63 citations · 100 across the 16 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
physics.bio-ph2014★ 5 cited
On The Equivalence of Local and Global Area-constraint Formulations for Lipid Bilayer Vesicles
Sanjay Dharmavaram, Timothy J. Healey
Lipid bilayer membranes are commonly modeled as area-preserving fluid surfaces that resist bending. There appear to be two schools of thought in the literature concerning the actua…
cond-mat.soft2014★ 1 cited
The Shape of a Möbius Strip via Elastic Rod Theory Revisited
Alexander Moore, Timothy J. Healey
In 1993 Mahadevan and Keller used the Kirchhoff rod theory to predict the shape of a Möbius band. Starting from the solution for a square cross-section (isotropic), they employ num…
math.AP2014★ 2 cited
Existence of Global Symmetry-Breaking Solutions in an Elastic Phase-Field Model for Lipid Bilayer Vesicles
Timothy J. Healey, Sanjay Dharmavaram
We consider a well known model for lipid-bilayer membrane vesicles exhibiting phase separation, incorporating a phase field with finite curvature elasticity. We prove the existence…