EXPLANATION OF THE REACTION OF MONOCLONAL ANTIBODIES WITH CANDIDA ALBICANS CELL SURFACE IN TERMS OF COMPOUND POISSON PROCESS

Mirosław R. Dudek () and Józef Mleczko ()
Additional contact information
Mirosław R. Dudek: Institute of Physics, Zielona Góra University, 65-069 Zielona Góra, Poland
Józef Mleczko: Institute of Genetics and Microbiology, University of Wrocław, ul. Przybyszewskiego 63/77, 54-148 Wrocław, Poland

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 05, 637-648

Abstract: Surprisingly, still very little is known about the mathematical modeling of peaks in the binding affinities distribution function. In general, it is believed that the peaks represent antibodies directed towards single epitopes. In this paper, we refer to fluorescence flow cytometry experiments and show that even monoclonal antibodies can display multi-modal histograms of affinity distribution. This result take place when some obstacles appear in the paratope–epitope reaction such that the process of reaching the specific epitope ceases to be a point Poisson process. A typical example is the large area of cell surface, which could be unreachable by antibodies leading to the heterogeneity of the cell surface repletion. In this case the affinity of cells to bind the antibodies should be described by a more complex process than the pure-Poisson point process. We suggested to use a doubly stochastic Poisson process, where the points are replaced by a binomial point process resulting in the Neyman distribution. The distribution can have a strongly multinomial character, and with the number of modes depending on the concentration of antibodies and epitopes. All this means that there is a possibility to go beyond the simplified theory, one response towards one epitope. As a consequence, our description provides perspectives for describing antigen–antibody reactions, both qualitatively and quantitavely, even in the case when some peaks result from more than one binding mechanism.

Keywords: Candida albicans; monoclonal antibodies; epitopes; cell surface; compound Poisson process; Neyman distribution; 82.39.Rt; 82.20.Uv; 87.57.Ra; 02.50.Fz; 07.05.Kf (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183104006108
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:15:y:2004:i:05:n:s0129183104006108

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183104006108

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().