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Pathway analysis with signaling hypergraphs

Published: 20 September 2014 Publication History

Abstract

Signaling pathways play an important role in the cell's response to its environment. Signaling pathways are often represented as directed graphs, which are not adequate for modeling reactions such as complex assembly and dissociation, combinatorial regulation, and protein activation/inactivation. More accurate representations such as directed hypergraphs remain underutilized. In this paper, we present an extension of a directed hypergraph that we call a signaling hypergraph. We formulate a problem that asks what proteins and interactions must be involved in order to stimulate a specific response downstream of a signaling pathway. We relate this problem to computing the shortest acyclic B-hyperpath in a signaling hypergraph --- an NP-hard problem --- and present a mixed integer linear program to solve it. We demonstrate that the shortest hyperpaths computed in signaling hypergraphs are far more informative than shortest paths found in corresponding graph representations. Our results illustrate the potential of signaling hypergraphs as an improved representation of signaling pathways and motivate the development of novel hypergraph algorithms.

References

[1]
G. Ausiello, R. Giaccio, G. F. Italiano, and U. Nanni. Optimal traversal of directed hypergraphs. Technical report, 1992.
[2]
M. Bailly-Bechet, C. Borgs, A. Braunstein, J. Chayes, A. Dagkessamanskaia, J. M. François, and R. Zecchina. Finding undetected protein associations in cell signaling by belief propagation. Proceedings of the National Academy of Sciences, 108(2):882--887, Jan. 2011.
[3]
C. Berge. Hypergraphs, Volume 45: Combinatorics of Finite Sets (North-Holland Mathematical Library). North Holland, 1 edition, Aug. 1989.
[4]
R. Cambini, G. Gallo, and M. Scutellà. Flows on hypergraphs. Mathematical Programming, 78(2):195--217, 1997.
[5]
D. Croft, G. O'Kelly, G. Wu, R. Haw, M. Gillespie, L. Matthews, M. Caudy, P. Garapati, G. Gopinath, B. Jassal, S. Jupe, I. Kalatskaya, S. Mahajan, B. May, N. Ndegwa, E. Schmidt, V. Shamovsky, C. Yung, E. Birney, H. Hermjakob, P. D'Eustachio, and L. Stein. Reactome: a database of reactions, pathways and biological processes. Nucleic Acids Research, 39(Database issue):D691--D697, Jan. 2011.
[6]
E. Demir, Ö. Babur, I. Rodchenkov, B. A. Aksoy, K. I. Fukuda, B. Gross, O. S. Sümer, G. D. Bader, and C. Sander. Using biological pathway data with Paxtools. PLOS Computational Biology, 9(9):e1003194, 2013.
[7]
E. Demir et al. The BioPAX community standard for pathway data sharing. Nature Biotechnology, 28(9):935--942, 2010.
[8]
U. Dogrusoz, A. Cetintas, E. Demir, and O. Babur. Algorithms for effective querying of compound graph-based pathway databases. BMC Bioinformatics, 10(376), 2009.
[9]
K. Fukuda and T. Takagi. Knowledge representation of signal transduction pathways. Bioinformatics, 17(9):829--837, 2001.
[10]
S. R. Gallagher and D. S. Goldberg. Clustering coefficients in protein interaction hypernetworks. In Proceedings of the International Conference on Bioinformatics, Computational Biology and Biomedical Informatics, BCB'13, pages 552:552--552:560, New York, NY, USA, 2013. ACM.
[11]
G. Gallo, G. Longo, S. Pallottino, and S. Nguyen. Directed hypergraphs and applications. Discrete Applied Mathematics, 42(2-3):177--201, 1993.
[12]
I. Gat-Viks and R. Shamir. Refinement and expansion of signaling pathways: the osmotic response network in yeast. Genome Research, 17(3):358--67, 2007.
[13]
L. S. Heath and A. A. Sioson. Semantics of multimodal network models. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 6(2):271--280, 2009.
[14]
J. Hendriksen, F. Fagotto, H. van der Velde, M. van Schie, J. Noordermeer, and M. Fornerod. RanBP3 enhances nuclear export of active (beta)-catenin independently of CRM1. J. Cell Biol., 171(5):785--797, Dec 2005.
[15]
Z. Hu, J. Mellor, J. Wu, M. Kanehisa, J. M. Stuart, and C. DeLisi. Towards zoomable multidimensional maps of the cell. Nature Biotechnology, 25(5):547--554, May 2007.
[16]
M. Kanehisa, S. Goto, Y. Sato, M. Furumichi, and M. Tanabe. KEGG for integration and interpretation of large-scale molecular data sets. Nucleic Acids Research, 40(Database issue):D109--114, Jan 2012.
[17]
G. Karlebach and R. Shamir. Modelling and analysis of gene regulatory networks. Nature Reviews Molecular Cell Biology, 9(10):770--780, September 2008.
[18]
S. Klamt, U.-U. Haus, and F. Theis. Hypergraphs and cellular networks. PLoS Computational Biology, 5(5):e1000385, 2009.
[19]
K. E. Knudsen, W. K. Cavenee, and K. C. Arden. D-type cyclins complex with the androgen receptor and inhibit its transcriptional transactivation ability. Cancer Res., 59(10):2297--2301, May 1999.
[20]
H. Li, J. H. Kim, S. S. Koh, and M. R. Stallcup. Synergistic effects of coactivators GRIP1 and beta-catenin on gene activation: cross-talk between androgen receptor and Wnt signaling pathways. J. Biol. Chem., 279(6):4212--4220, Feb 2004.
[21]
D. Machado, R. S. Costa, M. Rocha, E. C. Ferreira, B. Tidor, and I. Rocha. Modeling formalisms in Systems Biology. AMB Express, 1(1):45--14, Dec. 2011.
[22]
H. Matsuno, Y. Tanaka, A. H., A. Doi, M. Matsui, and S. Miyano. Biopathways representation and simulation on hybrid functional petri net. In Silico Biol., 3(3):389--404, 2003.
[23]
A. Ritz, A. N. Tegge, H. Kim, C. L. Poirel, and T. Murali. Signaling hypergraphs. Trends in Biotechnology, 32(7):356--362, 2014.
[24]
R. Samaga and S. Klamt. Modeling approaches for qualitative and semi-quantitative analysis of cellular signaling networks. Cell Commun. Signal, 11(1):43, 2013.
[25]
C. F. Schaefer, K. Anthony, S. Krupa, J. Buchoff, M. Day, T. Hannay, and K. H. Buetow. PID: the Pathway Interaction Database. Nucleic Acids Research, 37(Database issue):D674--D679, 2009.
[26]
M. Thakur and R. Tripathi. Linear connectivity problems in directed hypergraphs. Theoretical Computer Science, 410(27):2592--2618, 2009.
[27]
C. J. Vaske, S. C. Benz, J. Z. Sanborn, D. Earl, C. Szeto, J. Zhu, D. Haussler, and J. M. Stuart. Inference of patient-specific pathway activities from multi-dimensional cancer genomics data using PARADIGM. Bioinformatics, 26(12):i237--i245, 2010.

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  • (2024)Higher-Order Null Models as a Lens for Social SystemsPhysical Review X10.1103/PhysRevX.14.03103214:3Online publication date: 20-Aug-2024
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  • (2023)Design of Min-Max Disjoint Backward Hy-perpaths Algorithm in Acyclic Backward HypergraphAdvances in Applied Mathematics10.12677/AAM.2023.12205612:02(526-536)Online publication date: 2023
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cover image ACM Conferences
BCB '14: Proceedings of the 5th ACM Conference on Bioinformatics, Computational Biology, and Health Informatics
September 2014
851 pages
ISBN:9781450328944
DOI:10.1145/2649387
  • General Chairs:
  • Pierre Baldi,
  • Wei Wang
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Publication History

Published: 20 September 2014

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Author Tags

  1. hypergraphs
  2. mixed integer linear programming
  3. signaling pathways
  4. wnt signaling

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BCB '14
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BCB '14: ACM-BCB '14
September 20 - 23, 2014
California, Newport Beach

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Cited By

View all
  • (2024)Higher-Order Null Models as a Lens for Social SystemsPhysical Review X10.1103/PhysRevX.14.03103214:3Online publication date: 20-Aug-2024
  • (2024)Computing Robust Optimal Factories in Metabolic Reaction NetworksResearch in Computational Molecular Biology10.1007/978-1-0716-3989-4_16(253-269)Online publication date: 17-May-2024
  • (2023)Design of Min-Max Disjoint Backward Hy-perpaths Algorithm in Acyclic Backward HypergraphAdvances in Applied Mathematics10.12677/AAM.2023.12205612:02(526-536)Online publication date: 2023
  • (2023)Computing Shortest Hyperpaths for Pathway Inference in Cellular Reaction NetworksResearch in Computational Molecular Biology10.1007/978-3-031-29119-7_10(155-173)Online publication date: 3-Apr-2023
  • (2022)Heuristic shortest hyperpaths in cell signaling hypergraphsAlgorithms for Molecular Biology10.1186/s13015-022-00217-917:1Online publication date: 26-May-2022
  • (2019)Hypergraph-based connectivity measures for signaling pathway topologiesPLOS Computational Biology10.1371/journal.pcbi.100738415:10(e1007384)Online publication date: 25-Oct-2019
  • (2017)Pathway Analysis with Signaling HypergraphsIEEE/ACM Transactions on Computational Biology and Bioinformatics10.1109/TCBB.2015.245968114:5(1042-1055)Online publication date: 1-Sep-2017
  • (2016)Modeling Cell Signaling Networks with Prize-Collecting SubhypernetworksProceedings of the 7th ACM International Conference on Bioinformatics, Computational Biology, and Health Informatics10.1145/2975167.2985655(503-504)Online publication date: 2-Oct-2016

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