Related Experiment Video
Updated: Jun 19, 2026

07:56
Digital Planimetry for Assessing Wound Closure Kinetics in a Mouse Model
Published on: January 10, 2025
CICATRIZATION OF WOUNDS : II. MATHEMATICAL EXPRESSION OF THE CURVE REPRESENTING CICATRIZATION
1Laboratories of The Rockefeller Institute for Medical Research, New York, and Hospital 21, Compiègne, France.
The Journal of Experimental Medicine
|October 30, 2009
Summary
Wound healing can be quantified using mathematical equations, enabling precise tracking of healing progress. This approach allows for objective assessment of treatments and individual healing variations.
Area of Science:
- Wound healing
- Physicochemical phenomena
- Biomathematics
Background:
- Cicatrization, or wound healing, is a complex biological process.
- Studying wound healing as a physicochemical phenomenon offers new analytical perspectives.
- Accurate measurement is key to understanding healing dynamics.
Purpose of the Study:
- To establish a mathematical model for wound cicatrization.
- To create a theoretical healing curve for aseptic wounds.
- To provide a quantitative tool for assessing wound healing and treatment efficacy.
Main Methods:
- Treating wound cicatrization as a physicochemical process.
- Developing a mathematical equation to describe the law of cicatrization.
- Generating a theoretical healing curve based on the equation.
Main Results:
- A mathematical equation accurately represents the theoretical evolution of wound cicatrization.
- The derived curve serves as a benchmark for normal, aseptic wound healing.
- The model facilitates the study of healing fluctuations and treatment effects.
Conclusions:
- Wound healing can be modeled as a physicochemical phenomenon.
- Mathematical equations and curves offer a quantitative method to study cicatrization.
- This approach enables accurate assessment of individual healing and therapeutic interventions.
Related Concept Videos
Phases of Wound Repair
Following injury, the integrity of the injured tissues must be reestablished. For example, in skin tissue, wound repair involves coordination among resident skin cells, blood mononuclear cells, extracellular matrix, growth factors, and cytokines to complete the healing cascade.
Formation of Blood Clot
In case of deep injuries, trauma to blood vessels results in blood loss. In the meantime, phospholipids released from the ruptured endothelial cellular membrane are converted into arachidonic...
Formation of Blood Clot
In case of deep injuries, trauma to blood vessels results in blood loss. In the meantime, phospholipids released from the ruptured endothelial cellular membrane are converted into arachidonic...
Simpson's Rule II
In warehouse roofing applications, corrugated or curved metal sheets are commonly used to improve structural strength, water drainage, and ventilation efficiency. To accurately estimate material requirements and optimize design parameters, engineers must determine the curved surface area of these sheets. Because the sheet profiles often repeat smoothly along their length, they can be effectively approximated by parabolic curves, enabling the use of numerical integration techniques for area...
Healing II: Complications
Complications during healing arise when tissue repair is altered by local or systemic factors. These changes involve abnormal collagen deposition, altered biomechanics, and reduced vascular supply, impairing restoration of normal structure and function.Loss of FunctionScar tissue differs significantly from the original tissue it replaces. In the skin, fibrosis lacks adnexal structures such as hair follicles, sebaceous glands, and sweat glands. Their absence reduces tactile sensitivity, impairs...
Curve Equations
Curves are essential geometric elements characterized by tangent distance, chord length, middle ordinate, and total arc length. These measurements are crucial in understanding a curve's geometric and spatial properties and are defined by the relationship between its radius and its central angle.The tangent distance (T) refers to the straight-line measurement from the intersection point of two tangents to either the start or end of the curve. This distance is influenced by the curve's radius (R)...
Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs
The fundamental mathematical principles, such as calculus and graphs, play crucial roles in analyzing drug movement and determining pharmacokinetic parameters. Differential calculus examines rates of change and helps to determine the dissolution rate of drugs in biofluids, as well as how drug concentrations change over time. For instance, it can help calculate the rate of elimination of a drug from the body based on its concentration-time profile.
On the other hand, integral calculus focuses on...
On the other hand, integral calculus focuses on...
Survival Curves
Survival curves are graphical representations that depict the survival experience of a population over time, offering an intuitive way to track the proportion of individuals who remain event-free at each time point. These curves are widely used in fields such as medicine, public health, and reliability engineering to visualize and compare survival probabilities across different groups or conditions.
The Kaplan-Meier estimator is the most common method for constructing survival curves. This...
The Kaplan-Meier estimator is the most common method for constructing survival curves. This...

