Oxygen Boundary Crossing Probabilities

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


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.


Probability Density Function Oxygen Transport Volterra Integral Equation Monte Carlo Simulation Study Current Time Interval 
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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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