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PreprintCC BY-NC-ND 4.0HAL

Stochastic Modelling of Telomere Length Dynamics During Hematopoiesis

Abstract

We introduce a new stochastic model of telomere length dynamics during hematopoiesis. The numerous cell divisions occurring in this setting makes telomere length dynamics, and in particular their attrition, a crucial aspect of hematopoiesis. After recalling the main aspect of the biological setting, we describe an individual based model of hematopoietic population cells. We then study its behaviour in the large population limit, as well as its fluctuations.

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BibTeX
@misc{baland2026stochastic,
  title = {{Stochastic Modelling of Telomere Length Dynamics During Hematopoiesis}},
  author = {Sophie Baland and Simon Toupance and Denis Villemonais},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12660},
  eprint = {2610.12660},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05787599v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Stochastic Modelling of Telomere Length Dynamics During Hematopoiesis
AU  - Sophie Baland
AU  - Simon Toupance
AU  - Denis Villemonais
PY  - 2026
DA  - 2026/10/08
PB  - HAL
DO  - 10.48550/arxiv.2610.12660
UR  - https://hal.science/hal-05787599v1
AB  - We introduce a new stochastic model of telomere length dynamics during hematopoiesis. The numerous cell divisions occurring in this setting makes telomere length dynamics, and in particular their attrition, a crucial aspect of hematopoiesis. After recalling the main aspect of the biological setting, we describe an individual based model of hematopoietic population cells. We then study its behaviour in the large population limit, as well as its fluctuations.
ER  -