Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"vertex model"”.
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Active Vertex Model of Epithelial Monolayer Mechanics
An Active Vertex Model (AVM) for cell-resolution studies of the mechanics of confluent epithelial tissues consisting of tens of thousands of cells, with a level of detail inaccessible to similar methods is presented. The AVM combines the Vertex Model for confluent epithelial tissues with active …
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Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice
… the partition function, $Z_n$, for the six-vertex model with domain wall boundary conditions is solved in the thermodynamic limit in various regions of the phase diagram. In the ferroelectric phase region, we show that $Z_n=CG^nF^{n^2}(1+O(e^{-n^{1-\ep}}))$ for any $\ep>0$, and we give …
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New degrees of freedom in integrable models with q-Hahn weights and their applications to symmetric functions and probability.
… three groups of results about integrable lattice models constructed from orthogonality weights of q-Hahn polynomials. First, we establish that the q-Hahn orthogonality weights appear as matrix coefficients in certain isomorphisms between tensor products of representations of quantum affine sl₂ …
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Dynamics of Cell Packing and Polar Order in Developing Epithelia
… geometry in developing epithelia. We use a vertex model to describe the packing geometry of tissues, for which forces are balanced throughout the tissue. We introduce a cell division algorithm and show that repeated cell division results in the formation of a distinct pattern of cells, which …
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Nuclear and Chiral transition using the strong coupling expansion of Lattice QCD
… gauge corrections required for actual QCD, a Vertex Model is developed from the Tensor Network representation of Lattice QCD. This model, which involves significantly more vertices than previous studies, is simulated using a parallelized ergodic algorithm designed for efficient computation on …
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Infinite Sets of Conserved Charges and Duality in Quantum Field Theory
… an example the familiar two- 4 dimensional Ising model. Next, in chapter III, I show how this applies to Baxter's 8-vertex model and the XYZ Hamiltonian, and how an infinite set of conserved charges for the XYZ model arises from properties of the transfer matrix. In Chapter IV I discuss the …
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Stochastic Dynamics on Integrable Lattice Models
… to present some new results related to the six-vertex and dimer model. One theme is the construction and analysis of Markov processes which are naturally associated to these lattice models. Certain integrability properties of the six-vertex and dimer model, often related to the Yang–Baxter …
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Rheology and Collective Behavior in Living Tissue
… such questions using continuum and mesoscopic models. Employing the biophysical vertex model, active cells in confluent tissue are described as polygons with shape-based energies. Recent work has shown that this class of models yields a solid-liquid transition of tissue with evidence of glassy …
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Effect of Cell-Substrate Interactions on Epithelial Cell Mechanics
… cells at an air-liquid interface. These model monolayers were grown in the absence of any supporting structures in hanging drops. We found that the direction of strain in the unsupported monolayers was not correlated to nuclear alignment as observed when the monolayers were grown on soft …
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The role of actomyosin contractility in zebrafish neural tube formation through hollowing.
… mechanism, making it an ideal in vivo model to study hollowing lumen formation. While the role of actomyosin contractility is well understood in primary neurulation, for example through constriction of apical-lateral junctions to mediate neural plate bending, its role in secondary …