Difference between revisions of "Team:ZJUT-China/Model"

 
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<h2 class="pagetitle"> <strong>Modeling</strong></h2>
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<h1> Modeling</h1>
 
  
 
<p>This year our team created a fermenter model of our light-induced self-lysin system. Our model informed the possible positions for company to input the light source. And it also provide cost budget in fermentation process for reference. This model, presenting below, consists of the ideal figure of fermenter and calculating process of the cost budget.</p>
 
<p>This year our team created a fermenter model of our light-induced self-lysin system. Our model informed the possible positions for company to input the light source. And it also provide cost budget in fermentation process for reference. This model, presenting below, consists of the ideal figure of fermenter and calculating process of the cost budget.</p>
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<li>Offering two options to input the LED lamps.</li>
 
<li>Offering two options to input the LED lamps.</li>
 
<li>Calculating the cost of our biological crushing method and comparing it with traditional mechanical one.</li>
 
<li>Calculating the cost of our biological crushing method and comparing it with traditional mechanical one.</li>
</p>
 
 
<p>
 
Please see the <a href="https://2017.igem.org/Judging/Medals"> 2017 Medals Page</a> for more information.
 
 
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</p>
 
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<h4> I. Fermentation Tank Model </h4>
 
<h4> I. Fermentation Tank Model </h4>
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<img src="https://static.igem.org/mediawiki/2017/2/2b/Modeling1-Fermentation_Tank_Model.png">
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<ol><img src="https://static.igem.org/mediawiki/2017/2/2b/Modeling1-Fermentation_Tank_Model.png" height="800" width="400"></ol>
</ul>Figure 1: Two possible positions to input the LED lamp:①fixing in the side of the fermentation tank;②fixing on the stirring shaft and rotating with the stirring shaft.
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</ul><ol><ol>Figure 1: Two possible positions to input the LED lamp:①fixing in the side of the fermentation tank;②fixing on the stirring shaft and rotating with the stirring shaft.</ol></ol>
<p>
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</center>
  
 
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   <ol>According to the experiment, light intensity should reach 20lux. In the Fermenter’s center cross section, the average illuminance (Eav) can be calculated with the following equation:<img src="https://static.igem.org/mediawiki/2017/5/5d/Gongshi1.png"></ol>
 
   <ol>According to the experiment, light intensity should reach 20lux. In the Fermenter’s center cross section, the average illuminance (Eav) can be calculated with the following equation:<img src="https://static.igem.org/mediawiki/2017/5/5d/Gongshi1.png"></ol>
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<i>
 
   <ol><ol>Φ- luminous flux of one lamp</ol></ol>
 
   <ol><ol>Φ- luminous flux of one lamp</ol></ol>
 
   <ol><ol>N - the number of lamps</ol></ol>
 
   <ol><ol>N - the number of lamps</ol></ol>
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   <ol><ol>K - maintenance factor (light loss factor, the ratio of average illumination after a period of fermentation process to the average illumination while the system is on installation.</ol></ol>
 
   <ol><ol>K - maintenance factor (light loss factor, the ratio of average illumination after a period of fermentation process to the average illumination while the system is on installation.</ol></ol>
 
   <ol><ol>S - surface area</ol></ol>
 
   <ol><ol>S - surface area</ol></ol>
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</i>
  
  
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   <ol>We can conclude that:<img src="https://static.igem.org/mediawiki/2017/0/0e/Jieguo1.png"></ol>
 
   <ol>We can conclude that:<img src="https://static.igem.org/mediawiki/2017/0/0e/Jieguo1.png"></ol>
   <ol><img src="https://static.igem.org/mediawiki/2017/5/55/Modeling2.png"></ol>
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   <ol><center><img src="https://static.igem.org/mediawiki/2017/archive/5/55/20171101105305%21Modeling2.png" height="400" width="550"></center></ol>
   <ol><ol>Figure 2: the relationship between the number of lamps and its power.</ol></ol>
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   <ol><ol><center>Figure 2: the relationship between the number of lamps and its power.</center></ol></ol>
  
 
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   <ol>Suppose that the cost of one tank(C) consists of three parts: Electricity (E), Equipment cost (EC) and Maintenance Cost(MC).<img src="https://static.igem.org/mediawiki/2017/5/58/Gongshi3.png">-----③</ol>
 
   <ol>Suppose that the cost of one tank(C) consists of three parts: Electricity (E), Equipment cost (EC) and Maintenance Cost(MC).<img src="https://static.igem.org/mediawiki/2017/5/58/Gongshi3.png">-----③</ol>
 
   <ol>With regard to Electricity Cost:<img src="https://static.igem.org/mediawiki/2017/5/5a/Gongshi4.png">-----④</ol>
 
   <ol>With regard to Electricity Cost:<img src="https://static.igem.org/mediawiki/2017/5/5a/Gongshi4.png">-----④</ol>
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<i> 
 
   <ol><ol>P-the power of each LED lamp</ol></ol>
 
   <ol><ol>P-the power of each LED lamp</ol></ol>
 
   <ol><ol>T- work time</ol></ol>
 
   <ol><ol>T- work time</ol></ol>
 
   <ol><ol>K1- Electricity per kWh</ol></ol>
 
   <ol><ol>K1- Electricity per kWh</ol></ol>
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</i>
  
 
   <ol>Equipment cost consist of fermentation tank renovation fee(Tube type for 2000yuan, Baffle type for 4000yuan, here we choose the average price 3000yuan) and the cost of LED lamps:<img src="https://static.igem.org/mediawiki/2017/7/7d/Gongshi5.png">-----⑤</ol>
 
   <ol>Equipment cost consist of fermentation tank renovation fee(Tube type for 2000yuan, Baffle type for 4000yuan, here we choose the average price 3000yuan) and the cost of LED lamps:<img src="https://static.igem.org/mediawiki/2017/7/7d/Gongshi5.png">-----⑤</ol>
   <ol><ol>K -price of one LED lamp</ol></ol>
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   <i><ol><ol>K -price of one LED lamp</ol></ol></i>
  
 
   <ol>Supposing that the work time limit of LED is 6000h, the Maintenance Cost include the cost of purchasing new LED lamps:<img src="https://static.igem.org/mediawiki/2017/1/10/Gongshi6.png">-----⑥</ol>
 
   <ol>Supposing that the work time limit of LED is 6000h, the Maintenance Cost include the cost of purchasing new LED lamps:<img src="https://static.igem.org/mediawiki/2017/1/10/Gongshi6.png">-----⑥</ol>
 
   <ol>Replace the variables in ③ with ④⑤⑥.Take P=0.003kw, N=21, k=55yuan, k1=1yuan/kwh( generally between 0.86 and 1.8).We can conclude that:<img src="https://static.igem.org/mediawiki/2017/a/ab/Jieguo2.png"></ol>
 
   <ol>Replace the variables in ③ with ④⑤⑥.Take P=0.003kw, N=21, k=55yuan, k1=1yuan/kwh( generally between 0.86 and 1.8).We can conclude that:<img src="https://static.igem.org/mediawiki/2017/a/ab/Jieguo2.png"></ol>
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<p><ul><li>Comparing with traditional mechanical method</li>
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<div class="clear"></div>
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  <ol>Take Xinhai biological company for example, Equipment cost (Homogenizer) is 25000yuan. Supposing that the additional Maintenance fees are 5000yuan per 6000 hour and the Electricity is 1.15yuan per hour. Thus the cost of traditional broken way C1 can be described as:<img src="https://static.igem.org/mediawiki/2017/6/63/Jieguo3.png">-----③</ol>
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 +
  <ol>Then figure these two functions:<center><img src="https://static.igem.org/mediawiki/2017/a/a4/Modeling3.png" height="400" width="800"></center></ol>
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  <center>Figure 3: the cost of biological method is much lower than traditional one in a long period</center>
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                <i>
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                <ol><ol><ol><ol><ol><ol><ol><ol>Code:  t=linspace(0,1000000);</ol></ol></ol></ol></ol></ol></ol></ol>
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                <ol><ol><ol><ol><ol><ol><ol><ol><ol>f1=(fix(t-6000)+1).*1155+3000+0.063.*t;</ol></ol></ol></ol></ol></ol></ol></ol></ol>
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                <ol><ol><ol><ol><ol><ol><ol><ol><ol>f2=1.15.*t+250000+5000.*fix(t-6000);</ol></ol></ol></ol></ol></ol></ol></ol></ol>
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                <ol><ol><ol><ol><ol><ol><ol><ol><ol>plot(t,f1);</ol></ol></ol></ol></ol></ol></ol></ol></ol>
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                <ol><ol><ol><ol><ol><ol><ol><ol><ol>hold on</ol></ol></ol></ol></ol></ol></ol></ol></ol>
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                <ol><ol><ol><ol><ol><ol><ol><ol><ol>plot(t,f2);</ol></ol></ol></ol></ol></ol></ol></ol></ol>
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                </i>
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<p><ul><li>Cost difference</li>
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<div class="clear"></div>
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  <ol>While for the first 6000 working hour of these light system (ignoring the Maintenance Cost), the cost difference of these two methods is:<img src="https://static.igem.org/mediawiki/2017/4/49/Jieguo4.png">-----③</ol>
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  <ol>Thus in the beginning it can help the constant save about 20845yuan.</ol>
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Latest revision as of 23:15, 1 November 2017

ZJUT-China

IGEM

Modeling

This year our team created a fermenter model of our light-induced self-lysin system. Our model informed the possible positions for company to input the light source. And it also provide cost budget in fermentation process for reference. This model, presenting below, consists of the ideal figure of fermenter and calculating process of the cost budget.

For Gold Medal Criterion #3

We developed our model with two main goals:

  • Offering two options to input the LED lamps.
  • Calculating the cost of our biological crushing method and comparing it with traditional mechanical one.

I. Fermentation Tank Model

      Figure 1: Two possible positions to input the LED lamp:①fixing in the side of the fermentation tank;②fixing on the stirring shaft and rotating with the stirring shaft.
Annotations:
  • The choice of light source:
      Considering that the fermentation broth is a multi-solute turbid solution and the flow of fermentation liquid will have a greater impact on the light-emitting device, we choose scattered high-power LED blue light source. It has many advantages such as high purity, low spectrum, low energy consumption, which suited for the process of fermentation.
  • Related LED lights parameters:
    1. Wavelength λ = 435nm
    2. power P = 3W
    3. luminous flux Φ = 80lm (generally between 80 ~ 100lm / W)
    4. price k= 55 yuan
  • Fermentation tank parameters:
    1. diameter D = 5280mm;
    2. height H = 11617mm;
    3. oval head short axle b = 1320mm

II. Cost Budget Model

  • The required number of lamps
    According to the experiment, light intensity should reach 20lux. In the Fermenter’s center cross section, the average illuminance (Eav) can be calculated with the following equation:
      Φ- luminous flux of one lamp
      N - the number of lamps
      CU - the space utilization factor (the ratio of the luminous flux reaching the illuminated surface to the total luminous flux emitted by the fixture), which is related to the design of the LED lamp, the height of the installation, the geometric characteristics of the space and the reflectivity.
      K - maintenance factor (light loss factor, the ratio of average illumination after a period of fermentation process to the average illumination while the system is on installation.
      S - surface area
    Thus the number of LED lights can be expressed as:
      Take CU = 0.6; K = 0.4;Φ = 80lm
    We can conclude that:
      Figure 2: the relationship between the number of lamps and its power.

    Thus in all we need 21 LED lamps.

  • Cost budget of blue-light system
    Suppose that the cost of one tank(C) consists of three parts: Electricity (E), Equipment cost (EC) and Maintenance Cost(MC).-----③
    With regard to Electricity Cost:-----④
      P-the power of each LED lamp
      T- work time
      K1- Electricity per kWh
    Equipment cost consist of fermentation tank renovation fee(Tube type for 2000yuan, Baffle type for 4000yuan, here we choose the average price 3000yuan) and the cost of LED lamps:-----⑤
      K -price of one LED lamp
    Supposing that the work time limit of LED is 6000h, the Maintenance Cost include the cost of purchasing new LED lamps:-----⑥
    Replace the variables in ③ with ④⑤⑥.Take P=0.003kw, N=21, k=55yuan, k1=1yuan/kwh( generally between 0.86 and 1.8).We can conclude that:

  • Comparing with traditional mechanical method
    Take Xinhai biological company for example, Equipment cost (Homogenizer) is 25000yuan. Supposing that the additional Maintenance fees are 5000yuan per 6000 hour and the Electricity is 1.15yuan per hour. Thus the cost of traditional broken way C1 can be described as:-----③
    Then figure these two functions:
Figure 3: the cost of biological method is much lower than traditional one in a long period
                  Code: t=linspace(0,1000000);
                    f1=(fix(t-6000)+1).*1155+3000+0.063.*t;
                    f2=1.15.*t+250000+5000.*fix(t-6000);
                    plot(t,f1);
                    hold on
                    plot(t,f2);

  • Cost difference
    While for the first 6000 working hour of these light system (ignoring the Maintenance Cost), the cost difference of these two methods is:-----③
    Thus in the beginning it can help the constant save about 20845yuan.