1.2k citations · 2.2k across the 33 of their papers we have counts for
34 papers
An Efficient Constant-Coefficient MSAV Scheme for Computing Vesicle Growth and Shrinkage
Zhiwei Zhang, Shuwang Li, John Lowengrub +1
We present a fast, unconditionally energy-stable numerical scheme for simulating vesicle deformation under osmotic pressure using a phase-field approach. The model couples an Allen…
Membrane Heterogeneity Driven Dynamics of Multicomponent Vesicles in Shear Flow
Shuqi Tang, Steven M. Wise, John Lowengrub +1
Despite their significance in biology and materials science, the dynamics of multicomponent vesicles under shear flow remain poorly understood because of their nonlinear and strong…
Chemomechanical regulation of growing tissues from a thermodynamically-consistent framework and its application to tumor spheroid growth
Nonthakorn Olaranont, Chaozhen Wei, John Lowengrub +1
It is widely recognized that reciprocal interactions between cells and their microenvironment, via mechanical forces and biochemical signaling pathways, regulate cell behaviors dur…
Phase field modeling and computation of vesicle growth or shrinkage
Xiaoxia Tang, Shuwang Li, John S. Lowengrub +1
We present a phase field model for vesicle growth or shrinkage induced by an osmotic pressure due to a chemical potential gradient. The model consists of an Allen-Cahn equation des…
Numerical study on viscous fingering using electric fields in a Hele-Shaw cell
Meng Zhao, Pedro Anjos, John Lowengrub +2
We investigate the nonlinear dynamics of a moving interface in a Hele-Shaw cell subject to an in-plane applied electric field. We develop a spectrally accurate boundary integral me…
Electrically-controlled self-similar evolution of viscous fingering patterns in radial Hele-Shaw flows
Pedro H. A. Anjos, Meng Zhao, John Lowengrub +1
Time-dependent injection strategies are commonly employed to control the number of viscous fingers emerging at the interface separating two fluids during radial displacement in Hel…
Sharp-interface problem of the Ohta-Kawasaki model for symmetric diblock copolymers
Amlan K. Barua, Ray Chew, Shuwang Li +3
The Ohta-Kawasaki model for diblock-copolymers is well known to the scientific community of diffuse-interface methods. To accurately capture the long-time evolution of the moving i…
Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis
Min-Jhe Lu, Wenrui Hao, Chun Liu +2
In this paper, we develop a sharp interface tumor growth model in two dimensions to study the effect of both the intratumoral structure using a controlled necrotic core and the ext…
Controlling fingering instabilities in Hele-Shaw flows in the presence of wetting film effects
Pedro H. A. Anjos, M. Zhao, J. Lowengrub +2
In this paper, the interfacial motion between two immiscible viscous fluids in the confined geometry of a Hele-Shaw cell is studied. We consider the influence of a thin wetting fil…
Pattern formation of the three-layer Saffman-Taylor problem in a radial Hele-Shaw cell
M. Zhao, Pedro H. A. Anjos, J. Lowengrub +1
The three-layer Saffman-Taylor problem introduces two coupled moving interfaces separating the three fluids. A very recent weakly nonlinear analysis of this problem in a radial Hel…
A multi-scale model of virus pandemic: Heterogeneous interactive entities in a globally connected world
Nicola Bellomo, Richard Bingham, Mark A. J. Chaplain +6
This paper is devoted to the multidisciplinary modelling of a pandemic initiated by an aggressive virus, specifically the so-called \textit{SARS--CoV--2 Severe Acute Respiratory Sy…
Nonlinear limiting dynamics of a shrinking interface in a Hele-Shaw cell
Meng Zhao, Zahra Niroobakhsh, John Lowengrub +1
The flow in a Hele-Shaw cell with a time-increasing gap poses a unique shrinking interface problem. When the upper plate of the cell is lifted perpendicularly at a prescribed speed…
Optimal Experimental Design for Mathematical Models of Hematopoiesis
Luis Martinez Lomeli, Abdon Iniguez, Babak Shahbaba +2
The hematopoietic system has a highly regulated and complex structure in which cells are organized to successfully create and maintain new blood cells. Feedback regulation is cruci…
Complex Far-Field Geometries Determine the Stability of Solid Tumor Growth with Chemotaxis
Min-Jhe Lu, Chun Liu, John Lowengrub +1
In this paper, we develop a sharp interface tumor growth model to study the effect of the tumor microenvironment using a complex far-field geometry that mimics a heterogeneous dist…
Modeling the vertical growth of van der Waals stacked 2D materials using the diffuse domain method
Zhenlin Guo, Christopher Price, Vivek B. Shenoy +1
Vertically-stacked monolayers of graphene and other atomically-thin 2D materials have attracted considerable research interest because of their potential in fabricating materials w…
The Liver Tumor Segmentation Benchmark (LiTS)
Patrick Bilic, Patrick Christ, Hongwei Bran Li +106
In this work, we report the set-up and results of the Liver Tumor Segmentation Benchmark (LiTS), which was organized in conjunction with the IEEE International Symposium on Biomedi…
Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries
Fei Yu, Zhenlin Guo, John Lowengrub
The diffuse-domain, or smoothed boundary, method is an attractive approach for solving partial differential equations in complex geometries because of its simplicity and flexibilit…
Personalized Radiotherapy Design for Glioblastoma: Integrating Mathematical Tumor Models, Multimodal Scans and Bayesian Inference
Jana Lipkova, Panagiotis Angelikopoulos, Stephen Wu +11
Glioblastoma is a highly invasive brain tumor, whose cells infiltrate surrounding normal brain tissue beyond the lesion outlines visible in the current medical scans. These infiltr…
Non-stiff methods for Airy flow and the modified Korteweg-de Vries equation
Mariano Franco-de-León, John Lowengrub
In this paper, we implement non-stiff interface tracking methods for the evolution of 2-D curves that follow Airy flow, a curvature-dependent dispersive geometric evolution law. Th…
Automated Unsupervised Segmentation of Liver Lesions in CT scans via Cahn-Hilliard Phase Separation
Jana Lipková, Markus Rempfler, Patrick Christ +2
The segmentation of liver lesions is crucial for detection, diagnosis and monitoring progression of liver cancer. However, design of accurate automated methods remains challenging…
Mass Conservative and Energy Stable Finite Difference Methods for the Quasi-incompressible Navier-Stokes-Cahn-Hilliard system: Primitive Variable and Projection-Type Schemes
Zhenlin Guo, Ping Lin, Steven Wise +1
In this paper we describe two fully mass conservative, energy stable, finite difference methods on a staggered grid for the quasi-incompressible Navier-Stokes-Cahn-Hilliard (q-NSCH…
Dynamics of a multicomponent vesicle in shear flow
Kai Liu, Gary R. Marple, Shuwang Li +2
We study the fully nonlinear, nonlocal dynamics of two-dimensional multicomponent vesicles in a shear flow with matched viscosity of the inner and outer fluids. Using a nonstiff, p…
Convergence Analysis for Second Order Accurate Convex Splitting Schemes for the Periodic Nonlocal Allen-Cahn and Cahn-Hilliard Equations
Zhen Guan, John Lowengrub, Cheng Wang
In this paper we provide a detailed convergence analysis for fully discrete second order (in both time and space) numerical schemes for nonlocal Allen-Cahn (nAC) and nonlocal Cahn-…
An Energy Stable Finite-Difference Scheme for Functionalized Cahn-Hilliard Equation and its Convergence Analysis
Wenqiang Feng, Zhen Guan, John Lowengrub +2
We present and analyze an unconditionally energy stable and convergent finite difference scheme for the Functionalized Cahn-Hilliard equation. One key difficulty associated with th…