Motor Neuron Pool ODE System

Available identifiers

MaRDI QIDQ6674513

two coupled ODEs which describe the transmembrane potentials

Description

Transmembrane potentials in the soma and the dendrite compartments.

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Defining Formula: $\begin{array}{cc}\frac{\text{d}{V}_{\text{m}}^{\text{d}}}{\text{d}t}& =\frac{1}{C_{\text{m}}^{\text{d}}}(-I_{\text{ion}}^{\text{d}}(V_{\text{m}}^{\text{d}})-I_{\text{C}}^{\text{d}}(V_{\text{m}}^{\text{d}},V_{\text{m}}^{\text{s}}))\\ \frac{\text{d}{V}_{\text{m}}^{\text{s}}}{\text{d}t}& =\frac{1}{C_{\text{m}}^{\text{s}}}(-I_{\text{ion}}^{\text{s}}(V_{\text{m}}^{\text{s}})-I_{\text{C}}^{\text{s}}(V_{\text{m}}^{\text{d}},V_{\text{m}}^{\text{s}})+I_{\text{spindle}}({\lambda }_{\text{f}},{\dot{\lambda }}_{\text{f}})+I_{\text{ext}})\\ \end{array}$

$t$ symbol represents Time

$C_{\text{m}}$ symbol represents Membrane Capacitance

$I_{\text{C}}$ symbol represents Coupling Current

$I_{\text{ext}}$ symbol represents Neural Input

$I_{\text{ion}}$ symbol represents Ion Current

$I_{\text{spindle}}$ symbol represents Sensory Organ Current

$V_{\text{m}}$ symbol represents Transmembrane Potential

${\lambda }_{\text{f}}$ symbol represents Fiber Stretch

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