Kevin Matthew McKay week 2: Difference between revisions
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*[[user:Kevin Matthew McKay]] | *[[user:Kevin Matthew McKay]] | ||
*[[BIOL398-03/S13:Week 2|week 2 assignment page]] | *[[BIOL398-03/S13:Week 2|week 2 assignment page]] | ||
==Part 1== | |||
*I tested all of the parameters at different values, but was seemingly able to find a defined carrying capacity when isolating the variable parameter "r" or net growth rate for testing | *I tested all of the parameters at different values, but was seemingly able to find a defined carrying capacity when isolating the variable parameter "r" or net growth rate for testing | ||
*For a very small level or "r", (1) , there was a gradual increase in cell population as time went on. No carrying capacity was reached. | *For a very small level or "r", (1) , there was a gradual increase in cell population as time went on. No carrying capacity was reached. | ||
*When "r" was set at 10, the population of cells seemed to stabilize at around 11. The nutrient level decreased to around 0/ | *When "r" was set at 10, the population of cells seemed to stabilize at around 11. The nutrient level decreased to around 0/ | ||
*As "r" was increased, the quickness of the populations move to carrying capacity (all around 11 cells) increased. The line on the plot became steeper quicker, and then leveled out. | *As "r" was increased, the quickness of the populations move to carrying capacity (all around 11 cells) increased. The line on the plot became steeper quicker, and then leveled out. | ||
==Tests 1-5 r values:10, 50, 100, 1000, 1== | ===Tests 1-5 r values:10, 50, 100, 1000, 1=== | ||
*[[Image:Test1.fig|r=10]] | *[[Image:Test1.fig|r=10]] | ||
*[[Image:Test2.fig|r=50]] | *[[Image:Test2.fig|r=50]] | ||
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*[[Image:Test4.fig|r=1000]] | *[[Image:Test4.fig|r=1000]] | ||
*[[Image:Test5.fig|r=1]] | *[[Image:Test5.fig|r=1]] | ||
==Part 2== | |||
*Logistic growth depends on carrying capacity, in our model, the parameter "a" can either increase or decrease the carrying capacity. | |||
*When "a" was very small (0.01), the nutrient level stayed high and the cells died out quickly. | |||
*It was not until a level of a=10 (a larger carrying capacity) that cells started thriving and nutrient began to dwindle | |||
*A carrying capacity at 10,000 however, did not make much of a difference then a carrying capacity of 10, because there was not enough nutrient to support a comparably sized population of cells. | |||
===Tests 6-10 a values:0.01, 0.1, 1, 10, 10000=== | |||
*[[Image:Test6.fig ]] | |||
*[[Image:Test7.fig ]] | |||
*[[Image:Test8.fig ]] | |||
*[[Image:Test9.fig ]] | |||
*[[Image:Test10.fig]] | |||
Revision as of 13:06, 24 January 2013
Part 1
- I tested all of the parameters at different values, but was seemingly able to find a defined carrying capacity when isolating the variable parameter "r" or net growth rate for testing
- For a very small level or "r", (1) , there was a gradual increase in cell population as time went on. No carrying capacity was reached.
- When "r" was set at 10, the population of cells seemed to stabilize at around 11. The nutrient level decreased to around 0/
- As "r" was increased, the quickness of the populations move to carrying capacity (all around 11 cells) increased. The line on the plot became steeper quicker, and then leveled out.
Tests 1-5 r values:10, 50, 100, 1000, 1
Part 2
- Logistic growth depends on carrying capacity, in our model, the parameter "a" can either increase or decrease the carrying capacity.
- When "a" was very small (0.01), the nutrient level stayed high and the cells died out quickly.
- It was not until a level of a=10 (a larger carrying capacity) that cells started thriving and nutrient began to dwindle
- A carrying capacity at 10,000 however, did not make much of a difference then a carrying capacity of 10, because there was not enough nutrient to support a comparably sized population of cells.
