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The Possibility-Probability Relationship for Bloodstream Concentrations of Physiologically Active Substances

Authors: Arkady Bolotin


If a possibility distribution and a probability distribution are describing values x of one and the same system or process x(t), can they relate to each other? Though in general the possibility and probability distributions might be not connected at all, we can assume that in some particular cases there is an association linked them. In the presented paper, we consider distributions of bloodstream concentrations of physiologically active substances and propose that the probability to observe a concentration x of a substance X can be produced from the possibility of the event X = x . The proposed assumptions and resulted theoretical distributions are tested against the data obtained from various panel studies of the bloodstream concentrations of the different physiologically active substances in patients and healthy adults as well.

Keywords: Possibility distributions, possibility-probability relationship

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[1] Akay, M., Cohen, M., Hudson, D. Fuzzy sets in life sciences. Fuzzy Sets and Systems, 90, 1997, pp. 219-224.
[2] Bilenko N, Yehiel M, Inbar Y, Gazala E. The association between anemia in infants, and maternal knowledge and adherence to iron supplementation in southern Israel. The Israel Medical Association journal : IMAJ, 2007, 9(7), pp. 521-524.
[3] Bilenko, N., Shahar, D.; Shai, I.; Weitzman, S.; Fraser, D. Prevalence and characteristics of myocardial infarction, dia-betes and hypertension in the adult Jewish population: re-sults from the Negev Nutritional Study. Harefuah, 142(1), 2003, pp. 17-21.
[4] Bolotin, A. The Possibility Distribution for the Controlled Bloodstream Concentrations of Any Physiologically Active Substance. PWASET Vol. 23, 2007, ISSN 1307-6884, pp. 61-66.
[5] Dubois, D. and Prade, H. Fuzzy sets in approximate reason-ing, Part 1: Inference with possibility distributions. Fuzzy Sets and Systems, Vol. 40, 1991, pp. 143-202.
[6] Fraser D, Bilenko N, Vardy H, Abu-Saad K, Shai I, Abu-Shareb H, Shahar DR. Differences in food intake and dispar-ity in obesity rates between adult Jews and Bedouins in southern Israel. Ethnicity & disease, 2008, 18(1), pp. 13-18.
[7] Mathews, C. K. and Holde, K. E. Integration and control of metabolic processes. In: D. Bowen. Biochemistry. s.l. : Ben-jamin/Cummings Publishing Group, 1990, pp. 790-792.
[8] Medical Encyclopedia. Medline Plus.
[Online] A service of the U.S. National Labrary of Medicine and the National In-stitutes of Health, Date last updated: 26 February 2009.
[Cited: December 11, 2009.]
[9] Nguyen, H.T. Fuzzy sets and probability. Fuzzy Sets and Systems, 90, 1997, pp. 129-132.
[10] Rouvray, D. H. The treatment of uncertainty in the sciences. Endeavour, Vol. 21 (4), 1997, pp.154-158.
[11] Spott, M. A theory of possibility distributions. Fuzzy Sets and Systems, Vol. 102, 1999, pp. 135-155.
[12] Zadeh, L. A. Toward a perception-based theory of probabil-istic reasoning. Journal of Statistical Planning and Inference, 105, 2002, pp. 233-264.