By Minoru Kanehisa, Charles DeLisi (auth.), Giorgio Koch, Michiel Hazewinkel (eds.)
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Extra resources for Mathematics of Biology
Why do our bodies seem resistant to some diseases and yet succumb rapidly to others? The answers to these questions derive from clinical and experimental investigations in immunology. Immunology is a rapidly growing field of medicine which just twenty years ago was little more than the study of phenomena, but now is striving to analyze and criticize new experiments using objective quantitative tools. Not surprisingly, the explosion of data has overwhelmed attempts to keep up with analysis, so there are many areas of immunology which hold the potential for stimulating and fruitful examination by mathematical modelers.
15. Noyes, R. : 'Effects of Diffusion Rates on Chemical Kinetics', in Progress in Reaction Kinetics, Vol. 1, G. ), Pergamon Press, London, 1961. 16. : 'Diffusion-Controlled Reactions in Two-Dimensional Fluids: Discussion of Measurements of Lateral Diffusion of Lipids in Biological Membranes', Chern. Phys. Lett. 28 ( 1974 ), 280-284. 17. Carslaw, H. S. and Jaeger, J. : Conduction of Heat in Solids, Clarendon Press, Oxford, 1959. 18. Owen, C. : Two Dimensional Diffusion Theory: Cylindrical Diffusion Model Applied to Fluorescence Quenching', J.
Zagury et al. [ 14] and Perelson et al. [ 3] measured the kinetics of the overall lytic event in multicellular conjugates. In addition, Zagury et al. investigated the process of lethal hitting alone. They incubated conjugates in conditions which allowed the lytic process to commence. Then, at various times later, they changed conditions so as to prevent any further lethal hitting while still allowing any previously hit cells to lyse normally. The proportion of conjugates in which at least k out of n TC eventually lysed was recorded.