Feedback regulation in multistage cell lineages
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1.
Departments of Mathematics, University of California, Irvine, CA
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2.
Center for Mathematical and Computational Biology, Department of Mathematics, University of California, Irvine, CA 92697-3875
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3.
Developmental and Cell Biology, University of California, Irvine, CA
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Received:
01 August 2008
Accepted:
29 June 2018
Published:
01 December 2008
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MSC :
92C15,92C37,34D23
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Studies of developing and self-renewing tissues have shown that
differentiated cell types are typically specified through the actions of
multistage cell lineages. Such lineages commonly include a stem cell
and multiple progenitor (transit amplifying; TA) cell stages, which ultimately
give rise to terminally differentiated (TD) cells. In several cases, self-renewal
and differentiation of stem and progenitor cells within such lineages have been
shown to be under feedback regulation. Together, the existence of multiple cell
stages within a lineage and complex feedback regulation are thought to confer
upon a tissue the ability to autoregulate development and regeneration,
in terms of both cell number (total tissue volume) and cell identity
(the proportions of different cell types, especially TD cells, within the tissue).
In this paper, we model neurogenesis in the olfactory epithelium (OE) of the mouse,
a system in which the lineage stages and mediators of feedback regulation that govern
the generation of terminally differentiated olfactory receptor neurons (ORNs) have been
the subject of much experimental work. Here we report on the existence and uniqueness
of steady states in this system, as well as local and global stability of these steady states.
In particular, we identify parameter conditions for the stability of the system when negative
feedback loops are represented either as Hill functions, or in more general terms.
Our results suggest that two factors -- autoregulation of the proliferation of
transit amplifying (TA) progenitor cells, and a low death rate of TD cells -- enhance the stability of this system.
Citation: Wing-Cheong Lo, Ching-Shan Chou, Kimberly K. Gokoffski, Frederic Y.-M. Wan, Arthur D. Lander, Anne L. Calof, Qing Nie. Feedback regulation in multistage cell lineages[J]. Mathematical Biosciences and Engineering, 2009, 6(1): 59-82. doi: 10.3934/mbe.2009.6.59
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Abstract
Studies of developing and self-renewing tissues have shown that
differentiated cell types are typically specified through the actions of
multistage cell lineages. Such lineages commonly include a stem cell
and multiple progenitor (transit amplifying; TA) cell stages, which ultimately
give rise to terminally differentiated (TD) cells. In several cases, self-renewal
and differentiation of stem and progenitor cells within such lineages have been
shown to be under feedback regulation. Together, the existence of multiple cell
stages within a lineage and complex feedback regulation are thought to confer
upon a tissue the ability to autoregulate development and regeneration,
in terms of both cell number (total tissue volume) and cell identity
(the proportions of different cell types, especially TD cells, within the tissue).
In this paper, we model neurogenesis in the olfactory epithelium (OE) of the mouse,
a system in which the lineage stages and mediators of feedback regulation that govern
the generation of terminally differentiated olfactory receptor neurons (ORNs) have been
the subject of much experimental work. Here we report on the existence and uniqueness
of steady states in this system, as well as local and global stability of these steady states.
In particular, we identify parameter conditions for the stability of the system when negative
feedback loops are represented either as Hill functions, or in more general terms.
Our results suggest that two factors -- autoregulation of the proliferation of
transit amplifying (TA) progenitor cells, and a low death rate of TD cells -- enhance the stability of this system.
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