Model . | Variables V+M+N . | Matrix . | Noise Dimensions Na+K . | Norm (msec.) (Wasserstein Dist.) . | Run Time (sec.) . |
---|---|---|---|---|---|
MC | 1+8+5 | n/a | 20+8 | 3790 | |
Fox94 | 1+7+4 | 7+4 | 2436 | ||
Fox97 | 1+2+1 | n/a | 3 | 67 | |
Dangerfield | 1+8+5 | 10+4 | 655 | ||
Goldwyn | 1+8+5 | 8+5 | 2363 | ||
Orio | 1+8+5 | 10+4 | 577 | ||
D | 1+8+5 | 20+8 | 605 | ||
SS | 1+8+5 | 4+2 | 73 |
Model . | Variables V+M+N . | Matrix . | Noise Dimensions Na+K . | Norm (msec.) (Wasserstein Dist.) . | Run Time (sec.) . |
---|---|---|---|---|---|
MC | 1+8+5 | n/a | 20+8 | 3790 | |
Fox94 | 1+7+4 | 7+4 | 2436 | ||
Fox97 | 1+2+1 | n/a | 3 | 67 | |
Dangerfield | 1+8+5 | 10+4 | 655 | ||
Goldwyn | 1+8+5 | 8+5 | 2363 | ||
Orio | 1+8+5 | 10+4 | 577 | ||
D | 1+8+5 | 20+8 | 605 | ||
SS | 1+8+5 | 4+2 | 73 |
Notes: Model (see text for details): MC: Markov chain. Fox94; From Fox and Lu (1994). Fox97: Fox (1997). Goldwyn: Goldwyn and Shea-Brown (2011). Dangerfield: Dangerfield et al. (2010, 2012). D: model proposed in section 3.2. SS: stochastic-shielding model (see section 3.3). Variables: number of degrees of freedom in Langevin equation representing voltage, sodium gates, and potassium gates, respectively. Matrix: Form of the noise coefficient matrix in equations 1.1 to 1.3. Noise dimensions: number of independent gaussian white noise sources represented for sodium and potassium, respectively. Norm: Empirically estimated -Wasserstein distance between the model's ISI distribution and the MC model's ISI distribution. For MC versus MC, independent trials were compared. : meanstandard deviation. Run time (in seconds): see text for details.