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Müssel C, Ikonomi N, Werle SD, Weidner FM, Maucher M, Schwab JD, Kestler HA. CANTATA - prediction of missing links in Boolean networks using genetic programming. Bioinformatics 2022; 38:4893-4900. [PMID: 36094334 PMCID: PMC9620829 DOI: 10.1093/bioinformatics/btac623] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/02/2022] [Revised: 08/25/2022] [Accepted: 09/09/2022] [Indexed: 11/27/2022] Open
Abstract
Motivation Biological processes are complex systems with distinct behaviour. Despite the growing amount of available data, knowledge is sparse and often insufficient to investigate the complex regulatory behaviour of these systems. Moreover, different cellular phenotypes are possible under varying conditions. Mathematical models attempt to unravel these mechanisms by investigating the dynamics of regulatory networks. Therefore, a major challenge is to combine regulations and phenotypical information as well as the underlying mechanisms. To predict regulatory links in these models, we established an approach called CANTATA to support the integration of information into regulatory networks and retrieve potential underlying regulations. This is achieved by optimizing both static and dynamic properties of these networks. Results Initial results show that the algorithm predicts missing interactions by recapitulating the known phenotypes while preserving the original topology and optimizing the robustness of the model. The resulting models allow for hypothesizing about the biological impact of certain regulatory dependencies. Availability and implementation Source code of the application, example files and results are available at https://github.com/sysbio-bioinf/Cantata. Supplementary information Supplementary data are available at Bioinformatics online.
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Affiliation(s)
- Christoph Müssel
- Institute of Medical Systems Biology, Ulm University, 89081 Ulm, Baden-Wuerttemberg, Germany
| | - Nensi Ikonomi
- Institute of Medical Systems Biology, Ulm University, 89081 Ulm, Baden-Wuerttemberg, Germany
| | - Silke D Werle
- Institute of Medical Systems Biology, Ulm University, 89081 Ulm, Baden-Wuerttemberg, Germany
| | - Felix M Weidner
- Institute of Medical Systems Biology, Ulm University, 89081 Ulm, Baden-Wuerttemberg, Germany
| | - Markus Maucher
- Institute of Medical Systems Biology, Ulm University, 89081 Ulm, Baden-Wuerttemberg, Germany
| | - Julian D Schwab
- Institute of Medical Systems Biology, Ulm University, 89081 Ulm, Baden-Wuerttemberg, Germany
| | - Hans A Kestler
- Institute of Medical Systems Biology, Ulm University, 89081 Ulm, Baden-Wuerttemberg, Germany
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Huang K, Jiao Y, Liu C, Deng W, Wang Z. Robust network structure reconstruction based on Bayesian compressive sensing. CHAOS (WOODBURY, N.Y.) 2019; 29:093119. [PMID: 31575152 DOI: 10.1063/1.5109375] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/08/2019] [Accepted: 08/26/2019] [Indexed: 06/10/2023]
Abstract
Complex network has proven to be a general model to characterize interactions of practical complex systems. Recently, reconstructing the structure of complex networks with limited and noisy data attracts much research attention and has gradually become a hotspot. However, the collected data are often contaminated by unknown outliers inevitably, which seriously affects the accuracy of network reconstruction. Unfortunately, the existence of outliers is hard to be identified and always ignored in the network structure reconstruction task. To address this issue, here we propose a novel method which involves the outliers from the Bayesian perspective. The accuracy and the robustness of the proposed method have been verified in network reconstruction with payoff data contaminated with some outliers on both artificial networks and empirical networks. Extensive simulation results demonstrate the superiority of the proposed method. Thus, it can be concluded that since the proposed method can identify and get rid of outliers in observation data, it is conducive to improve the performance of network reconstruction.
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Affiliation(s)
- Keke Huang
- School of Automation, Central South University, Changsha 410083, China
| | - Yang Jiao
- School of Automation, Central South University, Changsha 410083, China
| | - Chen Liu
- Center for Ecology and Environmental Sciences, Northwestern Polytechnical University, Xi'an 710072, China
| | - Wenfeng Deng
- School of Automation, Central South University, Changsha 410083, China
| | - Zhen Wang
- School of Mechanical Engineering and Center for Optical Imagery Analysis and Learning, Northwestern Polytechnical University, Xi'an 710072, China
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Integrated network model provides new insights into castration-resistant prostate cancer. Sci Rep 2015; 5:17280. [PMID: 26603105 PMCID: PMC4658549 DOI: 10.1038/srep17280] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/02/2015] [Accepted: 10/28/2015] [Indexed: 12/12/2022] Open
Abstract
Castration-resistant prostate cancer (CRPC) is the main challenge for prostate cancer treatment. Recent studies have indicated that extending the treatments to simultaneously targeting different pathways could provide better approaches. To better understand the regulatory functions of different pathways, a system-wide study of CRPC regulation is necessary. For this purpose, we constructed a comprehensive CRPC regulatory network by integrating multiple pathways such as the MEK/ERK and the PI3K/AKT pathways. We studied the feedback loops of this network and found that AKT was involved in all detected negative feedback loops. We translated the network into a predictive Boolean model and analyzed the stable states and the control effects of genes using novel methods. We found that the stable states naturally divide into two obvious groups characterizing PC3 and DU145 cells respectively. Stable state analysis further revealed that several critical genes, such as PTEN, AKT, RAF, and CDKN2A, had distinct expression behaviors in different clusters. Our model predicted the control effects of many genes. We used several public datasets as well as FHL2 overexpression to verify our finding. The results of this study can help in identifying potential therapeutic targets, especially simultaneous targets of multiple pathways, for CRPC.
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Zou YM. Boolean networks with multiexpressions and parameters. IEEE/ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS 2013; 10:584-592. [PMID: 24091393 DOI: 10.1109/tcbb.2013.79] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
To model biological systems using networks, it is desirable to allow more than two levels of expression for the nodes and to allow the introduction of parameters. Various modeling and simulation methods addressing these needs using Boolean models, both synchronous and asynchronous, have been proposed in the literature. However, analytical study of these more general Boolean networks models is lagging. This paper aims to develop a concise theory for these different Boolean logic-based modeling methods. Boolean models for networks where each node can have more than two levels of expression and Boolean models with parameters are defined algebraically with examples provided. Certain classes of random asynchronous Boolean networks and deterministic moduli asynchronous Boolean networks are investigated in detail using the setting introduced in this paper. The derived theorems provide a clear picture for the attractor structures of these asynchronous Boolean networks.
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Affiliation(s)
- Yi Ming Zou
- University of Wisconsin-Milwaukee, Milwaukee
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Facchetti G, Iacono G, De Palo G, Altafini C. A rate-distortion theory for gene regulatory networks and its application to logic gate consistency. Bioinformatics 2013; 29:1166-73. [DOI: 10.1093/bioinformatics/btt116] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022] Open
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Azpeitia E, Weinstein N, Benítez M, Mendoza L, Alvarez-Buylla ER. Finding Missing Interactions of the Arabidopsis thaliana Root Stem Cell Niche Gene Regulatory Network. FRONTIERS IN PLANT SCIENCE 2013; 4:110. [PMID: 23658556 PMCID: PMC3639504 DOI: 10.3389/fpls.2013.00110] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/23/2013] [Accepted: 04/10/2013] [Indexed: 05/09/2023]
Abstract
Over the last few decades, the Arabidopsis thaliana root stem cell niche (RSCN) has become a model system for the study of plant development and stem cell niche dynamics. Currently, many of the molecular mechanisms involved in RSCN maintenance and development have been described. A few years ago, we published a gene regulatory network (GRN) model integrating this information. This model suggested that there were missing components or interactions. Upon updating the model, the observed stable gene configurations of the RSCN could not be recovered, indicating that there are additional missing components or interactions in the model. In fact, due to the lack of experimental data, GRNs inferred from published data are usually incomplete. However, predicting the location and nature of the missing data is a not trivial task. Here, we propose a set of procedures for detecting and predicting missing interactions in Boolean networks. We used these procedures to predict putative missing interactions in the A. thaliana RSCN network model. Using our approach, we identified three necessary interactions to recover the reported gene activation configurations that have been experimentally uncovered for the different cell types within the RSCN: (1) a regulation of PHABULOSA to restrict its expression domain to the vascular cells, (2) a self-regulation of WOX5, possibly by an indirect mechanism through the auxin signaling pathway, and (3) a positive regulation of JACKDAW by MAGPIE. The procedures proposed here greatly reduce the number of possible Boolean functions that are biologically meaningful and experimentally testable and that do not contradict previous data. We believe that these procedures can be used on any Boolean network. However, because the procedures were designed for the specific case of the RSCN, formal demonstrations of the procedures should be shown in future efforts.
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Affiliation(s)
- Eugenio Azpeitia
- Laboratorio de Genética Molecular, Desarrollo y Evolución de Plantas, Instituto de Ecología, Universidad Nacional Autónoma de MéxicoCiudad Universitaria, México DF, México
- C3, Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de MéxicoMéxico DF, México
| | - Nathan Weinstein
- Departamento de Ecología de la Biodiversidad, Instituto de Ecología, Universidad Nacional Autónoma de MéxicoCiudad Universitaria, México DF, México
| | - Mariana Benítez
- C3, Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de MéxicoMéxico DF, México
- Instituto de Investigaciones Biomédicas, Universidad Nacional Autónoma de MéxicoCd. Universitaria, México DF, México
| | - Luis Mendoza
- Departamento de Ecología de la Biodiversidad, Instituto de Ecología, Universidad Nacional Autónoma de MéxicoCiudad Universitaria, México DF, México
- *Correspondence: Luis Mendoza, Instituto de Investigaciones Biomédicas, Universidad Nacional Autónoma de México, Apartado Postal 70228, Ciudad Universitaria, México DF 04510, México. e-mail: ; Elena R. Alvarez-Buylla, Laboratorio Genética Molecular, Desarrollo y Evolución de Plantas, Instituto de Ecología, Universidad Nacional Autónoma de México, Circ. Exterior anexo al Jardín Botánico, Ciudad Universitaria, Del. Coyoacán, 04510 México DF, México. e-mail:
| | - Elena R. Alvarez-Buylla
- Laboratorio de Genética Molecular, Desarrollo y Evolución de Plantas, Instituto de Ecología, Universidad Nacional Autónoma de MéxicoCiudad Universitaria, México DF, México
- C3, Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de MéxicoMéxico DF, México
- *Correspondence: Luis Mendoza, Instituto de Investigaciones Biomédicas, Universidad Nacional Autónoma de México, Apartado Postal 70228, Ciudad Universitaria, México DF 04510, México. e-mail: ; Elena R. Alvarez-Buylla, Laboratorio Genética Molecular, Desarrollo y Evolución de Plantas, Instituto de Ecología, Universidad Nacional Autónoma de México, Circ. Exterior anexo al Jardín Botánico, Ciudad Universitaria, Del. Coyoacán, 04510 México DF, México. e-mail:
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Chang YH, Gray J, Tomlin C. Optimization-based inference for temporally evolving networks with applications in biology. J Comput Biol 2012; 19:1307-23. [PMID: 23210478 DOI: 10.1089/cmb.2012.0190] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
Abstract
The problem of identifying dynamics of biological networks is of critical importance in order to understand biological systems. In this article, we propose a data-driven inference scheme to identify temporally evolving network representations of genetic networks. In the formulation of the optimization problem, we use an adjacency map as a priori information and define a cost function that both drives the connectivity of the graph to match biological data as well as generates a sparse and robust network at corresponding time intervals. Through simulation studies of simple examples, it is shown that this optimization scheme can help capture the topological change of a biological signaling pathway, and furthermore, might help to understand the structure and dynamics of biological genetic networks.
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Affiliation(s)
- Young Hwan Chang
- Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1770, USA
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Pritchard L, Birch P. A systems biology perspective on plant-microbe interactions: biochemical and structural targets of pathogen effectors. PLANT SCIENCE : AN INTERNATIONAL JOURNAL OF EXPERIMENTAL PLANT BIOLOGY 2011; 180:584-603. [PMID: 21421407 DOI: 10.1016/j.plantsci.2010.12.008] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/01/2010] [Revised: 12/13/2010] [Accepted: 12/15/2010] [Indexed: 05/22/2023]
Abstract
Plants have biochemical defences against stresses from predators, parasites and pathogens. In this review we discuss the interaction of plant defences with microbial pathogens such as bacteria, fungi and oomycetes, and viruses. We examine principles of complex dynamic networks that allow identification of network components that are differentially and predictably sensitive to perturbation, thus making them likely effector targets. We relate these principles to recent developments in our understanding of known effector targets in plant-pathogen systems, and propose a systems-level framework for the interpretation and modelling of host-microbe interactions mediated by effectors. We describe this framework briefly, and conclude by discussing useful experimental approaches for populating this framework.
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Affiliation(s)
- Leighton Pritchard
- Plant Pathology Programme, SCRI, Errol Road, Invergowrie, Dundee, Scotland DD25DA, UK.
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