vascular targeted particles is the firm adhesion at the blood vessel walls. Here, a combined Lattice Boltzmann Immersed Boundary model is presented for predicting the near wall dynamics of…

Fluid Dynamics · Physics 2018-08-07 A. Coclite , H. Mollica , S. Ranaldo , G. Pascazio , M. D. De Tullio , P. Decuzzi

We propose three semi-decoupled algorithms for efficiently solving a four-field thermoporoelastic model. The first two algorithms adopt a sequential strategy: at the initial time step, all variables are computed simultaneously using a…

Numerical Analysis · Mathematics 2025-12-02 Ziliang Li , Mingchao Cai , Jingzhi Li , Qiang Liu

Accurate deformable object manipulation (DOM) is essential for achieving autonomy in robotic surgery, where soft tissues are being displaced, stretched, and dissected. Many DOM methods can be powered by simulation, which ensures realistic…

Robotics · Computer Science 2024-05-31 Xiao Liang , Fei Liu , Yutong Zhang , Yuelei Li , Shan Lin , Michael Yip

The accurate, reliable and efficient numerical approximation of multi-physics processes in heterogeneous porous media with varying media coefficients that include fluid flow and structure interactions is of fundamental importance in energy,…

Numerical Analysis · Mathematics 2018-01-17 Uwe Köcher

This study addresses the challenge of simulating realistic particle systems by proposing a novel particle decomposition scheme that improves the parallel performance of surface resolved particle simulations. Realistic particle systems often…

Fluid Dynamics · Physics 2024-03-21 J. E. Marquardt , N. Hafen , M. J. Krause

We develop a Monte Carlo wave function algorithm for the quantum linear Boltzmann equation, a Markovian master equation describing the quantum motion of a test particle interacting with the particles of an environmental background gas. The…

Quantum Physics · Physics 2010-09-28 Marc Busse , Piotr Pietrulewicz , Heinz-Peter Breuer , Klaus Hornberger

Current studies about motor imagery based rehabilitation training systems for stroke subjects lack an appropriate analytic method, which can achieve a considerable classification accuracy, at the same time detects gradual changes of imagery…

Machine Learning · Statistics 2014-09-19 Hao Zhang , Liqing Zhang

This article proposes an efficient Bayesian inference for piecewise exponential hazard (PEH) models, which allow the effect of a covariate on the survival time to vary over time. The proposed inference methodology is based on a particle…

Computation · Statistics 2020-04-01 Parfait Munezero

Usually, clinicians assess the correct hemodynamic behavior and fetal well-being during the gestational age thanks to their professional expertise, with the support of some indices defined for Doppler fetal waveforms. Although this approach…

In this article, we propose a macro-micro (two-scale) mathematical model for describing the macroscopic swelling of a rubber foam caused by the microscopic absorption of some liquid. In our modeling approach, we suppose that the material…

Analysis of PDEs · Mathematics 2020-10-08 T. Aiki , NH. Kröger , A. Muntean

We present a new asymptotic strategy for general micro-macro models which analyze complex viscoelastic fluids governed by coupled multiscale dynamics. In such models, the elastic stress appearing in the macroscopic continuum equation is…

Mathematical Physics · Physics 2025-12-22 Xuenan Li , Chun Liu , Di Qi
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