Recent comparisons of theoretical models of contact lines with experimental results (Podgorski et al. 2001, Winkels et al. 2011, Puthenveettil et al. 2013, Benilov & Benilov 2015) show that, in some cases, the most popular model – based on the Navier-slip condition and a prescribed contact angle – works only if the slip length is unreasonabl...
Creator:
Benilov, Eugene (University of Limerick)
Created:
2018-03-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Classical optimal control problems for (ordinary, stochastic, or evolutionary partial) differential equations have the following feature: When an optimal control is found for a given initial time and initial state, the optimal control will remain optimal as time goes by along the optimal trajectory. This is called the time-consistency of the pro...
Creator:
Yong, Jiongmin (University of Central Florida)
Created:
2018-05-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Living nematic is a realization of an active matter combining a nematic liquid crystal with swimming bacteria. The material exhibits a remarkable tendency towards spatio-temporal self-organization manifested in the creation of dynamic textures of self-propelled half-integer topological defects (disclinations or vortices). The well-established a...
Creator:
Aronson, Igor (The Pennsylvania State University)
Created:
2018-01-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
There is emerging interest in using soft materials for energy conversion, particularly in the conversion of light and heat energy into mechanical work. Liquid crystals, where the coupling of orientational order and strain/stress may be employed for this purpose, are promising materials for such applications. The celebrated work of Onsager [1] on...
Creator:
Palffy-Muhoray, Peter (Kent State University)
Created:
2018-02-28
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
There is tremendous growth in agriculture big data such as high-resolution remote sensing data for global agricultural monitoring, weather prediction for crop insurance, and precision agricultural maps from soil-quality to yield. Thus, there is growing interest in leveraging this big data for smart agriculture to enable farmers to optimize farm ...
Creator:
Shekhar, Shashi (University of Minnesota, Twin Cities)
Created:
2017-10-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
There is a several decade history demonstrating that electrical polarization of neurons can modulate neuronal firing, and that such polarization can suppress (or excite) spiking activity and seizures. In recent years, we uncovered a unification in the computational biophysics of spikes, seizures, and spreading depression (Wei et al J Neurosci 34...
Creator:
Schiff, Steven (The Pennsylvania State University)
Created:
2018-02-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Cells in vivo can reside in diverse physical and biochemical environments. For example, epithelial cells typically live in a two-dimensional (2D) environment while metastatic cancer cells can move through dense three-dimensional (3D) matrices. These distinct environments impose different kinds of mechanical forces on cells, and thus potentially ...
Creator:
Li, Yizeng (Johns Hopkins University)
Created:
2018-03-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In practice of medicine, multiple treatments are often available to treat individual patients. The task of identifying the best treatment for a specific patient is very challenging due to patient inhomogeneity. Multi-armed bandit with covariates provides a framework for designing effective treatment allocation rules in a way that integrates the ...
Creator:
Yang, Yuhong (University of Minnesota, Twin Cities)
Created:
2017-09-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A treatment regime formalizes personalized medicine as a function from individual patient characteristics to a recommended treatment. A high-quality treatment regime can improve patient outcomes while reducing cost, resource consumption, and treatment burden. Thus, there is tremendous interest in estimating treatment regimes from observational a...
Creator:
Laber, Eric (North Carolina State University)
Created:
2017-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In 1996 Kasianowicz et al. [PNAS vol 93, pp 13770-13773] reported a remarkable experiment. They created a synthetic version of a nanopore using molecular self-assembly on lipid bilayer of a bacterial exotoxin (alpha-hemolysin). The creation of the nanopore was signalled by the passage of an ion current that could be detected with a patch clamp a...
Creator:
Ghosal, Sandip (Northwestern University)
Created:
2018-03-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.