Abstract
Understanding the mechanism of action of compounds capable of inhibiting protein aggregation is critical to the development of potential ther-apeutics against protein misfolding diseases. A fundamental challenge for progress is the range of possible target species and the disparate timescales involved, since the aggregating proteins are simultaneously the reactants, products, intermediates and catalysts of the reaction. It is a complex problem, therefore, to choose the states of the aggregating proteins that should be bound by the compounds to achieve the most potent inhibition. We present here a comprehensive kinetic theory of protein aggregation inhibition which reveals the fundamental thermodynamic and kinetic signatures characterising effective inhibitors by identifying quantitative relationships between the aggregation and binding rate constants. These results provide general physical laws to guide the design and optimisation of protein aggregation inhibitors.