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84

Table 3.3: Performance of reduced model (here kv = feʃ) of HH fork, N = 1501, as
compared with the full model. The first simulation set does not use Branch-Ortho for the
reduced system, while the next four sets use it, leading to far superior accuracy.

Speed-up

% Matched

% Mismatched

Γ

30, no Branch-Ortho

17.5×

349

Ï9?Ô

0.484

10

24.1×

63.4

18.7

0.707

15

22.5×

91.5

4.5

0.933

20

21.2x

94.3

1.5

0.963

30

17.5×

99.6

0

0.998

Table 3.4: Performance of reduced model (here kυ = kf~) of HHA fork, N == 1501, as
compared with the full model.

kv

Speed-up

% Matched

% Mismatched

Γ

20

23.5×

48.27

41.42

0.515

25

22.0×

85.87

0

0.924

30

19.7×

98.9

2.6

0.981

40

15.4×

100

0

1

kept the same, except in this case, we use εj,oca∣ = 10^4 and ε1ζcal = 10-51 and we
use 1000 random stimuli of between 0-250 pA. Note that the tolerances here are
not tuned to give the best performance, but rather have been chosen after just a
little experimentation to give good performance; it is possible that a better choice
may exist. Even though the spatially-varying A-type
K+ conductance necessitates a
slightly larger reduced system in order maintain the accuracy seen in the HH fork,
we still observe a similar speed-up, as Table 3.4 indicates.



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