Modeling transposable elements dynamics during polyploidization in plants

In this work we study the proliferation of transposable elements (TEs) and the epigenetic response of plants during the process of polyploidization. Through a deterministic model, expanding on our previous work on TE proliferation under epigenetic regulation, we study the long-term TE distribution and TE stability in the subgenomes of both autopolyploids and allopolyploids. We also explore different small-interfering RNA (siRNA) action modes on the subgenomes, including a model where siRNAs are not directed to specific genomes and one where siRNAs are directed - i.e. more active - in subgenomes with higher TE loads. In the autopolyploid case, we find long-term stable equilbria that tend to equilibrate the number of active TEs between subgenomes. In the allopolyploid case, directed siRNA action is fundamental to avoid a "winner takes all" outcome of the competition between the TEs in the different subgenomes. We also show that decaying oscillations in the number of TEs occur naturally in all cases, perhaps explaining some of the observed features of 'genomic shock' after hybridization events, and that the balance in the dynamics of the different types of siRNA is determinant for the synchronization of these oscillations.