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Merge pull request #116 from NACLab/main
minor edit to math in hh-lesson doc
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docs/tutorials/neurocog/hodgkin_huxley_cell.md

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@@ -82,7 +82,7 @@ neurons and muscle cells. It is a continuous-time dynamical system.
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Formally, the core dynamics of the H-H cell can be written out as follows:
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$$
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\tau_v \frac{\partial \mathbf{v}_t}{\partial t} &= \mathbf{j}_t - g_Na * \mathbf{m}^3_t * \mathbf{h}_t * (\mathbf{v}_t - v_Na) - g_K * \mathbf{n}^4_t * (\mathbf{v}_t - v_K) - g_L * (\mathbf{v}_t - v_L) \\
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\tau_v \frac{\partial \mathbf{v}_t}{\partial t} &= \mathbf{j}_t - g_{Na} * \mathbf{m}^3_t * \mathbf{h}_t * (\mathbf{v}_t - v_{Na}) - g_K * \mathbf{n}^4_t * (\mathbf{v}_t - v_K) - g_L * (\mathbf{v}_t - v_L) \\
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\frac{\partial \mathbf{n}_t}{\partial t} &= \alpha_n(\mathbf{v}_t) * (1 - \mathbf{n}_t) - \beta_n(\mathbf{v}_t) * \mathbf{n}_t \\
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\frac{\partial \mathbf{m}_t}{\partial t} &= \alpha_m(\mathbf{v}_t) * (1 - \mathbf{m}_t) - \beta_m(\mathbf{v}_t) * \mathbf{m}_t \\
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\frac{\partial \mathbf{h}_t}{\partial t} &= \alpha_h(\mathbf{v}_t) * (1 - \mathbf{h}_t) - \beta_h(\mathbf{v}_t) * \mathbf{h}_t

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