Difference between revisions of "Team:UCopenhagen/Model"
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<h1>Modelling and design of chamber</h1> | <h1>Modelling and design of chamber</h1> | ||
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<h2> Calculations </h2> | <h2> Calculations </h2> | ||
| − | <p>To support our predictions for the chamber size, we made simple approximations for how the cells could bind to the membrane. The outcome of different membrane sizes, cell secretion rates and the needed size for specific proteins can then be evaluated. Previously experiments with the secretion of a SipA protein has been conducted. Here a secretion rate of 60 molecules per cell per second was found. The resulting production rate is then found. Here we assume a membrane size of 4 cm^2, a E. Coli attachment surface of 2 <span style="font-weight: 400;">μ</span> m^2 and we know the molecular weight of SipA is 74 kDa | + | <p>To support our predictions for the chamber size, we made simple approximations for how the cells could bind to the membrane. The outcome of different membrane sizes, cell secretion rates and the needed size for specific proteins can then be evaluated. Previously experiments with the secretion of a SipA protein has been conducted. Here a secretion rate of 60 molecules per cell per second was found. The resulting production rate is then found. Here we assume a membrane size of 4 cm^2, a E. Coli attachment surface of 2 <span style="font-weight: 400;">μ</span> m^2 and we know the molecular weight of SipA is 74 kDa |
| + | $$N_{cells} = {0.0004m^2} \over 2*10^(-12)m}$$ | ||
| + | $$N_{secreted} = N_{cells}*SecRate$$ | ||
| + | $$ProdRate = N_{secreted}*74kDa$$ | ||
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| − | + | We can then calculate the membrane size needed to produce the amount of insulin needed to maintain the health of an astronaut suffering of Type 1 Diabetes Mellitus, which is 0.5 to 1 U per kg per day. The molecule that is used as an example is Novorapid Insulin Aspartan, ith a molecular weight of | |
| + | $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$ | ||
| + | Contour plotting the production rate as a function of secretion rate and binding factor and finding the coefficients needed, allows us to evaluate the design </p> | ||
<img src="https://static.igem.org/mediawiki/2018/f/f9/T--UCopenhagen--PR10cm2.jpeg" alt="Finished printing"> | <img src="https://static.igem.org/mediawiki/2018/f/f9/T--UCopenhagen--PR10cm2.jpeg" alt="Finished printing"> | ||
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Revision as of 14:25, 15 October 2018
