Difference between revisions of "Team:NCKU Tainan/Model"
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| − | + | <div class="container-fluid" style="margin-top:100px"> | |
| − | + | <div class="head">PROJECT / Model</div> | |
| − | + | <div class="content row"> | |
| − | + | <div class="col-md-9"> | |
| − | + | <div class="head2">Model</div> | |
| − | + | <div class="title-line" id="fitting">Fitting Theory</div> | |
<p>To detect the concentration of inputted numerically, a dependable formula for transformation is absolutely needed. Pl is a glucose induced promoter but with complicated regulation pathway. In this section, we derive a formula using quasi-steady state with the method of enzyme kinetics.</p> | <p>To detect the concentration of inputted numerically, a dependable formula for transformation is absolutely needed. Pl is a glucose induced promoter but with complicated regulation pathway. In this section, we derive a formula using quasi-steady state with the method of enzyme kinetics.</p> | ||
<p>When all compounds reach its steady concentration, the production rate of protein should be a constant and be in form as the following equation:</p> | <p>When all compounds reach its steady concentration, the production rate of protein should be a constant and be in form as the following equation:</p> | ||
| − | + | <p>$$\frac{[Protein]}{dt}=\frac{c1[Glucose]+c2}{[Glucose]+c3}$$</p> | |
| − | + | <p>And the fitting result also show its accuracy and limitation:</p> | |
| − | + | <img src="/wiki/images/3/36/T--NCKU_Tainan--project-modeling-fitting-image5.jpg"> | |
| − | + | <p>(<a href="/Team:NCKU_Tainan/Model_Fitting_Theory">Read more...</a>)</p> | |
| − | + | <div class="title-line" id="statistics">Statistics Analysis</div> | |
<p>In medicine, the blood glucose exceeding 5mM/L implies having diabetes, and it exceeding 120mM/L implies being a severe patient. Finding the person whose glucose concentration is over 5mM/L or 120mM/L is our target.</p> | <p>In medicine, the blood glucose exceeding 5mM/L implies having diabetes, and it exceeding 120mM/L implies being a severe patient. Finding the person whose glucose concentration is over 5mM/L or 120mM/L is our target.</p> | ||
| − | + | <div class="img" style="width:32%;display:inline-block;margin-left:8px"> | |
| − | + | <img src="/wiki/images/c/c0/T--NCKU_Tainan--project-modeling-statistic-image1.jpg"> | |
<div>0.1 vs 5 mM/L</div> | <div>0.1 vs 5 mM/L</div> | ||
| − | + | </div> | |
| − | + | <div class="img" style="width:32%;display:inline-block"> | |
| − | + | <img src="/wiki/images/0/04/T--NCKU_Tainan--project-modeling-statistic-image2.jpg"> | |
<div>0.1 vs 120 mM/L</div> | <div>0.1 vs 120 mM/L</div> | ||
</div> | </div> | ||
| − | + | <div class="img" style="width:32%;display:inline-block"> | |
| − | + | <img src="/wiki/images/a/a3/T--NCKU_Tainan--project-modeling-statistic-image3.jpg"> | |
<div>0.1 model plot</div> | <div>0.1 model plot</div> | ||
</div> | </div> | ||
<p>First, we prove that there has difference between 0.1mM/L and 5mM/L (120mM/L) in the paired-difference T test part. And, we use the regression and prediction intervals to distinguish exceeding 120mM/L and 5mM/L from exceeding 0.1mM/L. From the result, 5mM/L can be distinguished from 0.1mM/L after 101 minutes, and 120mM/L can be distinguished from 0.1mM/L after 88 minutes.</p> | <p>First, we prove that there has difference between 0.1mM/L and 5mM/L (120mM/L) in the paired-difference T test part. And, we use the regression and prediction intervals to distinguish exceeding 120mM/L and 5mM/L from exceeding 0.1mM/L. From the result, 5mM/L can be distinguished from 0.1mM/L after 101 minutes, and 120mM/L can be distinguished from 0.1mM/L after 88 minutes.</p> | ||
| − | + | ||
| − | + | <p>(<a href="/Team:NCKU_Tainan/Model_Statistics_Analysis">Read more...</a>)</p> | |
| − | + | </div> | |
| − | + | <div class="col-md-3"> | |
| − | + | <ul id="sidemenu"> | |
| − | + | <li><a href="#" onclick="return toEvent('fitting');">Fitting Theory</a></li> | |
| − | + | <li><a href="#" onclick="return toEvent('statistics');">Statistics Analysis</a></li> | |
| − | + | </ul> | |
| − | + | </div> | |
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Revision as of 10:51, 10 October 2016
PROJECT / Model
Model
Fitting Theory
To detect the concentration of inputted numerically, a dependable formula for transformation is absolutely needed. Pl is a glucose induced promoter but with complicated regulation pathway. In this section, we derive a formula using quasi-steady state with the method of enzyme kinetics.
When all compounds reach its steady concentration, the production rate of protein should be a constant and be in form as the following equation:
$$\frac{[Protein]}{dt}=\frac{c1[Glucose]+c2}{[Glucose]+c3}$$
And the fitting result also show its accuracy and limitation:
Statistics Analysis
In medicine, the blood glucose exceeding 5mM/L implies having diabetes, and it exceeding 120mM/L implies being a severe patient. Finding the person whose glucose concentration is over 5mM/L or 120mM/L is our target.
0.1 vs 5 mM/L
0.1 vs 120 mM/L
0.1 model plot
First, we prove that there has difference between 0.1mM/L and 5mM/L (120mM/L) in the paired-difference T test part. And, we use the regression and prediction intervals to distinguish exceeding 120mM/L and 5mM/L from exceeding 0.1mM/L. From the result, 5mM/L can be distinguished from 0.1mM/L after 101 minutes, and 120mM/L can be distinguished from 0.1mM/L after 88 minutes.
