Team:LCG-UNAM-Mexico:odes
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- | ='''Deterministic | + | ='''Deterministic population dynamics model'''= |
As a first approach for our problem, the infection was mathematically modeled with a system of equations. | As a first approach for our problem, the infection was mathematically modeled with a system of equations. | ||
- | It is important to consider that the amount of phages on a point in time 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 DELAY DIFFERENTIAL EQUATIONS (DDE) based on the system proposed by Beretta. The use of DDE allows us to update the system according to the states of the systems in previous points in time. | + | It is important to consider that the amount of phages on a point in time 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 Beretta[1]. The use of DDE allows us to update the system according to the states of the systems in previous points in time. |
It is noteworthy that the success of system, on a population level, depends on the efficiency of our suicide system after a bacteria 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 which we are trying to modify experimentally). | It is noteworthy that the success of system, on a population level, depends on the efficiency of our suicide system after a bacteria 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 which we are trying to modify experimentally). |
Revision as of 06:37, 18 October 2009