An alternative stochastic model of generation of oligodendrocytes in cell culture

被引:16
作者
Boucher, K
Zorin, A
Yakovlev, AY
Mayer-Proschel, M
Noble, M
机构
[1] Univ Utah, Dept Oncol Sci, Huntsman Canc Inst, Salt Lake City, UT 84112 USA
[2] Cent Res Inst Radiol, St Petersburg 189646, Russia
关键词
oligodendrocytes; progenitor cells; stochastic modeling; branching processes; cell proliferation;
D O I
10.1007/s002850100085
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
According to our previous model, oligodendrocyte - type 2 (O-2A) astrocyte progenitor cells become competent for differentiation in vitro after they complete a certain number of critical mitotic cycles. After attaining the competency to differentiate, progenitor cells divide with fixed probability p in subsequent cycles. The number of critical cycles is random analysis of data suggests that it varies from zero to two. The present paper presents an alternative model in which there are no critical cycles, and the probability that a progenitor cell will divide again decreases gradually to a plateau value as the number of completed mitotic cycles increases. In particular all progenitor cells have the ability to differentiate from the time of plating. The Kiefer-Wolfowitz procedure is used to fit the new model to experimental data on the clonal growth of purified O-2A progenitor cells obtained from the optic nerves of 7 day old rats. The new model is shown to fit the experimental data well, indicating that it is not possible to determine whether critical cycles exist on the basis of these experimental data. In contrast to the fit of the previous model, which suggested that the addition of thyroid hormone increased the limiting probability of differentiation as the number of mitotic cycles increases, the fit of the new model suggests that the addition of thyroid hormone has almost no effect oil the limiting probability of differentiation.
引用
收藏
页码:22 / 36
页数:15
相关论文
共 13 条
[1]  
Akaike H., 1973, 2 INT S INFORM THEOR, P267, DOI [DOI 10.1007/978-1-4612-1694-0_15, 10.1007/978-1-4612-1694-0_15]
[2]  
[Anonymous], 1989, TRANSIENT PROCESSES
[3]  
Athreya K.B., 1972, BRANCHING PROCESS
[4]   COOPERATION BETWEEN 2 GROWTH-FACTORS PROMOTES EXTENDED SELF-RENEWAL AND INHIBITS DIFFERENTIATION OF OLIGODENDROCYTE TYPE-2 ASTROCYTE (O-2A) PROGENITOR CELLS [J].
BOGLER, O ;
WREN, D ;
BARNETT, SC ;
LAND, H ;
NOBLE, M .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1990, 87 (16) :6368-6372
[5]   A stochastic model of temporally regulated generation of oligodendrocytes in cell culture [J].
Boucher, K ;
Yakovlev, AY ;
Mayer-Proschel, M ;
Noble, M .
MATHEMATICAL BIOSCIENCES, 1999, 159 (01) :47-78
[6]   STOCHASTIC ESTIMATION OF THE MAXIMUM OF A REGRESSION FUNCTION [J].
KIEFER, J ;
WOLFOWITZ, J .
ANNALS OF MATHEMATICAL STATISTICS, 1952, 23 (03) :462-466
[7]  
Pflug GC, 1996, The Kluwer International Series in Engineering and Computer Science, V373
[8]  
SMITH J, 1999, UNPUB REDOX STATE CE
[9]   CLONAL ANALYSIS OF OLIGODENDROCYTE DEVELOPMENT IN CULTURE - EVIDENCE FOR A DEVELOPMENTAL CLOCK THAT COUNTS CELL DIVISIONS [J].
TEMPLE, S ;
RAFF, MC .
CELL, 1986, 44 (05) :773-779
[10]   A random walk model of oligodendrocyte generation in vitro and associated estimation problems [J].
von Collani, E ;
Tsodikov, A ;
Yakovlev, A ;
Mayer-Proschel, M ;
Noble, M .
MATHEMATICAL BIOSCIENCES, 1999, 159 (02) :189-204