相信各位朋友都知道,史丹福除了喜歡血液學外,亦對數學非常有興趣。最近有朋友給我看了一篇有趣的文章,文章刊登在《Bulletin of Mathematical Biology》期刊中。文章的作者為裂口型紅細胞(stomatocytes)與鋸齒狀紅血球(echinocytes)兩種異常的紅血球建立了數學模型,嘗試讓我們更了解它們的結構。當中更涉及到雅可比橢圓函數(Jacobi elliptical function)等高等數學,非常有趣。
裂口型紅細胞是中央有裂縫的紅血球,頗像張開的口。它們可以在先天性裂口型紅細胞增多症(hereditary stomatocytosis)或東南亞卵圓形紅細胞增多症(Southeast Asian ovalocytosis)的病人中找到。至於鋸齒狀紅血球則外圍有如針狀的凸起,凸起的程度小且多,並在細胞膜上均勻分布。這種細胞常在腎功能衰退的病人中出現,但有時候則純粹是抽血瓶使用EDTA抗凝血劑引起的現象,可以在完全正常的血液中出現。
利用數學方法來研究紅血球形狀這方法非常新穎有趣,也不禁令我想起讀大學時期的老師黎青龍教授的名言--No knowledge is useless。數學看似抽象且「離地」,與日常生活相距遙遠,有人甚至覺得數學是「沒有用」的學問。但其實只要用得其所,數學的應用空間其實很大,就連紅血球形狀這樣的問題都有用得到數學的地方。
有興趣的朋友可參考以下文章:
https://www.researchgate.net/publication/221710602_Mathematical_models_of_naturally_morphed_human_erythrocytes_stomatocytes_and_echinocytes
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