Team:LCG-UNAM-Mexico:odes
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It is important to consider that the amount of phages at a given moment depends on the amount of phages on a previous point in time due to the latency period (once the phage has inserted its genome, it requires a period of time to redirect the molecular machinery of the bacteria, reproduce and start assembling). To tackle this problem, we modeled the phage infection using a system of [http://en.wikipedia.org/wiki/Delay_differential_equation DELAY DIFFERENTIAL EQUATIONS (DDE)] based on the system proposed by [[Team:LCG-UNAM-Mexico:odes#References | Beretta[1]]]. The use of DDE allows us to update the system depending on the states of the system in previous points in time. | It is important to consider that the amount of phages at a given moment depends on the amount of phages on a previous point in time due to the latency period (once the phage has inserted its genome, it requires a period of time to redirect the molecular machinery of the bacteria, reproduce and start assembling). To tackle this problem, we modeled the phage infection using a system of [http://en.wikipedia.org/wiki/Delay_differential_equation DELAY DIFFERENTIAL EQUATIONS (DDE)] based on the system proposed by [[Team:LCG-UNAM-Mexico:odes#References | Beretta[1]]]. The use of DDE allows us to update the system depending on the states of the system in previous points in time. | ||
- | It is noteworthy that the success of the system, on a population level, depends on the efficiency of our suicide system after a bacterium has been infected by a phage. To include this in our model, our system of equations must consider the mortality rate of bacteria after they have been infected by a phage (it is precisely this parameter the one we are trying to modify experimentally). | + | It is noteworthy that the success of the system, on a population level, depends on the efficiency of our suicide system after a bacterium has been infected by a phage. To include this in our model, our system of equations must consider the mortality rate of bacteria after they have been infected by a phage (it is precisely this parameter the one we are trying to modify experimentally). |
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+ | ==Contents== | ||
+ | <br> | ||
+ | *[[Team:LCG-UNAM-Mexico:odes# Populations | Populations]] | ||
+ | *[[Team:LCG-UNAM-Mexico:odes#[edit] Description of the system of nonlinear differential equations | [edit] Description of the system of nonlinear differential equations]] | ||
+ | *[[Team:LCG-UNAM-Mexico:odes#Parameters | Parameters]] | ||
+ | *[[Team:LCG-UNAM-Mexico:odes#Assumptions| Assumptions]] | ||
+ | *[[Team:LCG-UNAM-Mexico:odes#References| References]] | ||
+ | |||
+ | <br> | ||
+ | |||
==Populations== | ==Populations== |
Revision as of 06:24, 20 October 2009