50 citations · 56 across the 7 of their papers we have counts for
7 papers
Thickness effects in the electromechanical stability of charged biological membranes
Sirui Ning, Yannick A. D. Omar, Karthik Shekhar +1
Understanding how electric fields destabilize biological membranes is important for electroporation-based technologies and bioelectronic interfaces. However, theoretical descriptio…
Translational diffusion coefficients of membrane protein aggregates in free and supported lipid membranes
Yannick A. D. Omar
There is increasing evidence that numerous membrane proteins can assemble into aggregates that modulate their function and affect many cellular processes such as signal transductio…
Finite Membrane Thickness Influences Hydrodynamics on the Nanoscale
Zachary G. Lipel, Yannick A. D. Omar, Dimitrios Fraggedakis
Many lipid membrane-mediated transport processes--such as mechanically-gated channel activation and solute transport--involve structural and dynamical features on membrane thicknes…
The -dimensional theory of the electromechanics of lipid membranes: III. Constitutive models
Yannick A. D. Omar, Zachary G. Lipel, Kranthi K. Mandadapu
This article concludes a three-part series developing a self-consistent theoretical framework of the electromechanics of lipid membranes at the continuum scale. Owing to their smal…
The -dimensional theory of the electromechanics of lipid membranes: II. Balance laws
Yannick A. D. Omar, Zachary G. Lipel, Kranthi K. Mandadapu
This article is the second of a three-part series that derives a self-consistent theoretical framework of the electromechanics of arbitrarily curved lipid membranes. Existing conti…
The -dimensional theory of the electromechanics of lipid membranes: I. Electrostatics
Yannick A. D. Omar, Zachary G. Lipel, Kranthi K. Mandadapu
The coupling of electric fields to the mechanics of lipid membranes gives rise to intriguing electromechanical behavior, as, for example, evidenced by the deformation of lipid vesi…
Arbitrary Lagrangian--Eulerian finite element method for curved and deforming surfaces. I. General theory and application to fluid interfaces
Amaresh Sahu, Yannick A. D. Omar, Roger A. Sauer +1
An arbitrary Lagrangian--Eulerian (ALE) finite element method for arbitrarily curved and deforming two-dimensional materials and interfaces is presented here. An ALE theory is deve…