title: An Empirical Muscle Intracellular Action Potential Model with Multiple Erlang Probability Density Functions based on a Modified Newton Method.
abstract: The convolution of the transmembrane current of an excitable cell and a weighting function generates a single fiber action potential (SFAP) model by using the volume conductor theory. Here, we propose an empirical muscle IAP model with multiple Erlang probability density functions (PDFs) based on a modified Newton method. In addition, we generate SFAPs based on our IAP model and referent sources, and use the peak-to-peak ratios (PPRs) of SFAPs for model verification. Through this verification, we find that the relation between an IAP profile and the PPR of its SFAP is consistent with some previous studies, and our IAP model shows close profiles to the referent sources. Moreover, we simulate and discuss some possible ionic activities by using the Erlang PDFs in our IAP model, which might present the underlying activities of ions or their channels during an IAP.
authors.affiliation: Department of Otolaryngology, Washington University School of Medicine, St. Louis, MO, USA.
authors.forename: Gyutae
authors.initials: G
authors.lastname: Kim
authors.affiliation: School of Engineering Technology, ECPI University, Virginia Beach, VA, USA.
authors.forename: Mohammed M
authors.initials: MM
authors.lastname: Ferdjallah
authors.affiliation: Department of Modeling, Simulation and Visualization Engineering, Old Dominion University, Norfolk, VA, USA.
authors.forename: Frederic D
authors.initials: FD
authors.lastname: McKenzie
keywords: ionic activities in cell excitation; muscle intracellular action potential model; numerical optimization; peak-to-peak ratio; single fiber action potential