The Two-Stage Model of Carcinogenesis: Overcoming the Nonidentifiability Dilemma
The two‐stage mathematical model of carcinogenesis has been shown to be nonidentifiable whenever tumor incidence data alone is used to fit the model (Hanin and Yakovlev, 1996). This lack of identifiability implies that more than one parameter vector satisfies the optimization criteria for parameter...
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| Veröffentlicht in: | Risk analysis 1997-06, Vol.17 (3), p.367-374 |
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| container_title | Risk analysis |
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| creator | Sherman, Claire D. Portier, Christopher J. |
| description | The two‐stage mathematical model of carcinogenesis has been shown to be nonidentifiable whenever tumor incidence data alone is used to fit the model (Hanin and Yakovlev, 1996). This lack of identifiability implies that more than one parameter vector satisfies the optimization criteria for parameter estimation, e.g., maximum likelihood estimation. A question of greater concern to persons using the two‐stage model of carcinogenesis is under what conditions can identifiable parameters be obtained from the observed experimental data. We outline how to obtain identifiable parameters for the two‐stage model. |
| doi_str_mv | 10.1111/j.1539-6924.1997.tb00875.x |
| format | Article |
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We outline how to obtain identifiable parameters for the two‐stage model.</description><subject>Animals</subject><subject>Cell Transformation, Neoplastic</subject><subject>Cocarcinogenesis</subject><subject>Female</subject><subject>Humans</subject><subject>Likelihood Functions</subject><subject>Liver Neoplasms, Experimental - chemically induced</subject><subject>Mathematics</subject><subject>Methylene Chloride - toxicity</subject><subject>Mice</subject><subject>Models, Biological</subject><subject>Nonidentifiable</subject><subject>Risk</subject><subject>two-stage model</subject><issn>0272-4332</issn><issn>1539-6924</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNqVkMlOwzAURS0EgjJ8AlLEgl2CHU-YDUJlngVFsLOc5KW4JDHEKbR_j6tW3SK8eYt777F0ENojOCHhHYwSwqmKhUpZQpSSSZdhfCh5MllBvWW0ino4lWnMKE030Kb3I4wJxlyuo3WV0hQT1UOPg3eIBj8ufu7MEKI7V0AVuTLqmza3jRtCA976o-jhG9rc1bYZRl1Y3LvGFtB0trQms5XtptGpraCuzTZaK03lYWdxt9DL-dmgfxnfPlxc9U9u45xJLGMgh5hlTAmpykJKY0wumaQFz1gmuCK0LIArBkCIAkYzBYIZwJmkRJGC5HQL7c-5n637GoPvdG19DlVlGnBjr4nAUnDJ_i5yJYVgPBSP5sW8dd63UOrP1tamnWqC9cy7HumZXD2Tq2fe9cK7noTx7uKXcVZDsZwuRIf8eJ7_BE3Tf5D109XzCRUyEOI5wfoOJkuCaT90SEP19f5CX55enw9u1JtW9BcdX6H3</recordid><startdate>199706</startdate><enddate>199706</enddate><creator>Sherman, Claire D.</creator><creator>Portier, Christopher J.</creator><general>Blackwell Publishing Ltd</general><scope>BSCLL</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U1</scope><scope>7U2</scope><scope>C1K</scope><scope>7QO</scope><scope>8FD</scope><scope>FR3</scope><scope>P64</scope></search><sort><creationdate>199706</creationdate><title>The Two-Stage Model of Carcinogenesis: Overcoming the Nonidentifiability Dilemma</title><author>Sherman, Claire D. ; Portier, Christopher J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4707-e1804b49679fd77aaac7473d5b4b65913fde594ee119e43b9e64ae0b73191d1c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Animals</topic><topic>Cell Transformation, Neoplastic</topic><topic>Cocarcinogenesis</topic><topic>Female</topic><topic>Humans</topic><topic>Likelihood Functions</topic><topic>Liver Neoplasms, Experimental - chemically induced</topic><topic>Mathematics</topic><topic>Methylene Chloride - toxicity</topic><topic>Mice</topic><topic>Models, Biological</topic><topic>Nonidentifiable</topic><topic>Risk</topic><topic>two-stage model</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sherman, Claire D.</creatorcontrib><creatorcontrib>Portier, Christopher J.</creatorcontrib><collection>Istex</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Risk Abstracts</collection><collection>Safety Science and Risk</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Biotechnology Research Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Biotechnology and BioEngineering Abstracts</collection><jtitle>Risk analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sherman, Claire D.</au><au>Portier, Christopher J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Two-Stage Model of Carcinogenesis: Overcoming the Nonidentifiability Dilemma</atitle><jtitle>Risk analysis</jtitle><addtitle>Risk Anal</addtitle><date>1997-06</date><risdate>1997</risdate><volume>17</volume><issue>3</issue><spage>367</spage><epage>374</epage><pages>367-374</pages><issn>0272-4332</issn><eissn>1539-6924</eissn><abstract>The two‐stage mathematical model of carcinogenesis has been shown to be nonidentifiable whenever tumor incidence data alone is used to fit the model (Hanin and Yakovlev, 1996). 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| ispartof | Risk analysis, 1997-06, Vol.17 (3), p.367-374 |
| issn | 0272-4332 1539-6924 |
| language | eng |
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| source | MEDLINE; Wiley Online Library Journals Frontfile Complete |
| subjects | Animals Cell Transformation, Neoplastic Cocarcinogenesis Female Humans Likelihood Functions Liver Neoplasms, Experimental - chemically induced Mathematics Methylene Chloride - toxicity Mice Models, Biological Nonidentifiable Risk two-stage model |
| title | The Two-Stage Model of Carcinogenesis: Overcoming the Nonidentifiability Dilemma |
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