The Laws of Small Numbers


Big inputs make big mistakes; small inputs make small mistakes.”
That is the first thing my friend Kanji Ishikawa says to himself each morning on arising. It is his mantra, the single most important thing he knows about diabetes.

Kanji is the oldest surviving type 1 diabetic in Japan (he is, by the way, younger than I, but afflicted with numerous long-term diabetic complications because of many years of uncontrolled blood sugars). Many biological and mechanical systems respond in a predictable way to small inputs but in a chaotic and considerably less predictable way to large inputs. Consider for a moment traffic. Put a small number of automobiles on a given stretch of highway and traffic acts in a predictable fashion: cars can maintain speed, enter and merge into open spaces, and exit with a minimum of danger. There’s room for error. Double the number of cars and the risks don’t just double, they increase geometrically. Triple or quadruple the number of cars and the unpredictability of a safe trip increases exponentially.

The name of the game for the diabetic in achieving blood sugar normalization is predictability. It’s very difficult to use medications safely unless you can predict the effect they’ll have. Nor can you normalize blood sugar unless you can predict the effects of what you’re eating. If you can’t accurately predict your blood sugar levels, then you can’t
accurately predict your needs for insulin or oral blood sugar–lowering agents. If the kinds of foods you’re eating give you consistently unpredictable blood sugar levels, then it will be impossible to normalize blood sugars.

One of the prime intents of this book is to give you the information you need to learn how to predict your blood sugar levels and how to ensure that your predictions will be accurate. Here the Laws of Small Numbers are exceedingly important.

Predictability. How do you achieve it?

THE LAW OF CARBOHYDRATE ESTIMATION

The old American Diabetes Association (ADA) dietary recommendations allowed 150 grams of carbohydrate per meal. This, as you may know by now, is grossly excessive for people trying to control their blood sugars. Here is one reason why.

Typically, 150 grams of carbohydrate would be a good-sized bowl of cooked pasta. You may think that by reading the ingredients label on the package you can precisely compute how much of the dry pasta you must weigh out to dispense exactly 150 grams of carbohydrate. Now, if you’re a nonobese type 1 diabetic who weighs 150 pounds (68 kilograms) and makes no insulin, 1 gram of carbohydrate will raise your blood sugar by about 5 mg/dl. By using methods that we’ll later describe, you can calculate exactly how much insulin you must inject to keep your blood sugar at the same point after the meal as it was before the meal. This may sound elegant, but it will rarely work for a highcarbohydrate meal. What neither the ADA nor the package tells you is that food producers are permitted a margin of error of plus or minus 20 percent in their labeling of ingredients. Furthermore, many packaged products—for example vegetable soup—cannot even match this error range, in spite of federal labeling requirements. So even if you perform the necessary calculations, your blood sugar after the meal can be off by a carbohydrate error of 5 mg/dl multiplied by ± 30 grams (± 20 percent of 150 gm), or by a whopping ±150 mg/dl for just this one meal. If your target blood sugar level is approximately 85 mg/ dl, you’ve now got a blood glucose level anywhere between 235 mg/dl and 0 mg/dl. Either situation is clearly unacceptable.

Let’s try another example. Say you’re a type 2 diabetic, obese, and make some insulin of your own but also inject insulin. You’ve found that 1 gram of carbohydrate only raises your blood sugar by 3 mg/dl. Your blood sugar would be off by ±90 mg/dl. If your target blood sugar value is, say, 90 mg/dl, you’re looking at a postmeal blood sugar level of anywhere from 180 mg/dl to 0 mg/dl.

That’s one of the many problems with the ADA guidelines. Big inputs and big uncertainty.

But if you eat an amount of carbohydrate that will affect your blood sugar by one-tenth of that margin of error, then you’re going to have a much simpler time of normalizing blood sugar levels. My diet plan, which we will get into in Chapters 9–11, aims to keep these margins in the realm of ±10–20 mg/dl. How do we accomplish this? Small inputs. Eating only a tenth of a serving of pasta is not the answer. Even small amounts of some carbohydrates can cause big swings in blood sugar. And anyway, who would feel satisfied after such a small serving of pasta? The key is to eat foods that will affect your blood sugar in a very small way.

Small inputs, small mistakes. Sounds so simple and straightforward that it may make you want to ask why no one has told you about it before. Say that instead of eating pasta as the carbohydrate portion of your meal, you eat salad. If you estimate 2 cups of salad to total 12 grams of carbohydrate and are off not by 20 percent but by 30 percent, that’s still an uncertainty of only 4 grams of carbohydrate—a maximum potential 20 mg/dl rise or fall in blood sugar. A big bowl of pasta for a couple of cups of salad? Not much of a trade, you may say. Well, we don’t intend that you starve. As you decrease the amount of fast-acting carbohydrate you eat, you can often simultaneously increase the amount of protein you eat. Protein can, as you may recall, also cause a blood sugar rise, but this takes place much more slowly, to a much smaller degree, and is more easily covered with medication.

In theory, you could weigh everything you eat right down to the last gram and make your calculations based on information provided by the manufacturer or derived from some of the books we use. This information, as noted above, is only an estimate, with considerable margin for error. You will have only a vague idea of what you’re actually consuming, and of the effect it will have on blood sugar.

The idea here is to stick with low levels of slow-acting, nutritious carbohydrates. In addition, stick with foods that will make you feel satisfied without causing huge swings in blood sugar. Simple.

THE LAW OF INSULIN DOSE ABSORPTION

If you do not take insulin, you can skip this section.
Think again of traffic. You’re driving down the road and your car drifts slightly toward the median. To bring it back into line, you make a slight adjustment of the steering wheel. No problem. But yank the steering wheel and it could carry you into another lane, or could send you careening off the road.

When you inject insulin, not all of it reaches your bloodstream. Research has shown that there’s a level of uncertainty as to just how much absorption of insulin actually takes place. The more insulin you use, the greater the level of uncertainty.

When you inject insulin, you’re putting beneath your skin a substance that isn’t, according to your immune system’s way of seeing things, supposed to be there. So a portion of it will be destroyed as a foreign substance before it can reach the bloodstream. The amount that the body can destroy depends on several factors. First is how big a dose you inject. The bigger the dose, the more inflammation and irritation you cause, and the more of a “red flag” you send up to your immune system. Other factors include the depth, speed, and location of
your injection.

Your injections will naturally vary from one time to the next. Even the most fastidious person will unconsciously alter minor things in the injection process from day to day. So the amount of insulin that gets into your bloodstream is always going to have some variability. The bigger the dose, the bigger the variation.

A number of years ago, researchers at the University of Minnesota demonstrated that if you inject about 20 units of insulin into your arm, you’ll get on average a 39 percent variation in the amount that makes it into the bloodstream from one day to the next. They found that abdominal injections had only a 29 percent average variation, and so recommended that we use only abdominal injections. On paper that seems fine, but in practice the effects on blood sugar are still intolerable. Say you do inject 20 units of insulin at one time. Each unit lowers the blood sugar of a typical 150-pound adult by 40 mg/dl. A 29 percent variability will create a 7-unit discrepancy in your 20-unit injection, which means a 280 mg/dl blood sugar uncertainty (40 mg/dl x 7 units). The result is totally haphazard blood sugars and complete unpredictability, just by virtue of the varying amounts of insulin absorbed. Research and my own experience demonstrate that the smaller your dose of insulin, the less variability you get. For type 1 diabetics who are not obese, we’d ideally like to see doses anywhere from ¼ unit to 6 units or at the most 7. Typically, you might take 3–5 units in a shot. At these lower doses, the uncertainty of absorption approaches zero, so that there is no need to worry about whether you should inject in your arm or abdomen or elsewhere.

I have a very obese patient who requires 27 units of long-acting insulin at bedtime. He’s so insulin-resistant that there’s no way to keep his blood sugar under control without this massive dose. In order to ameliorate the unpredictability of large doses, he splits his bedtime insulin into four small shots given into four separate sites using the same disposable syringe. As a rule, I recommend that a single insulin injection never exceed 7 units.

THE LAW OF INSULIN TIMING

Again, it’s very difficult to use any medication safely unless you can predict the effect it will have. With insulin, this is as true of when you inject as it is of how much you take. If you’re a type 1 diabetic, fastacting (regular) insulin can be injected 40–45 minutes prior to a meal tailored to your diet plan to prevent the ensuing rise in blood sugar. Regular, “fast-acting” insulin, despite its designation, doesn’t act very fast, and cannot come close to approximating the phase I insulin response of a nondiabetic. To a lesser degree this is also true of the new, faster-acting lispro (Humalog) or aspart (Novolog) insulins. Still, these are the fastest we have. Small doses of regular start to work in about 45 minutes and do not finish for at least 5 hours; lispro starts to work in about 20 minutes and also takes at least 5 hours to finish. This is considerably slower than the speed at which fast-acting carbohydrate raises blood sugar.

PAGE   1  2

 

Get Entire
Chapter


To save without viewing, right-click and choose Save Target As from pop-up menu

Quick Reference
This quick index helps you zoom in on chapter/article references dealing with a symptom or complication of diabetes. There may be other references throughout the site; always read the paragraphs or pages surrounding the reference in order to obtain proper context. A key to abbreviations is featured at the bottom of the chart.
 

amputation Ch.1
anemia B&A
arm pain B&A
arthritis B&A
cardiomyopathy /
cardiovascular disease
50yrs Ch.1 AppA 
cardiac neuropathy B&A B&A
cataracts / blindness 50yrs Ch.1 Ch.1 Ch.1 B&A App.A Articles
convulsions B&A
diarrhea, chronic Articles Articles
digestive problems B&A
erectile dysfunction (impotence) Ch.1 B&A B&A Ch.23
fatigue / fainting B&A B&A
feet, general App.E Articles Articles
feet, altered gait B&A Articles
feet, deformity 50yrs
feet, neuropathy B&A B&A B&A Ch.23 Articles Articles
feet, numbness B&A B&A
feet, pain Ch.1 B&A B&A
feet, scaly B&A
feet, ulcers B&A Articles
flatulence B&A
frozen shoulder 50yrs Ch.1
glaucoma B&A Articles
gluconeogenesis Ch.1
hand numbness B&A 
heart attack / blood clots Ch.1 App.A
headaches B&A
heart / arterial disease B&A B&A App.A
heartburn / belching / gastroparesis B&A Articles Articles
high cholesterol 50yrs B&A
hypertension / high blood pressure Ch.1 App.A App.A Ch.23 Articles Articles
hyperglycemia Ch.9
hyperinsulinemia Ch.1
hypoglycemia 50yrs 50yrs B&A B&A B&A Ch.1 Ch.9 Articles Articles Articles
ilio-tibial band/tensor fascia lata syndrome 50yrs
impaired glucose tolerance (IGT) Ch.1
joint inflammation / tightness Ch.1
ketoacidosis 50yrs B&A Articles Articles
kidney stones / kidney disease / nephropathy / infections 50yrs Ch.1 B&A B&A B&A B&A App.A App.A App.A Ch.9 Articles
leg pain B&A
macular edema 50yrs
microaneurysms 50yrs 50yrs
mood changes B&A
night blindness 50yrs
nerve damage Ch.1 Ch.1
obesity / weight gain B&A B&A B&A B&A  Ch.1 Ch.1 Ch.12 Articles
osteoporosis Ch.1
periodontal disease  Articles
peripheral vascular disease 50yrs
proteinuria 50yrs 50yrs
retinopathy Ch.1 B&A
salivary duct stones 50yrs
short-term memory loss / loss of mental activity  B&A Articles
skin tightness / skin conditions Ch.1 B&A
sleepiness B&A
sweating B&A B&A
thirst B&A
twitching limbs B&A
ulcers B&A
vision changes / diseases B&A B&A B&A B&A Ch.23 Articles Articles Articles

50yrs: "My First 50 Years as a Diabetic"
B&A: "Before & After: 14 Patients Share Their Experiences"
Ch.1: "Chapter 1", etc.
App.A: "Appendix A", etc.
Articles: References an item in the "Articles" section of the site.

Diabetes Management, Diabetes Treatment, Diabetes Education, Normal Blood Sugar Get Adobe Acrobat Now Tip: To save PDF's without viewing first, right-click the link and choose "Save Target As" from pop-up menu

This Web site and its contents are Copyright 2000-2009 by Richard K. Bernstein, M.D., Little, Brown & Company, and/or other copyright holders as may apply. No portion of this Web site may be reproduced in whole or in part without the express written consent of Little, Brown & Company and/or Richard K. Bernstein, M.D. and/or any other respective copyright holder(s).