Journal Title
Title of Journal: New Gener Comput
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Abbravation: New Generation Computing
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Publisher
Verlag Omsha Tokio
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Authors: Ryuzo Azuma Ryo Umetsu Shingo Ohki Fumikazu Konishi Sumi Yoshikawa Akihiko Konagaya Kazumi Matsumura
Publish Date: 2008/03/09
Volume: 25, Issue: 4, Pages: 425-441
Abstract
This paper proposes a novel approach to the analysis and validation of mathematical models using twodimensional geometrical patterns representing parameterparameter dependencies PPD in dynamic systems A geometrical pattern is obtained by calculating moment values such as the area under the curve AUC area under the moment curve AUMC and mean residence time MRT for a series of simulations with a wide range of parameter values In a mathematical model of the metabolic pathways of the cancer drug irinotecan CPT11 geometrical patterns can be classified into three major categories “independent” “hyperbolic” and “complex” These categories characterize substructures arising in differential equations and are helpful for understanding the behavior of largescale mathematical models The Open Bioinformatics Grid OBIGrid provides a cyberinfrastructure for users to share these data as well as computational resources
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