73 citations · 208 across the 24 of their papers we have counts for
24 papers
A phase field model for droplets suspended in viscous liquids under the influence of electric fields
Yuzhe Qin, Huaxiong Huang, Zilong Song +1
In this paper, we propose a Poisson-Nernst-Planck-Navier-Stokes-Cahn-Hillard (PNP-NS-CH)model for an electrically charged droplet suspended in a viscous fluid subjected to an exter…
Coupled Chemical Reactions: Effects of Electric Field, Diffusion and Boundary Control
Shixin Xu, Robert Eisenberg, Zilong Song +1
Chemical reactions involve the movement of charges, and this work presents a mathematical model for describing chemical reactions in electrolytes. The model is developed using an e…
Mathematical Model for Chemical Reactions in Electrolyte Applied to Cytochrome Oxidase: an Electro-osmotic Approach
Shixin Xu, Robert Eisenberg, Zilong Song +1
A mathematical model for chemical reactions in electrolytes is developed using an Energy variational method consistent with classical thermodynamics. Electrostatics and chemical re…
Thermodynamically Consistent Diffuse Interface Model for Cell Adhesion and Aggregation
Lingyue Shen, Ping Lin, Zhiliang Xu +1
A thermodynamically consistent phase-field model is introduced for simulating multicellular deformation, and aggregation under flow conditions. In particular, a Lennard-Jones type…
A Bubble Model for the Gating of Kv Channels
Zilong Song, Robert Eisenberg, Shixin Xu +1
Voltage-gated Kv channels play fundamental roles in many biological processes, such as the generation of the action potential. The gating mechanism of Kv channels is characterized…
A Level Set Method for the Simulation of Moving Contact Lines in Three Dimensions
Quan Zhao, Shixin Xu, Weiqing Ren
We propose an efficient numerical method for the simulation of multi-phase flows with moving contact lines in three dimensions. The mathematical model consists of the incompressibl…
Multi-objective optimization and explanation for stroke risk assessment in Shanxi province
Jing Ma, Yiyang Sun, Junjie Liu +3
Stroke is the top leading causes of death in China (Zhou et al. The Lancet 2019). A dataset from Shanxi Province is used to identify the risk of each patient's at four states low/m…
Membranes in Optic Nerve Models
Yi Zhu, Shixin Xu, Robert S. Eisenberg +1
Membranes are present in all cells and tissues. Mathematical models of cells and tissues need a compact mathematical description of membranes with a resolution of about 1 nm. Membr…
Analysis and classification of main risk factors causing stroke in Shanxi Province
Junjie Liu, Yiyang Sun, Jing Ma +6
In China, stroke is the first leading cause of death in recent years. It is a major cause of long-term physical and cognitive impairment, which bring great pressure on the National…
A phase field model for mass transport with semi-permeable interfaces
Yuzhe Qin, Huaxiong Huang, Yi Zhu +2
In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted…
Homogenization Theory of Ion Transportation in Multicellular Tissue
Chun Xiao, Xingye Yue, Huaxiong Huang +1
Ion transport in biological tissues is crucial in the study of many biological and pathological problems. Some multi-cellular structures, like smooth muscles on the vessel walls, c…
Optic Nerve Microcirculation: Fluid Flow and Electrodiffusion
Yi Zhu, Shixin Xu, Robert S. Eisenberg +1
Complex fluids flow in complex ways in complex structures. Transport of water and various organic and inorganic molecules in the central nervous system are important in a wide rang…
An Energy Stable C0 Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation
Lingyue Shen, Zhiliang Xu, Ping Lin +2
A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip bound…
A Tridomain Model for Potassium Clearance in Optic Nerve of Necturus
Yi Zhu, Shixin Xu, Robert S. Eisenberg +1
The accumulation of potassium in the narrow space outside nerve cells is a classical subject of biophysics that has received much attention recently. It may be involved in potassiu…
Neural-PDE: A RNN based neural network for solving time dependent PDEs
Yihao Hu, Tong Zhao, Shixin Xu +2
Partial differential equations (PDEs) play a crucial role in studying a vast number of problems in science and engineering. Numerically solving nonlinear and/or high-dimensional PD…
Numerical Method for Parameter Inference of Nonlinear ODEs with Partial Observations
Yu Chen, Jin Cheng, Arvind Gupta +2
Parameter inference of dynamical systems is a challenging task faced by many researchers and practitioners across various fields. In many applications, it is common that only limit…
An energy stable finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
Lingyue Shen, Huaxiong Huang, Ping Lin +2
In this paper, we focus on modeling and simulation of two-phase flow with moving contact lines and variable density. A thermodynamically consistent phase-field model with General N…
Non-Stokes Drag Coefficient in Single-Particle Electrophoresis: New Insights on a Classical Problem
Maijia Liao, Ming-Tzo Wei, Shixin Xu +2
We measured the intrinsic drag coefficient of a single charged particle by optically trapping the particle and applying an alternating electric field, and found it to be markedly d…
A Bidomain Model for Lens Microcirculation
Yi Zhu, Shixin Xu, Robert S. Eisenberg +1
There exists a large body of research on the lens of mammalian eye over the past several decades. The objective of the current work is to provide a link between the most recent com…
Osmosis through a Semi-permeable Membrane: a Consistent Approach to Interactions
Shixin Xu, Bob Eisenberg, Zilong Song +1
The movement of ionic solutions is an essential part of biology and technology. Fluidics, from nano- to micro- to microfluidics, is a burgeoning area of technology which is all abo…
The Poisson Boltzmann equation and the charge separation phenomenon at the silica-water interface: A holistic approach
Maijia Liao, Li Wan, Shixin Xu +2
The Poisson Boltzmann equation is known for its success in describing the Debye layer that arises from the charge separation phenomenon at the silica/water interface. However, by t…
Conversion of G-code programs for milling into STEP-NC
Shixin Xú, Nabil Anwer, Sylvain Lavernhe
STEP-NC (ISO 14649) is becoming a promising standard to replace or supplement the conventional G-code programs based on ISO 6983 due to its feature based machine independent charac…
Behavior of different numerical schemes for population genetic drift problems
Minxin Chen, Chun Liu, Shixin Xu +2
In this paper, we focus on numerical methods for the genetic drift problems, which is governed by a degenerated convection-dominated parabolic equation. Due to the degeneration and…
An Energetic Variational Approach for ion transport
Shixin Xu, Ping Sheng, Chun Liu
The transport and distribution of charged particles are crucial in the study of many physical and biological problems. In this paper, we employ an Energy Variational Approach to de…