“…In modern research, biologically inspired neural networks (BINNs) are used extensively in various fields such as finance, medicine, biomedical, geology, and material science to find the most accurate numerical solutions by solving real-world problems in terms of differential equations or their system. The most recent BINNs applications are, Thin-film flow [32], Painlevé-I model [33], pantograph model [34], Heart diseases prediction model [35], Ferrofluid model [36], noise interference model [37], Falkner-Skan model [38], Emden-Fowler model [39], Dengue model [40], Echo model [41], power planning [42], COVID-19 [43], Thomas-Fermi paradigm [44], wind power [45], corneal shape model [46], autoregressive control model [47], and hybrid nanofluid model [48]. As per the best of the author's knowledge, the designed solver based on inverse multiquadric radial basis function, that is, BINNs-IMQK is never yet used to solve the MHD nanofluid flow model over an exponential surface under uneven heat source/sink effects in a permeable medium.…”