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Research
We are primarily interested in theoretical and computational
biomechanics. In particular, we are developing continuum and
multiscale methods to understand the mechanics of biological
structures from the molecular and cellular scales upward. Some of our
projects are listed below.
Mechanics of viruses and macromolecular assemblies
We are developing coarse-grained continuum theories and multiscale
simulation methodologies to study the mechanics of macromolecules
(proteins and nucleic acids) and macromolecular assemblies. The
protein shells (capsids) of viruses are the main focus of our
efforts.
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Mechanics of biomembranes
We are studying the mechanics of lipid bilayer membranes under the
influence of externally applied loadings, developing models to account
for "realistic" biological complexities such as mixtures of lipids,
intermembrane proteins, and interaction with the cytoskeleton.
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Active, Motor-driven Mechanics of Semiflexible Gels and the
Cytoskeleton
In collaboration with colleage Alex Levine we are
using finite-element computational methods to study the physical
properties of cross-linked networks of semiflexible polymer
filaments. We are interested in the non-equilibrium effects of
pre-stress generated by molecular motors on the nonlinear elastic
properties of these gels.
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Cardiac ElectroMechanics
With Alan Garfinkel (UCLA Cardiology), and Daniel Ennis (UCLA
Radiology) we are developing finite element techniques for coupling
electrophysiology with the mechanics of contraction for the human
heart. We are working to understand the complex dynamics of
fibrilation, and the effects of fibrosis, hypertropy, dilatation, and
other markers of heart disease on the physical function of the
heart.
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Continuum Modeling of DNA
With Michael Ortiz
Prof. Klug developed a director field model of DNA packaging of viral
capsids. Analytical and numerical optimization techniques were
employed to identify energy minimizing packaged configurations of
viral DNA. Check out the Ph.D. thesis
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Software
Our group's C++ research code (VOOM - Variational Object-Oriented Mechanics library) is available here. Please let us know if you find it useful, or would like to find it useful.
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