H. Mofidi, New Insights into the Effects of Small Permanent Charge on Ionic Flows: A Higher Order Analysis.
Journal of Mathematical Biosciences and Engineering, 2024.
H. Mofidi and W. Yang, Physics-Informed Neural Networks and Geometric Singular Perturbation Theory for Stiff ODE BVPs: A hybrid approach to multiple timescale dynamics (working)
Sh. Lal, H. Mofidi, and H. Yavartanoo, Stochastic relaxation and diffusion probabilistic models for image restoration (working)
H. Mofidi and Y. Wang, NMDAr-AMPAr interactions via a Morris-Lecar Model to study synchronization of neural dynamics (Submitted)
Y. Fu, W. Liu, H. Mofidi and M. Zhang, Finite ion size effects on ionic flows via PNP systems: Higher-order contributions, J. Dynamics and Differential Equations (2022)
H. Mofidi, Reversal permanent charge and concentrations in ionic flows via Poisson-Nernst-Planck models, Quarterly of Applied Mathematics 79 (4), 581-600 (2021)
H. Mofidi, W. Liu, Reversal Potential and Reversal Permanent Charge With Unequal Diffusion Coefficients via Classical Poisson--Nernst--Planck Models, SIAM Journal on Applied Mathematics 80 (4), 1908-1935 (2020)
W. Liu and H. Mofidi, Local Hard-Sphere Poisson-Nernst-Planck Models for Ionic Channels with Permanent Charges (File in arXiv)
H. Mofidi, B. Eisenberg, W. Liu, Effects of diffusion coefficients and permanent charge on reversal potentials in ionic channels, Entropy 22 (3), 325 (2020)
H. Mofidi, F. Hadadifard, Weights guaranteeing pole-free barycentric rational interpolation, INDJST, Vol 6(11), 5450-5458 (2013)
H. Mofidi, B. Ghanbari, M. Gholami, A class of iterative methods with cubic convergence to solve nonlinear equations, IJMA, Vol 4(8), 130-134 (2013)
Thesis: Electrodiffusion in Ionic Channels via PNP Models (2020) (You can find it here!)