1 citations · 1 across the 3 of their papers we have counts for
6 papers
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…
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…
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…