Biomaterial Database

A nonidentifiability aspect of the two-stage model of carcinogenesis. 1996

L G Hanin, and Yakovlev AYu

Department of Mathematics, Wayne State University, Detroit, Michigan, USA.

This paper discusses identifiability of the two-stage birth-death-mutation model of carcinogenesis. It is shown that the homogeneous version of the model is nonidentifiable; the same is all the more evident for its nonhomogeneous versions. This result implies that the model parameters cannot be uniquely estimated from time-to-tumor observations.

UI	MeSH Term	Description	Entries
D008433	Mathematics	The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed)	Mathematic
D008954	Models, Biological	Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment.	Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D009154	Mutation	Any detectable and heritable change in the genetic material that causes a change in the GENOTYPE and which is transmitted to daughter cells and to succeeding generations.	Mutations
D009369	Neoplasms	New abnormal growth of tissue. Malignant neoplasms show a greater degree of anaplasia and have the properties of invasion and metastasis, compared to benign neoplasms.	Benign Neoplasm,Cancer,Malignant Neoplasm,Tumor,Tumors,Benign Neoplasms,Malignancy,Malignant Neoplasms,Neoplasia,Neoplasm,Neoplasms, Benign,Cancers,Malignancies,Neoplasias,Neoplasm, Benign,Neoplasm, Malignant,Neoplasms, Malignant
D002455	Cell Division	The fission of a CELL. It includes CYTOKINESIS, when the CYTOPLASM of a cell is divided, and CELL NUCLEUS DIVISION.	M Phase,Cell Division Phase,Cell Divisions,Division Phase, Cell,Division, Cell,Divisions, Cell,M Phases,Phase, Cell Division,Phase, M,Phases, M
D003043	Cocarcinogenesis	The combination of two or more different factors in the production of cancer.	Cocarcinogeneses
D006801	Humans	Members of the species Homo sapiens.	Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000818	Animals	Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA.	Animal,Metazoa,Animalia
D012307	Risk Factors	An aspect of personal behavior or lifestyle, environmental exposure, inborn or inherited characteristic, which, based on epidemiological evidence, is known to be associated with a health-related condition considered important to prevent.	Health Correlates,Risk Factor Scores,Risk Scores,Social Risk Factors,Population at Risk,Populations at Risk,Correlates, Health,Factor, Risk,Factor, Social Risk,Factors, Social Risk,Risk Factor,Risk Factor Score,Risk Factor, Social,Risk Factors, Social,Risk Score,Score, Risk,Score, Risk Factor,Social Risk Factor
D014411	Neoplastic Stem Cells	Highly proliferative, self-renewing, and colony-forming stem cells which give rise to NEOPLASMS.	Cancer Stem Cells,Colony-Forming Units, Neoplastic,Stem Cells, Neoplastic,Tumor Stem Cells,Neoplastic Colony-Forming Units,Tumor Initiating Cells,Cancer Stem Cell,Cell, Cancer Stem,Cell, Neoplastic Stem,Cell, Tumor Initiating,Cell, Tumor Stem,Cells, Cancer Stem,Cells, Neoplastic Stem,Cells, Tumor Initiating,Cells, Tumor Stem,Colony Forming Units, Neoplastic,Colony-Forming Unit, Neoplastic,Initiating Cell, Tumor,Initiating Cells, Tumor,Neoplastic Colony Forming Units,Neoplastic Colony-Forming Unit,Neoplastic Stem Cell,Stem Cell, Cancer,Stem Cell, Neoplastic,Stem Cell, Tumor,Stem Cells, Cancer,Stem Cells, Tumor,Tumor Initiating Cell,Tumor Stem Cell,Unit, Neoplastic Colony-Forming,Units, Neoplastic Colony-Forming