Monday, February 23, 2015

What is the probability that you are NOT diabetic if your fasting blood glucose is 110-126 mg/dl?


Often I hear from readers who have changed their diets and lifestyles toward a more evolutionarily sound direction () that their fasting blood glucose (FBG) readings have gone up. Frequently numbers in the range 110-126 mg/dl (6.1-7 mmol/l) are mentioned.

If you have a FBG reading of 110-126 mg/dl (6.1-7 mmol/l) very likely your doctor will tell you that you are either diabetic or well on your way be becoming diabetic.

Diabetes is a condition that in humans is most frequently associated with damage to the beta cells in the pancreas, significantly impairing insulin secretion. With limited insulin, glucose levels tend to go up, leading to high FBG levels and high glucose peaks after consumption of carbohydrates. The latter, high glucose peaks, appear to be particularly damaging when happening regularly over time.

What is the probability that you are NOT diabetic with this FBG reading?

I put together the table below, based on data from a widely cited meta-analysis () conducted by the research group called The Emerging Risk Factors Collaboration. It shows the distribution of FBG levels in urban settings among individuals who do not have diabetes.



The numbers in this table are fairly consistent with those from various other surveys of large numbers of individuals in urban settings.

The study mentioned above also tells us that the incidence of diabetes in urban populations is in the neighborhood of 6.8 percent. This may not sound like much, but as disease incidences goes, it is very high – approximately 1 in every randomly selected group of 15 people has diabetes.

The vast majority of those diagnosed will have diabetes mellitus type 2, which tends to develop over time and be associated with the metabolic syndrome ().

We know from Bayes' theorem, which is a fundamental element of the increasingly popular Bayesian statistics, that the probability of an event A given that an event B has occurred [denoted P(A|B)] is given by:

P(A|B)=P(B|A)*P(A)/P(B).

In the equation above, P(B|A) is the probability of event B given A, P(A) is the probability of event A, and P(B) is the probability of event B.

To answer the question posed in the title of this blog post, we need to calculate the probability that a person will have no diabetes given that he or she has a fasting blood glucose of 110-126 mg/dl.

Replacing A and B in the equation above with “NoDiabetes” (short for not having diabetes) and “FBG=110-126 mg/dl” respectively, we arrive at the formula to calculate the probability that answers the question:

P(NoDiabetes|FBG=110-126 mg/dl)=P(FBG=110-126 mg/dl|NoDiabetes)*P(NoDiabetes)/P(FBG=110-126 mg/dl).

From the table above we know that P(FBG=110-126 mg/dl|NoDiabetes)=7 percent. From our previous discussion, we know that P(NoDiabetes)=(100-6.8)/100 =93.2 percent.

Finally, the study tells us that P(FBG=110-126 mg/dl) is 9.1 percent. This includes individuals with diabetes (2.1 percent) and without diabetes (7 percent).

With these numbers, we can calculate the probability that a person will have no diabetes given that he or she has a FBG of 110-126 mg/dl:

P(NoDiabetes|FBG=110-126 mg/dl)=0.07*(1-0.068)/0.091=0.72.

That is, if your fasting blood glucose is in the 110-126 mg/dl range (6.1-7 mmol/l) then the probability that you DO NOT have diabetes is 72 percent. It would be much safer to bet that you do not have diabetes than that you do, even at that relatively high range.

Surprising eh!?

The above discussion not only highlights the lack of reliability of fasting blood glucose levels for diabetes diagnoses in the 110-126 mg/dl range (6.1-7 mmol/l), but also begs the question – what could cause high fasting blood glucose levels in healthy individuals?

Some of the folks I heard from have gone through insulin sensitivity tests (see, e.g., ), and were found to be insulin sensitive (in at least one case, highly sensitive), even though their baseline glucose levels are generally high. This goes against the possible speculation that they are prediabetics well on their way to becoming diabetic.

One possibility has been discussed in a previous post, which also mentions what could happen with HbA1c levels ().

16 comments:

LeonRover said...

Gosh, Ned,
Thanks.

It's really nice to see an old-fashioned risk and distribution analysis applied to "non risk of". :) :)

One can be diabetic even tho' FBGs are normal.

To your knowledge has a similar study been done on LDL-C levels.

Sláinte

LeonRover

Evinx said...

Very interesting.
What tests would you order for determining if one is diabetic? A!C?
FBG over a period of time? Post Prandials? Metabolic Syndrome based on NMR or VAP?
I eat ~50 carbs/day + 60-80 grams protein + usually have FBG of 105 - 115. So wondering.
Interesting, last nite I had 77 glucose level but work up with 105. do you think this is a GH effect?

thanks for a great blog post

David Isaak said...

Very slick indeed.

You really ought to dress it up a bit and publish it in a medical journal. If not a conventional med journal, then PLOS Medicine?

Ned Kock said...

Thanks Leon.

Ned Kock said...

Evinx, the "gold stardard" is the hyperinsulinemic euglycemic clamp.

Ned Kock said...

Thanks David. I keep being told that!

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Anonymous said...

I'd like to make a point about the logistics of getting a fasting blood sugar reading. When I get one, it's in the morning before I eat anything. I leave the house and drive in traffic for about 15 minutes and then walk in and wait another 10 or 15 minutes before I get my blood taken. During that time, I guess the cortisol caused my blood sugar to go up, perhaps from the mild stress of driving.

I experimented once where my BS reading at home was 96. Then when I got to the lab, I took my own reading again, and it said 116. Even though I hadn't eaten anything yet. And of course the lab showed something like 120 when I got the results back later. I guess my point is, these lab numbers all have a context to them. Am I really pre-diabetic, or is it a cortisol issue?

Charles Grashow said...

Well - on my last blood test fasting glucose was 83 and A1C was 5.7%

Anonymous said...

kudo, concise & clear. you're a scientist!

perhaps you could composite the table for all others FBG values?

cheers,

Jade Graham said...

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