Related Experiment Video
Updated: Jun 22, 2026

10:18
Blue-hazard-free Candlelight OLED
Published on: March 19, 2017
The mathematics of tanning
Josef Thingnes1, Leiv Oyehaug, Eivind Hovig
1Centre for Integrative Genetics (CIGENE), Norwegian University of Life Sciences (UMB), PO Box 5003, 1432 As, Norway. joset@umb.no
BMC Systems Biology
|June 10, 2009
Summary
This study presents a mathematical model of the skin tanning response. The model simulates UV-induced melanin production and distribution, aiding future research into skin pigmentation regulation.
Area of Science:
- Dermatology
- Mathematical Biology
- Biophysics
Background:
- Melanin, the pigment responsible for skin color, is produced by melanocytes.
- Sun tanning involves UV-induced melanin release and redistribution to keratinocytes in the epidermis.
- Current understanding of the tanning response lacks a dynamic, mathematical framework.
Purpose of the Study:
- To develop a mathematical dynamic model of the skin tanning response.
- To conceptualize and simulate UV-induced melanin production and distribution.
- To provide a foundation for theoretical-experimental research on tanning.
Main Methods:
- Development of a dynamic mathematical model.
- Tuning model resolution to available experimental data.
- Focus on describing the tanning response following UV exposure.
Main Results:
- The model successfully accounts for experimental data across various skin and photo types.
- Key predictors of tanning response include epidermal thickness and melanocyte dendrite growth.
- The model offers insights into the quantitative aspects of UV-induced pigmentation.
Conclusions:
- The developed model serves as a basis for future theoretical-experimental research programs.
- Further experimental validation is needed to refine the model.
- The model aids in understanding the regulatory mechanisms of skin tanning.
Related Concept Videos
Trigonometric Identities I
Trigonometric identities are equations that relate trigonometric functions and hold for all angles within their domains. A fundamental identity among these is the Pythagorean identity, which arises directly from the geometry of the unit circle. For any angle θ, a point on the unit circle has coordinates (cos θ, sin θ), and since the radius of the circle is one, the Pythagorean Theorem gives:This identity serves as the basis for deriving additional identities. Dividing the Pythagorean identity...
Pigmentation
The color of the skin is influenced by a number of pigments, including melanin, carotene, and hemoglobin. Recall that melanin is produced by cells called melanocytes, which are found scattered throughout the stratum basale of the epidermis. The melanin is transferred to the keratinocytes via melanosomes.
Melanin occurs in two primary forms: eumelanin that provides black and brown pigment and pheomelanin that provides red color. Dark-skinned individuals produce more melanin than those with pale...
Melanin occurs in two primary forms: eumelanin that provides black and brown pigment and pheomelanin that provides red color. Dark-skinned individuals produce more melanin than those with pale...
Trigonometric Identities II
Double-angle and half-angle trigonometric identities are derived from the fundamental sum and difference formulas and serve as essential tools for simplifying expressions, solving equations, and evaluating integrals. These identities reduce the complexity of trigonometric functions by relating functions of a multiple or fractional angle to functions of a single angle. Their applications extend across mathematics, physics, and engineering, particularly in Fourier analysis, wave mechanics, and...
Integrals of Powers of Secant and Tangent
Integrals involving powers of tangent and secant are commonly evaluated using substitution, with the strategy determined by the parity of the exponents. The method relies on pairing part of the integrand with the derivative of a suitable trigonometric function and rewriting the remaining factors using trigonometric identities.When the power of secant is even, tangent is chosen as the substitution variable. Since the derivative of tangent is secant squared, a factor of sec2x can be separated...
Trigonometric Equations
Trigonometric equations involve one or more trigonometric functions and arise frequently in mathematical modeling. These equations may be either identities, which are valid for all values of the variable, or conditional equations, which hold true only for specific values. The process of solving trigonometric equations typically involves both algebraic techniques and the use of fundamental properties of trigonometric functions.Some trigonometric equations resemble standard algebraic forms and...
Tangent to a Curve
The graph of a function where each output is the square of the input creates a smooth curve that bends upward, becoming steeper as one moves further from the center. At any chosen position along this curve, the curve reaches a certain height depending on the input value. This position can be a reference for analyzing how the curve behaves in its immediate vicinity.To understand the change in the curve near a particular position, imagine selecting another point slightly ahead along the curve.
