Mathematical Modelling of PfEMP1 Gene Regulation: GF(2) Insights into Chromatin-Mediated Virulence Switching in Plasmodium Falciparum

Abstract:

Plasmodium falciparum possesses complex regulatory mechanisms that enable it to adapt to the host environment and regulate virulence-associated gene expression. PfEMP1, encoded by the var gene family, plays a central role in parasite pathogenicity and immune evasion. However, the mathematical relationship between PfEMP1 expression and epigenetic regulatory factors remains an important area for understanding parasite transcriptional control. In this study, a finite-field modeling approach was applied to investigate the relationship between PfEMP1 expression and key epigenetic regulators, including PfSIR2A, HP1, and H3K9me3. The parasite regulatory network was represented as a discrete dynamical system and fixed points were identified. Analysis of the fixed-points demonstrated a consistent inverse relationship between PfEMP1 expression and the epigenetic repression-associated state represented by PfSIR2A, HP1, and H3K9me3. PfEMP1 repression was associated with an active epigenetic state (PfSIR2A, HP1, H3K9me3) = (1,1,1), while PfEMP1 activation corresponded with a repressed epigenetic state (PfSIR2A, HP1, H3K9me3) = (0,0,0). These findings suggest that PfEMP1 regulation is controlled through an epigenetic switching mechanism.