Keywords
- Lifetime Distribution
- Wait Time Distribution
- Spermatogonial Stem Cell
- Mouse Small Intestine
- Cell Production Rate
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Cheng, H., Leblond, C.P. (1974) Origin, differentiation and renewal of four main epithelial cell types in the mouse small intestine. V. Unitarian theory of the origin of the four epitheliat cell types. Am. J. Anat. 141, 537–562.
Clermont, Y., Hermo, L. (1976) Spermatogonial stem cells and their behaviour in the seminiferous epithelium of rats and monkeys. In: Stem Cells of Renewing Cell Populations, A.B. Cairnie, P.L. Lala, D.G. Osmond (eds.). Academic Press, London.
Edler, L. (1978) Strict supercritical generation-dependent Crump-Crump-Mode-Jagers branching processes. Adv.Appl.Prob. 10, 744–763.
Fearn, D.H. (1976) Supercritical age-dependent branching processes with generation dependence. Ann.Prob. 4, 27–37.
Fearn, D.H. (1980) Extinction probability for critical age-dependent branching processes with generation dependence. J.Appl.Prob. 17, 16–24.
Fildes, R. (1974) An age-dependent branching process with variable lifetime distributions: The generation size. Adv.Appl.Prob. 6, 291–308.
Götz, T. (1985) Generationsabhängige Verzweigungsprozesse mit Einwanderung. Dissertation, Heidelberg.
Jagers, P. (1975) Branching Processes with Biological Applications. John Wiley and Sons, New York.
Lord, B.I., Schofield, R. (1979) Some observations on the kinetics of haemopoetic stem cells and their relationship to the spatial cellular organization of the tissue. In: Biological Growth and Spread, Mathematical Theories and Applications, W. Jager, H. Rost, P. Tautu (eds.). Springer, Berlin.
Pakes, A.G. (1972) Limit theorems for an age-dependent branching process with immigration. Math.Biosc. 14, 221–234.
Pakes, A.G., Kaplan, N.L. (1974) On the subcritical Bellman-Harris process with immigration. J.Appl.Prob. 11, 652–668.
Potten, C.S. (1976) Identification of clonogenic cells in the epidermis and the structural arrangement of the epidermal proliferative unit (EPU). In: Stem Cells of Renewing Cell Populations. A.B. Cairnie, P.L. Lala. D.G. Osmond (eds.). Academic Press, London.
Seneta, E. (1968) On asymptotic properties of subcritical branching processes. J.Austral.Math.Soc. 8, 671–682.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Götz, T. (1986). Generation-dependent branching processes with immigration: convergence of distributions. In: Tautu, P. (eds) Stochastic Spatial Processes. Lecture Notes in Mathematics, vol 1212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076244
Download citation
DOI: https://doi.org/10.1007/BFb0076244
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16803-4
Online ISBN: 978-3-540-47053-3
eBook Packages: Springer Book Archive