Abstract
The terminal structures of linear mitochondrial DNA in yeast consist of repetitive long tandem units of different lengths (telomeres). Besides these linear telomeres other cyclic configurations as telomeric circles and telomeric loops were observed experimentally and are suspected to play an important role in the alternative mechanism of the telomere length maintenance in the absence of telomerase (ALT).In this work we construct a mathematical model that captures biophysical interactions of various telomeric structures on a short time scale and that is able to reproduce experimental measurements in C. parapsilosis, P. philodendra and C. salmanticensis. We identify the key factors influencing the length distribution of telomeric circles, linear telomeres and telomeric loops using numerical simulations for the model we have constructed. Moreover, the model opens up a couple of interesting open mathematical problems in quasi-steady state approximation and discrete coagulation-fragmentation dynamical systems.
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