Evolution Analysis of Leptospira Interrogans Serova Lai Based on Differential Equation and RANSAC

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 216)


In this paper, we make a novel analysis of duplicate genes of Leptospira interrogans serovar Lai, which is widely anthropozoonosis, based on differential equation and RANSAC algorithm. To reduce the impact, evolution Analysis for evolution process is particularly important. Through differential equation and RANSAC algorithm, we compare the rates of the nucleotide substitution at replacement and silent sites. The result shows that early in their history for Leptospira interrogans serovar Lai many gene duplicates experience a phase of relaxed purifying selection, subsequently selection constraint gradually increases and eventually tended to the stability.


Differential equation RANSAC Gene duplication Non synonymous substitution Synonymous substitution Leptospira interrogans serova lai 



This work is supported by the Science and Technology Foundation of the Education Department of Chongqing (KJ121404), Innovation team of Chongqing University of Science & Technology (1809013) and Research Foundation of Chongqing University of Science & Technology (CK2011Z15).


  1. 1.
    Bridges CB (1936) The bar ‘gene’ a duplication. Science 83:210–211CrossRefGoogle Scholar
  2. 2.
    Ohno S (1970) Evolution by gene duplication, vol 24. Springer, Berlin, pp 14–16Google Scholar
  3. 3.
    Levett PN (1983) Leptospirosis. Clin Microbiol Rev 2:296–326Google Scholar
  4. 4.
    Ren SX, Fu G, Jiang XG et al (2003) Unique physiological and pathogenic features of Leptospira interrogans revealed by whole-genome sequencing. Nature 422:888–893CrossRefGoogle Scholar
  5. 5.
    Zhang J, Rosenbreg HF, Masatoshi N (1998) Positive Darwinian selection after gene duplication in primate ribonuclease genes. Proc Natl Acad Sci 95:3708–3713CrossRefGoogle Scholar
  6. 6.
    Kimura M (1983) The neutral theory of molecular evolution, vol 5. Cambridge University Press, Cambridge, MA, pp 25–27CrossRefGoogle Scholar
  7. 7.
    Lynch M, Force A (2000) The probability of duplicate gene preservation by subfunction-alization. Genetics 154:459–473Google Scholar
  8. 8.
    Yokoyama S, Yokoyama R (1989) Molecular evolution of human visual pigment genes. Mol Biol Evol 6:186–197Google Scholar
  9. 9.
    Li WH (1983) Evolution of duplicate genes and pseudogenes. In: Nei M, Koehn RK (eds) Evolution of Genes and Proteins, Sinauer, Sunderland, pp 14–37 Google Scholar
  10. 10.
    Nei M, Kumar S (2000) Molecular evolution and phylogenetics, vol 83. Oxford University Press, New York, pp 25–27Google Scholar
  11. 11.
    Fischler MA, Bolles RC (1981) Random sample consensus: A paradigm for model fitting with application to image analysis and automated cartography. Commun ACM 24:381–395MathSciNetCrossRefGoogle Scholar
  12. 12.
    Fontanelli D, Ricciato L, Soatto S (2007) A fast RANSAC–based registration algorithm for accurate localization in unknown environments using LIDAR measurements. IEEE Conference on automation science and engineering scottsdale 84:597–602Google Scholar
  13. 13.
    Butty′an L, Schaffer P, Vajda I (2006) Laboratory of cryptography and systems security RANBAR: RANSAC based resilient aggregation in sensor networks, SASN’06:25–27Google Scholar
  14. 14.
    Fischler MA, Bolles RC (1981) SRI International random sample consensus: a paradigm for model fitting with apphcatlons to image analysis and automated cartography. Graph Image Process 24:381–395MathSciNetGoogle Scholar
  15. 15.
    Kimura M (1981) Estimation of evolutionary distances between homologous nucleotide sequences. Proc Natl Acad Sci 25:454–458CrossRefGoogle Scholar
  16. 16.
    Wang X, Wang C, Wang H (2006) Evolution analysis of Leptospira Interrogans Serova Lai. J Yunnan Univ 28:232–240Google Scholar
  17. 17.
    Lynch M, Conery JS (2000) The evolutionary fate and consequences of duplicate genes. Science 290:1151–1155CrossRefGoogle Scholar
  18. 18.
    Chain FJJ, Ilieva D, Evans BJ (2008) Duplicate gene evolution and expression in the wake of vertebrate allopolyploidization. BMC Evo Biol 8:1360–1378Google Scholar
  19. 19.
    Acar E, Solanki KN, Rais-Rohani M, Horstemeyer MF (2010) Stochastic uncertainty analysis of damage evolution computed through microstructure–property relations. Probab Eng Mech 25:198–205CrossRefGoogle Scholar
  20. 20.
    Liang S, Jeffrey DJ (2009) Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation. Commun Nonlinear Sci Numer Simul 14:4057–4064MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  1. 1.College of Mathematical and Physical SciencesChongqing University of Science and TechnologyChongqingChina

Personalised recommendations