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

Garzón-Alvarado DA, Ramírez Martinez AM - Theor Biol Med Model (2011)

Bottom Line: 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.The numerical examples showed that the model could represent the formation of different types of fingerprint characteristics in each individual.

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Affiliation: Mechanical and Mechatronics Engineering Department, Universidad Nacional de Colombia, Engineering Modeling and Numerical Methods Group (GNUM), Bogotá, Colombia. dagarzona@bt.unal.edu.co

ABSTRACT

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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Stages of Fingerprint formation simulation. Different instants of time in the evolution of the folds and grooves forming the fingerprint. a) t = 0, b) t = 20, c) t = 40, d) t = 60, e) t = 80 f) t = 100. Time is dimensionless.
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Figure 5: Stages of Fingerprint formation simulation. Different instants of time in the evolution of the folds and grooves forming the fingerprint. a) t = 0, b) t = 20, c) t = 40, d) t = 60, e) t = 80 f) t = 100. Time is dimensionless.

Mentions: Figure 5 shows temporal evolution during the formation of folds and furrows on the fingertip. In 5a) shows that there was no formation whatsoever of folds. In b), small bumps began to form, in the entire domain, which continued to grow and form the grooves, as shown in Figure 5f).


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

Garzón-Alvarado DA, Ramírez Martinez AM - Theor Biol Med Model (2011)

Stages of Fingerprint formation simulation. Different instants of time in the evolution of the folds and grooves forming the fingerprint. a) t = 0, b) t = 20, c) t = 40, d) t = 60, e) t = 80 f) t = 100. Time is dimensionless.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3141687&req=5

Figure 5: Stages of Fingerprint formation simulation. Different instants of time in the evolution of the folds and grooves forming the fingerprint. a) t = 0, b) t = 20, c) t = 40, d) t = 60, e) t = 80 f) t = 100. Time is dimensionless.
Mentions: Figure 5 shows temporal evolution during the formation of folds and furrows on the fingertip. In 5a) shows that there was no formation whatsoever of folds. In b), small bumps began to form, in the entire domain, which continued to grow and form the grooves, as shown in Figure 5f).

Bottom Line: 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.The numerical examples showed that the model could represent the formation of different types of fingerprint characteristics in each individual.

View Article: PubMed Central - HTML - PubMed

Affiliation: Mechanical and Mechatronics Engineering Department, Universidad Nacional de Colombia, Engineering Modeling and Numerical Methods Group (GNUM), Bogotá, Colombia. dagarzona@bt.unal.edu.co

ABSTRACT

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.

Show MeSH
Related in: MedlinePlus