3 papers
math.AP2026
Estimating an initial telomere length distribution from the Laplace transform of its senescence times distribution
Jules Olayé, Jules Olayé
This work follows from a previous study on the estimation of an initial distribution of telomere length from a senescence times distribution done in [10.1051/m2an/2026022, J. Olay{…
math.AP2026
An inverse problem in cell dynamics: Recovering an initial distribution of telomere lengths from measurements of senescence times
Jules Olayé
Telomeres are repetitive sequences situated at both ends of the chromosomes of eukaryotic cells. At each cell division, they are eroded until they reach a critical length that trig…
math.PR2026
Long-time behaviour of a multidimensional age-dependent branching process with a singular jump kernel modelling telomere shortening
Jules Olayé, Milica Tomasevic
In this article, we investigate the ergodic behaviour of a multidimensional age-dependent branching process with a singular jump kernel, motivated by studying the phenomenon of tel…