Mathematical model and computational simulation of capillary-tissue oxygen transportation

( views:1258, downloads:0 )
SU Juan(Department of Biomedical Engineering, China Medical University, Shengyang 110001, China)
SHA Xian-zheng(Department of Biomedical Engineering, China Medical University, Shengyang 110001, China)
Journal Title:
Chinese Journal of Biomedical Engineering
Volume 18, Issue 03, 2012
Key Word:
Computer simulation;Capillaries;Oxygen transportation;Diffusion

Abstract: Objective To investigate the distribution characteristics and potential impact factors of oxygen concentration in capillaries and tissues by using a three-dimensional capillary-tissue model for determination of oxygen transportation within biological tissues,thereby offering theoretical ground for complete quantilied calibration of implantable glucose sensor.Methods Elemental and complicated capillary-tissue models were constructed for simulation of oxygen transportation within capillaries by adopting equations for convection and diffusion control that incorporated with intracapillary free oxygen and hemoglobin-bonded oxygen,and for simulation of oxygen transportation within tissues by adopting equations tor diffusion.Results Oxygen concentration appeared to decline along with the blood flow,as suggested by elemental and complicated capillary-tissue models.The distance of oxygen transportation in muscle tissues was approximately 40 μm during static state.Increased tissue maximal oxygen consumption,reduced oxygen diffusion cocfficicnt,declined mean blood flow and decreased capillary inlet oxygen partial pressure were all responsible for lowered oxygen concentration within the tissues under steady state.Conclusion Simulation results of oxygen transportation are in tune with empirical data or observed phenomenon upon our successful construction of three-dimensional capillary-tissue model.

  • [1]沙宪政,Gough DA.可植入式葡萄糖传感器数学模型的研究.中国生物医学工程学报,2004,23:236-242,258.
  • [2]Makale MT,Jablccki MC,Cough DA.Mass lransfer and gasphase calibration of implanted oxygen sensors.Anal Chem,2004,76:1773-1777.
  • [3]Pries AR,Secomb TW,Gaehtgens P,et al.Biophysical aspects of blood flow in the microvasculature.Cardiovasc Res,1996,32:654-667.
  • [4]Fang Q,Sakadzié S,Ruvinskaya L,et al.Oxygen advection and diffusion in a three-dimentional vascular anatomical network.Opt Express,2008,16:17530-17541.
  • [5]Kirkpatrick JP,Brizel DM,Dewhirst MW.A mathematical model of tumor oxygen and glucose mass transport and metabolism with complex reaction kinetics.Radiat Res,2003,159:336-344.
  • [6]孙启龙.毛细血管中的氧扩散模型及其应用研究.苏州:苏州大学,20 7:34-36.
  • [7]Liu D,Wood NB,Witt N,et al.Computational analysis of oxygen transport in the retinal arterial network.Curr Eye Res,2 9,34:945-956.
  • [8]Goldman D,Bateman RM,Ellis CG Effect of sepsis on skeletal muscle oxygen consumption and tissue oxygenation:interpreting capillary oxygen transport data using a mathematical model.Am J Physiol Heart Cire Physiol,2 4,287:H2535-2544.
  • [9]Tsoukias NM,Goldman D,Vadapalli A,et al.A computational model of oxygen delivery by hemoglobin-based oxygen carriers in three-dimensional microvascular networks.J Theor Bid,2 7,248:657-674.
  • [1]Secomb TW,Hsu R,Park EY,et al.Green's function methods for analysis of oxygen delivery to tissue by microvascular networks.Ann Biomed Eng,2 4,32:1519-1529.
  • [11]Hapuarachchi T,Park CS,Paync S.Quantification of the effects of vasomotion on mass transport to tissue from axisymmetric blood vessels.J Theor Biol,2010,264:553-559.
  • [12]Groebe K,Vaupel P.Evaluation of oxygen diffusion distances in human breast cancer xenografts using tumor-specific in vivo data:role of various mechanisms in the development of tumor hypoxia.Int J Radiat Oncol Biol Phys,1988,15:691-697.
WanfangData CO.,Ltd All Rights Reserved
About WanfangData | Contact US
Healthcare Department, Fuxing Road NO.15, Haidian District Beijing, 100038 P.R.China
Tel:+86-010-58882616 Fax:+86-010-58882615