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Differential Equations: A Modeling Perspective Courtney S. Coleman, Robert L. Borrelli
Publisher: Wiley

Publications: more than On some models of many agent systems with competition and cooperation (2012). In 1939, Himsworth and Ker [23] introduced the first approach to measure the insulin sensitivity in vivo. The review includes, side by side, models which are simple and/or comprehensive; deterministic and/or stochastic; continuous and/or discrete; using ordinary differential equations, partial differential equations, optimal control theory, integral equations, matrix analysis and computer algorithms. The chapter starts with an introduction to the BUGS language underlining the main characteristics of this graphical approach (directed acyclic graphs, DAG, with conditional independence) in contrast to a traditional sequential language. Http://arxiv.org/abs/1201.1745. Formulation, solution, and interpretation of the results. Introductory survey of applied mathematics with emphasis on modeling of physical and biological problems in terms of differential equations. Applications from perspective PhD students are welcome. Aspects of diabetes and using various tools. General research interests: probability and stochastic processes, optimization and games with applications to business, biology and finances, mathematical physics, differential equations and functional analysis. As regression and hierarchical models, model checking and comparison and all kinds of more sophisticated modelling approaches (spatial, mixture, time series, non linear with differential equations, non parametric, etc…).