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Team:Colombia/Modeling/Stochastic
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#Define creation and destruction expression for each substance involved. | #Define creation and destruction expression for each substance involved. | ||
#Apply Gilliespie algorithm. | #Apply Gilliespie algorithm. | ||
| - | + | #Calculate the sample space of the analysed system. | |
| - | + | #Calculate time distribution that depends on a random number between 0 and 1. | |
| - | + | #Generate ranges for the space created in the step 5.1, taking into account the random number from step 5.1. After that, assign an answer to each range. | |
#Take the outputs from the simulation and convert them into regular interval vectors. | #Take the outputs from the simulation and convert them into regular interval vectors. | ||
#Obtain the Gilliespie function mean values. | #Obtain the Gilliespie function mean values. | ||
#Plot the obtained functions. | #Plot the obtained functions. | ||
Revision as of 02:48, 17 September 2012
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Stochastic Model
Now we are going to explain to you how we implement the Gilliespie method to introduce stochasticity to our math model. The complete method consists of eight steps.
- Define the number of cells.
- Define the time of the simulation
- Define and name all the constants involved.
- Define creation and destruction expression for each substance involved.
- Apply Gilliespie algorithm.
- Calculate the sample space of the analysed system.
- Calculate time distribution that depends on a random number between 0 and 1.
- Generate ranges for the space created in the step 5.1, taking into account the random number from step 5.1. After that, assign an answer to each range.
- Take the outputs from the simulation and convert them into regular interval vectors.
- Obtain the Gilliespie function mean values.
- Plot the obtained functions.
