Skip to main content

Composing Globally Consistent Pathway Parameter Estimates Through Belief Propagation

  • Conference paper
Algorithms in Bioinformatics (WABI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 4645))

Included in the following conference series:

Abstract

Parameter estimation of large bio-pathway models is an important and difficult problem. To reduce the prohibitive computational cost, one approach is to decompose a large model into components and estimate their parameters separately. However, the decomposed components often share common parts that may have conflicting parameter estimates, as they are computed independently within each component. In this paper, we propose to use a probabilistic inference technique called belief propagation to reconcile these independent estimates in a principled manner and compute new estimates that are globally consistent and fit well with data. An important advantage of our approach in practice is that it naturally handles incomplete or noisy data. Preliminary results based on synthetic data show promising performance in terms of both accuracy and efficiency.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Felzenszwalb, P.F., Huttenlocher, D.P.: Efficient belief propagation for early vision. International J. of Comp. Vision 70(1), 41–54 (2006)

    Article  Google Scholar 

  • Friedman, N.: Inferring cellular networks using probabilistic graphical models. Science 303, 799–805 (2004)

    Article  Google Scholar 

  • Gill, P.E., Murray, W., Wright, M.H.: Practical Optimization. Academic Press, London (1982)

    Google Scholar 

  • Gat-Viks, I., Tanay, A., Raijman, D., Shamir, R.: The factor graph network model for biological systems. In: Proc. of the 9th Int. Conf. on Res. in Comp. Mol. Biol., pp. 31–48 (2005)

    Google Scholar 

  • Hoops, S., Sahle, S., Gauges, R., Lee, C., Pahle, J., Simus, N., Singhal, M., Xu, L., Mendes, P., Kummer, U.: COPASI - a COmplex PAthway SImulator. Bioinformatics 22(24), 3067–3074 (2006)

    Article  Google Scholar 

  • Ihler, A.T., Fisher, J.W., Moses, R.L., Willsky, A.S.: Nonparametric belief propagation for self-calibration in sensor networks. In: Proc. of the 2004 Int. Conf. on Inf. Proc. in Sensor Networks, pp. 225–233 (2004)

    Google Scholar 

  • Kikuchi, S., Tominaga, D., Arita, M., Takahashi, K., Tomita, M.: Dynamic modeling of genetic networks using genetic algorithm and S-system. Bioinformatics 19(5), 643–650 (2003)

    Article  Google Scholar 

  • Koh, G., Teong, H.F.C., Clement, M.V., Hsu, D., Thiagarajan, P.S.: A decompositional approach to parameter estimation in pathway modeling: a case study of the Akt and MAPK pathways and their crosstalk. Bioinformatics 22(14), e271–e280 (2006)

    Google Scholar 

  • Kschischang, F.R., Frey, B.J., Loeliger, H.A.: Factor graphs and the sum-product algorithm. IEEE Trans. on Information Th. 47(2), 498–519 (2001)

    Google Scholar 

  • Mendes, P., Kell, D.B.: Non-linear optimization of biochemical pathways: applications to metabolic engineering and parameter estimation. Bioinformatics 14(10), 869–883 (1998)

    Google Scholar 

  • Moles, C.G., Mendes, P., Banga, J.R.: Parameter estimation in biochemical pathways: a comparison of global optimization methods. Genome Research 13, 2467–2474 (2003)

    Google Scholar 

  • Murphy, K.P., Weiss, Y., Jordan, M.I.: Loopy belief propagation for approximate inference: An empirical study. In: Proc. of the 15th Ann. Conf. on Uncertainty in AI, pp. 467–475 (1999)

    Google Scholar 

  • Pearl, J.: Probabilistic reasoning in intelligent systems: networks of plausible inference, 2nd edn. Morgan Kaufmann Publishers, Inc., San Francisco (1988)

    Google Scholar 

  • Weiss, Y., Freeman, W.T.: On the optimality of solutions of the max-product belief propagation algorithm in arbitrary graphs. IEEE Trans. on Information Th. 47(2), 736–744 (2001)

    Google Scholar 

  • Yeang, C.H., Jaakkola, T.: Physical network models and multi-source data integration. In: Proc. of the 7th Int. Conf. on Res. in Comp. Mol. Biol. pp. 312–321 (2003)

    Google Scholar 

  • Yedidia, J.S., Freeman, W.T., Weiss, Y.: Understanding belief propagation and its generalizations. In: Exploring Artificial Intelligence in the new Millenium, pp. 239–269 (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Raffaele Giancarlo Sridhar Hannenhalli

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Koh, G., Tucker-Kellogg, L., Hsu, D., Thiagarajan, P.S. (2007). Composing Globally Consistent Pathway Parameter Estimates Through Belief Propagation. In: Giancarlo, R., Hannenhalli, S. (eds) Algorithms in Bioinformatics. WABI 2007. Lecture Notes in Computer Science(), vol 4645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74126-8_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74126-8_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74125-1

  • Online ISBN: 978-3-540-74126-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics