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<p class="MsoNormal" align="center" style="text-align:center"><a name="15159cd49c9d9f2c__Toc434675189"><b>PhD Dissertation<o:p></o:p></b></a></p>
<p class="MsoNormal" align="center" style="text-align:center"><b> </b>Nikhil
Walani<o:p></o:p></p>
<p class="MsoNormal" align="center" style="text-align:center"><b><span style="font-size:14.0pt">Mechanics of cellular transport<o:p></o:p></span></b></p>
<p class="MsoNormal" align="center" style="text-align:center"><b>Date: </b>December
7<sup>th</sup>, 2015<o:p></o:p></p>
<p class="MsoNormal" align="center" style="text-align:center"><b>Time: </b>9:30AM<o:p></o:p></p>
<p class="MsoNormal" align="center" style="text-align:center"><b>Place: </b>Mechanical
Engineering Large Conference Room<o:p></o:p></p>
<p class="MsoNormal" align="center" style="text-align:center"><b>Committee Members: </b>Prof.
Ashutosh Agrawal, Prof. Yi-Chao Chen, Prof. Gemunu Gunaratne, Prof. Kaspar Willam
and Prof. Dong Liu.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal" style="text-align:justify;text-justify:inter-ideograph">Lipid
membranes are versatile structures that interact with various kinds of proteins
to maintain the shape and functionality of cells and their organelles. For
example, they are actively involved in the transport of various proteins and
other nutrients in and out of cells. Transport of macromolecules, which cannot
diffuse through these bilayer membranes occur through an extensive remodeling
of plasma membrane. This is executed by a designated set of membrane-deforming
proteins, which supply the energy and drive membrane remodeling leading to
formation of cargo-carrying vesicles.<o:p></o:p></p>
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<p class="MsoNormal" style="text-align:justify;text-justify:inter-ideograph">In
our study, we focus on the most commonly used transport pathway termed
``Clathrin Mediated Endocytosis''. We use continuum mechanics to study the equilibrium
of lipid bilayers in the presence of three key membrane-deforming proteins,
namely, clathrin, BAR and actin filaments. To the end, we generalize the theory
of lipid membranes to incorporate the anisotropic curvatures generated by
proteins. Our study reveals a protein-induced ``Snap-through Instability'' that
offsets tension in the lipid membrane and drives vesicle growth. It
disentangles the individual role of key proteins and provides mechanistic
insights into fundamental debates in the field of cellular transport. Since
these proteins (actin and BAR proteins) are involved in other interfacial
rearrangements in cells, our work could provide new insights into biological
processes in cells at-large. Motivated by the observed instability, we derive the
generalized stability conditions for heterogeneous lipid membranes. These
theories, in the future, can provide physical insights into the observed
instability.<o:p></o:p></p>
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