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. Author manuscript; available in PMC: 2019 Nov 15.
Published in final edited form as: J Phys Chem B. 2019 Aug 15;123(34):7302–7312. doi: 10.1021/acs.jpcb.9b04729

Table 3.

FitzHugh–Nagumo Model Resultsa

parameter a b c β
Without noise
true values 0.2 0.2 3 0.75
estimated values 0.2001 0.1999 3.0001 0.7500
standard deviation 0.0001 0.0013 0.0032 0.0001
σ2 = 0.05 for the noise
true values 0.2 0.2 3 0.75
estimated values 0.2005 0.1995 3.0020 0.7498
standard deviation 0.0012 0.0016 0.0160 0.0018
σ2 = 0.1 for the noise
true values 0.2 0.2 3 0.75
estimated values 0.1895 0.1841 3.046 0.7702
standard deviation 0.0114 0.0280 0.0243 0.0124
σ2 = 0.2 for the noise
true values 0.2 0.2 3 0.75
estimated values 0.1543 0.2317 2.9056 0.6924
standard deviation 0.0189 0.0372 0.0662 0.0726
a

Results of parameter estimation for the FitzHugh–Nagumo model obtained by considering increasing noise as before (the rates are in units of min−1). See Table 1 for details on the standard deviation.