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This article concerns the following question arising in computational evolutionary biology. For a given subclass of phylogenetic networks, what is the maximum value of 0
Re-epithelialization is the dominant mode of healing in partial thickness wounds. In order to develop better strategies to monitor such wound healing, 3D HSE models and mathematical models have long been utilized to improve our understanding of epidermis f ...
We introduce a preconditioner for the solution of the Bidomain system governing the propagation of action potentials in the myocardial tissue. The Bidomain model is a degenerate parabolic set of nonlinear reaction-diffusion equations. The nonlinear term de ...
There has been a concerted effort over the last decade to improve our understanding of the complex biology of ovarian cancer. A linear growth in published proteogenomic studies has addressed a variety of questions regarding its molecular pathogenesis. A nu ...
A recent paper reported capillary rise and evaporation experiments in metallic wicks, as well as a mathematical model. The authors found a consistent discrepancy between the model predictions and data: The model over-predicted the capillary height rise by ...
In this thesis, thermal-diffusive instabilities are studied experimentally in diffusion flames. The novel species injector of a recently developed research burner, consisting of an array of hypodermic needles, which allows to produce quasi one-dimensional ...
A theoretical stochastic approach is presented for the structural analysis of plunge pool liners dynamically loaded by the impact of free-falling jets. Such an approach was used as the real behaviour of plunge pool liners is complex, and deterministic meth ...
Biology has always been a heavily technology limited field. Burgeoning fields such as systems biology require the development and implementation of new technologies, enabling high-throughput and high-fidelity measurements of large systems. Microfluidics pr ...
Mathematical models, along with scientific theory and practical experiments, are a crucial part of modern engineering and science. The author takes a look at the role mathematical models play in topics ranging from vascular simulation to weather forecastin ...
The population dynamics of an assembly of globally coupled homogeneous phase oscillators is studied in presence of non-Gaussian fluctuations. The variance of the underlying stochastic process grows as t + \beta^2 t^2 ( \beta being a constant) and therefore ...
