Homotopy analysis method applied to protein aggregation models

Abstract

Irregular folding of proteins can lead to the formation of insoluble fibers known as amyloids, that generate severe disorders such as Alzheimer's disease, type II diabetes, Creutzfeldt-Jakob disease, or spongiform encephalopathy Bovine.In this paper, we approximate rescaled concentrations of proteins, proteic nuclei and amyloid fibers by using the homotopy analysis method (HAM).