[{"_id":"6046","type":"journal_article","status":"public","date_updated":"2023-08-24T14:49:53Z","department":[{"_id":"GaTk"}],"abstract":[{"text":"Sudden stress often triggers diverse, temporally structured gene expression responses in microbes, but it is largely unknown how variable in time such responses are and if genes respond in the same temporal order in every single cell. Here, we quantified timing variability of individual promoters responding to sublethal antibiotic stress using fluorescent reporters, microfluidics, and time‐lapse microscopy. We identified lower and upper bounds that put definite constraints on timing variability, which varies strongly among promoters and conditions. Timing variability can be interpreted using results from statistical kinetics, which enable us to estimate the number of rate‐limiting molecular steps underlying different responses. We found that just a few critical steps control some responses while others rely on dozens of steps. To probe connections between different stress responses, we then tracked the temporal order and response time correlations of promoter pairs in individual cells. Our results support that, when bacteria are exposed to the antibiotic nitrofurantoin, the ensuing oxidative stress and SOS responses are part of the same causal chain of molecular events. In contrast, under trimethoprim, the acid stress response and the SOS response are part of different chains of events running in parallel. Our approach reveals fundamental constraints on gene expression timing and provides new insights into the molecular events that underlie the timing of stress responses.","lang":"eng"}],"acknowledged_ssus":[{"_id":"Bio"}],"pmid":1,"oa_version":"Submitted Version","scopus_import":"1","main_file_link":[{"url":"https://www.ncbi.nlm.nih.gov/pubmed/30765425","open_access":"1"}],"month":"02","intvolume":" 15","publication_status":"published","language":[{"iso":"eng"}],"volume":15,"issue":"2","article_number":"e8470","project":[{"_id":"25E9AF9E-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Revealing the mechanisms underlying drug interactions","grant_number":"P27201-B22"},{"grant_number":"RGP0042/2013","name":"Revealing the fundamental limits of cell growth","_id":"25EB3A80-B435-11E9-9278-68D0E5697425"}],"citation":{"ista":"Mitosch K, Rieckh G, Bollenbach MT. 2019. Temporal order and precision of complex stress responses in individual bacteria. Molecular systems biology. 15(2), e8470.","chicago":"Mitosch, Karin, Georg Rieckh, and Mark Tobias Bollenbach. “Temporal Order and Precision of Complex Stress Responses in Individual Bacteria.” Molecular Systems Biology. Embo Press, 2019. https://doi.org/10.15252/msb.20188470.","short":"K. Mitosch, G. Rieckh, M.T. Bollenbach, Molecular Systems Biology 15 (2019).","ieee":"K. Mitosch, G. Rieckh, and M. T. Bollenbach, “Temporal order and precision of complex stress responses in individual bacteria,” Molecular systems biology, vol. 15, no. 2. Embo Press, 2019.","apa":"Mitosch, K., Rieckh, G., & Bollenbach, M. T. (2019). Temporal order and precision of complex stress responses in individual bacteria. Molecular Systems Biology. Embo Press. https://doi.org/10.15252/msb.20188470","ama":"Mitosch K, Rieckh G, Bollenbach MT. Temporal order and precision of complex stress responses in individual bacteria. Molecular systems biology. 2019;15(2). doi:10.15252/msb.20188470","mla":"Mitosch, Karin, et al. “Temporal Order and Precision of Complex Stress Responses in Individual Bacteria.” Molecular Systems Biology, vol. 15, no. 2, e8470, Embo Press, 2019, doi:10.15252/msb.20188470."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"last_name":"Mitosch","full_name":"Mitosch, Karin","id":"39B66846-F248-11E8-B48F-1D18A9856A87","first_name":"Karin"},{"full_name":"Rieckh, Georg","last_name":"Rieckh","id":"34DA8BD6-F248-11E8-B48F-1D18A9856A87","first_name":"Georg"},{"id":"3E6DB97A-F248-11E8-B48F-1D18A9856A87","first_name":"Mark Tobias","orcid":"0000-0003-4398-476X","full_name":"Bollenbach, Mark Tobias","last_name":"Bollenbach"}],"external_id":{"isi":["000459628300003"],"pmid":["30765425"]},"article_processing_charge":"No","title":"Temporal order and precision of complex stress responses in individual bacteria","quality_controlled":"1","publisher":"Embo Press","oa":1,"isi":1,"year":"2019","day":"14","publication":"Molecular systems biology","doi":"10.15252/msb.20188470","date_published":"2019-02-14T00:00:00Z","date_created":"2019-02-24T22:59:18Z"},{"has_accepted_license":"1","year":"2017","day":"26","publication":"Cell Systems","page":"393 - 403","date_published":"2017-04-26T00:00:00Z","doi":"10.1016/j.cels.2017.03.001","date_created":"2018-12-11T11:47:48Z","quality_controlled":"1","publisher":"Cell Press","oa":1,"citation":{"ista":"Mitosch K, Rieckh G, Bollenbach MT. 2017. Noisy response to antibiotic stress predicts subsequent single cell survival in an acidic environment. Cell Systems. 4(4), 393–403.","chicago":"Mitosch, Karin, Georg Rieckh, and Mark Tobias Bollenbach. “Noisy Response to Antibiotic Stress Predicts Subsequent Single Cell Survival in an Acidic Environment.” Cell Systems. Cell Press, 2017. https://doi.org/10.1016/j.cels.2017.03.001.","ama":"Mitosch K, Rieckh G, Bollenbach MT. Noisy response to antibiotic stress predicts subsequent single cell survival in an acidic environment. Cell Systems. 2017;4(4):393-403. doi:10.1016/j.cels.2017.03.001","apa":"Mitosch, K., Rieckh, G., & Bollenbach, M. T. (2017). Noisy response to antibiotic stress predicts subsequent single cell survival in an acidic environment. Cell Systems. Cell Press. https://doi.org/10.1016/j.cels.2017.03.001","ieee":"K. Mitosch, G. Rieckh, and M. T. Bollenbach, “Noisy response to antibiotic stress predicts subsequent single cell survival in an acidic environment,” Cell Systems, vol. 4, no. 4. Cell Press, pp. 393–403, 2017.","short":"K. Mitosch, G. Rieckh, M.T. Bollenbach, Cell Systems 4 (2017) 393–403.","mla":"Mitosch, Karin, et al. “Noisy Response to Antibiotic Stress Predicts Subsequent Single Cell Survival in an Acidic Environment.” Cell Systems, vol. 4, no. 4, Cell Press, 2017, pp. 393–403, doi:10.1016/j.cels.2017.03.001."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Karin","id":"39B66846-F248-11E8-B48F-1D18A9856A87","last_name":"Mitosch","full_name":"Mitosch, Karin"},{"id":"34DA8BD6-F248-11E8-B48F-1D18A9856A87","first_name":"Georg","last_name":"Rieckh","full_name":"Rieckh, Georg"},{"first_name":"Tobias","id":"3E6DB97A-F248-11E8-B48F-1D18A9856A87","full_name":"Bollenbach, Tobias","orcid":"0000-0003-4398-476X","last_name":"Bollenbach"}],"publist_id":"7061","article_processing_charge":"Yes (in subscription journal)","title":"Noisy response to antibiotic stress predicts subsequent single cell survival in an acidic environment","project":[{"_id":"25E83C2C-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"Optimality principles in responses to antibiotics","grant_number":"303507"},{"_id":"25E9AF9E-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P27201-B22","name":"Revealing the mechanisms underlying drug interactions"},{"name":"Revealing the fundamental limits of cell growth","grant_number":"RGP0042/2013","_id":"25EB3A80-B435-11E9-9278-68D0E5697425"}],"publication_identifier":{"issn":["24054712"]},"publication_status":"published","file":[{"creator":"system","file_size":2438660,"date_updated":"2020-07-14T12:47:35Z","file_name":"IST-2017-901-v1+1_1-s2.0-S2405471217300868-main.pdf","date_created":"2018-12-12T10:13:54Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","checksum":"04ff20011c3d9a601c514aa999a5fe1a","file_id":"5041"}],"language":[{"iso":"eng"}],"volume":4,"issue":"4","related_material":{"record":[{"status":"public","id":"818","relation":"dissertation_contains"}]},"ec_funded":1,"abstract":[{"lang":"eng","text":"Antibiotics elicit drastic changes in microbial gene expression, including the induction of stress response genes. While certain stress responses are known to “cross-protect” bacteria from other stressors, it is unclear whether cellular responses to antibiotics have a similar protective role. By measuring the genome-wide transcriptional response dynamics of Escherichia coli to four antibiotics, we found that trimethoprim induces a rapid acid stress response that protects bacteria from subsequent exposure to acid. Combining microfluidics with time-lapse imaging to monitor survival and acid stress response in single cells revealed that the noisy expression of the acid resistance operon gadBC correlates with single-cell survival. Cells with higher gadBC expression following trimethoprim maintain higher intracellular pH and survive the acid stress longer. The seemingly random single-cell survival under acid stress can therefore be predicted from gadBC expression and rationalized in terms of GadB/C molecular function. Overall, we provide a roadmap for identifying the molecular mechanisms of single-cell cross-protection between antibiotics and other stressors."}],"oa_version":"Published Version","scopus_import":1,"month":"04","intvolume":" 4","date_updated":"2023-09-07T12:00:25Z","ddc":["576","610"],"file_date_updated":"2020-07-14T12:47:35Z","department":[{"_id":"ToBo"},{"_id":"GaTk"}],"_id":"666","type":"journal_article","tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"status":"public","pubrep_id":"901"},{"publisher":"Institute of Science and Technology Austria","oa":1,"has_accepted_license":"1","year":"2016","day":"01","page":"114","date_published":"2016-08-01T00:00:00Z","date_created":"2018-12-11T11:50:18Z","citation":{"ista":"Rieckh G. 2016. Studying the complexities of transcriptional regulation. Institute of Science and Technology Austria.","chicago":"Rieckh, Georg. “Studying the Complexities of Transcriptional Regulation.” Institute of Science and Technology Austria, 2016.","ieee":"G. Rieckh, “Studying the complexities of transcriptional regulation,” Institute of Science and Technology Austria, 2016.","short":"G. Rieckh, Studying the Complexities of Transcriptional Regulation, Institute of Science and Technology Austria, 2016.","apa":"Rieckh, G. (2016). Studying the complexities of transcriptional regulation. Institute of Science and Technology Austria.","ama":"Rieckh G. Studying the complexities of transcriptional regulation. 2016.","mla":"Rieckh, Georg. Studying the Complexities of Transcriptional Regulation. Institute of Science and Technology Austria, 2016."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publist_id":"6232","author":[{"id":"34DA8BD6-F248-11E8-B48F-1D18A9856A87","first_name":"Georg","last_name":"Rieckh","full_name":"Rieckh, Georg"}],"article_processing_charge":"No","title":"Studying the complexities of transcriptional regulation","abstract":[{"text":"The process of gene expression is central to the modern understanding of how cellular systems\r\nfunction. In this process, a special kind of regulatory proteins, called transcription factors,\r\nare important to determine how much protein is produced from a given gene. As biological\r\ninformation is transmitted from transcription factor concentration to mRNA levels to amounts of\r\nprotein, various sources of noise arise and pose limits to the fidelity of intracellular signaling.\r\nThis thesis concerns itself with several aspects of stochastic gene expression: (i) the mathematical\r\ndescription of complex promoters responsible for the stochastic production of biomolecules,\r\n(ii) fundamental limits to information processing the cell faces due to the interference from multiple\r\nfluctuating signals, (iii) how the presence of gene expression noise influences the evolution\r\nof regulatory sequences, (iv) and tools for the experimental study of origins and consequences\r\nof cell-cell heterogeneity, including an application to bacterial stress response systems.","lang":"eng"}],"oa_version":"Published Version","alternative_title":["ISTA Thesis"],"month":"08","publication_identifier":{"issn":["2663-337X"]},"publication_status":"published","degree_awarded":"PhD","file":[{"creator":"dernst","date_updated":"2019-08-13T11:46:25Z","file_size":2614660,"date_created":"2019-08-13T11:46:25Z","file_name":"Thesis_Georg_Rieckh_w_signature_page.pdf","access_level":"closed","relation":"main_file","content_type":"application/pdf","checksum":"ec453918c3bf8e6f460fd1156ef7b493","file_id":"6815"},{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"file_id":"8542","checksum":"51ae398166370d18fd22478b6365c4da","creator":"dernst","file_size":6096178,"date_updated":"2020-09-21T11:30:40Z","file_name":"Thesis_Georg_Rieckh.pdf","date_created":"2020-09-21T11:30:40Z"}],"language":[{"iso":"eng"}],"_id":"1128","type":"dissertation","status":"public","supervisor":[{"orcid":"0000-0002-6699-1455","full_name":"Tkacik, Gasper","last_name":"Tkacik","id":"3D494DCA-F248-11E8-B48F-1D18A9856A87","first_name":"Gasper"}],"date_updated":"2023-09-07T11:44:34Z","ddc":["570"],"file_date_updated":"2020-09-21T11:30:40Z","department":[{"_id":"GaTk"}]},{"oa_version":"Preprint","abstract":[{"text":"Gene expression is controlled primarily by interactions between transcription factor proteins (TFs) and the regulatory DNA sequence, a process that can be captured well by thermodynamic models of regulation. These models, however, neglect regulatory crosstalk: the possibility that noncognate TFs could initiate transcription, with potentially disastrous effects for the cell. Here, we estimate the importance of crosstalk, suggest that its avoidance strongly constrains equilibrium models of TF binding, and propose an alternative nonequilibrium scheme that implements kinetic proofreading to suppress erroneous initiation. This proposal is consistent with the observed covalent modifications of the transcriptional apparatus and predicts increased noise in gene expression as a trade-off for improved specificity. Using information theory, we quantify this trade-off to find when optimal proofreading architectures are favored over their equilibrium counterparts. Such architectures exhibit significant super-Poisson noise at low expression in steady state.","lang":"eng"}],"month":"12","intvolume":" 115","scopus_import":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1504.05716"}],"language":[{"iso":"eng"}],"publication_status":"published","related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"6473"}]},"volume":115,"issue":"24","ec_funded":1,"_id":"1576","status":"public","type":"journal_article","date_updated":"2023-09-07T12:55:21Z","department":[{"_id":"GaTk"}],"quality_controlled":"1","publisher":"American Physical Society","oa":1,"day":"08","publication":"Physical Review Letters","year":"2015","doi":"10.1103/PhysRevLett.115.248101","date_published":"2015-12-08T00:00:00Z","date_created":"2018-12-11T11:52:49Z","article_number":"248101","project":[{"name":"Limits to selection in biology and in evolutionary computation","grant_number":"250152","call_identifier":"FP7","_id":"25B07788-B435-11E9-9278-68D0E5697425"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Cepeda Humerez, Sarah A., et al. “Stochastic Proofreading Mechanism Alleviates Crosstalk in Transcriptional Regulation.” Physical Review Letters, vol. 115, no. 24, 248101, American Physical Society, 2015, doi:10.1103/PhysRevLett.115.248101.","ama":"Cepeda Humerez SA, Rieckh G, Tkačik G. Stochastic proofreading mechanism alleviates crosstalk in transcriptional regulation. Physical Review Letters. 2015;115(24). doi:10.1103/PhysRevLett.115.248101","apa":"Cepeda Humerez, S. A., Rieckh, G., & Tkačik, G. (2015). Stochastic proofreading mechanism alleviates crosstalk in transcriptional regulation. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.115.248101","short":"S.A. Cepeda Humerez, G. Rieckh, G. Tkačik, Physical Review Letters 115 (2015).","ieee":"S. A. Cepeda Humerez, G. Rieckh, and G. Tkačik, “Stochastic proofreading mechanism alleviates crosstalk in transcriptional regulation,” Physical Review Letters, vol. 115, no. 24. American Physical Society, 2015.","chicago":"Cepeda Humerez, Sarah A, Georg Rieckh, and Gašper Tkačik. “Stochastic Proofreading Mechanism Alleviates Crosstalk in Transcriptional Regulation.” Physical Review Letters. American Physical Society, 2015. https://doi.org/10.1103/PhysRevLett.115.248101.","ista":"Cepeda Humerez SA, Rieckh G, Tkačik G. 2015. Stochastic proofreading mechanism alleviates crosstalk in transcriptional regulation. Physical Review Letters. 115(24), 248101."},"title":"Stochastic proofreading mechanism alleviates crosstalk in transcriptional regulation","publist_id":"5595","author":[{"full_name":"Cepeda Humerez, Sarah A","last_name":"Cepeda Humerez","id":"3DEE19A4-F248-11E8-B48F-1D18A9856A87","first_name":"Sarah A"},{"id":"34DA8BD6-F248-11E8-B48F-1D18A9856A87","first_name":"Georg","last_name":"Rieckh","full_name":"Rieckh, Georg"},{"full_name":"Tkacik, Gasper","orcid":"0000-0002-6699-1455","last_name":"Tkacik","id":"3D494DCA-F248-11E8-B48F-1D18A9856A87","first_name":"Gasper"}]},{"oa":1,"quality_controlled":"1","publisher":"Biophysical Society","date_created":"2018-12-11T11:56:28Z","date_published":"2014-03-04T00:00:00Z","doi":"10.1016/j.bpj.2014.01.014","page":"1194 - 1204","publication":"Biophysical Journal","day":"04","year":"2014","title":"Noise and information transmission in promoters with multiple internal states","external_id":{"pmid":["24606943"]},"publist_id":"4730","author":[{"full_name":"Rieckh, Georg","last_name":"Rieckh","id":"34DA8BD6-F248-11E8-B48F-1D18A9856A87","first_name":"Georg"},{"orcid":"0000-0002-6699-1455","full_name":"Tkacik, Gasper","last_name":"Tkacik","first_name":"Gasper","id":"3D494DCA-F248-11E8-B48F-1D18A9856A87"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Rieckh, Georg, and Gašper Tkačik. “Noise and Information Transmission in Promoters with Multiple Internal States.” Biophysical Journal, vol. 106, no. 5, Biophysical Society, 2014, pp. 1194–204, doi:10.1016/j.bpj.2014.01.014.","ama":"Rieckh G, Tkačik G. Noise and information transmission in promoters with multiple internal states. Biophysical Journal. 2014;106(5):1194-1204. doi:10.1016/j.bpj.2014.01.014","apa":"Rieckh, G., & Tkačik, G. (2014). Noise and information transmission in promoters with multiple internal states. Biophysical Journal. Biophysical Society. https://doi.org/10.1016/j.bpj.2014.01.014","short":"G. Rieckh, G. Tkačik, Biophysical Journal 106 (2014) 1194–1204.","ieee":"G. Rieckh and G. Tkačik, “Noise and information transmission in promoters with multiple internal states,” Biophysical Journal, vol. 106, no. 5. Biophysical Society, pp. 1194–1204, 2014.","chicago":"Rieckh, Georg, and Gašper Tkačik. “Noise and Information Transmission in Promoters with Multiple Internal States.” Biophysical Journal. Biophysical Society, 2014. https://doi.org/10.1016/j.bpj.2014.01.014.","ista":"Rieckh G, Tkačik G. 2014. Noise and information transmission in promoters with multiple internal states. Biophysical Journal. 106(5), 1194–1204."},"intvolume":" 106","month":"03","main_file_link":[{"url":"http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4026790/","open_access":"1"}],"scopus_import":1,"oa_version":"Submitted Version","pmid":1,"abstract":[{"lang":"eng","text":"Based on the measurements of noise in gene expression performed during the past decade, it has become customary to think of gene regulation in terms of a two-state model, where the promoter of a gene can stochastically switch between an ON and an OFF state. As experiments are becoming increasingly precise and the deviations from the two-state model start to be observable, we ask about the experimental signatures of complex multistate promoters, as well as the functional consequences of this additional complexity. In detail, we i), extend the calculations for noise in gene expression to promoters described by state transition diagrams with multiple states, ii), systematically compute the experimentally accessible noise characteristics for these complex promoters, and iii), use information theory to evaluate the channel capacities of complex promoter architectures and compare them with the baseline provided by the two-state model. We find that adding internal states to the promoter generically decreases channel capacity, except in certain cases, three of which (cooperativity, dual-role regulation, promoter cycling) we analyze in detail."}],"volume":106,"issue":"5","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["00063495"]},"status":"public","type":"journal_article","_id":"2231","department":[{"_id":"GaTk"}],"date_updated":"2021-01-12T06:56:10Z"},{"acknowledgement":"This work was supported by the Austrian Federal Ministry of Transport, Innovation and Technology under the Grant Bmvit-isb2 and the FFG under the project Pr. Nr. 809089.","oa_version":"None","abstract":[{"text":"A boundary element model of a tunnel running through horizontally layered soil with anisotropic material properties is presented. Since there is no analytical fundamental solution for wave propagation inside a layered orthotropic medium in 3D, the fundamental displacements and stresses have to be calculated numerically. In our model this is done in the Fourier domain with respect to space and time. The assumption of a straight tunnel with infinite extension in the x direction makes it possible to decouple the system for every wave number kx, leading to a 2.5D-problem, which is suited for parallel computation. The special form of the fundamental solution, resulting from our Fourier ansatz, and the fact, that the calculation of the boundary integral equation is performed in the Fourier domain, enhances the stability and efficiency of the numerical calculations.","lang":"eng"}],"intvolume":" 36","month":"06","quality_controlled":"1","scopus_import":1,"publisher":"Elsevier","publication":" Engineering Analysis with Boundary Elements","language":[{"iso":"eng"}],"day":"01","year":"2012","publication_status":"published","date_created":"2018-12-11T12:02:24Z","volume":36,"issue":"6","date_published":"2012-06-01T00:00:00Z","doi":"10.1016/j.enganabound.2011.12.014","page":"960 - 967","_id":"3274","status":"public","type":"journal_article","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Rieckh G, Kreuzer W, Waubke H, Balazs P. 2012. A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil. Engineering Analysis with Boundary Elements. 36(6), 960–967.","chicago":"Rieckh, Georg, Wolfgang Kreuzer, Holger Waubke, and Peter Balazs. “A 2.5D-Fourier-BEM Model for Vibrations in a Tunnel Running through Layered Anisotropic Soil.” Engineering Analysis with Boundary Elements. Elsevier, 2012. https://doi.org/10.1016/j.enganabound.2011.12.014.","apa":"Rieckh, G., Kreuzer, W., Waubke, H., & Balazs, P. (2012). A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil. Engineering Analysis with Boundary Elements. Elsevier. https://doi.org/10.1016/j.enganabound.2011.12.014","ama":"Rieckh G, Kreuzer W, Waubke H, Balazs P. A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil. Engineering Analysis with Boundary Elements. 2012;36(6):960-967. doi:10.1016/j.enganabound.2011.12.014","short":"G. Rieckh, W. Kreuzer, H. Waubke, P. Balazs, Engineering Analysis with Boundary Elements 36 (2012) 960–967.","ieee":"G. Rieckh, W. Kreuzer, H. Waubke, and P. Balazs, “A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil,” Engineering Analysis with Boundary Elements, vol. 36, no. 6. Elsevier, pp. 960–967, 2012.","mla":"Rieckh, Georg, et al. “A 2.5D-Fourier-BEM Model for Vibrations in a Tunnel Running through Layered Anisotropic Soil.” Engineering Analysis with Boundary Elements, vol. 36, no. 6, Elsevier, 2012, pp. 960–67, doi:10.1016/j.enganabound.2011.12.014."},"date_updated":"2021-01-12T07:42:19Z","title":"A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil","department":[{"_id":"GaTk"}],"author":[{"first_name":"Georg","id":"34DA8BD6-F248-11E8-B48F-1D18A9856A87","full_name":"Rieckh, Georg","last_name":"Rieckh"},{"first_name":"Wolfgang","full_name":"Kreuzer, Wolfgang","last_name":"Kreuzer"},{"last_name":"Waubke","full_name":"Waubke, Holger","first_name":"Holger"},{"full_name":"Balazs, Peter","last_name":"Balazs","first_name":"Peter"}],"publist_id":"3372"}]