Team:HZAU-China/Modeling/Gray logistic
From 2013.igem.org
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+ | <h3>Aim:</h3> | ||
+ | <p style="font-size:16px;font-family:arial, sans-serif;">To know the growth curve in the dog’s blood</p> | ||
+ | |||
+ | <h3>Steps:</h3> | ||
+ | <p style="font-size:16px;font-family:arial, sans-serif;">1.Do experiment to measure the number of bacteria; </p> | ||
+ | <p style="font-size:16px;font-family:arial, sans-serif;">2.Establish the gray logistic model to simulate the growth of bacteria;</p> | ||
+ | <p style="font-size:16px;font-family:arial, sans-serif;">3.Determine the parameter through the experiment;</p> | ||
+ | <p style="font-size:16px;font-family:arial, sans-serif;">4.Test the predicted results.</p> | ||
+ | |||
+ | <h3>Results:</h3> | ||
+ | <p style="font-size:16px;font-family:arial, sans-serif;">The gray logistic model gets the good forecasting result.And the model precision is excellent.</p> | ||
+ | |||
+ | <h3>Background:</h3> | ||
+ | <p style="font-size:16px;font-family:arial, sans-serif;">The color of blood is so deep that it is not fit to measure the OD value to determine the growth of bacteria in the blood.Then we choose dilution-plate method to detect the number of total bacteria. So we coated a large number of plates.The logistic model of population can well predict the increase of population.</p> | ||
+ | |||
+ | <h3>Establish the logistic model:</h3> | ||
+ | <p style="font-size:16px;font-family:arial, sans-serif;">In the environment of the blood,the number of bacteria have a maximum value K.And when the number of bacteria approach K,the growth rate is next to nil.Then the population growth equation is as follows: </p> | ||
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+ | <h3>黑体</h3> | ||
+ | <p style="font-size:16px;font-family:arial, sans-serif;">段落</p> | ||
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+ | <h3>黑体</h3> | ||
+ | <p style="font-size:16px;font-family:arial, sans-serif;">段落</p> | ||
+ | |||
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</div> | </div> | ||
</div> | </div> |
Revision as of 12:36, 25 September 2013
Aim:
To know the growth curve in the dog’s blood
Steps:
1.Do experiment to measure the number of bacteria;
2.Establish the gray logistic model to simulate the growth of bacteria;
3.Determine the parameter through the experiment;
4.Test the predicted results.
Results:
The gray logistic model gets the good forecasting result.And the model precision is excellent.
Background:
The color of blood is so deep that it is not fit to measure the OD value to determine the growth of bacteria in the blood.Then we choose dilution-plate method to detect the number of total bacteria. So we coated a large number of plates.The logistic model of population can well predict the increase of population.
Establish the logistic model:
In the environment of the blood,the number of bacteria have a maximum value K.And when the number of bacteria approach K,the growth rate is next to nil.Then the population growth equation is as follows:
黑体
段落
黑体
段落