A random walk model of oligodendrocyte generation in vitro and associated estimation problems.
A branching stochastic process proposed earlier to model oligodendrocyte generation by O-2A progenitor cells under in vitro conditions does not allow invoking the maximum likelihood techniques for estimation purposes. To overcome this difficulty, we propose a partial likelihood function based on an embedded random walk model of clonal growth and differentiation of O-2A progenitor cells. Under certain conditions, the partial likelihood function yields consistent estimates of model parameters. The usefulness of this approach is illustrated with computer simulations and data analyses.
von Collani
E
E
Universität Würzburg, Germany.
Tsodikov
A
A
Yakovlev
A
A
Mayer-Proschel
M
M
Noble
M
M
D000465:Algorithms; D000818:Animals; D003198:Computer Simulation; D016013:Likelihood Functions; D008954:Models, Biological; D009836:Oligodendroglia / Q000502:physiology*; D051381:Rats; D013234:Stem Cells / Q000502:physiology; D013269:Stochastic Processes