Data analysis and modeling of Pasteuria penetrans spore attachment

International Journal of Agriculture & Environmental Science

© 2020 by SSRG - IJAES Journal

Volume 7 Issue 5

Year of Publication : 2020

Authors : Ioannis Vagelas

10.14445/23942568/IJAES-V7I5P116

How to Cite?

Ioannis Vagelas, "Data analysis and modeling of Pasteuria penetrans spore attachment," SSRG International Journal of Agriculture & Environmental Science, vol. 7,  no. 5, pp. 108-113, 2020. Crossref, https://doi.org/10.14445/23942568/IJAES-V7I5P116

Abstract:

This paper discusses a process of developing data analysis and modeling of Pasteuria penetrans spore attachment in vitro (water and soil bioassay), based on the observation that the number of spores attaching to juveniles within a given time increased with increasing the time of exposure to spores. Based on that, P. penetran spore attachment in vitro was modeled using the negative binomial distribution, considering that P. penetrans spores are clumped. But the most important step in this research is not in running the Negative binomial distribution model, but further predicted the P. penetrans spore attachment and J2s invasion to plant roots, with a Markov process when J2s are encumbered with clumps of P. penetrans spores (e.g., 4-7 or ≥8 spores). Predicted data show that a) the rate of parasitism by P. penetrans differs significantly among time of exposure to P. penetrans spores and b) successful parasitism (depends on the attachment of 4-7 spores per juvenile), which is sufficient to initiate infection without reducing the ability of the nematode to invade roots and probably P. penetrans spores multiplies in the body of the female of the plant-parasitic nematodes.

Keywords:

Modelling, Markov chain, Biocontrol, Soilborne pathogens, Nematodes, Meloidogyne spp.

References:

[1] Bailey NTJ. 1975. “The Mathematical Theory of Infectious Diseases and Its Applications”. Charles Griffin, London.
[2] Barbou, AD, Kafetzaki, M., 1991. “Modelling the overdispersion of parasite loads”. Mathematical Biosciences, 107, 249-53.
[3] Binet FE. 1986. “Fitting the negative binomial distribution”. Biometrics, 42, 989-992.
[4] Bliss CI. 1953. “Fitting the Negative Binomial Distribution to Biological Data”. Biometrics, 9, 176-200.
[5] Channer AGDE R, Gowen SR. 1992. “Selection for increased host resistance and increased pathogen specificity in the Meloidogyne - Pasteuria penetrans interaction”. Fundamental and Applied Nematology, 15, 331-339.
[6] Choo KH, Tong JC, Zhang L. 2004. “Recent Applications of Hidden Markov Models in Computational Biology”. Genomics Proteomics Bioinformatics, 2, 84-86.
[7] Cox DR. 1983. “Some remarks on overdispersion”. Biometrika, 70, 269–274.
[8] Daley DJ, Gani J. 1999. “Epidemic Modelling: An Introduction”. Cambridge University Press, Cambridge.
[9] Darban DA, Pembroke B, Gowen SR. 2004. “The relationships of time and temperature to body weight and numbers of endospores in Pasteuria penetrans-infected Meloidogyne javanica females”. Nematology, 6, 33-36.
[10] Davies KG, Danks C. 1992. “Interspecific differences in the nematode surface coat between Meloidogyne incognita and M.  arenaria related to the adhesion of the bacterium Pasteuria penetrans”. Parasitology, 105, 475-480.
[11] Davies KG, Kerry BR., Flynn CA. 1988. “Observations on the pathogenicity of Pasteuria penetrans, a parasite of root-knot nematodes”. Annals of Applied Biology, 112, 491-501.
[12] Davies KG, Laired V, Kerry BR. 1991. “The motility development and infection of Meloidogyne incognita encumbered with spores of the obligate hyperparasite Pasteuria penetrans”. Revue de Nematologie, 14, 611-618.
[13] Gowen SR, Davies KG, Pembroke B. 2008. “The potential use of Pasteuria spp. in the management of plant-parasitic nematodes, in Integrated management and biocontrol of vegetable and grain crops nematodes, eds”. A. Ciancio and K.G. Mukerji, Dortrecht. The Netherlands: Springer, 197-210.
[14] Hatz B, Dickson DW. 1992. “Effect of temperature on attachment, development, and interactions of Pasteuria penetrans and Meloidogyne arenaria”. Journal of Nematology, 24, 512-521.
[15] Hewlett TE, Dickson DW. 1994. “Endospore attachment specificity of Pasteuria penetrans from a peanut field in Florida”. Journal of Nematology, 26, 103_104.
[16] Hooper DJ. 1986. “Extraction of nematodes from plant materials”. In J. F. Southey (Ed.), Laboratory methods for working with plant and soil nematodes (6th ed., pp. 51_58). London: Her Majesty’s Stationary Office.
[17] Imbriani JL, Mankau R. 1977. “Ultrastructure of the nematode pathogen Bacillus penetrans”. Journal of Invertebrate Pathology, 30, 337-347.
[18] Kot, M., 2001. “Elements of Mathematical Ecology”. Cambridge. Cambridge University Press.
[19] Leslie PH. 1945. “The use of matrices in certain population mathematics.” Biometrica, 33, 183-212.
[20] Leslie PH. 1948. “Some further notes on the use of matrices in population mathematics”. Biometrica, 35, 213-245.
[21] Mankau, R., 1975. Bacillus penetrans n. comb. “Causing a virulent disease of plant-parasitic nematodes.” Journal of Invertebrate Pathology, 26, 333-339.
[22] Mankau, R., 1980. “Biological control of Meloidogyne populations by Bacillus penetrans in West Africa”. Journal of Nematology, 12, 230.
[23] Mankau R, Imbriani JL. 1975. “The life-cycle of an endoparasite in some tylenchid nematodes.” Nematologica, 21, 89-94.
[24] Morel GJ, Nagaraj KJ. 1993. “A finite mixture distribution for modelling extra multinomial variation”. Biometrika, 80, 363–371.
[25] Nisbet RM, Gurney WSC. 1982. “Modelling Fluctuating Populations”. John Wiley & Sons, Chichester, and New York.
[26] Our Y. 1997. “Effect of spore sonication on attachment and host attachment range of Pasteuria penetrans to the root-knot nematode”. Applied Entomology and Zoology, 32, 101-107.
[27] Rao, MS, Gowen SR, Pembrok, B, Reddy PP. 1997. “Relationship of Pasteuria penetrans spore encumbrance on juveniles of Meloidogyne incognita and their infection in adults”. Nematologia Mediterranea, 25, 129-131.
[28] Ross GJS, Preece DA. 1985. “The negative binomial distribution”. The Statistician, 34, 323-336.
[29] Sayre RM, Starr MP. 1988. “Bacterial diseases and antagonism of nematode”. In G. O. Poinar & H. B. Jansson (Eds.), Diseases of nematodes (pp. 69_101). Boca Raton, FL: CRC Press.
[30] Sayre RM, Wergin WP. 1977. “Bacterial parasite of a plat nematode: morphology and ultrastructure.” Journal of Bacteriology, 129, 1091-1101.
[31] Southey JF. 1986. “Laboratory methods for work with plant and soil nematodes.” London: MAFF/ADAS, Her Majesty’s Stationary Office.
[32] Stirling GR. 1985. “Host specificity of Pasteuria penetrans within the genus Meloidogyne”. Nematologica, 31, 203-209.
[33] Stirling GR. 1991. “Biological control of plant-parasitic nematodes. Progress, Problems, and Prospects”. Wallingford: CAB International.
[34] Talavera M, Mizukubo T. 2003. “Influence of soil conditions, spore densities, and nematode age on Pasteuria penetrans attachment to Meloidogyne incognita”. Spanish Journal of Agriculture Research, 1, 57-63.
[35] Taylor HM, Karlin S. 1998. “An Introduction to Stochastic Modeling”. 3rd ed. Academic Press, New York.
[36] Thorne, G., 1940. Dubosqia penetrans n. sp. (Sporozoa, Microsporidia, Nosematidae), a parasite of the nematode Pratylenchus pratensis (De Man) Filipjev. Proceeding of the Helminthological Society of Washington, 7, 51-53.
[37] Vagelas IK, Pembroke B, Gowen SR. 2011. “Techniques for image analysis of the movement of juveniles of root-knot nematodes encumbered with Pasteuria penetrans spores”. Biocontrol Science and Technology, 21, 239_250.
[38] Vagelas IK, Dennett MD, Pembroke B, Gowen SR. 2012. “Adhering Pasteuria penetrans Endospores Affect Movements of Root-Knot Nematode Juveniles”. Phytopathologia Mediterranea, 51, 618-624.
[39] Vagelas IK, Dennett MD, Ipsilandis P, Pembroke B, Gowen SR. 2013a. “Understanding the movement of root-knot nematodes encumbered with or without Pasteuria penetrans”. Biocontrol Science and Technology, 23:1, 92-100.
[40] Vagelas I, Dennett MD, Pembroke B, Gowen SR. 2013b. “Fitting the negative binomial distribution to Pasteuria penetrans spore attachment on root-knot nematodes and predicting the probability of spore attachments using a Markov chain model”. Biocontrol Science and Technology, 23:11, 1296-1306.
[41] Verdejo-Lucas, S., 1992. “Seasonal population fluctuation of Meloidogyne spp. and the Pasteuria penetrans group in Kiwi orchards’”, Plant Disease, 76, 1275-1279.
[42] Whitehead AG, Hemming JR. 1965. “A comparison of some quantitative methods of extracting small vermiform nematodes from soil.” Annals of Applied Biology, 55, 25_38.