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+  <h1>Source code for mndynamics.models.py.ch04</h1><div class="highlight"><pre>
+<span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
+<span class="kn">from</span> <span class="nn">numpy</span> <span class="kn">import</span> <span class="n">exp</span>
+<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
+<span class="kn">from</span> <span class="nn">scipy.integrate</span> <span class="kn">import</span> <span class="n">odeint</span>
+<span class="kn">from</span> <span class="nn">mndynamics.models.py.HH_Base</span> <span class="kn">import</span> <span class="n">HH</span> <span class="k">as</span> <span class="n">_HH</span>
+
+
+<div class="viewcode-block" id="HH_SOLUTION">
+<a class="viewcode-back" href="../../../../modules.html#mndynamics.models.py.ch04.HH_SOLUTION">[docs]</a>
+<span class="k">class</span> <span class="nc">HH_SOLUTION</span><span class="p">(</span><span class="n">_HH</span><span class="p">):</span>
+
+    <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">par</span><span class="o">=</span><span class="p">{}):</span>
+        <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">(</span><span class="n">par</span><span class="p">)</span></div>
+
+
+
+<div class="viewcode-block" id="HH_REFRACTORINESS">
+<a class="viewcode-back" href="../../../../modules.html#mndynamics.models.py.ch04.HH_REFRACTORINESS">[docs]</a>
+<span class="k">class</span> <span class="nc">HH_REFRACTORINESS</span><span class="p">(</span><span class="n">_HH</span><span class="p">):</span>
+<span class="w">    </span><span class="sd">&#39;&#39;&#39;</span>
+<span class="sd">    Refractoriness of the HH model.</span>
+<span class="sd">    </span>
+<span class="sd">    &#39;&#39;&#39;</span>
+
+    <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">par</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
+        <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">(</span><span class="n">par</span><span class="p">)</span>
+
+<div class="viewcode-block" id="HH_REFRACTORINESS.f_sys">
+<a class="viewcode-back" href="../../../../modules.html#mndynamics.models.py.ch04.HH_REFRACTORINESS.f_sys">[docs]</a>
+    <span class="k">def</span> <span class="nf">f_sys</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x0</span><span class="p">,</span> <span class="n">t</span><span class="p">,</span> <span class="n">i_ext</span><span class="p">,</span> <span class="n">PULSE_ONSET</span><span class="p">):</span>
+<span class="w">        </span><span class="sd">&#39;&#39;&#39;</span>
+<span class="sd">        define HH Model</span>
+<span class="sd">        &#39;&#39;&#39;</span>
+        <span class="n">v</span><span class="p">,</span> <span class="n">m</span><span class="p">,</span> <span class="n">h</span><span class="p">,</span> <span class="n">n</span> <span class="o">=</span> <span class="n">x0</span>
+
+        <span class="k">if</span> <span class="p">(</span><span class="n">t</span> <span class="o">&gt;</span> <span class="n">PULSE_ONSET</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">(</span><span class="n">t</span> <span class="o">&lt;</span> <span class="n">PULSE_ONSET</span> <span class="o">+</span> <span class="mi">1</span><span class="p">):</span>
+            <span class="n">i_ext</span> <span class="o">=</span> <span class="mf">40.0</span>
+
+        <span class="n">dv</span> <span class="o">=</span> <span class="p">(</span><span class="n">i_ext</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">g_na</span> <span class="o">*</span> <span class="n">m</span><span class="o">**</span><span class="mi">3</span> <span class="o">*</span> <span class="n">h</span> <span class="o">*</span> <span class="p">(</span><span class="n">v</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">v_na</span><span class="p">)</span> <span class="o">-</span>
+              <span class="bp">self</span><span class="o">.</span><span class="n">g_k</span> <span class="o">*</span> <span class="n">n</span><span class="o">**</span><span class="mi">4</span> <span class="o">*</span> <span class="p">(</span><span class="n">v</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">v_k</span><span class="p">)</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">g_l</span> <span class="o">*</span> <span class="p">(</span><span class="n">v</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">v_l</span><span class="p">))</span> <span class="o">/</span> <span class="bp">self</span><span class="o">.</span><span class="n">c</span>
+        <span class="n">dm</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">alpha_m</span><span class="p">(</span><span class="n">v</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="mf">1.0</span> <span class="o">-</span> <span class="n">m</span><span class="p">)</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">beta_m</span><span class="p">(</span><span class="n">v</span><span class="p">)</span> <span class="o">*</span> <span class="n">m</span>
+        <span class="n">dh</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">alpha_h</span><span class="p">(</span><span class="n">v</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="mf">1.0</span> <span class="o">-</span> <span class="n">h</span><span class="p">)</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">beta_h</span><span class="p">(</span><span class="n">v</span><span class="p">)</span> <span class="o">*</span> <span class="n">h</span>
+        <span class="n">dn</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">alpha_n</span><span class="p">(</span><span class="n">v</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="mf">1.0</span> <span class="o">-</span> <span class="n">n</span><span class="p">)</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">beta_n</span><span class="p">(</span><span class="n">v</span><span class="p">)</span> <span class="o">*</span> <span class="n">n</span>
+        <span class="k">return</span> <span class="p">[</span><span class="n">dv</span><span class="p">,</span> <span class="n">dm</span><span class="p">,</span> <span class="n">dh</span><span class="p">,</span> <span class="n">dn</span><span class="p">]</span></div>
+
+
+<div class="viewcode-block" id="HH_REFRACTORINESS.simulate">
+<a class="viewcode-back" href="../../../../modules.html#mndynamics.models.py.ch04.HH_REFRACTORINESS.simulate">[docs]</a>
+    <span class="k">def</span> <span class="nf">simulate</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">tspan</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">):</span>
+<span class="w">        </span><span class="sd">&#39;&#39;&#39;</span>
+<span class="sd">        Simulate the HH model.</span>
+
+<span class="sd">        Parameters</span>
+<span class="sd">        ----------</span>
+<span class="sd">        tspan : array_like, optional</span>
+<span class="sd">            Time points (ms) at which to solve for membrane potential and gating variables.</span>
+<span class="sd">            Default is np.arange(0, 50, 0.01).</span>
+<span class="sd">        args : tuple, optional</span>
+<span class="sd">            Additional arguments to pass to the ODE solver.</span>
+
+<span class="sd">        Returns</span>
+<span class="sd">        -------</span>
+<span class="sd">        dict</span>
+<span class="sd">            Dictionary with keys &quot;t&quot;, &quot;v&quot;, &quot;m&quot;, &quot;h&quot;, &quot;n&quot; and values being the corresponding</span>
+<span class="sd">            time points and membrane potential and gating variables.</span>
+<span class="sd">        </span>
+<span class="sd">        &#39;&#39;&#39;</span>
+
+        <span class="n">x0</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">set_initial_state</span><span class="p">()</span>
+
+        <span class="n">tspan</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">tspan</span> <span class="k">if</span> <span class="n">tspan</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">else</span> <span class="n">tspan</span>
+        <span class="n">sol</span> <span class="o">=</span> <span class="n">odeint</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">f_sys</span><span class="p">,</span> <span class="n">x0</span><span class="p">,</span> <span class="n">tspan</span><span class="p">,</span> <span class="n">args</span><span class="o">=</span><span class="n">args</span><span class="p">)</span>
+
+        <span class="k">return</span> <span class="p">{</span><span class="s2">&quot;t&quot;</span><span class="p">:</span> <span class="n">tspan</span><span class="p">,</span>
+                <span class="s2">&quot;v&quot;</span><span class="p">:</span>    <span class="n">sol</span><span class="p">[:,</span> <span class="mi">0</span><span class="p">],</span>
+                <span class="s2">&quot;m&quot;</span><span class="p">:</span>    <span class="n">sol</span><span class="p">[:,</span> <span class="mi">1</span><span class="p">],</span>
+                <span class="s2">&quot;h&quot;</span><span class="p">:</span>    <span class="n">sol</span><span class="p">[:,</span> <span class="mi">2</span><span class="p">],</span>
+                <span class="s2">&quot;n&quot;</span><span class="p">:</span>    <span class="n">sol</span><span class="p">[:,</span> <span class="mi">3</span><span class="p">]</span>
+                <span class="p">}</span></div>
+</div>
+
+</pre></div>
+
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+          </div>
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