Tuyển tập các báo cáo nghiên cứu về y học được đăng trên tạp chí y học quốc tế cung cấp cho các bạn kiến thức về ngành y đề tài: Stochasticity of flow through microcirculation as a regulator of oxygen delivery. | Kislukhin Theoretical Biology and Medical Modelling 2010 7 29 http content 7 1 29 THEORETICAL BIOLOGY AND MEDICAL MODELLING RESEARCH Open Access Stochasticity of flow through microcirculation as a regulator of oxygen delivery Viktor V Kislukhin Correspondence victor. kislukhin@ Transonic Systems Inc Ithaca NY USA 2 BioMed Central Abstract 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. Introduction The irregular pattern of blood flow through the microcirculation has been described for all organs and tissues of the body 1 . Estimations of the irregularity of flow by the spectral analysis of a Laser-Doppler signal established that low level of fluctuations in flow is a sign of the pathology 2 particularly of the low level of oxygen consumption 3 . We hypothesized that the consideration of irregularities as a stochastic process reveals the ability of randomness be a .
