2013
DOI: 10.4137/becb.s11646
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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… Show more

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Cited by 2 publications
(2 citation statements)
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“…In Eq 13, when the fibre receives an isolated MN discharge, a 1 determines the peak-to-peak amplitude A p of the fibre AP, while a 2 and a 3 respectively determine its time-to-peak duration t tp and exponential decay time constant τ d . The fibre APs simulated with the tuned a i coefficients in Table 1 matched typical experimental cat values for A p (77 mV), t tp (0.6 ms) and τ d (0.6 ms) [67][68][69][70][71][72][73][74][75][76][77], and were five times shorter (Fig 4B) than previously proposed for amphibians at low temperature [28].…”
Section: Mu Excitation Dynamics Dynamics Of Mn Ap Elicitationsupporting
confidence: 80%
“…In Eq 13, when the fibre receives an isolated MN discharge, a 1 determines the peak-to-peak amplitude A p of the fibre AP, while a 2 and a 3 respectively determine its time-to-peak duration t tp and exponential decay time constant τ d . The fibre APs simulated with the tuned a i coefficients in Table 1 matched typical experimental cat values for A p (77 mV), t tp (0.6 ms) and τ d (0.6 ms) [67][68][69][70][71][72][73][74][75][76][77], and were five times shorter (Fig 4B) than previously proposed for amphibians at low temperature [28].…”
Section: Mu Excitation Dynamics Dynamics Of Mn Ap Elicitationsupporting
confidence: 80%
“…13, when the fibre receives an isolated MN discharge, a 1 determines the peak-to-peak amplitude A p of the fibre AP, while a 2 and a 3 respectively determine its time-to-peak duration t tp and exponential decay time constant τ d . The fibre APs simulated with the tuned a i coefficients in Table 1 matched typical experimental cat values for A p (77 mV), t tp (0.6 ms) and τ d (0.6 ms) (Farmer et al, 1960; Brooks & Hongdalarom, 1968; Ludin, 1969; Kopec et al, 1978; Wallinga-De Jonge et al, 1985; Wolters et al, 1994; Balog et al, 1994; Dillmann et al, 1996; Dumitru & King, 1999; Arabadzhiev et al, 2005; Kim et al, 2013), and were five times shorter (Figure 4B) than previously proposed for amphibians at low temperature (Hatze, 1977). …”
Section: Development Of a Mn-driven Neuromuscular Model Described As ...supporting
confidence: 80%