A STEM-CELL MODEL FOR CARCINOGENESIS

被引：12

作者：

KOPPSCHNEIDER, A ^{[1
]}

PORTIER, CJ ^{[1
]}

机构：

[1] NIEHS,DIV BIOMETRY & RISK ASSESSMENT,RES TRIANGLE PK,NC 27709

来源：

MATHEMATICAL BIOSCIENCES | 1994年 / 120卷 / 02期

关键词：

D O I：

10.1016/0025-5564(94)90053-1

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A modification to the well-known two-stage model of carcinogenesis with clonal expansion is proposed. A true stem cell is applied to the production of intermediate cells by incorporating a birth-death process with a reflecting barrier into the model. The distribution of the number of detectable intermediate cell clones is derived, and systems of differential equations are formulated for the cumulative distribution function for the appearance of malignant tumors. The model is applied to data on papilloma formation in a mouse skin painting experiment. Tests for the importance of intermediate cells in tumor incidence can be derived.

引用

页码：211 / 232

页数：22

共 25 条

[1] THE AGE DISTRIBUTION OF CANCER AND A MULTI-STAGE THEORY OF CARCINOGENESIS [J].

ARMITAGE, P ;

DOLL, R .

BRITISH JOURNAL OF CANCER, 1954, 8 (01) :1-12

[2] A 2-STAGE THEORY OF CARCINOGENESIS IN RELATION TO THE AGE DISTRIBUTION OF HUMAN CANCER [J].

ARMITAGE, P ;

DOLL, R .

BRITISH JOURNAL OF CANCER, 1957, 11 (02) :161-169

[3]

ARMITAGE P, 1961, 4TH P BERK S MATH ST, P19

[4]

DAY NE, 1980, JNCI-J NATL CANCER I, V64, P977

[5]

Feller W., 1968, INTRO PROBABILITY TH

[6] BIRTH-AND-DEATH PROCESSES, AND THE THEORY OF CARCINOGENESIS [J].

KENDALL, DG .

BIOMETRIKA, 1960, 47 (1-2) :13-21

[7] BIRTH DEATH PROCESSES WITH PIECEWISE CONSTANT RATES [J].

KOPPSCHNEIDER, A .

STATISTICS & PROBABILITY LETTERS, 1992, 13 (02) :121-127

[8] BIRTH AND DEATH DIFFERENTIATION RATES OF PAPILLOMAS IN MOUSE SKIN [J].

KOPPSCHNEIDER, A ;

PORTIER, CJ .

CARCINOGENESIS, 1992, 13 (06) :973-978

[9] THE APPLICATION OF A MULTISTAGE MODEL THAT INCORPORATES DNA DAMAGE AND REPAIR TO THE ANALYSIS OF INITIATION PROMOTION EXPERIMENTS [J].

KOPPSCHNEIDER, A ;

PORTIER, CJ ;

RIPPMANN, F .

MATHEMATICAL BIOSCIENCES, 1991, 105 (02) :139-166

[10] DISTINGUISHING BETWEEN MODELS OF CARCINOGENESIS - THE ROLE OF CLONAL EXPANSION [J].

KOPPSCHNEIDER, A ;

PORTIER, CJ .

FUNDAMENTAL AND APPLIED TOXICOLOGY, 1991, 17 (03) :601-613

← 1 2 3 →