Mathematical modeling of the malignancy of cancer using graph evolution

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dc.citation.epage527en_US
dc.citation.issueNumber2en_US
dc.citation.spage514en_US
dc.citation.volumeNumber209en_US
dc.contributor.authorGunduz Demir, C.en_US
dc.date.accessioned2016-02-08T10:12:54Z
dc.date.available2016-02-08T10:12:54Z
dc.date.issued2007en_US
dc.departmentDepartment of Computer Engineeringen_US
dc.description.abstractWe report a novel computational method based on graph evolution process to model the malignancy of brain cancer called glioma. In this work, we analyze the phases that a graph passes through during its evolution and demonstrate strong relation between the malignancy of cancer and the phase of its graph. From the photomicrographs of tissues, which are diagnosed as normal, low-grade cancerous and high-grade cancerous, we construct cell-graphs based on the locations of cells; we probabilistically generate an edge between every pair of cells depending on the Euclidean distance between them. For a cell-graph, we extract connectivity information including the properties of its connected components in order to analyze the phase of the cell-graph. Working with brain tissue samples surgically removed from 12 patients, we demonstrate that cell-graphs generated for different tissue types evolve differently and that they exhibit different phase properties, which distinguish a tissue type from another. © 2007 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.mbs.2007.03.005en_US
dc.identifier.issn0025-5564
dc.identifier.urihttp://hdl.handle.net/11693/23367
dc.language.isoEnglishen_US
dc.publisherElsevier Inc.en_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.mbs.2007.03.005en_US
dc.source.titleMathematical Biosciencesen_US
dc.subjectGliomaen_US
dc.subjectGraph evolutionen_US
dc.subjectGraph theoryen_US
dc.subjectHistopathological image analysisen_US
dc.subjectMathematical cancer gradingen_US
dc.subjectMathematical modeling of cancer malignancyen_US
dc.subjectBrainen_US
dc.subjectComputational methodsen_US
dc.titleMathematical modeling of the malignancy of cancer using graph evolutionen_US
dc.typeArticleen_US
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