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- W212888942 abstract "Publisher Summary This chapter presents a study of the probabilistic modeling of oxygen transport required for neuronal survival in brain tissue. The aim of the study has been to formulate and solve models incorporating distributions of capillary and neuronal activity in a more geometrically complex environment than currently employed. There are two significant advantages to this approach: (1) the use of probabilistic distributions permits a more general solution than using a specific geometric case and (2) the use of a three-dimensional system permits a much more sophisticated simulation than those employing the Krogh tissue cylinder. Advancement in this field has prompted a continuing evaluation of modeling techniques. Through the years, improvements were made upon this original effort, the tempo of activity greatly increasing with availability of high-speed electronic computers. The chapter discusses the necessity for simulating a realistic geometry that is acutely felt, particularly by a life scientist who is intimately aware of the myriad of forms the capillary network can take. To deal with this challenge, several probabilistic simulation techniques were investigated. Finally, an approach was developed to solve the following greens function in a more direct manner for each grid point throughout a three-dimensional system." @default.
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- W212888942 date "1981-01-01" @default.
- W212888942 modified "2023-10-16" @default.
- W212888942 title "PROBABILISTIC MODELING OF OXYGEN TRANSPORT IN BRAIN TISSUE" @default.
- W212888942 cites W1994652225 @default.
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- W212888942 doi "https://doi.org/10.1016/b978-0-08-027346-4.50023-1" @default.
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