A computational view of electrophysiological properties under different atrial fibrosis conditions

•A novel synergetic mathematical formulation of atrial fibrosis based on fibroblast remodeling and the fibrosis texture.•Fibroblasts local modulation and fractional derivative non-local effect set the shape of the resting potential distribution.•The resting state analysis suggests strong dissimilarities between the patchy texture and the diffuse and compact textures.•The depolarization dynamics analysis reveals additional patterns while keeping those determined by the fibrosis textures.