HSF1 and synucleinopathy: In addition to the role of autophagy-lysosomal activity on the HSF1 protein turnover, given highly poly-ubiquitinated HSF1 protein in N2a-TauRD ΔK280 (S5B Fig), it is necessary to investigate the involvement of ubiquitin-proteasome system in tauopathy as we did in synucleinopathy [19].