Advertisement

A Two-Color Interacting Random Balls Model for Co-localization Analysis of Proteins

  • F. LavancierEmail author
  • C. Kervrann
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9389)

Abstract

A model of two-type (or two-color) interacting random balls is introduced. Each colored random set is a union of random balls and the interaction relies on the volume of the intersection between the two random sets. This model is motivated by the detection and quantification of co-localization between two proteins. Simulation and inference are discussed. Since all individual balls cannot been identified, e.g. a ball may contain another one, standard methods of inference as likelihood or pseudolikelihood are not available and we apply the Takacs-Fiksel method with a specific choice of test functions.

Keywords

Reference Model Point Process Yellow Fluorescence Protein Poisson Point Process Inference Procedure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Basset, A., Boulanger, J., Bouthemy, P., Kervrann, C., Salamero, J.: SLT-LoG: a vesicle segmentation method with automatic scale selection and local thresholding applied to tirf microscopy. In: 2014 IEEE 11th International Symposium on Biomedical Imaging (ISBI), Beijing, China, pp. 533–536 (2014)Google Scholar
  2. 2.
    Bolte, S., Cordelieres, F.: A guided tour into subcellular colocalization analysis in light microscopy. J. Microsc. 224(3), 213–232 (2006)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Chiu, S.N., Stoyan, D., Kendall, W.S., Mecke, J.: Stochastic Geometry and Its Applications, 3rd edn. Wiley, Chichester (2013)CrossRefzbMATHGoogle Scholar
  4. 4.
    Coeurjolly, J.F., Dereudre, D., Drouilhet, R., Lavancier, F.: Takacs Fiksel method for stationary marked Gibbs point processes. Scand. J. Stat. 39(3), 416–443 (2012)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Dereudre, D., Lavancier, F., Staňková Helisová, K.: Estimation of the intensity parameter of the germ-grain Quermass-interaction model when the number of germs is not observed. Scand. J. Stat. 41(3), 809–929 (2014)MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Georgii, H.: Canonical and grand canonical Gibbs states for continuum systems. Commun. Math. Phy. 48(1), 31–51 (1976)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Helmuth, J.A., Paul, G., Sbalzarini, I.F.: Beyond co-localization: inferring spatial interactions between sub-cellular structures from microscopy images. BMC Bioinform. 11(1), 372 (2010)CrossRefGoogle Scholar
  8. 8.
    Lagache, T., Lang, G., Sauvonnet, N., Olivo-Marin, J.C.: Analysis of the spatial organization of molecules with robust statistics. PLoS One 8(12), e80914 (2013)CrossRefGoogle Scholar
  9. 9.
    Lagache, T., Sauvonnet, N., Danglot, L., Olivo-Marin, J.C.: Statistical analysis of molecule colocalization in bioimaging. Cytom. A 87(6), 568–579 (2015)CrossRefGoogle Scholar
  10. 10.
    Møller, J., Helisová, K.: Power diagrams and interaction processes for union of discs. Adv. Appli. Prob. 40(2), 321–347 (2008)CrossRefzbMATHGoogle Scholar
  11. 11.
    Møller, J., Waagepetersen, R.: Statistical Inference and Simulation for Spatial Point Processes. Chapman and Hall/CRC, Boca Raton (2003)CrossRefzbMATHGoogle Scholar
  12. 12.
    Nguyen, X., Zessin, H.: Integral and differential characterizations Gibbs processes. Math. Nachr. 88(1), 105–115 (1979)MathSciNetCrossRefzbMATHGoogle Scholar
  13. 13.
    Pecot, T., Bouthemy, P., Boulanger, J., Chessel, A., Bardin, S., Salamero, J., Kervrann, C.: Background fluorescence estimation and vesicle segmentation in live cell imaging with conditional random fields. IEEE Trans. Image Proc. 24(2), 667–680 (2015)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Inria, Centre Rennes Bretagne AtlantiqueRennesFrance
  2. 2.University of NantesNantesFrance

Personalised recommendations