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.
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© 1987 Plenum Press, New York
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Busch, N.A., Silver, I.A. (1987). Oxygen Boundary Crossing Probabilities. In: Silver, I.A., Silver, A. (eds) Oxygen Transport to Tissue IX. Advances in Experimental Medicine and Biology, vol 215. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7433-6_16
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DOI: https://doi.org/10.1007/978-1-4684-7433-6_16
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