Modelling the compartmentalization of splicing factors

Splicing factor (SF) compartments, also known as speckles, are heterogeneously distributed compartments within the nucleus of eukaryotic cells that are enriched in pre-mRNA SFs. We derive a fourth-order aggregation-diffusion model that describes a possible mechanism underlying the organization of SFs into speckles. The model incorporates two hypotheses, namely (1) that self-organization of dephosphorylated SFs, modulated by a phosphorylation-dephosphorylation cycle, is responsible for the formation and disappearance of speckles, and (2) that an underlying nuclear structure plays a major role in the organization of SFs. A linear stability analysis about homogeneous steady-state solutions of the model reveals how the self-interaction among dephosphorylated SFs can result in the onset of spatial patterns. A detailed bifurcation analysis of the model describes how phosphorylation and dephosphorylation modulate the onset of the compartmentalization of SFs.