Oxygen boundary crossing probabilities.
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.
Busch
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Department of Pathology, University of Bristol, U.K.
Silver
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IA
D001693:Biological Transport, Active; D008954:Models, Biological; D009010:Monte Carlo Method; D010100:Oxygen / Q000378:metabolism*; D011336:Probability
D010100:Oxygen