Oxygen Transport to Tissue IX pp 135-140 | Cite as

# Oxygen Boundary Crossing Probabilities

## 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## Preview

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