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Updated: Jun 11, 2026

Quantitative and Temporal Control of Oxygen Microenvironment at the Single Islet Level
Published on: November 17, 2013
Stochasticity of flow through microcirculation as a regulator of oxygen delivery
1Transonic Systems Inc, Ithaca, NY, USA. victor.kislukhin@transonic.com
Objective:
Observations of microcirculation reveal that the blood flow is subject to interruptions and resumptions. Accepting that blood randomly stops and resumes, one can show that the randomness could be a powerful means to match oxygen delivery with oxygen demand.
Method:
The ability of the randomness to regulate oxygen delivery is based on two suppositions: (a) the probability for flow to stop does not depend on the time of uninterrupted flow, thus the number of interruptions of flow follows a Poisson distribution; (b) the probability to resume the flow does not depend on the time for flow being interrupted; meaning that time spent by erythrocytes at rest follows an exponential distribution. Thus the distribution of the time to pass an organ is a compound Poisson distribution. The Laplace transform of the given distribution gives the fraction of oxygen that passes the organ.
Result:
Oxygen delivery to the tissues directly depends on characteristics of the irregularity of the flow through microcirculation.
Conclusion:
By variation of vasomotion activity it is possible to change delivery of oxygen to a tissue by up to 8 times.
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