Oxygen boundary crossing probabilities.

N A Busch; I A Silver

doi:10.1007/978-1-4684-7433-6_16

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Oxygen boundary crossing probabilities.

N A Busch·I A Silver

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Abstract

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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Biological Transport, Active Models, Biological Monte Carlo Method Oxygen Probability Journal Article

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N A Busch, I A Silver. 1987. Oxygen boundary crossing probabilities.. https://doi.org/10.1007/978-1-4684-7433-6_16

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