Estimating multiple tumor transition rates based on data from survival-sacrifice experiments
The development of two types of tumors in an animal survival-sacrifice experiment can be described by a Markov illness-and-death process with four unknown tumor transition rates and four unknown death rates. Due to the occult nature of tumors, these transition rates cannot be identified through the...
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E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1994 |
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| Reproduktion: |
Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 |
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| Übergeordnetes Werk: |
in: Mathematical Biosciences - Amsterdam : Elsevier, 122(1994), 1, Seite 95-125 |
| Übergeordnetes Werk: |
volume:122 ; year:1994 ; number:1 ; pages:95-125 |
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| 520 | |a The development of two types of tumors in an animal survival-sacrifice experiment can be described by a Markov illness-and-death process with four unknown tumor transition rates and four unknown death rates. Due to the occult nature of tumors, these transition rates cannot be identified through the use of a completely nonparametric model. We propose a semiparametric model that assumes that the four tumor transition rates are proportional to each other and can be described by a known parametric function. We show that these tumor transition rates can be estimated using an ECM algorithm and that inferences about these parameters can be drawn using the likelihood ratio test. We illustrate this model and the algorithm with data from the ED"0"1 study. | ||
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(DE-627)NLEJ185637817 (DE-599)GBVNLZ185637817 DE-627 ger DE-627 rakwb eng Estimating multiple tumor transition rates based on data from survival-sacrifice experiments 1994 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The development of two types of tumors in an animal survival-sacrifice experiment can be described by a Markov illness-and-death process with four unknown tumor transition rates and four unknown death rates. Due to the occult nature of tumors, these transition rates cannot be identified through the use of a completely nonparametric model. We propose a semiparametric model that assumes that the four tumor transition rates are proportional to each other and can be described by a known parametric function. We show that these tumor transition rates can be estimated using an ECM algorithm and that inferences about these parameters can be drawn using the likelihood ratio test. We illustrate this model and the algorithm with data from the ED"0"1 study. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Lu, Y. oth Malani, H.M. oth in Mathematical Biosciences Amsterdam : Elsevier 122(1994), 1, Seite 95-125 (DE-627)NLEJ185542026 (DE-600)2010227-6 0025-5564 nnns volume:122 year:1994 number:1 pages:95-125 http://dx.doi.org/10.1016/0025-5564(94)90084-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 122 1994 1 95-125 |
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(DE-627)NLEJ185637817 (DE-599)GBVNLZ185637817 DE-627 ger DE-627 rakwb eng Estimating multiple tumor transition rates based on data from survival-sacrifice experiments 1994 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The development of two types of tumors in an animal survival-sacrifice experiment can be described by a Markov illness-and-death process with four unknown tumor transition rates and four unknown death rates. Due to the occult nature of tumors, these transition rates cannot be identified through the use of a completely nonparametric model. We propose a semiparametric model that assumes that the four tumor transition rates are proportional to each other and can be described by a known parametric function. We show that these tumor transition rates can be estimated using an ECM algorithm and that inferences about these parameters can be drawn using the likelihood ratio test. We illustrate this model and the algorithm with data from the ED"0"1 study. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Lu, Y. oth Malani, H.M. oth in Mathematical Biosciences Amsterdam : Elsevier 122(1994), 1, Seite 95-125 (DE-627)NLEJ185542026 (DE-600)2010227-6 0025-5564 nnns volume:122 year:1994 number:1 pages:95-125 http://dx.doi.org/10.1016/0025-5564(94)90084-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 122 1994 1 95-125 |
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(DE-627)NLEJ185637817 (DE-599)GBVNLZ185637817 DE-627 ger DE-627 rakwb eng Estimating multiple tumor transition rates based on data from survival-sacrifice experiments 1994 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The development of two types of tumors in an animal survival-sacrifice experiment can be described by a Markov illness-and-death process with four unknown tumor transition rates and four unknown death rates. Due to the occult nature of tumors, these transition rates cannot be identified through the use of a completely nonparametric model. We propose a semiparametric model that assumes that the four tumor transition rates are proportional to each other and can be described by a known parametric function. We show that these tumor transition rates can be estimated using an ECM algorithm and that inferences about these parameters can be drawn using the likelihood ratio test. We illustrate this model and the algorithm with data from the ED"0"1 study. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Lu, Y. oth Malani, H.M. oth in Mathematical Biosciences Amsterdam : Elsevier 122(1994), 1, Seite 95-125 (DE-627)NLEJ185542026 (DE-600)2010227-6 0025-5564 nnns volume:122 year:1994 number:1 pages:95-125 http://dx.doi.org/10.1016/0025-5564(94)90084-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 122 1994 1 95-125 |
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(DE-627)NLEJ185637817 (DE-599)GBVNLZ185637817 DE-627 ger DE-627 rakwb eng Estimating multiple tumor transition rates based on data from survival-sacrifice experiments 1994 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The development of two types of tumors in an animal survival-sacrifice experiment can be described by a Markov illness-and-death process with four unknown tumor transition rates and four unknown death rates. Due to the occult nature of tumors, these transition rates cannot be identified through the use of a completely nonparametric model. We propose a semiparametric model that assumes that the four tumor transition rates are proportional to each other and can be described by a known parametric function. We show that these tumor transition rates can be estimated using an ECM algorithm and that inferences about these parameters can be drawn using the likelihood ratio test. We illustrate this model and the algorithm with data from the ED"0"1 study. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Lu, Y. oth Malani, H.M. oth in Mathematical Biosciences Amsterdam : Elsevier 122(1994), 1, Seite 95-125 (DE-627)NLEJ185542026 (DE-600)2010227-6 0025-5564 nnns volume:122 year:1994 number:1 pages:95-125 http://dx.doi.org/10.1016/0025-5564(94)90084-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 122 1994 1 95-125 |
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Estimating multiple tumor transition rates based on data from survival-sacrifice experiments |
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The development of two types of tumors in an animal survival-sacrifice experiment can be described by a Markov illness-and-death process with four unknown tumor transition rates and four unknown death rates. Due to the occult nature of tumors, these transition rates cannot be identified through the use of a completely nonparametric model. We propose a semiparametric model that assumes that the four tumor transition rates are proportional to each other and can be described by a known parametric function. We show that these tumor transition rates can be estimated using an ECM algorithm and that inferences about these parameters can be drawn using the likelihood ratio test. We illustrate this model and the algorithm with data from the ED"0"1 study. |
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The development of two types of tumors in an animal survival-sacrifice experiment can be described by a Markov illness-and-death process with four unknown tumor transition rates and four unknown death rates. Due to the occult nature of tumors, these transition rates cannot be identified through the use of a completely nonparametric model. We propose a semiparametric model that assumes that the four tumor transition rates are proportional to each other and can be described by a known parametric function. We show that these tumor transition rates can be estimated using an ECM algorithm and that inferences about these parameters can be drawn using the likelihood ratio test. We illustrate this model and the algorithm with data from the ED"0"1 study. |
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The development of two types of tumors in an animal survival-sacrifice experiment can be described by a Markov illness-and-death process with four unknown tumor transition rates and four unknown death rates. Due to the occult nature of tumors, these transition rates cannot be identified through the use of a completely nonparametric model. We propose a semiparametric model that assumes that the four tumor transition rates are proportional to each other and can be described by a known parametric function. We show that these tumor transition rates can be estimated using an ECM algorithm and that inferences about these parameters can be drawn using the likelihood ratio test. We illustrate this model and the algorithm with data from the ED"0"1 study. |
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