Team:TU Eindhoven/Modeling/Cell Encapsulation Modeling

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                   <h2>Cell Encapsulation Modeling</h2>
                   <h2>Cell Encapsulation Modeling</h2>
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                   <p>The modeling group focused on the microfluidics. With microfluidics the cells are separated into a single droplet. This process however is not very accurate. Sometimes the droplets do not contain the desired number of cells. This can be modelled using a Poisson distribution. In this model you can define an average number of cells per droplet, lambda. Lambda was varied to choose a suitable average number of cells per droplet for our microfluidic device.</p>
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                   <p>The modeling group focused on the microfluidics. With the use of microfluidics the cells are separated into single droplets. However, this process is not very accurate. Sometimes the droplets do not contain the desired number of cells. This inaccuracy can be modeled with the help of a Poisson distribution. In this model an average number of cells per droplet can be defined (lambda). Lambda can be varied in order to choose a suitable average number of cells per droplet for the cell encapsulation device [1].</p>
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<img id='Fig1' src="https://static.igem.org/mediawiki/2014/f/fc/TU_Eindhoven_Modeling1.jpg" class="image_wrapper image_fr" width="1085">
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<img id='Fig1' src="https://static.igem.org/mediawiki/2014/5/50/TU_Eindhoven_Poisson_distribution.jpg" class="image_wrapper image_fr" width="1085">
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<p style="font-size:18px;color:#CCCCCC;">Figure 1. Poisson distribution for multiple lambdas.</p>
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<p style="font-size:18px;color:#CCCCCC;">Figure 1. Poisson distribution for multiple lambdas</p>
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<p>This allows for the determination of the ratios between one cell/zero cells and one cell/ two or more cells. These both have to be as high as possible for a specific lambda.</p>
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<p>The data from <a href="#Fig1">Figure 1</a> is used for the determination of the ratios between <i>one cell:zero cells</i> and <i>one cell:two or more cells</i>. Both of these have to be as high as possible for a specific lambda, shown in <a href="#Fig2">Figure 2</a>.</p>
<img id='Fig2' src="https://static.igem.org/mediawiki/2014/0/09/TU_Eindhoven_Modeling2.jpg" class="image_wrapper image_fr" width="1085">
<img id='Fig2' src="https://static.igem.org/mediawiki/2014/0/09/TU_Eindhoven_Modeling2.jpg" class="image_wrapper image_fr" width="1085">
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<p style="font-size:18px;color:#CCCCCC;">Figure 2. Ratio between one cell/ zero cells or more cells</p>
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<p style="font-size:18px;color:#CCCCCC;">Figure 2. Ratio between one cell:zero cells or more cells</p>
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<p>Based on these results a lambda of 0.3 was chosen for the microfluidic device. The Poisson distribution for different number of cells becomes then as follows.</p>
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<p>Based on the results extracted from Figure 2, a lambda of 0.3 was chosen for the cell encapsulation device. Lastly, the Poisson distribution for different number of cells is shown in <a href="#Fig3">Figure 3</a>.</p>
<img id='Fig3' src="https://static.igem.org/mediawiki/2014/9/91/TU_Eindhoven_Modeling3.png" class="image_wrapper image_fr" width="1085">
<img id='Fig3' src="https://static.igem.org/mediawiki/2014/9/91/TU_Eindhoven_Modeling3.png" class="image_wrapper image_fr" width="1085">
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<p style="font-size:18px;color:#CCCCCC;">Figure 3. Modeled Poisson distribution for a specific lambda of 0.3 together with vs. the experimental Poisson distribution based on a lambda of 0.3.</p>
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<p style="font-size:18px;color:#CCCCCC;">Figure 3. Modeled Poisson distribution is shown together with the experimental Poisson distribution, both based on a specific lambda of 0.3</p>
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<p><a href="https://static.igem.org/mediawiki/2014/f/f9/TU_Eindhoven_Model.m">Click here to download the model</a></p>
<h4>Bibliography</h4>
<h4>Bibliography</h4>
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<p>Mazutis, Linas, John Gilbert, W Lloyd Ung, David A Weitz, Andrew D Griffiths and John A Heyman. Single-cell analysis and sorting using droplet-based microfluidics. Nature protocols 8.5 (2013): 870-891.</p>
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<p> [1] Mazutis, Linas, John Gilbert, W Lloyd Ung, David A Weitz, Andrew D Griffiths and John A Heyman. Single-cell analysis and sorting using droplet-based microfluidics. <i>Nature protocols</i> 8.5 (2013): 870-891.</p>
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Latest revision as of 00:24, 18 October 2014

iGEM Team TU Eindhoven 2014

iGEM Team TU Eindhoven 2014

Cell Encapsulation Modeling

The modeling group focused on the microfluidics. With the use of microfluidics the cells are separated into single droplets. However, this process is not very accurate. Sometimes the droplets do not contain the desired number of cells. This inaccuracy can be modeled with the help of a Poisson distribution. In this model an average number of cells per droplet can be defined (lambda). Lambda can be varied in order to choose a suitable average number of cells per droplet for the cell encapsulation device [1].

Figure 1. Poisson distribution for multiple lambdas

The data from Figure 1 is used for the determination of the ratios between one cell:zero cells and one cell:two or more cells. Both of these have to be as high as possible for a specific lambda, shown in Figure 2.

Figure 2. Ratio between one cell:zero cells or more cells

Based on the results extracted from Figure 2, a lambda of 0.3 was chosen for the cell encapsulation device. Lastly, the Poisson distribution for different number of cells is shown in Figure 3.

Figure 3. Modeled Poisson distribution is shown together with the experimental Poisson distribution, both based on a specific lambda of 0.3

Click here to download the model

Bibliography

[1] Mazutis, Linas, John Gilbert, W Lloyd Ung, David A Weitz, Andrew D Griffiths and John A Heyman. Single-cell analysis and sorting using droplet-based microfluidics. Nature protocols 8.5 (2013): 870-891.

iGEM Team TU Eindhoven 2014