23 citations · 52 across the 9 of their papers we have counts for
10 papers
Lie Meets Network Dynamics: Exact Macroscopic Reductions (Finite Systems)
Erik Andreas Martens, Sanjay Dharmavaram
We establish a unified framework for exact dimensional reductions in network dynamical systems using Lie-Scheffers theory. For network dynamical systems with \emph{mean-field Lie-S…
Instabilities in Colloidal Crystals on Fluid Membranes
Sanjay Dharmavaram, Basant Lal Sharma
The complex physics of self-assembly in colloidal crystals on deformable interfaces and surfaces poses interesting possibilities for the designability and synthesis of next-generat…
Computational Modeling of Coupled Interactions of Fluid Membranes with Embedded Filaments
Basant Lal Sharma, Luigi E. Perotti, Sanjay Dharmavaram
In this work, we present a computational formulation based on continuum mechanics to study the interaction of fluid membranes embedded with semiflexible filaments. This is motivate…
Generalizing Parametrization Invariance in the Calculus of Variations
Sanjay Dharmavaram, Basant Lal Sharma
We revisit the notion of parametrization invariance while introducing certain weakened notions of invariance in the calculus of variations. In this work, we employ a straightforwar…
Coupled Bend-Twist Mechanics of Biomimetic Scale Substrate
Sanjay Dharmavaram, Hossein Ebrahimi, Ranajay Ghosh
We develop the mechanics of combined bending and twisting deformation of a one-dimensional filamentous structure with protruding stiff fish-scale-like plates embedded at an angle o…
Orientational Phase Transitions and the Assembly of Viral Capsids
Sanjay Dharmavaram, Fangming Xie, William Klug +2
We present a generalized Landau-Brazovskii free energy for the solidification of chiral molecules on a spherical surface in the context of the assembly of viral shells. We encounte…
Landau Theory and the Emergence of Chirality in Viral Capsids
Sanjay Dharmavaram, Fangming Xie, William Klug +2
We present a generalized Landau-Brazovskii theory for the solidification of chiral molecules on a spherical surface. With increasing sphere radius one encounters first intervals wh…
Symmetry-Breaking Global Bifurcation in a Surface Continuum Phase-Field Model for Lipid Bilayer Vesicles
Timothy J. Healey, Sanjay Dharmavaram
We study a model for lipid-bilayer membrane vesicles exhibiting phase separation, incorporating a phase field together with membrane fluidity and bending elasticity. We prove the e…
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…
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…