Development of tools for modeling hybrid systems with memory

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2008

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Gökgöz, Nurgul

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Regulatory processes and history dependent behavior appear in many dynamical systems in nature and technology. For modeling regulatory processes, hybrid systems offer several advances. From this point of view, to observe the capability of hybrid systems in a history dependent system is a strong motivation. In this thesis, we developed functional hybrid systems which exhibit memory dependent behavior such that the dynamics of the system is determined by both the location of the state vector and the memory. This property was explained by various examples. We used the hybrid system with memory in modeling the gene regulatory network of human immune response to Influenza A virus infection. We investigated the sensitivity of the piecewise linear model with memory. We introduced how the model can be developed in future.

Subject Keywords

Mathematics., Scientific computig (General).

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http://etd.lib.metu.edu.tr/upload/3/12610003/index.pdf
https://hdl.handle.net/11511/17802

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Graduate School of Applied Mathematics, Thesis

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Citation Formats

N. Gökgöz, “Development of tools for modeling hybrid systems with memory,” M.S. - Master of Science, Middle East Technical University, 2008.