Now showing items 1-5 of 5
Stability analysis of a renewal equation for cell population dynamics with quiescence
We propose a model to analyze the dynamics of interacting proliferating and quiescent cell populations. The model includes age dependence of cell division, transitions between the two subpopulations, and regulation of the ...
Stability analysis of multi-compartment models for cell production systems
We study two-and three-compartment models of a hierarchical cell production system with cell division regulated by the level of mature cells. We investigate the structure of equilibria with respect to parameters as well ...
Quiescence: A mechanism for escaping the effects of drug on cell populations
We point out that a simple and generic strategy in order to lower the risk for extinction consists in developing a dormant stage in which the organism is unable to multiply but may die. The dormant organism is protected ...
A model for stem cell population dynamics with regulated maturation delay
We develop a structured population model for the maturation process of stem cells in the form of a state-dependent delay differential equation. Moreover, results on existence, uniqueness and positivity of solutions as well ...
Breast cancer dormancy can be maintained by small numbers of micrometastases
Late relapse of breast cancer can occur more than 25 years after primary diagnosis. During the intervening years between initial treatment and relapse, occult cancers are maintained in an apparent state of dormancy that ...