Cellular aging associated with telomere shortening plays a crucial role in female fertility. Beyond the natural decline caused by the loss of telomeric repeats during cell division, additional factors such as oxidative stress (OS) can accelerate telomere erosion by inducing substantial telomeric damage. Despite its biological relevance, mathematical modeling of accelerated aging mechanisms...
Telomeres are repetitive sequences of DNA at the end of linear chromosomes. Their length decreases at each cell division, leading to replicative senescence in the absence of elongation mechanisms. In some unicellular organisms, as the yeast Saccharomyces Cerevisiae, telomere length homeostasis is maintained by the enzyme telomerase [Martinez-Fernandez]. In liquid dilution experiments of yeasts...
We present stochastic models of growth of a cell population of cultured yeast cells with gradually decaying chromosome endings, called the telomeres. The model has the form of the age-dependent Markov branching process with doubly-denumerable type space, where the type of a cell is defined as the pair of integers representing the length of telomeres at both ends of a chromosome. We derive the...
Telomere length regulation in \textit{Saccharomyces cerevisiae} has been modeled through stochastic rules combining deterministic shortening and
telomerase elongation. We provide a formulation of the single-telomere dynamics as a discrete-time Markov chain depending on parameters controlling shortening, telomerase activation and elongation. On a finite truncated state space, we prove...
This mini-symposium brings together researchers from different groups, from USA, Spain and France, all working on the mathematical modeling of telomere dynamics. It will give a unique opportunity to compare and discuss different approaches on close subjects : parameter inference of telomere length regulation in yeast (Viviana Gavilanes); stochastic models of telomere shortening and...
