Mathematical models of branching actin networks: Results and methods.Smith, Daniel (2013) Mathematical models of branching actin networks: Results and methods. Doctoral Dissertation, University of Pittsburgh. (Unpublished) This is the latest version of this item.
AbstractBranching actin networks are made up of polymerous actin filaments and play a principle role in cell motility and other cellular processes. Inside the lamellipoidum, the thin extension at the leading edge of a motile cell, there is a dense actin network composed of branched filaments. That network organizes into regular patterns near the membrane and serves as an engine moving the membrane forward. There are good models explaining how an individual actin filament is able to generate force against a load, but it is not well Electron micrographs of actin networks have shown surprisingly regular patterns in the angle of filaments to the membrane. Several continuum models have been proposed to explain this regularity. In the second part of this work, those models are mathematically studied. It has been hypothesized, with numerical evidence, that the equations select for some small number of optimal orientation patterns. The results in chapter 3 imply that both orientation models uniquely select for an optimal orientation pattern. Also, a fitness function for each orientation pattern is derived. A number of properties of actin filaments have been studied by using atomistic models of actin monomers and filaments. In order to calculate statistical properties of these models, the conformational space needs to be effectively sampled. Current computing capabilities are unable to do so directly, so some form of enhanced sampling algorithm is needed. However, there is no standard way to compare existing methods nor test new methods. The last part of this Share
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