Varlı, Ekin
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.


Axisymmetric finite cylinder with one end clamped and the other under uniform tension containing a penny-shaped crack
KAMAN, METE ONUR; Gecit, Mehmet Rusen (Elsevier BV, 2008-09-01)
This study considers the axisymmetric analysis of a finite cylinder containing a penny-shaped transverse crack. Material of the cylinder is assumed to be linearly elastic and isotropic. One end of the cylinder is bonded to a fixed support while the other end is subjected to uniform axial tension. Solution is obtained by superposing the solutions for an infinite cylinder loaded at infinity and an infinite cylinder containing four cracks and a rigid inclusion loaded along the cracks and the inclusion. When th...
Thermodynamics of relation-based systems with applications in econophysics, sociophysics, and music
Gündüz, Güngör (2012-10-15)
A methodology was developed to analyze relation-based systems evolving in time by using the fundamental concepts of thermodynamics. The behavior of such systems can be tracked from the scattering matrix which is actually a network of directed vectors (or pathways) connecting subsequent values, which characterize an event, such as the index values in stock markets. A system behaves in a rigid (elastic) way to an external effect and resists permanent deformation, or it behaves in a viscous (or soft) way and d...
Vibration analysis of washing machines in the drum plane
Baykal, Cem; Ciğeroğlu, Ender; Yazıcıoğlu, Yiğit (Springer, Cham; 2019-02-20)
In this study, a nonlinear mathematical model for drum-type washing machines is developed considering rotating unbalance type excitation. Nonlinear differential equations of motion are converted into a set of nonlinear algebraic equations by using harmonic balance method (HBM). The resulting nonlinear algebraic equations are solved by using Newton’s method with arc-length continuation. Several case studies are performed in order to observe the effects of orientation angles of springs and dampers supporting ...
Utilization of Non-destructive Methods for Determining the Effect of Age-Hardening on Impact Toughness of 2024 Al-Cu-Mg Alloy
Gür, Cemil Hakan (Springer Science and Business Media LLC, 2008-12-01)
The aim of the study is to investigate the correlation between non-destructive measurements and impact toughness of 2024 Al-alloy. Following the solutionizing at 493 degrees C/1 h and water quench, the samples were aged at 190 degrees C for various periods between 0.5 h and 18 h. Hardness, impact toughness, sound velocity, and electrical conductivity were measured for each specimen group, and fracture surfaces were investigated by SEM. To focus on only the effect of precipitation, the process variables were...
Convergence Error and Higher-Order Sensitivity Estimations
Eyi, Sinan (2012-10-01)
The aim of this study is to improve the accuracy of the finite-difference sensitivities of differential equations solved by iterative methods. New methods are proposed to estimate the convergence error and higher-order sensitivities. The convergence error estimation method is based on the eigenvalue analysis of linear systems, but it can also be used for nonlinear systems. The higher-order sensitivities are calculated by differentiating the approximately constructed differential equation with respect to the...
Citation Formats
E. Varlı, “THERMODYNAMICS OF SKELETAL MUSCLE,” Ph.D. - Doctoral Program, Middle East Technical University, 2022.