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           of Life Sciences. The school currently has 129 professors and employees, around 600 undergraduates
           (including the candidates of Tsinghua University – Peking Union Medical College joint MD program).
         </p>
+        <h3>Model Equations</h3>
+
+        <h4>Inhalation Equation for Muscone</h4>
+
+        <p>
+          \( V_{\text{inhale}}(t) =\frac{Q_{\text{inhale}}}{5}(u(t)-u(t-5)) \)
+        </p>
+
+        <p><strong>Explanation</strong>：This describes the rate equation for inhaling muscone over five seconds,
+          where the total amount \( Q \) remains constant. The function \( u(t) \) is a step function, which
+          takes the value of \( \frac{Q_{\text{inhale}}}{5} \) from \( t=0s \) to \( t=5s \), and is \( 0 \)
+          otherwise, simulating the scenario of resting human respiration.</p>
+
+        <h4>Compartment 0: \( Q_A(t) \)</h4>
+
+        <p>
+          \( \frac{dQ_A(t)}{dt} = V_{\text{inhale}}(t) - \left( k_{\text{exhale}} + k_{\text{perm}} \right)
+          Q_A(t) \)
+        </p>
+
+        <p><strong>Explanation</strong>: The amount of muscone in the alveoli increases through inhalation and
+          decreases due to exhalation, adhesion to the respiratory mucosa, and permeation into the alveolar
+          capillaries.</p>
+
+        <p><strong>Parameters</strong>:</p>
+
+        <ul>
+          <li>
+            \( k_{\text{exhale}} \): Since most of the muscone is rapidly exhaled, this value is relatively
+            large, taken as \( 10 \ \text{min}^{-1} \)
+          </li>
+          <li>
+            \( k_{\text{perm}} \): The rate of muscone permeation into the capillaries, affected by its
+            physicochemical properties, is taken as \( 0.005 \ \text{min}^{-1} \)
+          </li>
+        </ul>
+
+        <h4>Compartment 1: \( Q_M(t) \)</h4>
+
+        <p>
+          \( \frac{dQ_M(t)}{dt} = 0.0005 \cdot k_{\text{adh}} V_{\text{inhale}}(t) - k_{\text{diffMC}} Q_M(t)
+          \)
+        </p>
+
+        <p><strong>Explanation</strong>: The increase in muscone on the mucosa comes from adhesion in the
+          alveoli, and the decrease is due to diffusion into the systemic circulation.</p>
+
+        <p><strong>Parameters</strong>:</p>
+
+        <ul>
+          <li>
+            \( k_{\text{adh}} \): The adhesion process is relatively slow, and only \( 0.5\% \) of muscone
+            enters the systemic circulation through this pathway, taken as \( 0.001 \ \text{min}^{-1} \)
+          </li>
+          <li>
+            \( k_{\text{diffMC}} \): Diffusion from the mucosa to the systemic circulation is slow, taken as
+            \( 0.01 \ \text{min}^{-1} \)
+          </li>
+        </ul>
     </div>
   </div>