Derivation of cable parameters for a reduced model that retains asymmetric voltage attenuation of reconstructed spinal motor neuron dendrites

Kim, Hojeong; Major, Lora A.; Jones, Kelvin E.

doi:10.1007/s10827-009-0145-7

Cited by 24 publications

(48 citation statements)

References 48 publications

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“…(3) & (4) are in our previous report (Kim et al 2009). The nonlinear dynamics of the symmetric model with Morris-Lecar dynamics has been fully characterized as a function of the coupling parameter (G C ) (Booth and Rinzel 1995).…”

Section: Symmetric and Asymmetric Reduced Modelsmentioning

confidence: 52%

“…The reduced model used in the study was based on the physiological two-compartment framework that captures direction-dependant voltage attenuation (DDVA) properties and includes the minimum essential biophysical properties of input resistance and time constant (Kim et al 2009). Figure 1 shows the schematic diagram of the physiological two-compartment model.…”

Section: Symmetric and Asymmetric Reduced Modelsmentioning

confidence: 99%

“…To generate an asymmetric model we follow the procedures outlined in (Kim et al 2009). First an anatomically reconstructed neuron with measured values of input resistance (R N ) and membrane time constant (τ m ) is chosen.…”

Section: Symmetric and Asymmetric Reduced Modelsmentioning

confidence: 99%

“…1; Active membrane parameters defined based on Morris-Lecar model as in Appendix; p and electrotoics of the asymmetric model was measured from an anatomically reconstructed motor neuron (V1 in Table 1, Kim et al 2009), in turn passive membrane properties were calculated using inverse equations (Eq. 15a-d in Kim et al 2009) …”

Section: Active Dynamics Of Models: Bistabilitymentioning

confidence: 99%

“…After this characterization is complete the influence of signal propagation on neuronal output behaviour can be evaluated. We recently investigated the first issue using anatomically reconstructed motor neuron models (Kim et al 2009). In that study we characterized steady-state electrotonic coupling between the soma and a specific dendritic location using the empirically determined direction-dependant voltage attenuation (DDVA).…”

Section: Introductionmentioning

confidence: 99%

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Asymmetric electrotonic coupling between the soma and dendrites alters the bistable firing behaviour of reduced models

Kim

Jones

2010

J Comput Neurosci

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The goal of the study was to investigate the influence of asymmetric coupling, between the soma and dendrites, on the nonlinear dynamic behaviour of a two-compartment model. We used a recently published method for generating reduced two-compartment models that retain the asymmetric coupling of anatomically reconstructed motor neurons. The passive input-output relationship of the asymmetrically coupled model was analytically compared to the symmetrically coupled case. Predictions based on the analytic comparison were tested using numerical simulations. The simulations evaluated the nonlinear dynamics of the models as a function of coupling parameters. Analytical results showed that the input resistance at the dendrite of the asymmetric model was directly related to the degree of coupling asymmetry. In contrast, a comparable symmetric model had identical input resistances at both the soma and dendrite regardless of coupling strength. These findings lead to predictions that variations in dendritic excitability, subsequent to changes in input resistance, might change the current threshold and onset timing of the plateau potential generated in the dendrite. Since the plateau potential underlies bistable firing, these results further predicted that asymmetric coupling might alter nonlinear (i.e. bistable) firing patterns. The numerical simulations supported analytical predictions, showing that the fully bistable firing pattern of the asymmetric model depended on the degree of coupling asymmetry and its correlated dendritic excitability. The physiological property of asymmetric coupling plays an important role in generating and stabilizing the bistability of motor neurons by interacting with the excitability of dendritic branches.

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Section: Symmetric and Asymmetric Reduced Modelsmentioning

confidence: 52%

Section: Symmetric and Asymmetric Reduced Modelsmentioning

confidence: 99%

Section: Symmetric and Asymmetric Reduced Modelsmentioning

confidence: 99%

Section: Active Dynamics Of Models: Bistabilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Asymmetric electrotonic coupling between the soma and dendrites alters the bistable firing behaviour of reduced models

Kim

Jones

2010

J Comput Neurosci

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The Cellular Basis for the Generation of Firing Patterns in Human Motor Units

Khurram

Pearcey

Chardon

et al. 2022

Advances in Neurobiology

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Analysis of impulse adaptation in motoneurons

2009

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Animal locomotion results from muscle contraction and relaxation cycles that are generated within the central nervous system and then are relayed to the periphery by motoneurons. Thus, motoneuron function is an essential element for understanding control of animal locomotion. This paper presents motoneuron input-output relationships, including impulse adaptation, in the medicinal leech. We found that although frequency-current graphs generated by passing 1-s current pulses in neuron somata were non-linear, peak and steady-state graphs of frequency against membrane potential were linear, with slopes of 5.2 and 2.9 Hz/mV, respectively. Systems analysis of impulse frequency adaptation revealed a static threshold nonlinearity at -43 mV (impulse threshold) and a single time constant (tau = 88 ms). This simple model accurately predicts motoneuron impulse frequency when tested by intracellular injection of sinusoidal current. We investigated electrical coupling within motoneurons by modeling these as three-compartment structures. This model, combined with the membrane potential-impulse frequency relationship, accurately predicted motoneuron impulse frequency from intracellular records of soma potentials obtained during fictive swimming. A corollary result was that the product of soma-to-neurite and neurite-to-soma coupling coefficients in leech motoneurons is large, 0.85, implying that the soma and neurite are electrically compact.

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Derivation of cable parameters for a reduced model that retains asymmetric voltage attenuation of reconstructed spinal motor neuron dendrites

Cited by 24 publications

References 48 publications

Asymmetric electrotonic coupling between the soma and dendrites alters the bistable firing behaviour of reduced models

Asymmetric electrotonic coupling between the soma and dendrites alters the bistable firing behaviour of reduced models

The Cellular Basis for the Generation of Firing Patterns in Human Motor Units

Analysis of impulse adaptation in motoneurons

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