Competitive interaction between two different spherical sinks

Journal of Chemical Physics

Volumn 121, Issue 16, 2004, Pages 7966-7972

  McDonald, Nyrée ^a   Strieder, William ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BISPHERICAL EXPANSION; COMPETITIVE INTERACTIONS; LAPLACE EQUATIONS; SURFACE MEDIUM INTERFACES;

BIOFILMS; BOUNDARY CONDITIONS; CELLS; DIFFUSION; INTERFACES (MATERIALS); LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA;

REACTION KINETICS;

ARTICLE; CHEMISTRY; DIFFUSION; KINETICS; THEORETICAL MODEL;

CHEMISTRY; DIFFUSION; KINETICS; MODELS, THEORETICAL;

EID: 8344258361     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1797051     Document Type: Article

References (22)

1. P. M. Voorhees and R. J. Schaefer, Acta Metall. 35, 327 (1987).
2. E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Pergamon, Oxford, 1981).
3. S. D. Traytak, J. Chem. Phys. 105, 10860 (1996).
4. J. W. T. Wimpenny, S. L. Kinnimet, and M. A. Scourfield, in Microbial Biofilms: Formation and Control, edited by S. P. Denyer, S. P. German, and M. Sussman (Blackwell Scientific, Oxford, 1993).
5. W. G. Characklis and K. G. Marshall, Biofilms (Wiley, New York, 1990).
6. A. Converti, C. Sommariva, and M. Del Borghi, Chem. Eng. Sci. 49, 937 (1994).
7. D. A. Lauffenburger and J. J. Linderman, Receptors: Models for Binding, Trafficking and Signaling (Oxford University Press, Oxford, 1993).
8. J. E. Bailey and D. F. Ollis, Biochemical Engineering Fundamentals (McGraw-Hill, New York, 1986).
9. W. Strieder and R. Aris, Variational Methods Applied to Problems of Diffusion and Reaction (Springer, Berlin, 1973).
10. J. Rubinstein and S. Torquato, J. Chem. Phys. 88, 6372 (1988).
11. R. Reck and S. Prager, J. Chem. Phys. 42, 3027 (1965).
12. W. Strieder, J. Chem. Phys. 112, 2967 (2000).
13. S. A. Rice, Diffusion-Limited Reactions (Elsevier, Amsterdam, 1985).
14. K. Mattern and B. U. Felderhof, Physica A 143, 1 (1987).
15. D. K. Ross, Bull. Aust. Math. Soc. 2, 237 (1970).
16. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. II.
17. R. Samson and J. M. Deutch, J. Chem. Phys. 67, 847 (1977).
18. G. Zoia and W. Strieder, J. Chem. Phys. 108, 3114 (1998).
19. H. W. Tsao, J. Chem. Phys. 114, 10247 (2001).
20. W. Strieder and S. Saddawi, J. Chem. Phys. 113, 10818 (2002).
21. N. McDonald and W. Strieder, J. Chem. Phys. 118, 4598 (2003).
22. E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics (Cambridge University Press, Cambridge, 1931).