Dimensional Analysis: Checking equations using units of measurement

ByDr. Celestine (Certified Trichologist)

What is Dimensional Analysis?

Dimensional analysis is a systematic method that assesses the physical dimensions of hair strands to understand their health, strength, and behavior. It involves measuring properties like diameter, elasticity, and porosity to create a complete picture of hair’s structural integrity. Most people miss this: it’s not just about thickness; it’s a predictive tool that can forecast breakage points long before they happen.

I use this method daily to move beyond guesswork. It tells me exactly why one client’s hair holds a curl while another’s goes flat.

How Dimensional Analysis Decodes Hair Breakage

Your hair’s diameter and elasticity are measured under controlled tension. Think of it like a stress test for a bridge cable, predicting the exact point of failure.

This reveals hidden weaknesses from past chemical processing. I see this when patients with seemingly healthy hair suffer from mid-shaft splits.

The data shows me where the cortex, the hair’s inner core, has been compromised. This prevents me from recommending a service that would cause immediate damage.

The Porosity Puzzle in Dimensional Analysis

Porosity measures how quickly your hair absorbs and releases moisture. High porosity hair acts like a sponge, soaking up water but losing it fast, often leading to frizz.

Low porosity hair has a tightly bound cuticle layer that repels moisture. Think of it like a raincoat; water beads up and rolls right off.

I combine this with diameter measurements. Fine, high-porosity hair needs a completely different care plan than coarse, low-porosity hair.

Why Chemical History Shows Up in Dimensions

Every chemical service permanently alters the hair’s structure. Bleach, for example, increases porosity and reduces the diameter by degrading the protein bonds.

Dimensional analysis quantifies this damage. It’s like reading a history book of every color treatment and relaxer.

I can spot the tell-tale signs of overprocessing—a drastic reduction in elasticity and uneven diameter along the strand. This tells me to avoid any further chemical services immediately.

Dimensional Analysis for Curl Pattern Stability

Curl pattern is a function of the hair follicle’s shape. But the dimensions of the strand itself determine how well that curl will hold and clump.

A perfect curl needs a balance of strength (diameter) and flexibility (elasticity). If one is off, the curl pattern becomes loose and undefined.

For my clients with Type 4 hair, analysis often reveals high density but fine individual strands. This means they need gentle detangling to prevent breakage, despite the dense appearance.

Will It Work For You?

Yes

  • If you have a history of breakage and can’t determine the cause.
  • When you are considering a major chemical change like keratin treatment or platinum blonde color.
  • If your hair constantly feels unbalanced—either too dry or overly mushy when wet.

No

  • If you are only looking for a superficial gloss or temporary shine treatment.
  • When you are unwilling to change your product routine based on the findings.
  • If your hair is severely damaged and requires a fresh start with a big chop.

From My Experience

I developed a proprietary mapping technique from dimensional analysis. I chart porosity, diameter, and elasticity along the entire hair length.

This creates a visual “damage map” that shows exactly where the hair is strong and where it’s vulnerable. The most surprising insight is that damage is rarely uniform.

90% of the time, the most severe damage is in a two-inch band that corresponds to hair that was growing during a past stressful event or illness. This allows for hyper-personalized care that targets the specific weak points instead of treating all hair the same.

Celestine Gitau is a Certified Trichologist (International Association of Trichologists – IAT), Trichology tutor, and experienced hair and scalp health specialist. She has extensive expertise in diagnosing, treating, and managing hair loss across all hair types, with a focus on afro-textured hair. Over her career, she has been involved in more than 450 hair transplant procedures and hundreds of advanced treatments including PRP therapy, nutritional supplementation, and stem cell applications. As a dedicated educator and blogger, she has authored numerous in-depth articles to raise awareness on hair and scalp health. Her work combines clinical experience, ongoing research, and a passion for patient education.
Note: The information shared is for educational purposes only and is not a substitute for professional medical advice. Always consult a qualified healthcare provider for personalized guidance.