Abstract:
:Calculation of the total conductance change induced by multiple synapses at a given membrane compartment remains one of the most time-consuming processes in biophysically realistic neural network simulations. Here we show that this calculation can be achieved in a highly efficient way even for multiply converging synapses with different delays by means of the zeta-transform. Using the example of an NMDA synapse, we show that every update of the total conductance is achieved by an iterative process requiring at most three recent multiplications, which together need only the history values from the two most recent iterations. A major advantage is that this small computational load is independent of the number of synapses simulated. A benchmark comparison to other techniques demonstrates superior performance of the zeta-transform. Nonvoltage-dependent synaptic channels can be treated similarly (Olshausen, 1990; Brettle & Niebur, 1994), and the technique can also be generalized to other synaptic channels.
journal_name
Neural Computjournal_title
Neural computationauthors
Köhn J,Wörgötter Fdoi
10.1162/089976698300017061subject
Has Abstractpub_date
1998-10-01 00:00:00pages
1639-51issue
7eissn
0899-7667issn
1530-888Xjournal_volume
10pub_type
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