Date

2022-12-5

Author

Varlı, Ekin

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The major focus of this study is on creating a statistical thermodynamics and mechanics formalism for muscular contraction. The first part of this thesis previously covered classical mechanics. We must first properly comprehend the structure, function, and interaction of actin and myosin, which together comprise the cross-bridge mechanism, in order to comprehend events that are occurring in the cross-bridge mechanism and build a probabilistic strategy. Our studies in this area suggest that the proteins myosin and actin serve as the building blocks of a generic process for generating cell motion. Along with cell migration, cell division, and shape changes, alterations in intracellular actin distribution also occur. The first model replicated three separate modes of movement via the cell model, including the stationary state of our truss model, friction-induced cell motion in the favored direction, and actin polymerization-induced cell motion. The second hypothesis is based on the facts that the cytoskeleton plays a fundamental role in cell motility and that the cytoplasm is viscoelastic. To that purpose, we provide a viscoelastic model for cell movement based on a hexagonal truss structure that includes the threshold element, viscous elements, and contractile actin molecules. We begin studying statistical mechanics in the second half of this subject. As a result, statistical mechanics provides a framework for transforming a system’s probabilistic, high-dimensional description into a macroscopic one using space distributions. This method allows us to express the likelihood of several alternative microscopic states. In this phase, symmetric and asymmetric decision boundaries are identified using a triangular probability distribution function, notwithstanding the friction force, and the decision-making process is then converted to a mechanism-based approach rather than using manually calculated probabilities. The master equation is generated in this stage in order to do it.

Subject Keywords

skeletal muscle, muscle contraction, cell motility, statistical mechanics, statistical thermodynamics, sliding filament theory, cross bridge mechanism, cell devision, cell locomotion

URI

https://hdl.handle.net/11511/101274

Collections

Graduate School of Natural and Applied Sciences, Thesis