Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-27T20:28:05.686Z Has data issue: false hasContentIssue false
  • English
  • Français

On the solution of differential equations arising in some attachment models of virology

Published online by Cambridge University Press:  14 July 2016

Byron J. T. Morgan
Byron J. T. Morgan*
Affiliation:
University of Cambridge
Get access Rights & Permissions [Opens in a new window]

Extract

(1.1) In this paper, acquaintance will be assumed with the basic mechanics of phage/bacterium, antibody/virus interactions; for background reading see, for example, Adams (1959), Bouanchaud (1970), Durham and King (1969) and Fraser (1967).

Type
Research Papers
Information
Journal of Applied Probability , Volume 8 , Issue 2 , June 1971 , pp. 215 - 221
Copyright
Copyright © Applied Probability Trust 1971 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Adams, M. H. (1959) Bacteriophage. Interscience Publishers Inc., New York.Google Scholar
[2] Bailey, N. T. J. (1964) The Elements of Stochastic Processes with Applications to the Natural Sciences. Wiley and Son, New York.Google Scholar
[3] Bouanchaud, D. (1970) Le virus. Paris Match 1093.Google Scholar
[4] Chang, M. L. and Chang, T. S. (1969) Direct solution of Markovian phage attachment to bacteria in suspension. Math. Bioscience 5, 9–18.Google Scholar
[5] Chang, M. L., Chang, T. S. and Conolly, B. W. (1969) A note on the kinetic phage attachment to bacteria in suspension with lysis. Math. Bioscience 4, 403–410.Google Scholar
[6] Daniels, H. E. (1960) Approximate solutions of Green's type for univariate stochastic processes. J. R. Statist. Soc. B 22, 376–401.Google Scholar
[7] Durham, A. and King, J. (1969) Profile of the phage men. New Scientist 44, 194–196.Google Scholar
[8] Feller, W. (1951) Diffusion processes in genetics. Proc. Second Berkeley Symp. on Math. Statist. and Prob. 227–246.Google Scholar
[9] Fraser, D. (1967) Viruses and Molecular Biology. Macmillan, New York.Google Scholar
[10] Gani, J. (1965a) Stochastic phage attachment to bacteria. Biometrics 21, 134–139.Google Scholar
[11] Gani, J. (1965b) Stochastic models for bacteriophage. J. Appl. Prob. 2, 225–268.Google Scholar
[12] Gani, J. (1967a) Models for antibody attachment to virus and bacteriophage. Proc. Fifth Berkeley Symp. on Math. Statist. and Prob. 4, 537–547.Google Scholar
[13] Gani, J. (1967b) A problem of virus populations: attachment and detachment of antibodies. Math. Bioscience 1, 545–554.Google Scholar
[14] Gani, J. and Srivastava, R. C. (1968) A stochastic model for the attachment and detachment of antibodies to virus. Math. Bioscience 3, 307–322.Google Scholar
[15] Morgan, B. J. T. (1969) Unpublished notes.Google Scholar
[16] Mcquarrie, D. A. (1967) Stochastic approach to chemical kinetics J. Appl. Prob. 4, 413–478.Google Scholar
[17] Yassky, D. (1962) A model for the kinetics of phage attachment to bacteria in suspension. Biometrics 18, 185–191.Google Scholar
[18] Whittaker, E. T. and Watson, G. N. (1920) A Course of Modern Analysis. Cambridge University Press.Google Scholar
[19] Whittle, P. (1957) On the use of the Normal approximation in the treatment of stochastic processes. J. R. Statist. Soc. B 19, 268–281.Google Scholar
[20] Whittle, P. (1965) Statistical processes of aggregation and polymerisation. Proc. Camb. Phil. Soc. 61, 475–495.Google Scholar