一种基于图灵模式方法的指纹形成的生化假说。
A biochemical hypothesis on the formation of fingerprints using a turing patterns approach.
作者信息
Garzón-Alvarado Diego A, Ramírez Martinez Angelica M
机构信息
Mechanical and Mechatronics Engineering Department, Universidad Nacional de Colombia, Engineering Modeling and Numerical Methods Group (GNUM), Bogotá, Colombia.
出版信息
Theor Biol Med Model. 2011 Jun 28;8:24. doi: 10.1186/1742-4682-8-24.
BACKGROUND
Fingerprints represent a particular characteristic for each individual. Characteristic patterns are also formed on the palms of the hands and soles of the feet. Their origin and development is still unknown but it is believed to have a strong genetic component, although it is not the only thing determining its formation. Each fingerprint is a papillary drawing composed by papillae and rete ridges (crests). This paper proposes a phenomenological model describing fingerprint pattern formation using reaction diffusion equations with Turing space parameters.
RESULTS
Several numerical examples were solved regarding simplified finger geometries to study pattern formation. The finite element method was used for numerical solution, in conjunction with the Newton-Raphson method to approximate nonlinear partial differential equations.
CONCLUSIONS
The numerical examples showed that the model could represent the formation of different types of fingerprint characteristics in each individual.
背景
指纹是每个人独特的特征。手掌和脚底也会形成独特的纹路。它们的起源和发育仍然未知，但据信具有很强的遗传成分，尽管遗传并非决定其形成的唯一因素。每个指纹都是由乳头和 rete 嵴（嵴）组成的乳头图样。本文提出了一个现象学模型，使用具有图灵空间参数的反应扩散方程来描述指纹图案的形成。
结果
针对简化的手指几何形状求解了几个数值示例，以研究图案形成。使用有限元方法进行数值求解，并结合牛顿 - 拉夫逊方法来近似非线性偏微分方程。
结论
数值示例表明，该模型可以代表每个人不同类型指纹特征的形成。
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