mathematics

Lactitol

Lactitol is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Lactitol rather than just read about it. In short: Lactitol is a disaccharide sugar alcohol produced from lactose. It is used as a replacement bulk sweetener for low calorie foods with 30–40% of the sweetness of sucrose.

Key takeaways

Lactitol belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Lactitol to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Lactitol from memory before moving on to harder problems.

Reference excerpt

Lactitol is a disaccharide sugar alcohol produced from lactose. It is used as a replacement bulk sweetener for low calorie foods with 30–40% of the sweetness of sucrose. It is also used medically as a laxative.

Production Lactitol is produced by hydrogenation of lactose using Raney nickel catalyst. The product can be obtained as an anhydrous, monohydrate, or dihydrate. Two manufacturers, Danisco and Purac Biochem, produce about 10,000 tons/y.

Applications Lactitol is used in a variety of low food energy or low fat foods. High stability makes it popular for baking. It is used in sugar-free candies, cookies (biscuits), chocolate, and ice cream, with a sweetness of 30–40% that of sucrose. Lactitol also promotes colon health as a prebiotic. Because of poor absorption, lactitol only has 2–2.5 kilocalories (8.4–10.5 kilojoules) per gram, compared to 4 kilocalories (17 kJ) per gram for typical saccharides. Hence, lactitol is about 60% as caloric as typical saccharides.

Medical Lactitol is listed as an excipient in some prescription drugs. Lactitol is a laxative and is used to prevent or treat constipation, e.g., under the trade name Importal. In February 2020, Lactitol was approved for use in the United States as an osmotic laxative for the treatment of chronic idiopathic constipation (CIC) in adults. Lactitol in combination with Ispaghula husk is an approved combination for idiopathic constipation as a laxative and is used to prevent or treat constipation.

Safety and health Lactitol, erythritol, sorbitol, xylitol, mannitol, and maltitol are all classified sugar alcohols (lactitol and maltitol are in fact disaccharide alcohols, since they contain one intact sugar). The U.S. Food and Drug Administration (FDA) classifies sugar alcohols as "generally recognized as safe" (GRAS). They are approved as food additives, and are recognized as not contributing to tooth decay or causing increases in blood glucose. Lactitol is also approved for use in foods in most countries around the world. Like other sugar alcohols, lactitol causes cramping, flatulence, and diarrhea in some individuals who consume it. These effects arise because humans lack a suitable beta-galactosidase in the upper gastrointestinal (GI) tract, and a majority of ingested lactitol reaches the large intestine, where it then becomes fermentable to gut microbes (prebiotic) and can pull water into the gut by osmosis. For these reasons, medical advice is often sought before their use.

History The U.S. Food and Drug Administration (FDA) approved Pizensy based on evidence from a clinical trial (Trial 1/ NCT02819297) of 594 subjects with CIC conducted in the United States. The FDA also considered other supportive evidence including data from Trial 2 (NCT02481947) which compared Pizensy to previously approved drug (lubiprostone) for CIC, and Trial 3 (NCT02819310) in which subjects used Pizensy for one year as well as data from published literature. The benefit and side effects of Pizensy were evaluated in a clinical trial (Trial 1) of 594 subjects with CIC. In this trial, subjects received treatment with either Pizensy or placebo once daily for 6 months. Neither the subjects nor the health care providers knew which treatment was being given until after the trials were completed. In the second trial (Trial 2) of three months duration, improvement in CSBMs was used to compare Pizensy to the drug lubiprostone which was previously approved for CIC. The third trial (Trial 3) was used to collect the side effects in subjects treated with Pizensy for one year.

References

External links Media related to Lactitol at Wikimedia Commons "Lactitol". Drug Information Portal. U.S. National Library of Medicine. Archived from the original on 20 January 2017.

Illustrations

Worked examples

Example 1 — a first encounter with Lactitol

Start with the simplest possible case. Write down what Lactitol claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Lactitol before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Lactitol ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Lactitol

In research: Lactitol appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Lactitol in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Lactitol is common in secondary-school and first-year university syllabi. It links to neighbouring topics Disaccharides, E-number additives, Lactose, so understanding it makes those chapters shorter.
In everyday life: Look for Lactitol outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Lactitol in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Lactitol means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Lactitol out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Lactitol in simple terms?

Lactitol is a disaccharide sugar alcohol produced from lactose. It is used as a replacement bulk sweetener for low calorie foods with 30–40% of the sweetness of sucrose.

Why does Lactitol matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Lactitol?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Lactitol.