Here
From 2008.igem.org
(Difference between revisions)
Line 54: | Line 54: | ||
<br> | <br> | ||
<img src="http://lh4.ggpht.com/coa07mhk/SQZQs9D-DyI/AAAAAAAAAOQ/FdveIv00mZU/s144/eq4.PNG" /> is the reaction once CAI-1 has interacted with Fusion Kinase. | <img src="http://lh4.ggpht.com/coa07mhk/SQZQs9D-DyI/AAAAAAAAAOQ/FdveIv00mZU/s144/eq4.PNG" /> is the reaction once CAI-1 has interacted with Fusion Kinase. | ||
+ | <br> | ||
+ | This interaction will follow the law of diffuion and if we let the process under consideration as Poisson process, the probability can be given as: | ||
+ | <br> | ||
+ | <img src="http://lh4.ggpht.com/coa07mhk/SQZQx-YyI9I/AAAAAAAAAOY/8wieBfvt0mI/s144/eq5.PNG" /> | ||
+ | <br> | ||
+ | <img src="http://lh3.ggpht.com/coa07mhk/SQZQyavXd-I/AAAAAAAAAOg/qsc_qvPTep8/s144/eq6.PNG" /> | ||
+ | <br> | ||
+ | To find the probability of rest of reaction i.e. from activation of UvrY till the shining of our protein we can use the Gaussian Distribution, which can be given as: | ||
+ | <br> | ||
+ | <img src="http://lh3.ggpht.com/coa07mhk/SQZQypqSCUI/AAAAAAAAAO4/cURij-XIVgc/s288/eq9.PNG" /> | ||
</tr> | </tr> | ||
</table> | </table> | ||
</body> | </body> | ||
</html> | </html> |
Revision as of 01:18, 28 October 2008
Let us consider the probability of CAI-1 interacting with our fusion kinase with a reaction rate k, diffusion rates D1 and D2 and they start at a distance d apart at the beginning of the time intervalThe reaction between two diffusing particles can be considered to take place in two steps. First the encounter of CAI-1 with Fusion kinase and second the actual reaction of passing protein to response regulatory receptor. If we let CAI-1 as entity A and fusion kinase as entity B then the rate of reaction can given as:
is the probability of interaction between CAI-1 and Fusion Kinase. is the reaction once CAI-1 has interacted with Fusion Kinase. This interaction will follow the law of diffuion and if we let the process under consideration as Poisson process, the probability can be given as: To find the probability of rest of reaction i.e. from activation of UvrY till the shining of our protein we can use the Gaussian Distribution, which can be given as: |