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. 2016 Jun 9;121(1):268–278. doi: 10.1152/japplphysiol.00790.2015

Table 4.

Connectivity for the network model

Conduction Times
Source Population Target Population Synaptic Type Min Max Number of Terminals Synaptic Strength Source Population, n Target Population, n Divergence Mean Number of Terminals Convergence
E-Dec P‡ E-Aug-late (#2) Inh_1 2 4 150 0.02 300 600 132.51 ± 3.36 1.13 66.26 ± 7.63
I-Dec‡ E-Aug late (#2) Inh_2 0 5 115 1.0 300 600 104.77 ± 2.71 1.10 52.39 ± 6.40
E-Aug early‡ E-Aug late (#2) Inh_1 0 2 50 0.001 300 600 48.01 ± 1.32 1.04 24.00 ± 4.83
E-Aug late (#1)* I-Dec Inh_1 0 4 55 0.01 300 300 50.33 ± 1.87 1.09 50.33 ± 6.68
E-Aug late (#2)‡ I-Dec Inh_1 0 4 100 0.05 600 300 85.21 ± 3.03 1.17 170.43 ± 10.33
Second-order cough*§ I-Dec Ex_1 0 3 100 0.038 100 300 85.25 ± 2.83 1.17 28.42 ± 5.15
Second-order cough*§ I-Aug Ex_1 0 3 100 0.02 100 300 85.25 ± 2.83 1.17 28.42 ± 5.15
Second-order cough*§ VRC IE Inh_1 0 3 100 0.2 100 99 63.13 ± 3.05 1.58 63.77 ± 5.20
Second-order cough*§ E-Dec P Ex_1 0 3 100 0.015 100 300 85.25 ± 2.83 1.17 28.42 ± 5.15
Second-order cough*§ E-Aug early Ex_1 0 3 100 0.1 100 300 85.25 ± 2.83 1.17 28.42 ± 5.15
Second-order cough*§ E-Aug late (#1) Ex_1 0 3 100 0.06 100 300 85.25 ± 2.83 1.17 28.42 ± 5.15
Second-order cough*§ E-Aug BS Ex_1 0 4 125 0.001 100 300 102.81 ± 3.59 1.22 34.27 ± 4.61
Second-order cough*§ Pump- Inh_1 0 4 250 0.4 100 300 170.45 ± 4.98 1.47 56.82 ± 4.58
Second-order cough*§ PRG cIE Ex_1 0 3 100 0.001 100 100 63.59 ± 3.21 1.57 63.59 ± 5.84
Second-order cough*§ PRG rIE Ex_1 0 3 100 0.001 100 100 63.59 ± 3.21 1.57 63.59 ± 5.84
Second-order cough*§ PRG I Ex_1 0 3 100 0.001 100 100 63.59 ± 3.21 1.57 63.59 ± 5.84
Second-order cough*§ PRG E Ex_1 0 3 100 0.001 100 100 63.59 ± 3.21 1.57 63.59 ± 5.84
Second-order cough*§ PRG EI Ex_1 0 3 100 0.001 100 100 63.59 ± 3.21 1.57 63.59 ± 5.84
Second-order cough*§ E-Dec Pre Ex_1 0 3 100 0.0025 100 300 85.14 ± 3.15 1.11 28.38 ± 3.97
Second-order cough (insp)§ I-Dec Ex_1 0 3 100 0.038 100 300 85.25 ± 2.83 1.17 28.42 ± 5.15
Second-order cough (insp)§ I-Aug Ex_1 0 3 100 0.02 100 300 85.25 ± 2.83 1.17 28.42 ± 5.15
Second-order cough (insp)§ VRC IE Inh_1 0 3 100 0.2 100 99 63.13 ± 3.05 1.58 63.77 ± 5.20
Second-order cough (insp)§ E-Aug late (#2) Ex_1 0 3 100 0.07 100 600 92.11 ± 2.37 1.09 15.35 ± 4.27
Second-order cough (exp)§ E-Dec P Ex_1 0 3 100 0.015 250 300 85.23 ± 2.93 1.17 71.02 ± 9.02
Second-order cough (exp)§ E-Aug early Ex_1 0 3 100 0.1 250 300 85.23 ± 2.93 1.17 71.02 ± 9.02
Second-order cough (exp)§ E-Aug late (#1) Ex_1 0 3 100 0.06 250 300 85.23 ± 2.93 1.17 71.02 ± 9.02
Second-order cough (exp)§ E-Aug BS Ex_1 0 4 125 0.001 250 300 102.33 ± 3.45 1.22 85.28 ± 6.85
Second-order cough (exp)§ Pump- Inh_1 0 4 250 0.4 250 300 170.67 ± 4.79 1.46 142.23 ± 7.14
Second-order cough (exp)§ PRG cIE Ex_1 0 3 100 0.001 250 100 63.42 ± 3.05 1.58 158.54 ± 10.15
Second-order cough (exp)§ PRG rIE Ex_1 0 3 100 0.001 250 100 63.42 ± 3.05 1.58 158.54 ± 10.15
Second-order cough (exp)§ PRG I Ex_1 0 3 100 0.001 250 100 63.42 ± 3.05 1.58 158.54 ± 10.15
Second-order cough (exp)‡§ PRG E Ex_1 0 3 100 0.001 250 100 63.42 ± 3.05 1.58 158.54 ± 10.15
Second-order cough (exp)§ PRG EI Ex_1 0 3 100 0.001 250 100 63.42 ± 3.05 1.58 158.54 ± 10.15
Second-order cough (exp)§ E-Dec Pre Ex_1 0 3 100 0.0025 250 300 85.08 ± 3.08 1.18 70.90 ± 6.53
Second-order cough feed-forward inhibition Second-order cough Inh_1 0 2 500 0.02 100 250 215.94 ± 3.74 2.32 86.38 ± 3.09
Second-order cough feed-forward inhibition Second-order cough (exp) Inh_1 0 2 500 0.02 100 250 215.94 ± 3.74 2.32 86.38 ± 3.09
Second-order cough feed-forward inhibition Second-order cough (insp) Inh_1 0 2 500 0.02 100 100 99.33 ± 0.91 5.03 99.33 ± 0.85

Symbols indicate connections present in the base model from Poliaček et al. (48) and version 1 that were removed from version 2 (

*

) and connections added to the base model (48) to create version 1 (

) and version 2 (

) of the computational model.

§

Connection relaying a perturbation to the network model. Connections between individual neurons were made according to a sequence of pseudorandom numbers calculated from a unique seed number for each source-to-target connection. Targets were chosen with replacement. This table includes the mean ± SD of the number of neurons in each target population innervated by each source neuron in each population. Corresponding values are also shown for source neurons that innervated each target neuron in each population. These data indicate the extent of divergence and convergence, respectively. Most neurons in each source population made a single terminal connection with each target neuron. Mean number of terminals, the mean number of terminals from each source neuron innervating each target neuron. The efficacy of connections between populations of neurons was influenced by the change in conductance associated with each action potential at a synapse (synaptic strength) and the number of terminals for each axon. Synaptic types were distinguished by their equilibrium potentials and time constants. The time constant of some synapses was slightly longer than others because troughs in cross-correlograms from which the particular synaptic connections were inferred tended to have longer durations. Six types of synapses were used in the simulation: type 1 excitatory (Ex_1, equilibrium potential of 115.0 mV; time constant, 1.5 ms), type 3 excitatory (Ex_3, equilibrium potential, 115.0 mV; time constant, 5.0 ms), type 1 inhibitory (Inh_1, equilibrium potential, −25.0 mV; time constant, 1.5 ms), type 2 inhibitory (Inh_2, equilibrium potential, −25.0 mV; time constant, 2.0 ms), type 4 inhibitory (Inh_4, equilibrium potential, −25.0 mV; time constant, 5.0 ms), and presynaptic modulation (Pre, time constant, 1.5 ms). If the value of the presynaptic modulatory strength parameter (synaptic strength) was <1.0, the strength of the connection it modulates was reduced to the product of the presynaptic synaptic strength parameter and target synapse conductance. If the presynaptic synaptic strength parameter was >1.0, the amount by which it was >1 is added to its target synapse's conductance. Minimum and maximum conduction times are expressed in 0.5-ms simulation clock ticks for each source-to-target axon population. Number of terminals, number of terminals from source neuron; cIE, caudal IE; rIE, rostral IE.