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Sökning: WFRF:(Teschl Gerald)

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1.
  • King, Julian, et al. (författare)
  • Physiological modeling of exhaled compounds
  • 2020. - 2
  • Ingår i: Breathborne biomarkers and the human volatilome. - : Elsevier. - 9780128199671 - 9780128223970 ; , s. 43-62
  • Bokkapitel (refereegranskat)abstract
    • Blood flow and ventilatory flow strongly influence the concentrations of volatile organic compounds (VOCs) in exhaled breath. The physicochemical properties of a compound (e.g., water solubility) additionally determine if the concentration of the compound in breath reflects the alveolar concentration, the concentration in the upper airways, or a mixture of both. Mathematical modeling based on mass balance equations helps to understand how measured breath concentrations are related to their corresponding blood concentrations and physiological parameters, such as metabolic rates and endogenous production rates. In addition, the influence of inhaled compounds on their exhaled concentrations can be quantified and appropriate correction formulas can be derived. Isoprene and acetone, two endogenous VOCs with very different water solubility, have been modeled to explain the essential features of their behavior in breath. This chapter introduces the theory of physiological modeling of exhaled VOCs, with examples of isoprene and acetone.
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2.
  • Luger, Annemarie, et al. (författare)
  • Asymptotics of the Weyl function for Schrodinger operators with measure-valued potentials
  • 2016
  • Ingår i: Monatshefte für Mathematik (Print). - : Springer Science and Business Media LLC. - 0026-9255 .- 1436-5081. ; 179:4, s. 603-613
  • Tidskriftsartikel (refereegranskat)abstract
    • We derive an asymptotic expansion for the Weyl function of a one-dimensional Schrodinger operator which generalizes the classical formula by Atkinson. Moreover, we show that the asymptotic formula can also be interpreted in the sense of distributions.
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