Numerical Simulation Of Oxygen Transport In Cerebral Tissue

  • Toshihiro Kondo
  • Kazunori Oyama
  • Hidefumi Komatsu
  • Toshihiko Sugiura
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 645)


The physiological mechanism of coupling between neuronal activity, metabolism and cerebral blood flow (CBF) is not clarified enough. In this study, the authors have examined activity-dependent changes in oxygen partial pressure (pO2) and CBF response in an arteriole by 2-dimensional numerical simulation with a mathematical model of O2 transport from the arteriole to its surrounding tissue including an adjusting function of CBF. In the steady state of O2 consumption, an area in the tissue where O2 is supplied from the arteriole becomes smaller as O2 consumption rate of the tissue increases, which is accompanied by increase of CBF. Therefore decrease of the O2- supplied area gradually becomes stagnant. Unsteady responses of the local pO2 and CBF were also examined. The response of pO2 in the upstream area of the arteriole is monophasic increment corresponding to CBF response, whereas the response in the middle area is biphasic response showing an initial decrease followed by a positive peak. In the downstream area, advective flow holds decrement of the pO2. Delay in CBF response to neuronal activity has also been found.


Cerebral Blood Flow Oxygen Transport Downstream Area Cerebral Blood Flow Velocity Adjust Function 
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  1. 1.
    T Kato, Principle and technique of NIRS-Imaging for human brain FORCE: fast-oxygen response in capillary event, International Congress Series, 1270, 85-90 (2004).Google Scholar
  2. 2.
    Fox PT, Raichle ME, Focal physiological uncoupling of cerebral blood flow and oxidative metabolism during somatosensory stimulation in human subjects, Proc Natl Acad Sci USA. 83 (4), 1140-4 (1986).PubMedCrossRefGoogle Scholar
  3. 3.
    Buxton RB, Frank LR, A model for the coupling between cerebral blood flow and oxygen metabolism during neural stimulation, J Cereb Blood Flow Metab. 17 (1), 64-72 (1997).PubMedCrossRefGoogle Scholar
  4. 4.
    Offenhauser N, Thomsen K, Caesar K, Lauritzen M, Activity-induced tissue oxygenation changes in rat cerebellar cortex: interplay of postsynaptic activation and blood flow, J Physiol. 565 (pt1), 279-94 (2005).PubMedCrossRefGoogle Scholar
  5. 5.
    T Akiyama, T Ohira, T Kawase and T,kato, TMS orientation for NIRS functional motor mapping, Brain Topogr, 19(1-2),1-9 (2006).Google Scholar
  6. 6.
    Hudetz AG, Mathematical model of oxygen transport in the cerebral cortex, Brain Res. 817 (1-2), 75-83 (1999).PubMedCrossRefGoogle Scholar
  7. 7.
    Wang CH, Popel AS, Effect of red blood cell shape on oxygen transport in capillaries, Math Biosci. 116 (1), 89-110 (1993).PubMedCrossRefGoogle Scholar
  8. 8.
    Tanishita, K, Masamoto, K, Negishi, T, Takizawa, N, Kobayashi, H, Oxygen transport in the microvessel network, In Organ Microcirculation, (ed, Ishii, H et al), Springer, pp. 13-20 (2004)Google Scholar
  9. 9.
    Y Zheng, J Martindale, D Jhonston, M Jones, J Berwick, and J Mayhew, A model of the hemodynamic responses and oxygen delivery to brain, NeuroImage 16, 617-637 (2002)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Toshihiro Kondo
    • 1
  • Kazunori Oyama
    • 1
  • Hidefumi Komatsu
    • 1
  • Toshihiko Sugiura
    • 1
  1. 1.Department of Mechanical EngineeringKeio University,3-14-1HiyoshiJapan

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