Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (2): 153-162.doi: https://doi.org/10.1007/s10483-015-1907-7

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3D numerical study of tumor blood perfusion and oxygen transport during vascular normalization

Jie WU1,2, Yan CAI3, Yi FU1,2, Zhujun TAN4, Ren SUN1,2, Shixiong XU5, Zurong DING1,2, Cheng DONG2,6   

  1. 1. Ministry of Education of China (MOE) Key Laboratory of Hydrodynamics, Shanghai Jiao Tong University, Shanghai 200240, China;
    2. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
    3. School of Biological Science and Medical Engineering, Southeast University, Nanjing 210096, China;
    4. Institute of Biliary Tract Disease, Xinhua Hospital, Shanghai 200092, China;
    5. Department of Mechanics and Engineering Science, Fudan University,Shanghai 200433, China;
    6. Department of Biomedical Engineering, The Pennsylvania State University, The Pennsylvania State 16801, U. S. A.
  • Received:2014-03-17 Revised:2014-07-24 Online:2015-02-01 Published:2015-02-01
  • Contact: Jie WU E-mail:jiewu82@sjtu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Nos. 11102113 and 81301816), the New Teachers Start Program of Shanghai Jiao Tong University, the Chenxing Young Scholars Program B of Shanghai Jiao Tong University (No. 13X100010070), and the Natural Science Research Foundation of Shanghai Jiao Tong University School of Medicine (No. 13XJ10037)

Abstract:

The changes of blood perfusion and oxygen transport in tumors during tumor vascular normalization are studied with 3-dimensional mathematical modeling and numerical simulation. The models of tumor angiogenesis and vascular-disrupting are used to simulate “un-normalized” and “normalized” vasculatures. A new model combining tumor hemodynamics and oxygen transport is developed. In this model, the intravasculartransvascular- interstitial flow with red blood cell (RBC) delivery is tightly coupled, and the oxygen resource is produced by heterogeneous distribution of hematocrit from the flow simulation. The results show that both tumor blood perfusion and hematocrit in the vessels increase, and the hypoxia microenvironment in the tumor center is greatly improved during vascular normalization. The total oxygen content inside the tumor tissue increases by about 67%, 51%, and 95% for the three approaches of vascular normalization, respectively. The elevation of oxygen concentration in tumors can improve its metabolic environment, and consequently reduce malignancy of tumor cells. It can also enhance radiation and chemotherapeutics to tumors.

Key words: numerical simulation, red blood cell (RBC) delivery, vascular normalization, oxygen transport, tumor hypoxia environment

2010 MSC Number: 

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