Difference between revisions of "Team:Warwick/Modelling5"
| Line 59: | Line 59: | ||
<br> Using geometry, it is possible to determine the minimum size that the megastructure needs to be that will allow all the E-coli cells to bind to it without blocking each other off. This can be done using the idea of circle packing. | <br> Using geometry, it is possible to determine the minimum size that the megastructure needs to be that will allow all the E-coli cells to bind to it without blocking each other off. This can be done using the idea of circle packing. | ||
| − | <img src="https://static.igem.org/mediawiki/2015/e/e6/Ecoli_picture.png" | + | <img src="https://static.igem.org/mediawiki/2015/e/e6/Ecoli_picture.png" align="middle"> |
| + | </p> | ||
| + | <p> As shown by the picture above, E-coli cells have rounded edges and a generally cylindrical shape. By considering the ends of each of the E-coli cells as perfect circles of the same size; the following model can be used find the minimum length of each ‘arm’ of the megastructure. | ||
</p> | </p> | ||
| + | <p> <img src="https://static.igem.org/mediawiki/2015/1/1b/4_Circles_picture.png" align="left" height="240px" width="360px" border="1px"> | ||
| + | <img src="https://static.igem.org/mediawiki/2015/b/b6/Table_of_relative_diameters.png" align="right" height="260px" width="240px" border="1px"> | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
<br>The smaller the tetrahedrons the stronger they are and hence the stronger the resulting formed 3D structure will be. However by decreasing their size you increase the amount of DNA you need to construct it which adds complexity, takes more time and is more expensive. Therefore it is important to find a compromise between size and amount of DNA used. | <br>The smaller the tetrahedrons the stronger they are and hence the stronger the resulting formed 3D structure will be. However by decreasing their size you increase the amount of DNA you need to construct it which adds complexity, takes more time and is more expensive. Therefore it is important to find a compromise between size and amount of DNA used. | ||
From reading various papers, such as <a href="http://www.hindawi.com/journals/jna/2011/360954/">this one</a> we determined the maximum size you could make was a tetrahedron with side lengths of 75nm. This size maximised stiffness and strength while minimising the amount of DNA. | From reading various papers, such as <a href="http://www.hindawi.com/journals/jna/2011/360954/">this one</a> we determined the maximum size you could make was a tetrahedron with side lengths of 75nm. This size maximised stiffness and strength while minimising the amount of DNA. | ||
Revision as of 12:58, 19 August 2015
ADD DESCRIPTION...............................................................
