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Hybrid discrete-continuum model of tumor growth considering capillary points |
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| Authors: | Jie LYU Shi-xiong XU Wei YAO Yu ZHOU Quan LONG |
| Institution: | 1. Department of Medical Instrumentation Engineering, Shanghai Medical Instrumentation College, Shanghai, 200093, P. R. China 2. Department of Mechanics and Engineering Science, Fudan University, Shanghai, 200433, P. R. China 3. Neusoft Medical System, Shenyang, 110179, P. R. China 4. Brunel Institute for Bioengineering, School of Engineering and Design, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK |
| Abstract: | A hybrid discrete-continuum model of tumor growth in the avascular phase considering capillary points is established. The influence of the position of capillary points on tumor growth is also studied by simulation. The results of the dynamic tumor growth and the distribution of oxygen, matrix-degrading enzymes, and extracellular matrix-concentration in the microenvironment with respect to time are shown by graphs. The relationships between different oxygenated environments and the numbers of surviving, dead, proliferative, and quiescent tumor cells are also investigated. |
| Keywords: | mathematical model capillary point tumor growth oxygen |
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