Temperature-dependent self-assembly of biofilaments during red blood cell sickling

Molecular self-assembly plays a vital role in various biological functions. However, when aberrant molecules self-assemble to form large aggregates, it can give rise to various diseases. For example, sickle cell disease and Alzheimer's disease are caused by self-assembled hemoglobin fibers and amyloid plaques, respectively. Here, we study the assembly kinetics of such fibers using kinetic Monte Carlo simulation. We focus on the initial lag time of these highly stochastic processes, during which self-assembly is very slow. The lag time distributions turn out to be similar for two very different regimes of polymerization, namely, (a) when polymerization is slow and depolymerization is fast and (b) the opposite case, when polymerization is fast and depolymerization is slow. Using temperature-dependent on- and off-rates for hemoglobin fiber growth, reported in recent in vitro experiments, we show that the mean lag time can exhibit non-monotonic behavior with respect to the change in temperature.