76 citations · 246 across the 24 of their papers we have counts for
26 papers
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…
H-bonds in Crambin: Coherence in an alpha helix
Stanley Nicholson, David Minh, Robert Eisenberg
We applied coherence analysis to molecular dynamics simulations of the plant protein crambin, a thionin storage protein found in Abyssinian cabbage. Coherence analysis was develope…
Kirchhoff's Current Law with Displacement Current
Robert Eisenberg, Xavier Oriols, David K. Ferry
Kirchhoff's Current Law is an essential tool in the design of circuits that operate very quickly, faster than nanoseconds. But Kirchhoff's current is often identified as the flow o…
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…
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…