Mathematical approach to understand the kinetics of α-synuclein aggregation: Relevance to Parkinson's disease

α-Synuclein aggregation is a hallmark pathological feature in Parkinson's disease (PD). The conversion of α-synuclein from soluble monomer to insoluble aggregates through the toxic oligomeric intermediates underlie the neurodegeneration associated with PD. Redox active metal ions such as iron (Fe) and copper (Cu) are known to enhance α-synuclein fibrillogenesis. In the present study, we have implemented mathematical approach to monitor the kinetics of aggregation of α-synuclein nucleation and elongation constants based on fluorescence studies. In this pretext, we have implemented mathematical simulations like self and absolute analysis. The mathematical model discussed in this paper is the first of its kind and might prove useful for predicting the drug intervention time to prevent α-synuclein aggregation and has future clinical application.