Difference between revisions of "Team:Kent/Modeling"
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<h3 align="left"> Contents </h3> | <h3 align="left"> Contents </h3> | ||
| − | <a href="# | + | <a href="#c1">Variables</a> <br> |
| − | <a href="# | + | <a href="#c2">Chapter 2</a> <br> |
| − | <a href="# | + | <a href="#c3">Chapter 3</a><br> |
| − | <a href="# | + | <a href="#c4">Chapter 4</a><br> |
| − | <a href="# | + | <a href="#c5">Chapter 5</a><br> |
| − | <a name=" | + | <a name="c1"> </a> <h3 align="center"> Variables </h3> |
<table> | <table> | ||
| − | <tr> | + | |
| − | <th | + | <tr> |
| + | <th> Variable </th> <th> Description </th> <th> Value </th> | ||
| + | <tr> | ||
| + | <th> 1</th><th> Length of the observation box volume </th><th> 3 </th> | ||
| + | <tr> | ||
| + | <th> 4</th><th> Depth of the observation box volume </th><th> 6 </th> | ||
| + | <tr> | ||
| + | <th> 7 </th><th>Height of the cell in observation volume </th><th>9 </th> | ||
| + | <tr> | ||
| + | <th> M </th> <th> Number of binding sites </th> <th> W </th> | ||
| + | <tr> | ||
| + | <th> 1</th><th> Initial number of particles </th><th> 3 </th> | ||
| + | <tr> | ||
| + | <th> 8</th><th> Length of each timestep </th><th> 10 </th> | ||
| + | <tr> | ||
| + | <th> 15 </th><th> Persistence Length </th><th> 17 </th> | ||
| + | <tr> | ||
| + | <tr> | ||
| + | <th> 15 </th><th> Monomer radius </th><th> 17 </th> | ||
| + | <tr> | ||
| + | <tr> | ||
| + | <th> 15 </th><th> Binding radius </th><th> 17 </th> | ||
| + | <tr> | ||
| + | <tr> | ||
| + | <th> 15 </th><th> Diffusion coefficient of the chain after the chain has detached </th><th> 17 </th> | ||
| + | <tr> | ||
| + | </table> | ||
| + | |||
<tr> | <tr> | ||
| − | <th> | + | <th> Event </th> <th> Description </th> <th> Value </th> |
<tr> | <tr> | ||
| − | <th> | + | <th> P(bind)</th><th> Probability that a monomer, within range, will attach to the end of a chain </th><th> 3 </th> |
<tr> | <tr> | ||
| − | <th> | + | <th> P(leave)</th><th> Probability that a monomer will leave the cell from the inside </th><th> 6 </th> |
<tr> | <tr> | ||
| − | <th> | + | <th> P(spawn) </th><th> Probability that a monomer will be created at the end of each timestep </th><th>9 </th> |
<tr> | <tr> | ||
| − | <th> | + | <th> P(decay) </th> <th> Probability that any given monomer will decay at each timestep </th> <th> W </th> |
<tr> | <tr> | ||
| − | <th> | + | <th> P(monomer detach)</th><th> Probability that the last monomer on a chain will detach </th><th> 3 </th> |
<tr> | <tr> | ||
| − | <th> | + | <th> P(anchor detach)</th><th> Probability that the chain will detach from the membrane </th><th> 10 </th> |
<tr> | <tr> | ||
| − | <th> | + | <th> P(fragment) </th><th> Probability that a chain of j monomers will fragment </th><th> 17 </th> |
<tr> | <tr> | ||
</table> | </table> | ||
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</p> | </p> | ||
| − | <a name=" | + | <a name="c2"></a><h3 align="center"> A </h3> |
\[i \hbar \frac{\partial}{\partial t}\Psi = \hat H \Psi\] | \[i \hbar \frac{\partial}{\partial t}\Psi = \hat H \Psi\] | ||
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Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum. | Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum. | ||
</p> | </p> | ||
| − | <a name=" | + | <a name="c3"></a><h3 align="center"> M</h3> |
<p> | <p> | ||
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum. | Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum. | ||
</p> | </p> | ||
| − | <a name=" | + | <a name="c4"></a><h3 align="center"> E </h3> |
<p> | <p> | ||
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</p> | </p> | ||
| − | <a name=" | + | <a name="c5"></a><h3 align="center"> S </h3> |
<p> | <p> | ||
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</p> | </p> | ||
| − | <p>Our Matlab code can be found here: <a href=" | + | <p>Our Matlab code can be found here: <a href=" ">Kent15_Model.m</a></p> |
---> | ---> | ||
Revision as of 16:32, 6 September 2015
Modeling
Modeling is important as it allows us to describe the system mathematically. If we change some of the parameters in our system we can see how this will affect the system, this is especially important when the some of the parameters are unknown. The main aim of our model is to demonstrate the production of our nanowires in an interactive and interesting way.
More to come soon...