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Oxygen Boundary Crossing Probabilities

  • N. A. Busch
  • I. A. Silver
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 215)

Summary

The probability that an oxygen particle will reach a time dependent boundary is required in oxygen transport studies involving solution methods based on probability considerations. A Volterra integral equation is presented, the solution of which gives directly the boundary crossing probability density function. The boundary crossing probability is the probability that the oxygen particle will reach a boundary within a specified time interval. When the motion of the oxygen particle may be described as strongly Markovian, then the Volterra integral equation can be rewritten as a generalized Abel equation, the solution of which has been widely studied.

Keywords

Probability Density Function Oxygen Transport Volterra Integral Equation Monte Carlo Simulation Study Current Time Interval 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • N. A. Busch
    • 1
  • I. A. Silver
    • 1
  1. 1.Department of PathologyUniversity of BristolBristolUK

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