Modeling Entropic and Energetic Effects of Linker Length and Rigidity within Synthetic HIV-1 Antibodies designed to Bind Bivalently to Env Spikes

Due to the low density of envelope (Env) spikes on the surface of HIV-1, neutralizing IgG antibodies rarely bind bivalently using both antigen-binding arms (Fabs) to crosslink between spikes (inter-spike crosslinking), instead resorting to weaker monovalent binding that is more sensitive to Env mutations. Antibodies capable of bivalently binding within single Env trimers (intra-spike crosslinking) should exhibit increased neutralization potencies. Here we consider synthetic diFabs joined by varying lengths of rigid double-stranded DNA (dsDNA). We asked whether linkers with different rigidities could enhance diFab potency by modeling DNA-Fabs containing different combinations of rigid dsDNA and flexible single-stranded DNA (ssDNA) and created a model that predicts their neutralization potencies. Model predictions showed that although a long flexible polymer may be capable of bivalent binding, it exhibits weak neutralization due to the large loss in entropic degrees of freedom during bivalent binding. In contrast, the strongest neutralization potencies were predicted to require a rigid linker that optimally spanned the distance between two Fab binding sites on an Env trimer. These results inform the design of bivalent anti-HIV-1 therapeutics that utilize avidity effects to remain potent against HIV-1 in the face of the rapid mutation of Env spikes.