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Performance is an important issue with any application, especially grid applications. Efficient execution of applications requires insight into how the system features impact the performance of the applications. This insight generally results from significant experimental analysis and possibly the development of performance models. This paper present the Prophesy system, for which the novel component is the model development. In particular, this paper discusses the use of our coupling parameter (i.e., a metric that attempts to quantify the interaction between kernels that compose an application) to develop application models. We discuss how this modeling technique can be used in the analysis of grid applications.