23 citations · 52 across the 9 of their papers we have counts for
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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…
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…