Development of tools for modeling hybrid systems with memory

Download

index.pdf

Date

2008

Author

Gökgöz, Nurgul

Metadata

Show full item record

Item Usage Stats

185
views

93
downloads

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).

URI

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

Collections

Graduate School of Applied Mathematics, Thesis

Suggestions

OpenMETU
Core

Inference of piecewise linear systems with an improved method employing jump detection Selçuk, Ahmet Melih; Öktem, Hakan; Department of Scientific Computing (2007) Inference of regulatory relations in dynamical systems is a promising active research area. Recently, most of the investigations in this field have been stimulated by the researches in functional genomics. In this thesis, the inferential modeling problem for switching hybrid systems is studied. The hybrid systems refers to dynamical systems in which discrete and continuous variables regulate each other, in other words the jumps and flows are interrelated. In this study, piecewise linear approximations are u...
A survey on piecewise-linear models of regulatory dynamical systems Öktem, Hüseyin Avni (Elsevier BV, 2005-11-01) Recent developments in understanding the various regulatory systems, especially the developments in biology and genomics, stimulated an interest in modelling such systems. Hybrid systems, originally developed for process control applications, provide advances in modelling such systems. A particular class of hybrid systems which are relatively simpler to analyze mathematically but still capable of demonstrating the essential features of many non-linear dynamical systems is piecewise-linear systems. Implement...
Text mining : a burgeroning quality improvement tool J.Mohammad, Mohammad Alkin; Weber, Gerhard Wilhelm; Department of Scientific Computing (2007) While the amount of textual data available to us is constantly increasing, managing the texts by human effort is clearly inadequate for the volume and complexity of the information involved. Consequently, requirement for automated extraction of useful knowledge from huge amounts of textual data to assist human analysis is apparent. Text mining (TM) is mostly an automated technique that aims to discover knowledge from textual data. In this thesis, the notion of text mining, its techniques, applications are p...
Integrated framework to investigate value innovations Dikmen Toker, İrem; Birgönül, Mustafa Talat (American Society of Civil Engineers (ASCE), 2005-04-01) A conceptual framework has been developed to investigate value innovations within construction companies. A visual metaphor has been defined to model the innovation system where the elements of the model are objectives, strategies, environmental barriers/drivers, and organizational factors. The major idea is that none of the elements of the model alone can explain the innovative capability, and elements as well as their interrelations should be considered concurrently to investigate how the innovation syste...
Inference of switching networks by using a piecewise linear formulation Akçay, Didem; Öktem, Hakan; Department of Scientific Computing (2005) Inference of regulatory networks has received attention of researchers from many fields. The challenge offered by this problem is its being a typical modeling problem under insufficient information about the process. Hence, we need to derive the apriori unavailable information from the empirical observations. Modeling by inference consists of selecting or defining the most appropriate model structure and inferring the parameters. An appropriate model structure should have the following properties. The model...

Citation Formats

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