The present invention provides a conductive hydrogel comprising a polystyrene sulfonate compound selected from poly(3,4-ethylenedioxythiophene) polystyrene sulfonate (PEDOT:PSS), reduced graphene oxide polystyrene sulfonate (rGO:PSS) and rGO:PEDOT:PSS; and a conjugate of polyethylene glycol (PEG) and a linker-(BX)n oligopeptide of formula (I)PEG-linker-(BX)n ; ;(I)wherein B is lysine or arginine, X is selected from alanine, glycine, serine, threonine, tyrosine, glutamic acid or aspartic acid and n is an integer selected from 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20. The invention further relates to processes for assembling the conductive hydrogel. The conductive hydrogel can be used in various biomedical applications, such as neuroprostheses, biosensors, nerve grafts, cell culture and encapsulation of cells and microorganisms as well as for drug delivery.