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. The excessive proliferation of fibroblasts causes fibrosis, a hallmark of atrial fibrillation (AF), and leads to alterations in the electrical conduction within the heart. However, the underlying electrophysiological mechanisms behind the multifactorial characteristic of AF fibrosis are not fully understood. This work studies the electrophysiological properties of different fibrosis configurations using computational simulations. For this purpose, the intermingling action of the structural and electrical remodeling due to fibroblasts are implemented in an electrophysiological description of the AF fibrosis. The model is built on the base of complex order operators and a fibroblast ionic formulation. Additionally, three fibrosis textures are considered for designing the atrial tissue representations. The resting and depolarization properties are analyzed by means of information theory and multidimensional scaling. The results evinced that the modulation of cardiomyocytes resting potential, exerted by the fibroblasts, is the mechanism giving rise to emergent electrophysiological properties as a result of the synergetic mathematical formulation of the proposed fibrosis model. The metrics assessing such properties unravel distinctive signatures of each fibrosis texture. Additionally, the multidimensional scaling computational tool reveals clusters specifically determined by the resting and depolarization properties, or by their combination. The observed clusters support an electrophysiological interpretation through the underlying fibrosis configuration, in which the diffuse, patchy and compact textures are relevant in determining the emergent patterns.