Team:HKUST-Hong Kong/modeling.html

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<h3>2. MIC</h3>
 
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<br>Modeling</font></p>
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In an attempt to illustrate and understand the dynamics of a mixed bacterial population once subjected
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to reduction of indole concentration, we have proposed a complete mathematical model which
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<h4 align=left>2.1. Theory </h4>
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attempts to simulate the reduction of indole due to the activity of the T4MO enzyme complex.
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<a name=intro></a><b>0. Introduction</b><br>
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In order to quantitatively demonstrate the effect of indole charity as well as our construct’s ability to negate it, we have decided to perform a series of minimum inhibition concentration (MIC) tests, where we subjected different strains and mixes of E.coli to an antibiotic gradient and cultured overnight (18 hours). The OD600 readings of each test were recorded afterwards and will be shown in later sections. <a href=#top>[top]</a><br><br>
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<b>I. Wild Type (RR1) MIC Test</b><br>
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<u>Phase 1 - Kanamycin MIC test</u><br><br>
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<i>Experimental Design and Aim:<br></i>
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RR1 is a derivative from the common strain K12 and is not known to have any antibiotic resistance other than for streptomycin. Hence it was arbitrarily chosen as the non-resistant ‘wild type’ for our tests. A simple MIC  test was conducted for RR1  to serve as a benchmark for comparison with later experiments, and kanamycin was opted as the antibiotic of choice. This was primarily for two reasons:<br><br>
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First, the kanamycin resistance gene incorporated into our selection plasmids functions through producing a mutated ribosomal protein that is insensitive to kanamycin. Unlike some other forms of resistance where antibiotic molecules are directly inactivated, this method  ensures that the antibiotic levels remain relatively constant throughout the experiment, as well as prevents the appearance of satellite colonies during plating. <br>
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The other reason for choosing kanamycin is because, being an aminoglycoside, it acts by inhibiting protein synthesis through binding irreversibly to the 30S ribosome. This causes it to be bacteriostatic at low concentrations while bactericidal at high ones.<br><br>
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<i>Results:<br></i>
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However, since we are using another untested K12 strain, namely RR1, and our growth condition is normal LB liquid culture, RR-1 MIC was carried out in the first place to confirm the MIC value for the RR-1 source we obtained. <br><br>
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The result of the MIC turned out to be around 7~9µg/ml, which is slightly smaller than the result indicated by the paper. The difference in their genotype could be the dominant reason while the less nutritive culture we used may affect the testing result as well.(right or wrong????need to be proved)<br><br>
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<u>Phase 2 - Kanamycin MIC test with indole supplement<br><br></u>
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<i>Experimental Design and Aim:<br></i>
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Indole has been proposed as a key signalling molecule produced by unstressed (high resistant) E. coli  as a form of ‘charity’ that grants stressed  (low resistance) cells passive immunity against antibiotics. This enables such stressed individuals to continue to survive and proliferate. Indole functions by inducing the expression and activity of multidrug efflux pumps to expel antibiotics and toxins, as well as activating oxidative-stress protective mechanisms to minimize DNA damage.[1] In an attempt to prove and quantify this effect, we repeated the kanamycin MIC test, this time supplementing the LB medium with different concentrations of indole, ranging from 300µM to 2mM.<br><br>
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<i>Results:<br></i>
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The effect of indole on the MIC for RR-1 various under different concentration. Naturally, the indole production of E.coli is around 300µM while under antibiotic stress, the production will decrease to undetectable level.[1] We think the indole concentration of low and high resistance mixed culture should be around 300µM as well. However, the optimal concentration for charity work is still unknown.<br><br>
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For the testing under indole concentration of 300µM and 500µM, we can see that the MIC for RR-1 increased to (        )which is in consistence with the result of our Mixed culture MIC posted later. The RR-1 is able to survive under kanamycin concentration of  (      ) .<br><br>
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On the other hand, we also did some 1mM and 2mM indole MIC testing, which aims at finding out whether the over dosage of indole could kill the population instead of protecting them. The result shows that indole did have a killing effect at higher concentration and the MIC did decrease compared to the result of 300µM indole MIC.<br><br>
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Essentially, we make a few basic assumptions in order to formulate the model. Based on the evidences
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by Lee et. al. (2010) and Lee et. al. (2010), we expect that bacteria without antibiotic resistance gene will
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die due to loss of partial resistance conferred by the presence of indole. In addition, we assume that the
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indole production rate of the antibiotic-resistant bacteria remains constant and tied to the number of
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bacteria present in the culture. The same applies for the degradation rate by the bacteria producing the
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T4MO enzyme. In order for the model to work, we also assume that the degradation rate will surpass
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that of the production rate, creating a net reduction of indole in the culture (not mentioned explicitly in
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the paper).
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Using the above as the basis, we hypothesize that there is a critical amount of indole that will confer
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<b>II. Mixed Culture MIC Tests<br></b>
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partial antibiotic resistance to wild type bacteria, i.e. critical ratio. Once the amount of indole is too low,
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partial resistance would be lost, hence many wild type cells will die. This scenario would reflect our goal
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<u>Phase 1 - Wild type (RR1) with RFP-labelled kanamycin resistance strain (RFP) (99:1)<br><br></u>
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of preventing wild type cells from being able to obtain antibiotic resistance genes via horizontal gene
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transfer (HGT).
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<i>Experimental Design and Aim:<br></i>
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As metioned previously, when E. coli  cultures are subjected to antibiotic selection pressure, a small number of naturally resistant individuals, at some cost to themselves, provide protection to other more vulnerable cells by producing indole, resulting in an overall enhancement of the survival capacity of the population in stressful environments. To mimic this naturally occurred phenomenon, a kanamycin resistant strain, which represents the mutants, was introduced into the RR-1 at 1:99 ratio.  This kanamycin resistant strain was labeled with RFP for easy recognition. The ratio of kanamycin resistant strain, KanR/RFP, to RR-1 was recorded for later comparison with that of later mix culture assays.<br><br>
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<i>Results:<br></i>
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We can clearly see the effect of the charity work from our result. Even under kanamycin concentration of 25µg/ml, which is half of the working concentration of kanamycin and almost 3 folds of RR-1 MIC, RR-1 is still growing rapidly and maintain the majority of the overnight culture. The OD600 result didn’t show a clear co-relation with kanamycin concentration and is floating around 1.1.<br><br>
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The column chart also shows that the ratio of RFP to RR-1 falls between ½ and ⅓ after overnight culture. This ratio may change when the kanamycin concentration approach its working concentration. We plan to prove this in our future testing.
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<u>Phase 2 - Wild type (RR1) with kanamycin resistance T4MO (GRP)<br><br></u>
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<i>Experimental Design and Aim:<br></i>
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In order to interfere the indole charity work and obtain a more efficient selection, we introduce a plasmid which encodes Toluene-4-Monooxygenase (T4MO), an enzyme that catalyzes the oxidation of indole into indigo. To test its effect, we design a T4MO/KanR and RR-1 (1:1) mixture culture MIC test. In this test, we assume that the indole degradation rate of T4MO will be close to the indole producing rate of itself along with the mutated minority in RR-1, which means a lower MIC of RR-1 will be observed in comparison of the KanR/RFP and RR-1 mixculture due to the absence of the indole charity work. The ratio of T4MO/KanR to RR-1 was also kept in the testing for later comparison with that of the 3 way mix culture assay.<br><br>
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<i>
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Results:<br></i>
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Since the charity work is simply being weakened by the introduced enzyme, RR-1 is still growing quite well under kanamycin concentration of 25µg/ml. However, the ratio of the two strain, T4MO/KanR and RR-1, is different from former result from mixed culture of RFP/KanR and RR-1. Under lower kanamycin concentration, RR-1 still remain to be the majority of the culture and the difference is not very obvious. When kanamycin concentration exceeds 10µg/ml, we can see that T4MO out-competed RR-1 and became the majority of the overnight culture. Comparing with the ratio got from RFP&RR-1 mixed culture, we can draw the conclusion that the charity work of is weakened and the efficiency of (  )<br><br>
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<u>Phase 3 - Wild type (RR1), RFP-labelled kanR strain and GFP-Labeled KanR T4MO (98:1:1) [???]<br><br></u>
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It has been proved in the phase 2 that T4MO does interrupt the indole charity work. So in the next step, we plan to practice our model, which is introducing a T4MO strain into the environment predominantly consisting of RR-1with few kanamycin resistant mutants. By comparing the resulting ratio of RR-1 to the antibiotic resistant strain to that of the T4MO and RR-1 Mix culture, we may observe again the strong effect of indole; by comparing the resulting ratio of RR-1 to the antibiotic resistant strain to that of the KanR/RFP RR-1 Mix culture without T4MO, we would be able to tell how T4MO takes effect.<br><br>
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Even so, we revised our “Critical-Ratio model” due to one assumption (last assumption), where the
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death of the overall bacterial population is slow initially until we surpass the lower limits of the critical
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ratio (i.e. ratio of indole is lower than the critical ratio), in which the death increases significantly. One
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key reason is that we are unable to explain the sudden massive cell death (which includes resistant
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cells), as a gradual decrease of viable cells (all types) appears to be a more plausible scenario. The
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revision is done by removing the assumption that the reduction of bacterial population is tied to the
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presence of a critical ratio, but rather to a survival rate. With this, the model can illustrate the actual
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dynamics in an ideal manner.
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</p>
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<br />
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<p>
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The graphs in the diagram below is a rough illustration of a predicted outcome based on
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the two models mentioned above. It may not be very accurate as the Monte-Carlo method should be
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employed to illustrate the actual situation based on a wide array of random values for most parameters.
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Nonetheless, it is deemed adequate to represent our story well.
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</p>
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<br/>
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<p><b>You can access our full modeling report </b><a href="https://static.igem.org/mediawiki/2011/9/9b/HKUST_Model_Report.pdf"><font color="#FF0000"><b>here</b></font></a>.
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<br />
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<p>
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In addition, we have collaborated with the CUHK team to model the activity of <em>E. coli</em> bcr gene product
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(bcr multi-drug efflux pump) to understand the significance of the pump with relation to increasing the
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MIC of <em>E. coli</em> towards antibiotics (i.e. Kanamycin). The results unfortunately prove inconclusive for our
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understanding but we are grateful for their assistance.
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</p>
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<br />
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<p>You can access their collaboration page <a href="https://2011.igem.org/Team:Hong_Kong-CUHK/Laboratory/collaboration"><b>here</b></a>.
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</p>
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</br>
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<img src="https://static.igem.org/mediawiki/2011/1/18/HKUST_Modeling2.jpg" style="width:965px" >
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</br>
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</br>
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<p><u>References</u></p>
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<p>Lee J. H. and Lee J. (2010). Indole as an intercellular signal in microbial communities. <em>FEMS Microbiol Rev</em>, Vol. 34, p. 426-444 .</p>
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<p>Lee H. H., Molla M. N., Cantor C. R., and Collins, J. J. (2010). Bacterial charity work leads to population-wide resistance. <em>Nature</em>, Vol. 467, p. 82-85.</p>
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<b>III. Conclusion<br></b>
 
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[lalaala]
 
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<b>IV. Future Plans<br></b>
 
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<u>Phase II - Wild type (RR1), RFP-labeled kanR, and GFP-labeled T4MO/Bcr mix<br><br></u>
 
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Our ultimate goal is to boost the selection efficiency by introducing a T4MO/Bcr strain, which can interfere with the indole charity work. The Bcr gene, which encodes a multidrug pump, keep this strain survive and produce T4MO. By adjusting IPTG concentration, this strain will keep working for a certain period of time and die afterwards as to the accumulation of kanamycin inside the cell. However, as we didn’t have time to characterize the efficiency of Bcr, and another essential part of our project, the alternative selection method, is still in progress yet, we are unable to do this construction and perform further testing.<br><br>
 
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(insert a picture here showing out ideal construction)
 
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By having this strain in the population, the charity work will be restricted, so that the selection process can be done efficiently without applying over dosage of antibiotics, and the presence of this strain can be controlled by us so that this alien strain only performs the duty of degrading indole and brings no side effect on the whole selection process.<br><br>
 
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<b>V. Biobrick construction<br><br></b>
 
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<u>Bcr</u>
 
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Bcr is a type of multidrug efflux pump, which are integral membrane proteins that utilize cellular energy to extrude antibiotics or biocides actively out of the cell. It belongs to the major facilitator superfamily (MFS), and is known to contribute to multidrug resistance in E. coli. <br><br>
 
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Under normal growth conditions, a large number of drug efflux pumps are thought to be weakly expressed. In particular, literature documents Bcr to confer varying degrees of resistance to several kinds of antibiotics when overexpressed; including bicyclomycin (selection-capable), tetracycline (8-fold MIC increase*), and kanamycin (4-fold MIC increase*).<br><br>
 
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In our iGEM project, we planned to construct a biobrick with the pLac promoter driving expression of Bcr. The reason behind this is to take advantage of the additive effect of IPTG on pLac activation. We hope that by varying the concentration of IPTG, we can control the level of expression of Bcr and thus manipulate the mutant E. coli’s MIC to certain antibiotics.
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However, as the time limited,we only submit a plasmid contain only the bcr gene to part registry. You can use it for selection of bacteria in the future.<br><br>
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*: compared with wild type<br><br>
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<b>VI. Appendix<br><br></b>
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[Extra data] Protocols will probably be included in the Notebook section<br>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong" target=_top>
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<b><font color="#FFE1E1" size=3>Home</font></b>
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[1] (http://www.nature.com/nature/journal/v467/n7311/abs/nature09354.html)<br>
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[2](http://www.scielo.br/pdf/gmb/v26n2/a17v26n2.pdf)
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<b><font color="green">Our Project</font></b></p>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/overview.html" target=_top>Overview</a><font color="green"> | </font>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/data.html" target=_top>Data Page</a><br></p>
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<b><font color="green">Experiments and Results</font></b></p>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/asm.html"  target=_top>Strain Construction</a><font color="green"> | </font>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/mic.html"  target=_top>Culture Tests</a><font color="green"> | </font>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/modeling.html"  target=_top>Modeling</a><br></p>
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<h2>Modeling</h2>
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<b><font color="green">Miscellaneous</font></b></p>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/notebook.html" target=_top>Notebook</a></p>
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<img src=.jpg width=100 height=100><BR>
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<b><font color="#FFF4D0">iGEM Resources</font></b></p>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/acknowledgement.html" target=_top>Acknowledgements</a></p>
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<b><font color="#FFF4D0">The Team</font></b></p>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/team.html" target=_top>iGEM Member List</a><font color="#FFF4D0"> | </font>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/contribution.html" target=_top>Contributions</a><br></p>
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<b><font color="#FFF4D0">Achievements</font></b></p>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/medal.html" target=_top>Medal Requirements</a><font color="#FFF4D0"> | </font>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/biosafety.html" target=_top>BioSafety</a><br></p>
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<b><font color="#FFF4D0">BioBricks</font></b></p>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/characterization.html" target=_top>Master List & Characterization Data</a><br></p>
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<a href=https://2011.igem.org/Team:HKUST-Hong_Kong><font face="Verdana, Arial, Helvetica, sans-serif" size="4" color="#FFE1E1" font color=white><span style="font-weight:700">Home</span></font></a></font></b></p>
 
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<p align="center" valign="baseline"><b> <font face="Verdana, Arial, Helvetica, sans-serif" size="3" color="green">
 
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Our Project</font></b></p>
 
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<a href="overview.html" target=_top>Overview</a> |
 
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<a href="data.html" target=_top>Data Page</a><br>
 
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<span style="line-height:1; font-weight:600">Experiments and Results</span><br>
 
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<a href="asm.html"  target=_top>Strain construction</a> |
 
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<a href="mic.html"  target=_top>Culture tests</a> |
 
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<a href="modeling.html"  target=_top>Modeling</a><br>
 
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<span style="line-height:1; font-weight:600">Miscellaneous</span><br>
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<a href="future.html" target=_top>Future Plans</a> |
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<b><font color="#FFE0E0">Human Practice</font></b></p>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/workshop.html" target=_top>Workshop</a><font color="white"> | </font>
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<a href="https://2011.igem.org/Team:HKUST-Hong_Kong/survey.html" target=_top>Survey</a><br></p>
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iGEM Resources</font></b></p>
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<a href="acknowledgement.html" target=_top>Acknowledgements</a><br>
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<span style="line-height:0.7; font-weight:600">The Team</span><br>
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<a href="team.html" target=_top>iGEM Member List</a> |
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<span style="line-height:0.7; font-weight:600">Achievements</span><br>
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<a href="characterization.html" target=_top>Master List & Characterization Data</a>
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Latest revision as of 14:36, 27 October 2011


Modeling



In an attempt to illustrate and understand the dynamics of a mixed bacterial population once subjected to reduction of indole concentration, we have proposed a complete mathematical model which attempts to simulate the reduction of indole due to the activity of the T4MO enzyme complex.


Essentially, we make a few basic assumptions in order to formulate the model. Based on the evidences by Lee et. al. (2010) and Lee et. al. (2010), we expect that bacteria without antibiotic resistance gene will die due to loss of partial resistance conferred by the presence of indole. In addition, we assume that the indole production rate of the antibiotic-resistant bacteria remains constant and tied to the number of bacteria present in the culture. The same applies for the degradation rate by the bacteria producing the T4MO enzyme. In order for the model to work, we also assume that the degradation rate will surpass that of the production rate, creating a net reduction of indole in the culture (not mentioned explicitly in the paper).


Using the above as the basis, we hypothesize that there is a critical amount of indole that will confer partial antibiotic resistance to wild type bacteria, i.e. critical ratio. Once the amount of indole is too low, partial resistance would be lost, hence many wild type cells will die. This scenario would reflect our goal of preventing wild type cells from being able to obtain antibiotic resistance genes via horizontal gene transfer (HGT).


Even so, we revised our “Critical-Ratio model” due to one assumption (last assumption), where the death of the overall bacterial population is slow initially until we surpass the lower limits of the critical ratio (i.e. ratio of indole is lower than the critical ratio), in which the death increases significantly. One key reason is that we are unable to explain the sudden massive cell death (which includes resistant cells), as a gradual decrease of viable cells (all types) appears to be a more plausible scenario. The revision is done by removing the assumption that the reduction of bacterial population is tied to the presence of a critical ratio, but rather to a survival rate. With this, the model can illustrate the actual dynamics in an ideal manner.


The graphs in the diagram below is a rough illustration of a predicted outcome based on the two models mentioned above. It may not be very accurate as the Monte-Carlo method should be employed to illustrate the actual situation based on a wide array of random values for most parameters. Nonetheless, it is deemed adequate to represent our story well.


You can access our full modeling report here.


In addition, we have collaborated with the CUHK team to model the activity of E. coli bcr gene product (bcr multi-drug efflux pump) to understand the significance of the pump with relation to increasing the MIC of E. coli towards antibiotics (i.e. Kanamycin). The results unfortunately prove inconclusive for our understanding but we are grateful for their assistance.


You can access their collaboration page here.




References

Lee J. H. and Lee J. (2010). Indole as an intercellular signal in microbial communities. FEMS Microbiol Rev, Vol. 34, p. 426-444 .

Lee H. H., Molla M. N., Cantor C. R., and Collins, J. J. (2010). Bacterial charity work leads to population-wide resistance. Nature, Vol. 467, p. 82-85.


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