Skip to main content
Log in

Ab-Ag affinity thresholds in inventory optimization

  • Published:
Acta Biotheoretica Aims and scope Submit manuscript

Abstract

The role of antibody-antigen affinity and concentrations in adaptive antibody response is analyzed in a framework of probabilistic inventory model for antibody production. Our results indicate significant differences in optimal behaviours of low, moderate and high affinity groups and offer important implications. Interestingly, the involved approach is also of relevance in other production systems. Directions for its applications in industries and information sciences are also presented.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Berek, C. and C. Milstein (1988). The dynamic nature of the antibody repertoire. Immunological Reviews 150: 5–26.

    Google Scholar 

  • Bhimarao, C. and R. R. Joshi (1989). On antigen-antibody binding distribution. Journal of Theoretical Biology 141: 285–302.

    Google Scholar 

  • Bhimarao, C. and R. R. Joshi (1990). On stochastic inventory analysis of antibody production system. International Journal of Computers and Mathematics with Applications 20(8): 37–49.

    Google Scholar 

  • Farmer, J. D. and N. H. Packard (1986). The immune system, adaptation, and machine learning. Physica D. 22: 187–204.

    Google Scholar 

  • Jerne, N. K. (1985). The generative grammar of the immune system. Science 229, 4718: 1057–1059.

    Google Scholar 

  • Joshi, R. R. (1991). A probabilistic approach to antigen-antibody recognition. Mathematical and Computer Modelling 15(12): 91–102.

    Google Scholar 

  • Joshi, R. R. (1992). Estimation of probability and cost functions for antibody production system. Mathematical and Computer Modelling 16(10): 113–120.

    Google Scholar 

  • Joshi, R. R. (1994a). A new approach to stochastic programming problems: Discrete model. European J. of O. R. In press.

  • Joshi, R. R. (1994b). A new approach to stochastic programming problems: Continuous model. European J. of O. R. Submitted.

  • Macken, C. A. and A. S. Perelson (1985). Branching processes applied to cell-surface aggregation phenomena. Lecture Notes in Biomathematics 58: 34–40.

    Google Scholar 

  • Sibbald, P. R. and M. J. White (1987). How probable are antibody cross-reactions? Journal of Theoretical Biology 127: 163–169.

    Google Scholar 

  • Stewart, J. and F. J. Varela (1989). Exploring the meaning of connectivity in immune network. Immunological Reviews 110: 37–61.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported by a project-grant from the Indian National Science Academy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Joshi, R.R. Ab-Ag affinity thresholds in inventory optimization. Acta Biotheor 42, 295–313 (1994). https://doi.org/10.1007/BF00707395

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00707395

Keywords

Navigation