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Thesis (pdf) - Espci

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1 General introduction 3<br />

led me, irremediably, to devote this thesis and my future research to biophysics.<br />

This thesis do not respond to a pre-established scheme, although there is a<br />

logic underlying the pattern followed, which starts from a string theory PhD<br />

student during the first two years of my doctorate, and ends as a biophysicist.<br />

The transition between such a perpendicular fields has resulted in the following<br />

thesis, where aspects of purely soft matter concerning topological defects<br />

appear first, followed by a study of some cooperativity of molecular motors,<br />

and ends with a purely biophysical approach of membrane-cytoskeleton interactions<br />

which explicitly connects with biological experiments. Yet from<br />

the beginning I tried to work on problems that allowed me to interact with<br />

experiments and researchers from other fields.<br />

This thesis is composed of three chapters which are devoted to soft-matter<br />

and physical biology. The first chapter belongs to the field of topological defects.<br />

The study of topological defects is of general relevance in many areas of<br />

physics and biology, because their main universal properties can help understand<br />

systems that presumably exhibit topological defects, such as the mitotic<br />

spindle during cell division, using simple condensed matter experiments, like<br />

in liquid crystals. We consider the motion of defects and their interaction,<br />

which is not fully understood. In this regard, we study the dynamics of annihilation<br />

of two defects in Langmuir monolayers using a liquid crystal model.<br />

We are able to extract the dependence of the elastic anisotropy of the material<br />

on the surface pressure measuring only the ratio of velocities at which the<br />

defects approach each other.<br />

In the second chapter of the thesis, we consider some aspects of selforganization<br />

and cooperativity of molecular motors. Molecular motors are<br />

proteins that convert chemical energy into mechanical work at a molecular<br />

scale, and are responsible of many biological phenomena, ranging from muscle<br />

contraction to cellular transport and cell motility. Molecular motors usually<br />

cooperate to generate large forces, as in the case of muscle contraction.<br />

Although there are several theoretical works considering the coupling between<br />

molecular motors, there is not yet a full understanding of cooperativity<br />

and force distribution among clusters of molecular motors. We consider several<br />

representative weakly interactions between motors, namely, short range<br />

and long range repulsion, and weak attraction, and we study their collective<br />

behavior, force distribution and efficiency when a force is applied in the foremost<br />

motor. Our approach is mainly based on Langevin simulations using a<br />

two state model for a molecular motor.

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