Difference between revisions of "Team:Waterloo/Modeling/Antiviral Application"

(Basic framework for page, figuring out how to add equations)
 
m (Added RNA equations)
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             <h3>DNA</h3>
 
             <h3>DNA</h3>
 
                 <p>
 
                 <p>
−
                 $$\frac{d d_g}{dt} = k_v V (d_{max} - d_{total}) - \gamma_d d_g - \alpha_c d_g - k_g d_g$$
+
                 $$\frac{d d_g}{dt} = k_v V (d_{max} - d_{total}) - \alpha_c d_g - k_g d_g - \gamma_d d_g$$
−
                 $$\frac{d d_c}{dt} = \alpha_c d_g - \gamma_d d_{gm} - k_c d_c$$
+
                 $$\frac{d d_c}{dt} = \alpha_c d_g - k_c d_c - \gamma_d d_c$$
−
                 $$\frac{d d_{gm}}{dt} = k_v V_m (d_{max} - d_{total}) - \gamma_d d_{gm] - \alpha_c d_{gm} + k_g d_g$$
+
                 $$\frac{d d_{gm}}{dt} = k_v V_m (d_{max} - d_{total}) - \alpha_c d_{gm} + k_g d_g - \gamma_d d_{gm}$$
−
                 $$\frac{d d_{cm}}{dt} = \alpha_c d_{gm} - \gamma_d d_{cm} + k_c d_c$$
+
                 $$\frac{d d_{cm}}{dt} = \alpha_c d_{gm} + k_c d_c - \gamma_d d_{cm}$$
 
                 </p>
 
                 </p>
 +
            <h3>RNA</h3>
 +
                <p>
 +
                $$\frac{d r_{19S}}{dt} = \alpha_{19S} d_c - (\gamma_{19S}+\gamma_{r}) r_{19S}$$
 +
                $$\frac{d r_{35S}}{dt} = \alpha_{35S} d_c - k_p p_4 p_5 f_u r_{35S} - (\gamma_{35S}+\gamma_{r}) r_{35S}$$
 +
                $$\frac{d r_{35Sm}}{dt} = \alpha_{35S} d_{cm} - k_p p_4 p_5 f_u r_{35Sm} - (\gamma_{35S}+\gamma_{r}) r_{35Sm}$$
 +
                </p>
 +
            <h3>Protein</h3>
 +
            <h3>Virions</h3>
 +
            <h3>Algebraic Equations</h3>
 
         <h2>Headers</h2>
 
         <h2>Headers</h2>
 
     </section>
 
     </section>

Revision as of 00:24, 13 September 2015

Antriviral Application

Copy and past code from this page as a template for the res 

   <section id="CRISPR Targeting" title="CRISPR Targeting">

Headers

Headers

Headers

   </section>

   <section id="CaMV Replication" title="CaMV Replication">

Headers

ODE System

DNA

$$\frac{d d_g}{dt} = k_v V (d_{max} - d_{total}) - \alpha_c d_g - k_g d_g - \gamma_d d_g$$ $$\frac{d d_c}{dt} = \alpha_c d_g - k_c d_c - \gamma_d d_c$$ $$\frac{d d_{gm}}{dt} = k_v V_m (d_{max} - d_{total}) - \alpha_c d_{gm} + k_g d_g - \gamma_d d_{gm}$$ $$\frac{d d_{cm}}{dt} = \alpha_c d_{gm} + k_c d_c - \gamma_d d_{cm}$$

RNA

$$\frac{d r_{19S}}{dt} = \alpha_{19S} d_c - (\gamma_{19S}+\gamma_{r}) r_{19S}$$ $$\frac{d r_{35S}}{dt} = \alpha_{35S} d_c - k_p p_4 p_5 f_u r_{35S} - (\gamma_{35S}+\gamma_{r}) r_{35S}$$ $$\frac{d r_{35Sm}}{dt} = \alpha_{35S} d_{cm} - k_p p_4 p_5 f_u r_{35Sm} - (\gamma_{35S}+\gamma_{r}) r_{35Sm}$$

Protein

Virions

Algebraic Equations

Headers

   </section>

   <section id="Intercellular Spread" title="Intercellular Spread">

Headers

Headers

Headers

   </section>
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