Theory of antigen-antibody induced particulate aggregation—I. General assumptions and basic theory
| Autor: | Hiram E. Hart, Ki-Chuen Chak |
|---|---|
| Rok vydání: | 1980 |
| Předmět: |
Pharmacology
biology General Mathematics General Neuroscience Dissociation rate Dimer Immunology Thermodynamics Model system Particulates General Biochemistry Genetics and Molecular Biology Dissociation (chemistry) chemistry.chemical_compound Monomer Computational Theory and Mathematics chemistry Antigen biology.protein Calculus Antibody General Agricultural and Biological Sciences General Environmental Science Mathematics |
| Zdroj: | Bulletin of Mathematical Biology. 42:17-36 |
| ISSN: | 0092-8240 |
| DOI: | 10.1016/s0092-8240(80)80075-9 |
| Popis: | A theory of antigen-antibody induced particulate aggregation is developed by investigating the stability of model systems of particles. Conditions for the formation of large aggregates are derived by imposing the requirement that at equilibrium a statistically significant number of redundant bonds would occur in a reduced monomer-dimer model system. A relationship is obtained which predicts the fractional agglutination in the reduced dimer system as a function of the antigen, antibody and particulate concentrations: g 2 f c 0 ( 1 − g ) 2 = s 1 r + s 1 s 2 2 ! r 2 + … + s 1 s 2 … s j j ! r j , where c0 is the initial concentration of monomer, f is a proximity factor, g is the fractional agglutination, si is the average rate of formation of the ith bond from an (i−1)th bound dimer, and r is the average rate of dissociation of a single antibody-antigen bond. |
| Databáze: | OpenAIRE |
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