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