Work place: School of Mathematics and Statistics, Huazhong University of Sience and Technology, Wuhan, China
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Research Interests: Computational Mathematics, Mathematics of Computing, Models of Computation, Mathematics
Biography
Lie Li was born in Wuhan in Hubei Province of China, on June. 5, 1990. He would receive his
Bachelor’s degree in 2012 from Department of Mathematics, Huazhong University of Science and
Technology. His research interests are mathematicsm models for intracranial pressure and theory of elasticity.
By Ketong Wang Lie Li Danqing Li Yun Ding Xiaoyang Zhou
DOI: https://doi.org/10.5815/ijieeb.2011.02.07, Pub. Date: 8 Mar. 2011
A novel lumped-parameter model is proposed to help with establish practice criteria of decompressive craniectomy and explain post-craniectomy intracranial dynamics. Besides traditional four major parts of arterial and venous blood, cerebrospinal fluid and brain tissue, another compartment produced by secondary intracranial hypertension is included here. The elliptical deflection solution under uniformly distributed pressure is introduced to compute the craniectomy compartment volume and incorporate it into existing differential equations. Under particular pathology in this paper our model predicts the waveform of post-craniectomy intracranial pressure, which measures the clinical effectiveness of such an operation. Then a statistical model—Gaussian fitting model is used to fit our simulation data. This quantitative model provides a possible way to designate the operation criteria such as the size of decompressive craniectomy. Finally we propose the optimal interval of craniectomy size as from 100 to 300 square centimeters and that larger than 400 square centimeters would not obviously reinforce pressure reduction anymore.
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