Abstract
We offer a simple mathematical model of gene transcription loss due to accumulated DNA damage in time based on widely agreed biological axioms. Closed
form formulae characterizing the distribution of the underlying stochastic processes representing the transcription loss upon specified number of DNA damages are obtained. Moreover, the asymptotic behavior of the stochastic process
was analyzed. Finally, the distribution of the first hitting time of transcription
loss to specified biologically relevant levels was studied both analytically and
computationally on mice data.
form formulae characterizing the distribution of the underlying stochastic processes representing the transcription loss upon specified number of DNA damages are obtained. Moreover, the asymptotic behavior of the stochastic process
was analyzed. Finally, the distribution of the first hitting time of transcription
loss to specified biologically relevant levels was studied both analytically and
computationally on mice data.
| Original language | English |
|---|---|
| Pages (from-to) | 1-18 |
| Number of pages | 18 |
| Journal | bioRxiv |
| DOIs | |
| Publication status | Published - 18 Jul 2024 |