使用图灵模式方法对指纹形成的生化假设。

Q1 Mathematics
Diego A Garzón-Alvarado, Angelica M Ramírez Martinez
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引用次数: 29

摘要

背景:指纹代表了每个人的特定特征。手掌和脚底也形成了特征图案。它们的起源和发展仍然未知,但人们相信它有很强的遗传成分,尽管它不是决定其形成的唯一因素。每个指纹都是由乳头和网状脊(嵴)组成的乳头状图。本文提出了一种用带有图灵空间参数的反应扩散方程描述指纹图案形成的现象学模型。结果:通过对简化手指几何图形的数值求解,研究了图形的形成。采用有限元法对非线性偏微分方程进行数值求解,结合牛顿-拉夫逊法对非线性偏微分方程进行近似求解。结论:数值算例表明,该模型能较好地表征个体不同类型指纹特征的形成。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

A biochemical hypothesis on the formation of fingerprints using a turing patterns approach.

A biochemical hypothesis on the formation of fingerprints using a turing patterns approach.

A biochemical hypothesis on the formation of fingerprints using a turing patterns approach.

A biochemical hypothesis on the formation of fingerprints using a turing patterns approach.

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.

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来源期刊
Theoretical Biology and Medical Modelling
Theoretical Biology and Medical Modelling MATHEMATICAL & COMPUTATIONAL BIOLOGY-
自引率
0.00%
发文量
0
审稿时长
6-12 weeks
期刊介绍: Theoretical Biology and Medical Modelling is an open access peer-reviewed journal adopting a broad definition of "biology" and focusing on theoretical ideas and models associated with developments in biology and medicine. Mathematicians, biologists and clinicians of various specialisms, philosophers and historians of science are all contributing to the emergence of novel concepts in an age of systems biology, bioinformatics and computer modelling. This is the field in which Theoretical Biology and Medical Modelling operates. We welcome submissions that are technically sound and offering either improved understanding in biology and medicine or progress in theory or method.
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