Difference between revisions of "Team:TPHS San Diego/Model"

(Prototype team page)
 
 
(19 intermediate revisions by 4 users not shown)
Line 1: Line 1:
{{TPHS_San_Diego}}
+
{{TPHS_San_Diego/template_page_css_js}}
 +
{{TPHS San Diego/Navbar}}
 +
 
 
<html>
 
<html>
 +
    <head>
 +
        <title>TPHS IGEM Wiki</title>
 +
    </head>
 +
    <body>
 +
        <header class = "title">
 +
            <div class = "content_wrapper">
 +
                Modeling
 +
            </div>
 +
        </header>
 +
        <div class = "body_wrapper">
 +
            <nav>
 +
                <div id = "nav_content_wrapper">
 +
                    <ul>
 +
                        <li><a href = "#heading1">link 1</a></li>
 +
                        <li><a href = "#">link 2</a></li>
 +
                        <li><a href = "#">link 3</a></li>
 +
                        <li>
 +
                            <ul>
 +
                                <li><a href = "#">sublist link 4</a></li>
 +
                                <li><a href = "#">sublist link 5</a></li>
 +
                                <li><a href = "#">sublist link 6</a></li>
 +
                            </ul>
 +
                        </li>
 +
                    </ul>
 +
                </div>
 +
            </nav>
 +
            <section>
 +
                <h1 id = "heading1">
 +
                    Key Terms
 +
                </h1>
 +
                <p>
 +
                    <b>RNA/protein Ratio:</b> This specific ratio is seen in many graphs specifically the Y-Axis. Most of the RNA in E. coli is folded in ribosomes, so they are an integral part of the project. The papers also discuss ribosome synthesis in depth.
 +
                </p>
 +
               
 +
                <p>
 +
                  <b> Nutrients:</b> The nutrient quality is also very important. There are many equations regarding the nutrient used, and depending on the quality of nutrients over time, the graph becomes linearly or exponentially different.
 +
                </p>
  
  
 +
                <p>
 +
                  <b>Main Bacteria used: </b> E. Coli
 +
                </p>
  
<div class="column full_size judges-will-not-evaluate">
+
                <h1 id = "heading1">
<h3>★  ALERT! </h3>
+
                    Abstract
<p>This page is used by the judges to evaluate your team for the <a href="https://2018.igem.org/Judging/Medals">medal criterion</a> or <a href="https://2018.igem.org/Judging/Awards"> award listed below</a>. </p>
+
                </h1>
<p> Delete this box in order to be evaluated for this medal criterion and/or award. See more information at <a href="https://2018.igem.org/Judging/Pages_for_Awards"> Instructions for Pages for awards</a>.</p>
+
</div>
+
  
 +
                <p>
 +
                  The goal of this paper is to understand the physiological functions of endogenous genetic circuits. However, in order to do this, we have to study the rate of cell proliferation and the level of gene expression. The main bacteria that they used was E. Coli. The nutrient influx and translation-inhibiting antibiotics seem to play a huge role in this study. Then, we used equations and graphs to model the direction in which mutation will go in.
 +
                </p>
  
<div class="clear"></div>
+
                  <h1 id = "heading1">
 +
                    Background
 +
                </h1>
  
  
<div class="column full_size">
+
                <p>
<h1> Modeling</h1>
+
                  <b>Introduction:</b> Engineering of genetic circuits is extremely important. Recent studies show how protein expression and much more can affect the cell’s physiological state. We have to respect growth laws, which provide a framework for the design of robust synthetic systems.
 
+
                </p>
<p>Mathematical models and computer simulations provide a great way to describe the function and operation of BioBrick Parts and Devices. Synthetic Biology is an engineering discipline, and part of engineering is simulation and modeling to determine the behavior of your design before you build it. Designing and simulating can be iterated many times in a computer before moving to the lab. This award is for teams who build a model of their system and use it to inform system design or simulate expected behavior in conjunction with experiments in the wetlab.</p>
+
                <p>
 
+
<b>Empirical growth rate dependence:</b> Monod had a discovery between the growth rate of a culture and the concentration of nutrient in the growth medium. In balanced exponential growth, every constituent in the cell is going to double at the same pace. They found this exact same discovery in the work of Salmonella, which is a bacteria in the human body. Similarly, Helmstetter and Cooper studied E. Coli and found that the cell mass has a direct effect on the growth rate. Monod also had very important equations for his growth relation theory. He theorized that the nutritional capacity and the translational capacity can be estimated from the composition of exponentially growing bacteria under the conditions of translation and nutrient limitation.
</div>
+
</p>
<div class="clear"></div>
+
 
+
<div class="column full_size">
+
<h3> Gold Medal Criterion #3</h3>
+
 
<p>
 
<p>
Convince the judges that your project's design and/or implementation is based on insight you have gained from modeling. This could be either a new model you develop or the implementation of a model from a previous team. You must thoroughly document your model's contribution to your project on your team's wiki, including assumptions, relevant data, model results, and a clear explanation of your model that anyone can understand.  
+
<b>Quantitative models of bacterial physiology:</b> This part emphasizes growth rate maximization. The growth rate is strongly dependent on many independent factors and many experiments seem to have limitations to them. The growth rate can be altered in many ways, such as ribosome limiting factors and temperature, as these experiments have shown.
<br><br>
+
The model should impact your project design in a meaningful way. Modeling may include, but is not limited to, deterministic, exploratory, molecular dynamic, and stochastic models. Teams may also explore the physical modeling of a single component within a system or utilize mathematical modeling for predicting function of a more complex device.
+
 
</p>
 
</p>
 
 
<p>
 
<p>
Please see the <a href="https://2018.igem.org/Judging/Medals"> 2018
+
<b>Bacterial growth laws:</b> This is where the RNA/Protein ratio take a big part within the experiment. E. Coli is mostly made up of RNA(85%), therefore, the RNA/Protein ratio is directly proportional to the mass fraction of ribosomes in the cell. In terms of nutrient quality, a linear relationship exists between the ribosome content and the growth rate.
Medals Page</a> for more information.  
+
 
 
</p>
 
</p>
 +
 +
                <div class = "table_wrapper">
 +
<table>
 +
 +
<tr>
 +
<td>Name</td>
 +
<td>Equation</td>
 +
<td>Extra equations within original equation</td>
 +
<td>Variable Equations</td>
 +
</tr>
 +
 +
<tr>
 +
<td>
 +
Monod’s growth equation
 +
</td>
 +
<td>λ = λm*[S’/([S]+Km)
 +
</td>
 +
<td>Λ=λm*(Kn/(Kn+Kt))</td>
 +
<td>  λ is the specific growth rate of the microorganisms
 +
      λm is the maximum specific growth rate of the microorganisms
 +
      S is the concentration of the limiting substrate for growth
 +
    Ks is the "half-velocity constant"—the value of S when μ/μmax = 0.5</td>
 +
 +
</tr>
 +
 +
 +
</table>
 +
 
</div>
 
</div>
  
<div class="column two_thirds_size">
+
<p>We use this equation to determine the growth rate of E. coli. This suggests that factors such as the RNA in E. coli affect cell density.</p>
<h3>Best Model Special Prize</h3>
+
 
 +
<h1 id = "heading1">
 +
      In-Depth Explanation of the Graph
 +
</h1>
  
 
<p>
 
<p>
To compete for the <a href="https://2018.igem.org/Judging/Awards">Best Model prize</a>, please describe your work on this page  and also fill out the description on the <a href="https://2018.igem.org/Judging/Judging_Form">judging form</a>. Please note you can compete for both the gold medal criterion #3 and the best model prize with this page.
+
We plotted the log-log density curve over time and found that there is a linear relationship between the two variables. This correlation shows how we can determine how dense a colony is at a specific time. We tested this by plating E.Coli and measuring the absorbance over time intervals, and we used a series of calculations to find the cell density.  
<br><br>
+
You must also delete the message box on the top of this page to be eligible for the Best Model Prize.
+
 
</p>
 
</p>
  
 +
<div class = "img_group">
 +
<img height = "300px" src = "https://static.igem.org/mediawiki/2018/3/31/T--TPHS_San_Diego--TimeGraph.png">
 +
</img>
 
</div>
 
</div>
  
 +
<h1 id = "heading1">
 +
      Conclusion
 +
</h1>
  
<div class="column third_size">
 
<div class="highlight decoration_A_full">
 
<h3> Inspiration </h3>
 
 
<p>
 
<p>
Here are a few examples from previous teams:
+
 
 +
By plotting the specific variables in Monod's equation, we can see that rate is similar to that of the graph above. We suggest that this graphic is extremely useful for determining how dense E. Coli is at a specific time. This can be useful in knowing exactly how much chitin degraded at a specific time point. We use both the equation and the graph to draw quantitative results in error-prone PCR, such as knowing which chitinase plate had the highest efficacy.
 
</p>
 
</p>
<ul>
 
<li><a href="https://2016.igem.org/Team:Manchester/Model">2016 Manchester</a></li>
 
<li><a href="https://2016.igem.org/Team:TU_Delft/Model">2016 TU Delft</li>
 
<li><a href="https://2014.igem.org/Team:ETH_Zurich/modeling/overview">2014 ETH Zurich</a></li>
 
<li><a href="https://2014.igem.org/Team:Waterloo/Math_Book">2014 Waterloo</a></li>
 
</ul>
 
</div>
 
</div>
 
  
 +
        <script>
 +
            init();
 +
        </script>
 +
    </body>
 
</html>
 
</html>

Latest revision as of 03:51, 18 October 2018

TPHS IGEM Wiki

Modeling

Key Terms

RNA/protein Ratio: This specific ratio is seen in many graphs specifically the Y-Axis. Most of the RNA in E. coli is folded in ribosomes, so they are an integral part of the project. The papers also discuss ribosome synthesis in depth.

Nutrients: The nutrient quality is also very important. There are many equations regarding the nutrient used, and depending on the quality of nutrients over time, the graph becomes linearly or exponentially different.

Main Bacteria used: E. Coli

Abstract

The goal of this paper is to understand the physiological functions of endogenous genetic circuits. However, in order to do this, we have to study the rate of cell proliferation and the level of gene expression. The main bacteria that they used was E. Coli. The nutrient influx and translation-inhibiting antibiotics seem to play a huge role in this study. Then, we used equations and graphs to model the direction in which mutation will go in.

Background

Introduction: Engineering of genetic circuits is extremely important. Recent studies show how protein expression and much more can affect the cell’s physiological state. We have to respect growth laws, which provide a framework for the design of robust synthetic systems.

Empirical growth rate dependence: Monod had a discovery between the growth rate of a culture and the concentration of nutrient in the growth medium. In balanced exponential growth, every constituent in the cell is going to double at the same pace. They found this exact same discovery in the work of Salmonella, which is a bacteria in the human body. Similarly, Helmstetter and Cooper studied E. Coli and found that the cell mass has a direct effect on the growth rate. Monod also had very important equations for his growth relation theory. He theorized that the nutritional capacity and the translational capacity can be estimated from the composition of exponentially growing bacteria under the conditions of translation and nutrient limitation.

Quantitative models of bacterial physiology: This part emphasizes growth rate maximization. The growth rate is strongly dependent on many independent factors and many experiments seem to have limitations to them. The growth rate can be altered in many ways, such as ribosome limiting factors and temperature, as these experiments have shown.

Bacterial growth laws: This is where the RNA/Protein ratio take a big part within the experiment. E. Coli is mostly made up of RNA(85%), therefore, the RNA/Protein ratio is directly proportional to the mass fraction of ribosomes in the cell. In terms of nutrient quality, a linear relationship exists between the ribosome content and the growth rate.

Name Equation Extra equations within original equation Variable Equations
Monod’s growth equation λ = λm*[S’/([S]+Km) Λ=λm*(Kn/(Kn+Kt)) λ is the specific growth rate of the microorganisms λm is the maximum specific growth rate of the microorganisms S is the concentration of the limiting substrate for growth Ks is the "half-velocity constant"—the value of S when μ/μmax = 0.5

We use this equation to determine the growth rate of E. coli. This suggests that factors such as the RNA in E. coli affect cell density.

In-Depth Explanation of the Graph

We plotted the log-log density curve over time and found that there is a linear relationship between the two variables. This correlation shows how we can determine how dense a colony is at a specific time. We tested this by plating E.Coli and measuring the absorbance over time intervals, and we used a series of calculations to find the cell density.

Conclusion

By plotting the specific variables in Monod's equation, we can see that rate is similar to that of the graph above. We suggest that this graphic is extremely useful for determining how dense E. Coli is at a specific time. This can be useful in knowing exactly how much chitin degraded at a specific time point. We use both the equation and the graph to draw quantitative results in error-prone PCR, such as knowing which chitinase plate had the highest efficacy.