Dioxin concentrations in Finns

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Question

What are the dioxin concentrations in the Finnish population? Indices used: congener, age, sex, fish consumtion...

Rationale

The dioxin concentration is a function of the following inputs:

• Actual measured concentrations in two studies: KTL Sarcoma study and WHO mother's milk study. The data are indexed by congener c, individual i, year y, sex s and weight w. Only c and i are marginals in the data.
• Fish intake and other food intake from questionnaires. The data come from KTL sarcoma study. Indices i, food type f (includes fish species). Both i and f are marginals.
• Dioxin concentrations in fish from the study EU-kalat 1&2. Indices f, pooled fish sample p. Both f and p are marginals.
• Dioxin concentrations in food from the food basket study. Index f, which is marginal.

This model is based on one-compartment kinetics with a dioxin intake trend (r %/a decrease). For detail, see Human PBPK model for dioxin

The total amount of dioxin M_n from all doses during the follow-up time period, with a possible breast feeding period during the observed time span, is:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M_n = \frac{d_n}{r-k} (e^{(r-k) t}-1) (1 - (1-e^{-k_B t_B})(e^{-k t_S})),}

The amount of dioxin in the body now (M_n) from doses d_i at all timepoints i is calculated as follows, if the dose during time decreases at a constant rate r; dose at the current timepoint is d_n. k is the elimination constant, t is the length of follow-up time. k_B is the elimination constant caused by breast feeding, t_B is the duration of breast feeding, and t_S is the time since the breast feeding.

d_n is estimated based on information about dioxin intake via food:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d_{n,i,c} = \Sigma_f I_{f,i} c_{f,c} + \Sigma_e I_{e,i} c_{e,c},}

where I is intake (g/d), c is concentration of dioxin, and indices n means timepoint now, i means the studied human individuals, c means dioxin congener, f means fish species, and e means other food items eaten.

See also

• Dioxin