MATHEMATICAL MODELING OF SHORELINE EVOLUTION

Robabilistic Shoreline Change Modeling

dology is developed in which a simple deterministic shoreline change model is in a probabilistic manner as one component of a quantitative coastal change assessment. The main drivers of decadal-scale shoreline change, wave climate ment supply, are varied within a range of realistic scenarios to develop over 200 e change model simulations. Through numerous SWAN wave simulations, a table is devel...

Mathematical Modelling of Shoreline Evolution under Climate Change by Anna Zacharioudaki

Shoreline Modeling and Erosion Prediction

This paper presents a shoreline-erosion prediction model of Lake Erie that can forecast shoreline changes from annual to 10-year increments. It was developed by using historical bluffline data of years 1973, 1990, 1994, and 2000 at Lake Erie provided by NOAA and local government agencies. The relationships among these historical shorelines are analyzed using a least-squares method. Erosion rate...

Mathematical modeling of the malignancy of cancer using graph evolution.

We report a novel computational method based on graph evolution process to model the malignancy of brain cancer called glioma. In this work, we analyze the phases that a graph passes through during its evolution and demonstrate strong relation between the malignancy of cancer and the phase of its graph. From the photomicrographs of tissues, which are diagnosed as normal, low-grade cancerous and...

Mathematical modeling of evolution of horizontally transferred genes.

We describe a stochastic birth-and-death model of evolution of horizontally transferred genes in microbial populations. The model is a generalization of the stochastic model described by Berg and Kurland and includes five parameters: the rate of mutational inactivation, selection coefficient, invasion rate (i.e., rate of arrival of a novel sequence from outside of the recipient population), wit...