85
Figure 3.4: DEIM points computed for the HH forked neuron when branchwise orthogonal-
ization is (a) not used and (b) used. The improvement from using Branch-Ortho is evident
in the qualitative difference in DEIM point location: notice that in (a) the lower-right
branch has few DEIM points, whereas in (b) the DEIM points are more evenly distributed.
In (b) there is a small cluster of points near the junction, with each point lying on distinct
branches.
3.3.4 Branched Cell Obeying Rall’s 3/2 Power Law
To examine more complex branching patterns we now consider a binary branching
tree which satisfies the 3/2 power law as explained in (Rall, 1959). The cell has a
depth of 3 (for a total of 15 branches), and the root branch has length 200 μm and
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