17 citations · 54 across the 13 of their papers we have counts for
22 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…
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…
Optimal allocation to deferred income annuities
F. Habib, H. Huang, A. Mauskopf +2
In this paper we employ a lifecycle model that uses utility of consumption and bequest to determine an optimal Deferred Income Annuity (DIA) purchase policy. We lay out a mathemati…
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…