 BackResearch Article ScienceAsia 24 (1998): 205-214 |doi: 10.2306/scienceasia1513-1874.1998.24.205 ANALYSIS OF FAST KINETICS MODELS FOR THE DISTRIBUTION OF POLYCHLORINATED DIBENZO-P-DIOXINS AND DIBENZOFURANS IN HUMANSYONGWIMON LENBURY, CHONTITA RATANAKUL, SIRICHAN PAHUPONGSAP AND SOMKID AMORNSAMARNKULABSTRACT: Models of the disposition of polychlorinated dibenzo-p-dioxins and dibenzofurans, commonly known as PCDXs, in the human tissues are considered and partially analyzed. Four cases are investigated : a single initial exposure to PCDXs with constant growth response function of the binding proteins, a linear growth response function, a Holling type response function, and the case of a periodic exposure to the dioxins. In the case of a single initial exposure, we are able to determine some important local dynamics. In the case of a periodic exposure to the dioxins, we are able to show that a small periodic exposure to the dioxins induces a periodic behavior in the concentration dynamics. Department of Mathematics, faculty of Science, Mahidol University, Bangkok, Thailand. Received Jan 25, 1998
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