Mathematical modeling of the onset of capillary formation initiating angiogenesis

被引:0
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作者
Howard A. Levine
Brian D. Sleeman
Marit Nilsen-Hamilton
机构
[1] Department of Mathematics,
[2] Iowa State University,undefined
[3] Ames,undefined
[4] IA,undefined
[5] 50011,undefined
[6] USA. e-mail: halevine@iastate.edu,undefined
[7] School of Mathematics,undefined
[8] University of Leeds,undefined
[9] Leeds LS2 9JT,undefined
[10] England,undefined
[11] UK. e-mail: bds@amsta.leeds.ac.uk,undefined
[12] Department of Biochemistry,undefined
[13] Biophysics and Molecular Biology,undefined
[14] Iowa State University,undefined
[15] Ames,undefined
[16] Iowa,undefined
[17] 50011,undefined
[18] USA. e-mail: marit@iastate.edu,undefined
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关键词
Key words: Angiogenesis – Capillary formation – Growth factors – Reinforced random walk – Michealis-Menten kinetics;
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摘要
It is well accepted that neo-vascular formation can be divided into three main stages (which may be overlapping): (1) changes within the existing vessel, (2) formation of a new channel, (3) maturation of the new vessel.
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页码:195 / 238
页数:43
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