Kevin Matthew McKay week 2

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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]]
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==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.
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==Tests 1-5 r values:10, 50, 100, 1000, 1==
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===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]]
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==Part 2==
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*Logistic growth depends on carrying capacity, in our model, the parameter "a" can either increase or decrease the carrying capacity.
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*When "a" was very small (0.01), the nutrient level stayed high and the cells died out quickly.
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*It was not until a level of a=10 (a larger carrying capacity) that cells started thriving and nutrient began to dwindle
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*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.
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===Tests 6-10 a values:0.01, 0.1, 1, 10, 10000===
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*[[Image:Test6.fig ]]
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*[[Image:Test7.fig ]]
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*[[Image:Test8.fig ]]
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*[[Image:Test9.fig ]]
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*[[Image:Test10.fig]]

Revision as of 16:06, 24 January 2013


Contents

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.

Tests 6-10 a values:0.01, 0.1, 1, 10, 10000

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