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## Risk Assessment of Radon in Drinking Water (1999) Commission on Life Sciences (CLS)

### Citation Manager

. "B A Model for Diffusion of Radon Through the Stomach Wall." Risk Assessment of Radon in Drinking Water. Washington, DC: The National Academies Press, 1999.

 Page 244

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Figure B.1

Concentration of radon, C/C0, vs. radius, r, within a sphere of water with radius rs = 3.6 cm. The interior of the sphere is surrounded by a spherical shell of water with a thickness 0.1 cm and a radon concentration C(r) = 0 at t = 0. The diffusion coefficient for radon in water is D = 1 x 10-5 cm2 s-1.

to be well mixed, but the concentration is decreasing exponentially with a half-time of 20 min. For simplicity, the volume of the lumen remains constant such that any material leaving the stomach is replaced with water that dilutes the radon.

The basic differential equations are unchanged. However, the interior surface of the stomach wall is driven by the function h(t) that is controlled by the concentration in the lumen. A solution can be obtained with Duhamel's theorem where the concentration in the wall is the convolution of the time derivative of a solution after a unit step function at t = 0 (Carslaw and Jaeger 1959).

The dimensions corresponding to the boundary conditions following an intake of 250 mL of water are as follows (see fig. B.2):

 Page 244
 Front Matter (R1-R14) Public Summary (1-7) Executive Summary (8-22) 1 Introduction (23-31) 2 Baseline Information on Indoor Radon and Radon in Water in the United States (32-49) 3 Transfer of Radon from Water to Indoor Air (50-58) 4 Dosimetry of Ingested Radon and its Associated Risk (59-81) 5 Dosimetry of Inhaled Radon and its Associated Risks (82-104) 6 Molecular and Cellular Mechanisms of Radon Induced Carcinogenesis (105-123) 7 Defining Key Variabilities and Uncertainties (124-140) 8 Mitigation (141-179) 9 Multimedia Approach to Risk Reduction (180-197) 10 Research Recommendations (198-199) References (200-222) Glossary (223-230) A Behavior of Radon and Its Decay Products in the Body (231-240) B A Model for Diffusion of Radon Through the Stomach Wall (241-248) C Water-Mitigation Techniques (249-253) D Risks Associated with Disinfection By-products Formed by Water Chlorination Related to Trihalomethanes (THMs) (254-256) E Gamma Radiation Dose from Granular-Activated Carbon (GAC) Water Treatment Units (257-259) F EPA Approach to Analyzing Uncertainty and Variability (260-268) Index (269-279)