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动脉分支非线性血液脉搏波的数理研究

The study on nonlinear blood waves due to arterial branching by Mathematics and Physics
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摘要 运用幂级数展开法得到了动脉分支非线性血液脉搏波方程的周期波解、激波解和孤波解,并且借助计算机软件Mathematica,做出了各种解的图形,从而形象的展示了动脉分支处血液的传播形式,以数学物理的角度验证了动脉分支处动脉血管中脉搏波的存在。 Power series expansion mehtods are used to study nonlinear blood waves due to arterial branching, and we got the periodic solution, shock solution and the solitary solution. With the help of mathematica, we obtained the figures of the solutions. Then the figures showed the spreading form in blood of artery branches vividly, and proved that the pulse of arterial bifurcation vessel exists by Mathematics and Physics.
作者 黄磊 樊祥民
出处 《菏泽医学专科学校学报》 2010年第2期86-90,共5页 Journal of Heze Medical College
关键词 非线性血液脉搏波方程 周期波 孤波 激波 nonlinear blood waves soliton wave periodic wave shock wave
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