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Pušnik Ž, Mraz M, Zimic N, Moškon M. Computational analysis of viable parameter regions in models of synthetic biological systems. J Biol Eng 2019; 13:75. [PMID: 31548864 PMCID: PMC6751877 DOI: 10.1186/s13036-019-0205-0] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/24/2019] [Accepted: 09/05/2019] [Indexed: 01/22/2023] Open
Abstract
Background Gene regulatory networks with different topological and/or dynamical properties might exhibit similar behavior. System that is less perceptive for the perturbations of its internal and external factors should be preferred. Methods for sensitivity and robustness assessment have already been developed and can be roughly divided into local and global approaches. Local methods focus only on the local area around nominal parameter values. This can be problematic when parameters exhibits the desired behavior over a large range of parameter perturbations or when parameter values are unknown. Global methods, on the other hand, investigate the whole space of parameter values and mostly rely on different sampling techniques. This can be computationally inefficient. To address these shortcomings ’glocal’ approaches were developed that apply global and local approaches in an effective and rigorous manner. Results Herein, we present a computational approach for ’glocal’ analysis of viable parameter regions in biological models. The methodology is based on the exploration of high-dimensional viable parameter spaces with global and local sampling, clustering and dimensionality reduction techniques. The proposed methodology allows us to efficiently investigate the viable parameter space regions, evaluate the regions which exhibit the largest robustness, and to gather new insights regarding the size and connectivity of the viable parameter regions. We evaluate the proposed methodology on three different synthetic gene regulatory network models, i.e. the repressilator model, the model of the AC-DC circuit and the model of the edge-triggered master-slave D flip-flop. Conclusions The proposed methodology provides a rigorous assessment of the shape and size of viable parameter regions based on (1) the mathematical description of the biological system of interest, (2) constraints that define feasible parameter regions and (3) cost function that defines the desired or observed behavior of the system. These insights can be used to assess the robustness of biological systems, even in the case when parameter values are unknown and more importantly, even when there are multiple poorly connected viable parameter regions in the solution space. Moreover, the methodology can be efficiently applied to the analysis of biological systems that exhibit multiple modes of the targeted behavior.
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Affiliation(s)
- Žiga Pušnik
- University of Ljubljana, Faculty of Computer and Information Science, Večna pot 113, Ljubljana, 1000 Slovenia
| | - Miha Mraz
- University of Ljubljana, Faculty of Computer and Information Science, Večna pot 113, Ljubljana, 1000 Slovenia
| | - Nikolaj Zimic
- University of Ljubljana, Faculty of Computer and Information Science, Večna pot 113, Ljubljana, 1000 Slovenia
| | - Miha Moškon
- University of Ljubljana, Faculty of Computer and Information Science, Večna pot 113, Ljubljana, 1000 Slovenia
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2
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Yildirim N, Aktas ME, Ozcan SN, Akbas E, Ay A. Differential transcriptional regulation by alternatively designed mechanisms: A mathematical modeling approach. In Silico Biol 2019; 12:95-127. [PMID: 27497472 DOI: 10.3233/isb-160467] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Cells maintain cellular homeostasis employing different regulatory mechanisms to respond external stimuli. We study two groups of signal-dependent transcriptional regulatory mechanisms. In the first group, we assume that repressor and activator proteins compete for binding to the same regulatory site on DNA (competitive mechanisms). In the second group, they can bind to different regulatory regions in a noncompetitive fashion (noncompetitive mechanisms). For both competitive and noncompetitive mechanisms, we studied the gene expression dynamics by increasing the repressor or decreasing the activator abundance (inhibition mechanisms), or by decreasing the repressor or increasing the activator abundance (activation mechanisms). We employed delay differential equation models. Our simulation results show that the competitive and noncompetitive inhibition mechanisms exhibit comparable repression effectiveness. However, response time is fastest in the noncompetitive inhibition mechanism due to increased repressor abundance, and slowest in the competitive inhibition mechanism by increased repressor level. The competitive and noncompetitive inhibition mechanisms through decreased activator abundance show comparable and moderate response times, while the competitive and noncompetitive activation mechanisms by increased activator protein level display more effective and faster response. Our study exemplifies the importance of mathematical modeling and computer simulation in the analysis of gene expression dynamics.
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Affiliation(s)
- Necmettin Yildirim
- Division of Natural Sciences, New College of Florida, Bayshore Road, Sarasota, FL, USA
| | - Mehmet Emin Aktas
- Department of Mathematics, Florida State University, W College Ave, Tallahassee, FL, USA
| | - Seyma Nur Ozcan
- Department of Mathematics, North Carolina State University, Raleigh, NC, USA
| | - Esra Akbas
- Department of Computer Science, Florida State University, W College Ave, Tallahassee, FL, USA
| | - Ahmet Ay
- Departments of Biology and Mathematics, Colgate University, Oak Drive, Hamilton, NY, USA
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Cao J, Perez-Pinera P, Lowenhaupt K, Wu MR, Purcell O, de la Fuente-Nunez C, Lu TK. Versatile and on-demand biologics co-production in yeast. Nat Commun 2018; 9:77. [PMID: 29311542 PMCID: PMC5758815 DOI: 10.1038/s41467-017-02587-w] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/16/2017] [Accepted: 12/12/2017] [Indexed: 11/10/2022] Open
Abstract
Current limitations to on-demand drug manufacturing can be addressed by technologies that streamline manufacturing processes. Combining the production of two or more drugs into a single batch could not only be useful for research, clinical studies, and urgent therapies but also effective when combination therapies are needed or where resources are scarce. Here we propose strategies to concurrently produce multiple biologics from yeast in single batches by multiplexing strain development, cell culture, separation, and purification. We demonstrate proof-of-concept for three biologics co-production strategies: (i) inducible expression of multiple biologics and control over the ratio between biologic drugs produced together; (ii) consolidated bioprocessing; and (iii) co-expression and co-purification of a mixture of two monoclonal antibodies. We then use these basic strategies to produce drug mixtures as well as to separate drugs. These strategies offer a diverse array of options for on-demand, flexible, low-cost, and decentralized biomanufacturing applications without the need for specialized equipment.
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Affiliation(s)
- Jicong Cao
- Synthetic Biology Group, Department of Biological Engineering and Electrical Engineering & Computer Science, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.,Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.,The Broad Institute of MIT and Harvard, Cambridge, MA, 02139, USA
| | - Pablo Perez-Pinera
- Synthetic Biology Group, Department of Biological Engineering and Electrical Engineering & Computer Science, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.,Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.,Department of Bioengineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA
| | - Ky Lowenhaupt
- Synthetic Biology Group, Department of Biological Engineering and Electrical Engineering & Computer Science, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.,Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Ming-Ru Wu
- Synthetic Biology Group, Department of Biological Engineering and Electrical Engineering & Computer Science, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.,Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Oliver Purcell
- Synthetic Biology Group, Department of Biological Engineering and Electrical Engineering & Computer Science, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.,Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Cesar de la Fuente-Nunez
- Synthetic Biology Group, Department of Biological Engineering and Electrical Engineering & Computer Science, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.,Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Timothy K Lu
- Synthetic Biology Group, Department of Biological Engineering and Electrical Engineering & Computer Science, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA. .,Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA. .,The Broad Institute of MIT and Harvard, Cambridge, MA, 02139, USA.
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Abstract
Positive and negative feedback loops are often present in regulatory networks for genetic oscillations. Relative time scales and integration of these feedback loops are key to robust oscillations in expression levels. Using examples from the circadian clock and synthetic genetic oscillators, we study positive and negative feedback loops interlocked at competitive binding sites. In the mammalian circadian clock, a key clock gene Bmal1 is regulated by the activator ROR and the repressor REV-ERB. Conversely, Bmal1 activates both of them, forming interlocked feedback loops. Previous experiments indicate that the activator and repressor compete for the same binding sites in the Bmal1 promoter. Transcription patterns predict that ROR peaks later than REV-ERB and, moreover, the peak phase difference between them is small. Using mathematical modeling we reveal an optimal ratio of dissociation constants of an activator and a repressor for the competitive binding sites to enhance the amplitude of Bmal1 oscillations. This optimal ratio arises only when the amplitude of the repressor is larger than that of the activator. Secondly, we reveal that the preference of binding sites for an activator and a repressor depends on their relative time scales. A previous study demonstrated that noncompetitive binding sites are preferable for synthetic genetic oscillators that comprise a fast activator and a slow repressor with a large time scale separation. Here we show that when their time scales are similar, competitive binding sites are more likely to generate oscillation than noncompetitive sites. In contrast, for a slow activator and a fast repressor with a small phase difference as in Bmal1 regulation, noncompetitive binding sites are advantageous for amplifying oscillations. Our results, therefore, predict that additional mechanisms are necessary to compensate the disadvantage of the Bmal1 promoter and further facilitate amplification under the regulation by ROR and REV-ERB.
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Vasylchenkova A, Mraz M, Zimic N, Moskon M. Classical Mechanics Approach Applied to Analysis of Genetic Oscillators. IEEE/ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS 2017; 14:721-727. [PMID: 27076464 DOI: 10.1109/tcbb.2016.2550456] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Biological oscillators present a fundamental part of several regulatory mechanisms that control the response of various biological systems. Several analytical approaches for their analysis have been reported recently. They are, however, limited to only specific oscillator topologies and/or to giving only qualitative answers, i.e., is the dynamics of an oscillator given the parameter space oscillatory or not. Here, we present a general analytical approach that can be applied to the analysis of biological oscillators. It relies on the projection of biological systems to classical mechanics systems. The approach is able to provide us with relatively accurate results in the meaning of type of behavior system reflects (i.e., oscillatory or not) and periods of potential oscillations without the necessity to conduct expensive numerical simulations. We demonstrate and verify the proposed approach on three different implementations of amplified negative feedback oscillator.
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Lebar T, Bezeljak U, Golob A, Jerala M, Kadunc L, Pirš B, Stražar M, Vučko D, Zupančič U, Benčina M, Forstnerič V, Gaber R, Lonzarić J, Majerle A, Oblak A, Smole A, Jerala R. A bistable genetic switch based on designable DNA-binding domains. Nat Commun 2014; 5:5007. [PMID: 25264186 DOI: 10.1038/ncomms6007] [Citation(s) in RCA: 48] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/04/2014] [Accepted: 08/15/2014] [Indexed: 12/31/2022] Open
Abstract
Bistable switches are fundamental regulatory elements of complex systems, ranging from electronics to living cells. Designed genetic toggle switches have been constructed from pairs of natural transcriptional repressors wired to inhibit one another. The complexity of the engineered regulatory circuits can be increased using orthogonal transcriptional regulators based on designed DNA-binding domains. However, a mutual repressor-based toggle switch comprising DNA-binding domains of transcription-activator-like effectors (TALEs) did not support bistability in mammalian cells. Here, the challenge of engineering a bistable switch based on monomeric DNA-binding domains is solved via the introduction of a positive feedback loop composed of activators based on the same TALE domains as their opposing repressors and competition for the same DNA operator site. This design introduces nonlinearity and results in epigenetic bistability. This principle could be used to employ other monomeric DNA-binding domains such as CRISPR for applications ranging from reprogramming cells to building digital biological memory.
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Affiliation(s)
- Tina Lebar
- 1] Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia [2] EN-FIST Centre of Excellence, Ljubljana 1000, Slovenia
| | - Urban Bezeljak
- Slovenian iGEM Team 2012, National Institute of Chemistry and University of Ljubljana, Ljubljana 1000, Slovenia
| | - Anja Golob
- 1] Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia [2] Slovenian iGEM Team 2012, National Institute of Chemistry and University of Ljubljana, Ljubljana 1000, Slovenia
| | - Miha Jerala
- Slovenian iGEM Team 2012, National Institute of Chemistry and University of Ljubljana, Ljubljana 1000, Slovenia
| | - Lucija Kadunc
- 1] Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia [2] Slovenian iGEM Team 2012, National Institute of Chemistry and University of Ljubljana, Ljubljana 1000, Slovenia
| | - Boštjan Pirš
- Slovenian iGEM Team 2012, National Institute of Chemistry and University of Ljubljana, Ljubljana 1000, Slovenia
| | - Martin Stražar
- 1] Slovenian iGEM Team 2012, National Institute of Chemistry and University of Ljubljana, Ljubljana 1000, Slovenia [2] Faculty of Computer and Information Science, University of Ljubljana, Večna pot 113, Ljubljana 1000, Slovenia
| | - Dušan Vučko
- Slovenian iGEM Team 2012, National Institute of Chemistry and University of Ljubljana, Ljubljana 1000, Slovenia
| | - Uroš Zupančič
- Slovenian iGEM Team 2012, National Institute of Chemistry and University of Ljubljana, Ljubljana 1000, Slovenia
| | - Mojca Benčina
- 1] Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia [2] EN-FIST Centre of Excellence, Ljubljana 1000, Slovenia
| | - Vida Forstnerič
- Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia
| | - Rok Gaber
- 1] Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia [2] EN-FIST Centre of Excellence, Ljubljana 1000, Slovenia
| | - Jan Lonzarić
- 1] Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia [2] EN-FIST Centre of Excellence, Ljubljana 1000, Slovenia
| | - Andreja Majerle
- 1] Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia [2] EN-FIST Centre of Excellence, Ljubljana 1000, Slovenia
| | - Alja Oblak
- 1] Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia [2] EN-FIST Centre of Excellence, Ljubljana 1000, Slovenia
| | - Anže Smole
- Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia
| | - Roman Jerala
- 1] Department of Biotechnology, National Institute of Chemistry, Hajdrihova 19, Ljubljana 1000, Slovenia [2] EN-FIST Centre of Excellence, Ljubljana 1000, Slovenia
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Dasmahapatra S. Model of haplotype and phenotype in the evolution of a duplicated autoregulatory activator. J Theor Biol 2013; 325:83-102. [DOI: 10.1016/j.jtbi.2013.01.025] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/23/2012] [Revised: 11/28/2012] [Accepted: 01/29/2013] [Indexed: 10/27/2022]
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Miró-Bueno JM, Rodríguez-Patón A. A simple negative interaction in the positive transcriptional feedback of a single gene is sufficient to produce reliable oscillations. PLoS One 2011; 6:e27414. [PMID: 22205920 PMCID: PMC3244268 DOI: 10.1371/journal.pone.0027414] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/30/2011] [Accepted: 10/17/2011] [Indexed: 11/19/2022] Open
Abstract
Negative and positive transcriptional feedback loops are present in natural and synthetic genetic oscillators. A single gene with negative transcriptional feedback needs a time delay and sufficiently strong nonlinearity in the transmission of the feedback signal in order to produce biochemical rhythms. A single gene with only positive transcriptional feedback does not produce oscillations. Here, we demonstrate that this single-gene network in conjunction with a simple negative interaction can also easily produce rhythms. We examine a model comprised of two well-differentiated parts. The first is a positive feedback created by a protein that binds to the promoter of its own gene and activates the transcription. The second is a negative interaction in which a repressor molecule prevents this protein from binding to its promoter. A stochastic study shows that the system is robust to noise. A deterministic study identifies that the dynamics of the oscillator are mainly driven by two types of biomolecules: the protein, and the complex formed by the repressor and this protein. The main conclusion of this paper is that a simple and usual negative interaction, such as degradation, sequestration or inhibition, acting on the positive transcriptional feedback of a single gene is a sufficient condition to produce reliable oscillations. One gene is enough and the positive transcriptional feedback signal does not need to activate a second repressor gene. This means that at the genetic level an explicit negative feedback loop is not necessary. The model needs neither cooperative binding reactions nor the formation of protein multimers. Therefore, our findings could help to clarify the design principles of cellular clocks and constitute a new efficient tool for engineering synthetic genetic oscillators.
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Affiliation(s)
- Jesús M. Miró-Bueno
- Departamento de Inteligencia Artificial, Facultad de Informática, Universidad Politécnica de Madrid, Madrid, Spain
- * E-mail: (JMMB); (ARP)
| | - Alfonso Rodríguez-Patón
- Departamento de Inteligencia Artificial, Facultad de Informática, Universidad Politécnica de Madrid, Madrid, Spain
- * E-mail: (JMMB); (ARP)
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Abstract
The choice of promoter is a critical step in optimizing the efficiency and stability of recombinant protein production in mammalian cell lines. Artificial promoters that provide stable expression across cell lines and can be designed to the desired strength constitute an alternative to the use of viral promoters. Here, we show how the nucleotide characteristics of highly active human promoters can be modelled via the genome-wide frequency distribution of short motifs: by overlapping motifs that occur infrequently in the genome, we constructed contiguous sequence that is rich in GC and CpGs, both features of known promoters, but lacking homology to real promoters. We show that snippets from this sequence, at 100 base pairs or longer, drive gene expression in vitro in a number of mammalian cells, and are thus candidates for use in protein production. We further show that expression is driven by the general transcription factors TFIIB and TFIID, both being ubiquitously present across cell types, which results in less tissue- and species-specific regulation compared to the viral promoter SV40. We lastly found that the strength of a promoter can be tuned up and down by modulating the counts of GC and CpGs in localized regions. These results constitute a "proof-of-concept" for custom-designing promoters that are suitable for biotechnological and medical applications.
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