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...

Answer

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 Mn from all doses during the follow-up time period, with a possible breast feeding period during the observed time span, is:

Failed to parse (Missing <code>texvc</code> executable. Please see math/README to configure.): 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 (Mn) from doses di 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 dn. k is the elimination constant, t is the length of follow-up time. kB is the elimination constant caused by breast feeding, tB is the duration of breast feeding, and tS is the time since the breast feeding.

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

Failed to parse (Missing <code>texvc</code> executable. Please see math/README to configure.): 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.

Calculations

See also

Keywords

References


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