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Quantitative Biology

ISSN 2095-4689

ISSN 2095-4697(Online)

CN 10-1028/TM

Postal Subscription Code 80-971

Quant. Biol.    2017, Vol. 5 Issue (1) : 76-89    https://doi.org/10.1007/s40484-017-0095-4
RESEARCH ARTICLE
Modeling information exchange between living and artificial cells
Keith C. Heyde1,MaryJoe K. Rice2,Sung-Ho Paek3,Felicia Y. Scott3,Ruihua Zhang3,Warren C. Ruder4()
1. Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA
2. Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA
3. Department of Biological Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA
4. Department of Bioengineering, University of Pittsburgh, Pittsburgh, PA 15219, USA
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Abstract

Background: The tools of synthetic biology have enabled researchers to explore multiple scientific phenomena by directly engineering signaling pathways within living cells and artificial protocells. Here, we explored the potential for engineered living cells themselves to assemble signaling pathways for non-living protocells. This analysis serves as a preliminary investigation into a potential origin of processes that may be utilized by complex living systems. Specifically, we suggest that if living cells can be engineered to direct the assembly of genetic signaling pathways from genetic biomaterials in their environment, then insight can be gained into how naturally occurring living systems might behave similarly.

Methods: To this end, we have modeled and simulated a system consisting of engineered cells that control the assembly of DNA monomers on microparticle scaffolds. These DNA monomers encode genetic circuits, and therefore, these microparticles can then be encapsulated with minimal transcription and translation systems to direct protocell phenotype. The modeled system relies on multiple previously established synthetic systems and then links these together to demonstrate system feasibility.

Results: In this specific model, engineered cells are induced to synthesize biotin, which competes with biotinylated, circuit-encoding DNA monomers for an avidinized-microparticle scaffold. We demonstrate that multiple synthetic motifs can be controlled in this way and can be tuned by manipulating parameters such as inducer and DNA concentrations.

Conclusions: We expect that this system will provide insight into the origin of living systems as well as serve as a tool for engineering living cells that assemble complex biomaterials in their environment.

Author Summary  We have quantitatively explored the potential for engineering living cells to assemble and program synthetic gene networks in artificial protocells. We envision engineering living cells that control the assembly of linear DNA on a microparticle scaffold. Synthetic circuits could be encoded in this linear DNA. Artificial cells could then be created by encapsulating these scaffolds with a transcription-translation, cell-free expression reaction. Quantitative models of this process show that protocell expression could be tuned by altering the gene network motifs within the engineered living cells. These results demonstrate the potential for engineering ecosystems of living and artificial cells.
Keywords synthetic biology      artificial cells      biotin      microparticles     
PACS:     
Fund: 
Corresponding Author(s): Warren C. Ruder   
Issue Date: 22 March 2017
 Cite this article:   
Keith C. Heyde,MaryJoe K. Rice,Sung-Ho Paek, et al. Modeling information exchange between living and artificial cells[J]. Quant. Biol., 2017, 5(1): 76-89.
 URL:  
https://academic.hep.com.cn/qb/EN/10.1007/s40484-017-0095-4
https://academic.hep.com.cn/qb/EN/Y2017/V5/I1/76
Fig.1  Linking engineered cells with cell-free systems.

(A) Engineered cells synthesize biotin when exposed to a precursor molecule, desthiobiotin (DTB), and an inducer chemical such as Isopropyl β-D-1-thiogalactopyranoside (IPTG). (B) DNA encoding for GFP synthesis can be biotinylated. Streptavidin may be immobilized onto portable, micro- or nano-scale particles. When in a solution together, biotin and biotinylated DNA compete for streptavidin binding sites. (C) Particles are encapsulated with cell-free solution within a membrane to form a protocell. The protocell’s transcriptional and translational behavior is governed by the concentration of DNA. (D) Genetically engineered E. coli cells are trapped in a microfluidic channel. This allows engineered cells to stay in exponential phase growth, ensuring maximum metabolic efficiency. (E) Microparticles functionalized with streptavidin bind with a biotinylated fluorophore, causing a measurable fluorescent response (E.i) and a fluorescent image (E.ii) captured using an epiflourescent microscope. (F) DNA encoding a GFP-producing cistron is encapsulated along with a TX-TL cell-free expression system within hydrofluorocarbon oil.

Fig.2  Programming engineered cells.

Synthetic gene regulatory networks are used to control the behavior of engineered cells. (A) The inducer/driver gene regulatory network (A.i) consists of a lacI-repressed promoter site driving the transcription of bioB, a gene encoding for biotin synthase. Then, when introduced, IPTG binds to lacI, inhibiting lacI’s ability to repress the promoter site. This induces the transcription of bioB. An electrical logic abstraction is shown (A.ii) to illustrate this system. Existing predictive, continuous models allow us to simulate this circuit’s behavior (A.iii). Similar representations are shown for a genetic inverter (B), a genetic OR-gate (C), a genetic AND-gate (D), and a genetic toggle switch (E).

Fig.3  Controllable biotin synthesis from engineered cells.

Cells containing an inverter circuit (Figure 2B) were simulated. The resulting biotin produced was plotted as a function of ATc and DTB.

Fig.4  Functionalized Microparticles Interact with Cell-Produced Biotin.

Cell-produced biotin and biotinylated DNA compete for streptavidin binding sites. (A) The competitive binding dynamics are modeled and tuned with previous experimental results (green). Shifts in the dynamic range occur by altering the concentration of biotinylated DNA within the system (yellow, orange, blue, black). (B) Total bead-bound DNA concentration per weight of beads may be calculated as a function of cell-produced biotin and the radius of the bead selected.

Fig.5  Fluorescent response of a cell-free system.

(A) The temporal dynamics of a cell-free systems may be modeled as a set of five ordinary differential equations, and simulated. (B) The maximum/steady-state levels of GFP produced by a cell-free system may be plotted as a function of the DNA concentration.

Fig.6  Engineered cells control the dynamics of cell-free protocells.

(A) Biotin synthesis response profiles for cells engineered to contain an inducer circuit. (B) Biotin synthesis response profile as a function of the inducer molecule, IPTG for a constant DTB value. (C) Bound, biotinylated DNA as a function of the IPTG introduced to the cells. (D) The maximum GFP response produced by the concentrations of DNA calculated from (D) with a constant bead radius. (E) By mapping (D) with (C), we plot the cell-free GFP produced as a function of the IPTG input to the engineered cells.

1 Ricardo, A. and Szostak, J. W. (2009) Origin of life on earth. Sci. Am., 301, 54–61
https://doi.org/10.1038/scientificamerican0909-54 pmid: 19708528
2 Szostak, J. W. (2009) Origins of life: systems chemistry on early Earth. Nature, 459, 171–172
https://doi.org/10.1038/459171a pmid: 19444196
3 Szostak, J. W., Bartel, D. P. and Luisi, P. L. (2001) Synthesizing life. Nature, 409, 387–390
https://doi.org/10.1038/35053176 pmid: 11201752
4 Adamala, K. P., Engelhart, A. E. and Szostak, J. W. (2016) Collaboration between primitive cell membranes and soluble catalysts. Nat. Commun., 7, 11041
https://doi.org/10.1038/ncomms11041 pmid: 26996603
5 Engelhart, A. E., Adamala, K. P. and Szostak, J. W. (2016) A simple physical mechanism enables homeostasis in primitive cells. Nat. Chem., 8, 448–453
https://doi.org/10.1038/nchem.2475 pmid: 27102678
6 Gibson, D. G., Glass, J. I., Lartigue, C., Noskov, V. N., Chuang, R. Y., Algire, M. A., Benders, G. A., Montague, M. G., Ma, L., Moodie, M. M., (2010) Creation of a bacterial cell controlled by a chemically synthesized genome. Science, 329, 52–56
https://doi.org/10.1126/science.1190719 pmid: 20488990
7 Hutchison, C. A. III, Chuang, R. Y., Noskov, V. N., Assad-Garcia, N., Deerinck, T. J., Ellisman, M. H., Gill, J., Kannan, K., Karas, B. J., Ma, L., (2016) Design and synthesis of a minimal bacterial genome. Science, 351, aad6253
https://doi.org/10.1126/science.aad6253 pmid: 27013737
8 Glass, J. I., Assad-Garcia, N., Alperovich, N., Yooseph, S., Lewis, M. R., Maruf, M., Hutchison C. A. III , Smith, H. O. and Venter, J. C. (2006) Essential genes of a minimal bacterium. Proc. Natl. Acad. Sci. USA, 103, 425–430
https://doi.org/10.1073/pnas.0510013103 pmid: 16407165
9 Zhang, R., Heyde, K. C., Scott, F. Y., Paek, S.-H.and Ruder, W. C. (2016) Programming surface chemistry with engineered cells. ACS Synth. Biol., 5, 936–941
https://doi.org/10.1021/acssynbio.6b00037 pmid: 27203116
10 Chen, A. Y., Deng, Z., Billings, A. N., Seker, U. O. S., Lu, M. Y., Citorik, R. J., Zakeri, B. and Lu, T. K. (2014) Synthesis and patterning of tunable multiscale materials with engineered cells. Nat. Mater., 13, 515–523
https://doi.org/10.1038/nmat3912 pmid: 24658114
11 Botyanszki, Z., Tay, P. K. R., Nguyen, P. Q., Nussbaumer, M. G. and Joshi, N. S. (2015) Engineered catalytic biofilms: site-specific enzyme immobilization onto E. coli curli nanofibers. Biotechnol. Bioeng., 112, 2016–2024
https://doi.org/10.1002/bit.25638 pmid: 25950512
12 Chen, A. Y., Zhong, C. and Lu, T. K. (2015) Engineering living functional materials. ACS Synth. Biol., 4, 8–11
https://doi.org/10.1021/sb500113b pmid: 25592034
13 Ridgley, D. M., Freedman, B. G., Lee, P. W. and Barone, J. R. (2014) Genetically encoded self-assembly of large amyloid fibers. Biomater. Sci., 2, 560–566
https://doi.org/10.1039/C3BM60223K
14 Gardner, T. S., Cantor, C. R. and Collins, J. J. (2000) Construction of a genetic toggle switch in Escherichia coli. Nature, 403, 339–342
https://doi.org/10.1038/35002131 pmid: 10659857
15 Elowitz, M. B. and Leibler, S. (2000) A synthetic oscillatory network of transcriptional regulators. Nature, 403, 335–338
https://doi.org/10.1038/35002125 pmid: 10659856
16 Friedland, A. E., Lu, T. K., Wang, X., Shi, D., Church, G. and Collins, J. J. ( 2009) Synthetic gene networks that count. Science, 324, 1199–1202
https://doi.org/10.1126/science.1172005 pmid: 19478183
17 Anderson, J. C., Voigt, C. A. and Arkin, A. P. (2007) Environmental signal integration by a modular AND gate. Mol. Syst. Biol., 3, 133
https://doi.org/10.1038/msb4100173 pmid: 17700541
18 Ellis, T., Wang, X. and Collins, J. J. (2009) Diversity-based, model-guided construction of synthetic gene networks with predicted functions. Nat. Biotechnol., 27, 465–471
https://doi.org/10.1038/nbt.1536 pmid: 19377462
19 Levskaya, A., Chevalier, A. A., Tabor, J. J., Simpson, Z. B., Lavery, L. A., Levy, M., Davidson, E. A., Scouras, A., Ellington, A. D., Marcotte, E. M., (2005) Synthetic biology: engineering Escherichia coli to see light. Nature, 438, 441–442
https://doi.org/10.1038/nature04405 pmid: 16306980
20 Bashor, C. J., Helman, N. C., Yan, S. and Lim, W. A. (2008) Using engineered scaffold interactions to reshape MAP kinase pathway signaling dynamics. Science, 319, 1539–1543
https://doi.org/10.1126/science.1151153 pmid: 18339942
21 Kramer, B. P., Viretta, A. U., Baba, M. D. -E., Aubel, D., Weber, W. and Fussenegger, M. (2004) An engineered epigenetic transgene switch in mammalian cells. Nat. Biotechnol., 22, 867–870
https://doi.org/10.1038/nbt980 pmid: 15184906
22 Blake, W. J., Balázsi, G., Kohanski, M. A., Isaacs, F. J., Murphy, K. F., Kuang, Y., Cantor, C. R., Walt, D. R. and Collins, J. J. (2006) Phenotypic consequences of promoter-mediated transcriptional noise. Mol. Cell, 24, 853–865
https://doi.org/10.1016/j.molcel.2006.11.003 pmid: 17189188
23 Eldar, A. and Elowitz, M. B. (2010) Functional roles for noise in genetic circuits. Nature, 467, 167–173
https://doi.org/10.1038/nature09326 pmid: 20829787
24 Guet, C. C., Elowitz, M. B., Hsing, W. and Leibler, S. (2002) Combinatorial synthesis of genetic networks. Science, 296, 1466–1470
https://doi.org/10.1126/science.1067407 pmid: 12029133
25 Kærn, M., Elston, T. C., Blake, W. J. and Collins, J. J. (2005) Stochasticity in gene expression: from theories to phenotypes. Nat. Rev. Genet., 6, 451–464
https://doi.org/10.1038/nrg1615 pmid: 15883588
26 Murphy, K. F., Adams, R. M., Wang, X., Balázsi, G. and Collins, J. J. (2010) Tuning and controlling gene expression noise in synthetic gene networks. Nucleic Acids Res., 38, 2712–2726
https://doi.org/10.1093/nar/gkq091 pmid: 20211838
27 Balázsi, G., van Oudenaarden, A. and Collins, J. J. (2011) Cellular decision making and biological noise: from microbes to mammals. Cell, 144, 910–925
https://doi.org/10.1016/j.cell.2011.01.030 pmid: 21414483
28 Elowitz, M. B., Levine, A. J., Siggia, E. D. and Swain, P. S. (2002) Stochastic gene expression in a single cell. Science, 297, 1183–1186
https://doi.org/10.1126/science.1070919 pmid: 12183631
29 Karzbrun, E., Tayar, A. M., Noireaux, V. and Bar-Ziv, R. H. (2014) Programmable on-chip DNA compartments as artificial cells. Science, 345, 829–832
https://doi.org/10.1126/science.1255550 pmid: 25124443
30 Noireaux, V., Maeda, Y. T. and Libchaber, A. (2011) Development of an artificial cell, from self-organization to computation and self-reproduction. Proc. Natl. Acad. Sci. USA, 108, 3473–3480
https://doi.org/10.1073/pnas.1017075108 pmid: 21317359
31 Shimizu, Y., Inoue, A., Tomari, Y., Suzuki, T., Yokogawa, T., Nishikawa, K. and Ueda, T. (2001) Cell-free translation reconstituted with purified components. Nat. Biotechnol., 19, 751–755
https://doi.org/10.1038/90802 pmid: 11479568
32 Tan, C., Saurabh, S., Bruchez, M. P., Schwartz, R. and Leduc, P. (2013) Molecular crowding shapes gene expression in synthetic cellular nanosystems. Nat. Nanotechnol., 8, 602–608
https://doi.org/10.1038/nnano.2013.132 pmid: 23851358
33 Weber, P. C., Ohlendorf, D. H., Wendoloski, J. J. and Salemme, F. R. (1989) Structural origins of high-affinity biotin binding to streptavidin. Science, 243, 85–88
https://doi.org/10.1126/science.2911722 pmid: 2911722
34 Green, N. M. (1963) Avidin. 3. The nature of the biotin-binding site. Biochem. J., 89, 599–609
https://doi.org/10.1042/bj0890599 pmid: 14101981
35 Huang, S. -C., Stump, M. D., Weiss, R. and Caldwell, K. D. (1996) Binding of biotinylated DNA to streptavidin-coated polystyrene latex: effects of chain length and particle size. Anal. Biochem., 237, 115–122
https://doi.org/10.1006/abio.1996.0208 pmid: 8660545
36 Noireaux, V., Bar-Ziv, R. and Libchaber, A. (2003) Principles of cell-free genetic circuit assembly. Proc. Natl. Acad. Sci. USA, 100, 12672–12677
https://doi.org/10.1073/pnas.2135496100 pmid: 14559971
37 Daube, S. S. and Bar-Ziv, R. H. (2013) Protein nanomachines assembly modes: cell-free expression and biochip perspectives. Wiley Interdiscip. Rev. Nanomed. Nanobiotechnol., 5, 613–628
https://doi.org/10.1002/wnan.1234 pmid: 23894031
38 Groisman, A., Lobo, C., Cho, H., Campbell, J. K., Dufour, Y. S., Stevens, A. M. and Levchenko, A. (2005) A microfluidic chemostat for experiments with bacterial and yeast cells. Nat. Methods, 2, 685–689
https://doi.org/10.1038/nmeth784 pmid: 16118639
39 Hol, F. J. H. and Dekker, C. (2014) Zooming in to see the bigger picture: microfluidic and nanofabrication tools to study bacteria. Science, 346, 1251821
https://doi.org/10.1126/science.1251821 pmid: 25342809
40 Sun, Z. Z., Hayes, C. A., Shin, J., Caschera, F., Murray, R. M. and Noireaux, V. (2013) Protocols for implementing an Escherichia coli based TX-TL cell-free expression system for synthetic biology. J. Vis. Exp., doi: 10.3791/50762
https://doi.org/10.3791/50762
41 Lutz, R. and Bujard, H. (1997) Independent and tight regulation of transcriptional units in Escherichia coli via the LacR/O, the TetR/O and AraC/I1-I2 regulatory elements. Nucleic Acids Res., 25, 1203–1210
https://doi.org/10.1093/nar/25.6.1203 pmid: 9092630
42 Sanyal, I., Cohen, G. and Flint, D. H. (1994) Biotin synthase: purification, characterization as a [2Fe-2S]cluster protein, and in vitro activity of the Escherichia coli bioB gene product. Biochemistry, 33, 3625–3631
https://doi.org/10.1021/bi00178a020 pmid: 8142361
43 Brophy, J. A. N. and Voigt, C. A. (2014) Principles of genetic circuit design. Nat. Methods, 11, 508–520
https://doi.org/10.1038/nmeth.2926 pmid: 24781324
44 Garcia-Ojalvo, J., Elowitz, M. B. and Strogatz, S. H. (2004) Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing. Proc. Natl. Acad. Sci. USA, 101, 10955–10960
https://doi.org/10.1073/pnas.0307095101 pmid: 15256602
45 Heyde, K. C. and Ruder, W. C. (2015) Exploring host-microbiome interactions using an in silico model of biomimetic robots and engineered living cells. Sci. Rep., 5, 11988
https://doi.org/10.1038/srep11988 pmid: 26178309
46 Anderson, J. C., Voigt, C. A. and Arkin, A. P. (2007) Environmental signal integration by a modular AND gate. Mol. Syst. Biol., 3, 133
https://doi.org/10.1038/msb4100173 pmid: 17700541
47 Cameron, D. E. and Collins, J. J. (2014) Tunable protein degradation in bacteria. Nat. Biotechnol., 32, 1276–1281
https://doi.org/10.1038/nbt.3053 pmid: 25402616
48 Gardner, T. S., Cantor, C. R. and Collins, J. J. (2000) Construction of a genetic toggle switch in Escherichia coli. Nature, 403, 339–342
https://doi.org/10.1038/35002131 pmid: 10659857
49 Johnson, K. A. and Goody, R. S. (2011) The original Michaelis constant: translation of the 1913 Michaelis-Menten paper. Biochemistry, 50, 8264–8269
https://doi.org/10.1021/bi201284u pmid: 21888353
50 González, M., Bagatolli, L. A., Echabe, I., Arrondo, J. L. R., Argaraña, C. E., Cantor, C. R. and Fidelio, G. D. (1997) Interaction of biotin with streptavidin. Thermostability and conformational changes upon binding. J. Biol. Chem., 272, 11288–11294
https://doi.org/10.1074/jbc.272.17.11288 pmid: 9111033
51 Schwarz-Schilling, M., Aufinger, L., Mückl, A. and Simmel, F. C. (2016) Chemical communication between bacteria and cell-free gene expression systems within linear chains of emulsion droplets. Integr. Biol., 8, 564–570
https://doi.org/10.1039/C5IB00301F pmid: 26778746
52 Stögbauer, T., Windhager, L., Zimmer, R. and Rädler, J. O. (2012) Experiment and mathematical modeling of gene expression dynamics in a cell-free system. Integr. Biol., 4, 494–501
https://doi.org/10.1039/c2ib00102k pmid: 22481223
53 Brenner, K., You, L. and Arnold, F. H. (2008) Engineering microbial consortia: a new frontier in synthetic biology. Trends Biotechnol., 26, 483–489
https://doi.org/10.1016/j.tibtech.2008.05.004 pmid: 18675483
54 Hays, S. G., Patrick, W. G., Ziesack, M., Oxman, N.and Silver, P. A. (2015) Better together: engineering and application of microbial symbioses. Curr. Opin. Biotechnol., 36, 40–49
https://doi.org/10.1016/j.copbio.2015.08.008 pmid: 26319893
55 Wintermute, E. H. and Silver, P. A. (2010) Dynamics in the mixed microbial concourse. Genes Dev., 24, 2603–2614
https://doi.org/10.1101/gad.1985210 pmid: 21123647
56 Balagaddé, F. K., Song, H., Ozaki, J., Collins, C. H., Barnet, M. , Arnold, F. H., Quake, S. R.and You, L. (2008) A synthetic Escherichia coli predator-prey ecosystem. Mol. Syst. Biol., 4, 187
https://doi.org/10.1038/msb.2008.24 pmid: 18414488
57 Heyde, K. C., Gallagher, P. W. and Ruder, W. C. (2016) Bioinspired decision architectures containing host and microbiome processing units. Bioinspir. Biomim., 11, 056017
https://doi.org/10.1088/1748-3190/11/5/056017 pmid: 27677187
58 Tran, H., Oliveira, S. M. D., Goncalves, N. and Ribeiro, A. S. (2015) Kinetics of the cellular intake of a gene expression inducer at high concentrations. Mol. Biosyst., 11, 2579–2587
https://doi.org/10.1039/C5MB00244C pmid: 26223179
59 Xu, H., Moraitis, M., Reedstrom, R. J. and Matthews, K. S. (1998) Kinetic and thermodynamic studies of purine repressor binding to corepressor and operator DNA. J. Biol. Chem., 273, 8958–8964
https://doi.org/10.1074/jbc.273.15.8958 pmid: 9535880
60 Politi, N., Pasotti, L., Zucca, S., Casanova, M., Micoli, G., Cusella De Angelis, M. G. and Magni, P. (2014) Half-life measurements of chemical inducers for recombinant gene expression. J. Biol. Eng., 8, 5
https://doi.org/10.1186/1754-1611-8-5 pmid: 24485151
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