PMID- 23895049
OWN - NLM
STAT- MEDLINE
DCOM- 20140605
LR  - 20191210
IS  - 1530-888X (Electronic)
IS  - 0899-7667 (Linking)
VI  - 25
IP  - 12
DP  - 2013 Dec
TI  - On the continuous differentiability of inter-spike intervals of synaptically 
      connected cortical spiking neurons in a neuronal network.
PG  - 3183-206
LID - 10.1162/NECO_a_00503 [doi]
AB  - We derive conditions for continuous differentiability of inter-spike intervals 
      (ISIs) of spiking neurons with respect to parameters (decision variables) of an 
      external stimulating input current that drives a recurrent network of 
      synaptically connected neurons. The dynamical behavior of individual neurons is 
      represented by a class of discontinuous single-neuron models. We report here that 
      ISIs of neurons in the network are continuously differentiable with respect to 
      decision variables if (1) a continuously differentiable trajectory of the 
      membrane potential exists between consecutive action potentials with respect to 
      time and decision variables and (2) the partial derivative of the membrane 
      potential of spiking neurons with respect to time is not equal to the partial 
      derivative of their firing threshold with respect to time at the time of action 
      potentials. Our theoretical results are supported by showing fulfillment of these 
      conditions for a class of known bidimensional spiking neuron models.
FAU - Kumar, Gautam
AU  - Kumar G
AD  - Department of Chemical Engineering & Bioengineering Program, Lehigh University, 
      Bethlehem, PA 18015, U.S.A. gak206@gmail.com.
FAU - Kothare, Mayuresh V
AU  - Kothare MV
LA  - eng
PT  - Journal Article
PT  - Research Support, U.S. Gov't, Non-P.H.S.
DEP - 20130729
PL  - United States
TA  - Neural Comput
JT  - Neural computation
JID - 9426182
SB  - IM
MH  - Action Potentials/*physiology
MH  - *Brain-Computer Interfaces
MH  - *Neural Networks, Computer
MH  - Neurons/*physiology
EDAT- 2013/07/31 06:00
MHDA- 2014/06/06 06:00
CRDT- 2013/07/31 06:00
PHST- 2013/07/31 06:00 [entrez]
PHST- 2013/07/31 06:00 [pubmed]
PHST- 2014/06/06 06:00 [medline]
AID - 10.1162/NECO_a_00503 [doi]
PST - ppublish
SO  - Neural Comput. 2013 Dec;25(12):3183-206. doi: 10.1162/NECO_a_00503. Epub 2013 Jul 
      29.