Nav1p6_MA2024_PC

class braincell.channel.Nav1p6_MA2024_PC(size, temp=Quantity(295.15, 'K'), g_max=Quantity(16., 'mS / cm^2'), name=None, solver=None, substeps=None)

Resurgent Nav1.6 sodium current, Purkinje-cell parameterisation.

The same 13-state Raman & Bean [1] / Khaliq et al. [2] resurgent sodium Markov scheme documented in Nav1p6_MA2020_GoC, as implemented by Akemann & Knopfel (2006) [3] and reused unchanged for the human Purkinje-cell model of (Masoli et al., 2024) [4].

Parameters:

• size (int | Sequence[int] | integer | Sequence[integer]) – Channel state shape.

• temp (Array | ndarray | bool | number | bool | int | float | complex | Quantity) – Absolute temperature driving the \(\phi\) factor, default 22 degrees Celsius. Inherited from Nav1p6_MA2020_GoC.

• g_max (Array | ndarray | bool | number | bool | int | float | complex | Quantity | Callable) – Maximal conductance density, default 16.0 mS/cm2. Inherited from Nav1p6_MA2020_GoC.

• name (str | None) – Optional channel name.

• solver (str | None) – Override for Markov’s default ODE solver.

• substeps (int | None) – Override for Markov’s default substep count.

See also

Nav1p6_MA2020_GoC

The base class; full equations, state topology and constant values are documented there.

Nav1p6_MA2025_BC

Same scheme and constants, basket-cell model citation.

Nav1p6_RI2021_SC

Same scheme and constants, stellate-cell model citation.

Notes

Ported from Nav1p6_MA24_PC.mod. This class does not override __init__: the constructor, the transition-rate lambdas, the fixed kinetic constants and current() are all inherited unchanged from Nav1p6_MA2020_GoC. Only the register_channel key and this docstring’s model citation differ – the .mod file this class ports from parameterises the identical mechanism for a different cell type, not a different kinetic scheme.

No import deviation is recorded for this mechanism in the bibliography’s MA2024 import-deviations tables.

References

[1]

Raman, I. M., & Bean, B. P. (2001). Inactivation and recovery of sodium currents in cerebellar Purkinje neurons: evidence for two mechanisms. Biophysical Journal, 80(2), 729-737. doi:10.1016/S0006-3495(01)76052-3

[2]

Khaliq, Z. M., Gouwens, N. W., & Raman, I. M. (2003). The contribution of resurgent sodium current to high-frequency firing in Purkinje neurons: an experimental and modeling study. The Journal of Neuroscience, 23(12), 4899-4912. doi:10.1523/JNEUROSCI.23-12-04899.2003

[3]

Akemann, W., & Knopfel, T. (2006). Interaction of Kv3 potassium channels and resurgent sodium current influences the rate of spontaneous firing of Purkinje neurons. The Journal of Neuroscience, 26(17), 4602-4612. doi:10.1523/JNEUROSCI.5204-05.2006

[4]

Masoli, S., Sanchez-Ponce, D., Vrieler, N., Abu-Haya, K., Lerner, V., Shahar, T., Nedelescu, H., Rizza, M. F., Benavides-Piccione, R., DeFelipe, J., Yarom, Y., Munoz, A., & D’Angelo, E. (2024). Human Purkinje cells outperform mouse Purkinje cells in dendritic complexity and computational capacity. Communications Biology, 7(1), 5. doi:10.1038/s42003-023-05689-y

reset_state(V, Na, batch_size=None)

Reset the state of the ion channel.

This method should reset all state variables of the channel to their initial values.

Parameters:

• *args – Variable length argument list.

• **kwargs – Arbitrary keyword arguments.