AFIB Bleed Risk
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Paper by Phil Lucht (Rimrock Digital Technology, last updated Feb 16, 2015), second of two documents on AFIB risk. It estimates intracranial and gastrointestinal bleed rates for non-AFIB people of AFIB age, then the increases from warfarin and apixaban. It reviews the HEMORR2HAGES, HAS-BLED and QBleed stratification schemes, combines stroke and bleed risk in tables, and discusses INR control. An appendix adjusts published bleed data to the AFIB age profile. The author states he is not a physician.
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1 AFIB Bleed Risk
Phil Lucht
Rimrock Digital Technology, Salt Lake City, Utah 84103
last update: Feb 16, 2015
This is the second of two documents on AFIB risk -- the first concerns stroke risk. Both documents are located here: http://user.xmission.com/~rimrock/
.
The author is not a medical doctor and the unreviewed data and conclusions presented below are just for
readers curious about the origins of AFIB risk numbers. If you have AFIB, go see your doctor!
Summary.................................................................................................................................................. 2
1. What is the bleeding risk for non-AFIB patients in the AFIB-age population?............................ 3
2. What is the bleeding risk for AFIB patients taking warfarin or apixaban?.................................. 8
3. Stratification of bleeding risk: HEMORR 2HAGES ..................................................................... 12
4. Stratification of bleeding risk: HAS-BLED.................................................................................. .16
5. Stratification of bleeding risk: QBleed.................................................................................... ....... 20
6. Integration of Stroke Risk and Bleed Risk Data ............................................................................ 24
7. Warfarin and INR: Scylla and Charybdis..................................................................................... 27
Appendix A: Adjusting the Cox Bleed Risk Data to the AFIB-Age Population............................. 30
References.............................................................................................................................................. 36
Please read Section 1 of the AFIB Stroke Risk document for a brief discussion of strokes.
Figure numbers referenced to AFIB Stroke Risk are preceded by an S, such as S(2.5).
Abbreviations
: IC = intracranial AFIB = atrial fibrillation (and flutter)
GI = gastrointestinal OAC = oral anticoagulant CI = confidence interval NOAC = "new" oral anticoagulants like apixaban
2 Summary
The structure of AFIB
Bleed Risk parallels that of AFIB Stroke Risk and that is why the two documents
were kept separate.
In what follows, we often refer to "AFIB-age" peopl e or patients. Strictly speaking, we are referring
to the age profile shown in S(2.2) which has an av erage age of 73.5. The aver age age in the Apixaban
Study referenced below is 70. The incidence of bleedi ng events in this age group is of course much higher
than in the general population. The US for example h as an average age of 37. In fact bleed rates are a
dramatic and rather sobering exponential function of age as shown in (1.7) below. Section 1 attempts to calculate the risks of various ki nds of internal bleeding for the average AFIB-
age (but non-AFIB) person who takes no anticoagulant. For example, (1.10) shows that the risk of such a non-AFIB person having an intracranial bleed is about 0. 2 %/yr, while the risk of having a gastrointestinal
bleed is about 0.5 %/yr. A later calculation (2.7) concludes that the total risk for having a "major bleed" is about 1.4 %/yr among this AFIB-age but non-AFIB group. Section 2 investigates the bleeding risk for the average AFIB patient who takes oral anticoagulants to
reduce stroke risk. As shown in (2.4), (2.5) and (2.8 ), warfarin increases the rates of IC, GI and major
bleeds (over no-OAC rates) by factors 3.8, 1.7 and 2.3. For apixaban those factors are 1.6, 1.5 and 1.6, showing an improvement over warfarin particularly for IC bleeds. Sections 3, 4, and 5 summarize various stratification schemes which allow an AFIB patient to assess
his or her personal bleeding risk, which may be more or less than that of the average AFIB patient. These
strata schemes always include age as one of the factors. Section 6 then combines the average-patient stroke and bleeding risks reviewed in our two documents
into a single table (6.1) with main conclusions stat ed in (6.2). A second table (6.3) provides a sample
assessment for a particular AFIB patient with certain stratification scores.
Section 7 describes the need for warfarin-taking AFIB patient to control INR very carefully.
Appendix A does a conversion of average bleeding rates from a very broad population profile to the
profile that characterizes AFIB patients. References are provided in the final section, most of which are freely downloadable on the web.
3 1. What is the bleeding risk for non-AFIB patients in the AFIB-age population?
We shall treat two kinds
of bleeds in this section. First are intracranial bleeds which are extremely
serious, and second are gastrointestinal bleeds which are serious but less so.
There are four major kinds of intracranial (inside the skull) bleeds. The two kinds that occur inside the
arachnoid (web-like) membrane are classified as hemo rrhagic strokes. The other two kinds occur outside
the arachnoid membrane, and are known as subdural and epidural hematomas depending on whether
blood is pooled inside or outside the dura mater layer (the tough mother, a complicated etymology). Here are some useful pictures. The first two denote the various layers encasing the brain,
(1.1)
and here then are illustrations of the four kinds of intracranial bleeds:
49% 31% 24% 15-20%
(1.2)
These two are hemorrhagic strokes These occur outside the arachnoid layer
http://www.merckmanuals.com/home/brain_spina l_cord_and_nerve_disorders/stroke_cva/overview_of_hemo rrhagic_stroke.html#v739658
http://www.merckmanuals.com/home/injuries_and_poisoni ng/ head_injuries/intracran ial_hematomas.html#v740117
4 Intracranial bleeds are by far the most serious AF IB complications. The percentages shown above the
pictures give the 30-day mortality rates for each kind of bleed. The first three numbers are quoted from
the 2012 RE-LY trial (p 1512-13, see Refs), while the last is from the wiki page on epidural hematoma.
For comparison, the 30-day mortality for an ischemic stroke is around 13% (v arious web sources). To
restate the obvious, if you get an intracerebral bleed, your chances of living >30 days are about 50%.
In the Apixaban Study data presented below in (2.2), 0.47/0.80 = 59% of the warfarin patient intracranial bleeds are of the two kinds shown on the left abov e -- the hemorrhagic strokes. Among the apixaban
patients the percentage is 73%. The RE-LY paper concerning the NOAC dabigatran quotes the warfarin fraction as "about two thirds", supporting the Apixaban Study result. We shall assume that about 67% of intracranial bleeds are hemorrhagic strokes, accepting the two thirds RE-LY suggestion. In order to learn by how much oral anticoagulants ( OAC) increase the intracranial (IC) bleed rate of AFIB
patients, we wish first to know the IC bleed ra te for non-AFIB people in the AFIB-age population.
A crude calculation can be done as follows, making so me assumptions. For the overall population, about
13% of all strokes are hemorrhagic strokes and 87% ar e ischemic. We assume this is true as well for the
AFIB-age population. Since the non-AFIB but AFIB-age stroke rate is about 1.15 %/yr, as claimed in
S(2.5), we conclude that the hemorrhagic stroke rate is 1.15*.13 = 0.15 %/yr. Assuming also that
hemorrhagic strokes account for 67% of all IC bleeds (as noted just above), we would conclude that the IC bleed rate was .15 / .67 = 0.22 %/yr . To get a "second opinion" on this number, and also to obtain data for GI bleeds, we consult the following reference which is associated with the QBleed algorithm and website (see Sec 5 below).
Hippisley-Cox (epidemiology) and Coupland (medic al statistics) ("Cox Study", 2014) have studied upper
GI and intracranial bleed risk using an English database of 14 m illion patients at 753 general practices.
They used standard ICD-10 (International Classification of Diseases, 10th revision) codes to glean
information. They used a "derivation cohort" to devel op their model, and then a "validation cohort" to test
the model. The derivation cohort had 4.4 million patie nts having 16.4 million patient-years of analysis
(follow-up). The derivation cohort had 52,485 warfarin patients, but only 1,641 NOAC patients (drugs are
new). Patient age ranged from 21 to 99. Here then are the main results (for an average patient in the Cox Study) :
5
( 1 . 3 )
The first numeric column is number of bleeds, the second the number of person-years those bleeds arose from, and the last column is the adjusted rate per 1000 person-years. We can convert the results for the
"No anticoagulants" rows to our annual rate notation: Annual Upper GI Bleed rate for Cox Study population = .134 %/yr (1.4) Annual Intracranial (IC) Bleed rate for Cox Study population = .055 %/yr (1.5)
At first we are disappointed to find that the IC bleed rate is .055 %/yr, whereas our first opinion above was 0.22% /yr. However, the .055%/yr figure is for the Cox Study population which has the age profile (A.4) shown on the left below, whereas our AFIB-age population has the S(2.2) age profile shown on the
right :
(1.6)
Cox derivation cohort population AFIB-age population
The Cox paper also presents the following (relative) risk rate curves for IC bleeds and GI bleeds:
6
( 1 . 7 )
It is possible to compute the average IC and upper GI bleed rates for the two age profiles shown in (1.6)
using the data in (1.7). Since the Cox paper supplies absolute averages for its derivation cohort profile, we
can then deduce the absolute averag e for our AFIB-age profile using the ratio of the relative averages.
This task is carried out in our Appendix A and here are the results:
For non-AFIB patients in the AFIB-age range taking no OAC: intracranial bleed rate: Ratio = 3.89 rate = .055 * 3.85 = 0.212 % / yr upper GI bleed rate: Ratio = 2.74 rate = .134 * 2.70 = 0.362 % / yr (1.8) So our "second opinion" calculation for IC bleeds 0.21 is fairly close to our first calculation of 0.22. The
surprising closeness of these calculati ons is coincidental due to our ballpark number 67% used above, but
in general the two numbers will be close. We sh all use the 0.21 %/yr figure shown in (1.8).
Upper GI runs from the mouth to the duodenum, lower GI is from the small intestine on down, but small
intestine bleeds are rare, and lower GI is usually in terpreted as meaning colon and below. Here is some
data on the percentages of bleeds in the various areas:
http://www.fpnotebook.com/GI/Sx/GstrntstnlBldng.htm (1.9)
These percentages have large error bars, but we shall assu me that the ratio of upper GI bleeds to total GI
bleeds is 70%. Then based on (1.8), the total GI bleed rate from above would be .36/.70 = 0.51 %/yr.
We may compute the hemorrhagic stroke rate two different ways. By the first method noted a few
paragraphs above, using the 1.15 %/yr stroke rate from S(2.5) and th e 13%/87% ratio of hemorrhagic to
ischemic strokes from S(1.1), we obtain 1.15*.13 = 0.15 %/yr as our non-AFIB but AFIB-age
7 hemorrhagic stroke rate. By the second method, we use the warfarin result noted above that 67% of
intracranial bleeds are hemorrhagic strokes, and this th en gives .67* 0.21 = .14 %/yr, where the 0.21 is
from (1.8) above. Both methods give about the same r esult, and we shall use the former value 0.15.
Here then are the main results of this section:
For non-AFIB patients in the AFIB-age range taking no OAC: intracranial bleed rate: 0.21 %/yr // from (1.8) hemorrhagic stroke rate: 0.15 %/yr // paragraph just above
total GI bleed rate: 0.51 %/yr. // from (1.8) / 0.7 as noted above upper GI bleed rate: 0.36 %/yr. // from (1.8) (1.10) At this point we have no numbers for AFIB patients taking no OAC. They will appear later.
Comment
: As shown in (1.3), the Cox Study has some results for patients who took warfarin or NOAC's
(New Oral Anticoagulants) which included dabigatran, rivaroxaban, apixaban and phenindione. Because people take such blood thinners for reasons othe r than AFIB (valvular heart disease, deep vein
thrombosis, etc.), and because we don't really know the age distribution of these OAC patients within the
broad Cox-Study age range of 21-99, this data is not pa rticularly useful for our efforts. Even if it were
true that all bleeding arises from the OAC regardless of the reason the OAC is taken, the lack of an OAC population profile makes the data not useful. We sha ll deal with OAC effects on bleeding in the next
Section.
8 2. What is the bleeding risk for AFIB patients taking warfarin or apixaban?
We first
seek to learn the warfarin (or other OAC) bleeding risk for the average AFIB patient, then in
later Sections we ponder the stratification of bleeding risk with respect to factors like age, having had a
previous bleed, etc. We again use the 2011 Apixaban Study (ARISTOTLE) with its 18,201 AFIB patients
in two nearly equal size cohorts: apixaban and warfarin. Here are the conclusions of that report regarding bleeding, which is the "safety outcome" of that study: (average age 70 in both cohorts)
ISTH International Society on Th rombosis and Haemostasis TIMI Thrombolysis in Myocardial Infarction.
GUSTO Global Use of Strategi es to Open Occluded Coronary Arteries (2.1)
One's initial impression might be that the ISTH major bl eeding rate (see later) is partitioned into the three
categories as presented on the following three rows. A dding up event counts, one sees that this is a wrong
impression. The phrase "Other location" here mean s "location other than intracranial", and the
Gastrointestinal events are included in the Other location events. We find it helpful to reorganize this data
as follows :
A p i x a b a n
Warfarin
GI bleeds 0.76 %/yr • 36% 0.86 %/yr • 28%
non-IC and non-GI bleeds 1.03 %/yr 48% 1.41 %/yr 46%
total "Other Location" bleeds 1.79 %/yr • 2.27 %/yr •
hemorrhagic stroke 0.24 %/yr * 73% of IC 0.47 %/yr * 59% of IC other intracranial bleed 0.09 %/yr
0.33 %/yr
total intracranial bleed (IC) 0.33 %/yr • 15% 0.80 %/yr • 26%
total major bleed (ISTH) 2.13 %/yr • 100% 3.09 %/yr • 100%
Any bleeding 18.1 %/yr • 25.8 %/yr • (2.2)
9
Items followed by • are taken directly from the Safety Outc ome (2.1) above, while items followed by *
come from the Efficacy Outcome S(3.4). Unmarked numbers are then deduced from these numbers. The
data may be regrouped again as follows:
(2.3)
Our term "other major bleeds" means major bleeds that are neither intracranial nor GI. The items marked
by • are taken from (2.2) and then the "other major bl eeds" rate is obtained by subtraction. These last
numbers 1.04 and 1.43 differ slightly from those in (2.2) due to rounding error.
We now review the various kinds of bleeding.
Any Bleeding.
Each year a whopping 26% of warfarin patients have some kind of bleed (apixaban 18%),
though most of these bleeds are presumably minor such as white of the eye, bloody nose, bitten tongue, etc. Intracranial Bleeding
. Here are the numbers from the Apixaban Study (2.2) for this kind of bleed (for the
average AFIB patient), and we add a third line from (1.10) for an average AFIB-aged but non-AFIB person not taking anticoagulants :
(2.4)
The conclusion (last column) is that an average wa rfarin AFIB patient has a 3.8 times higher intracranial
bleed risk than a corresponding non-AFIB no-OAC person, and this factor is lowered to 1.6 for apixaban. Gastrointestinal Bleeding
. Again, the numbers from th e Apixaban Study are show n on the first two lines,
then the third line states our estimate from (1.10),
(2.5)
10 The conclusion is that an average warfarin AFIB patient has a 1.7 times higher GI bleed risk than a
corresponding non-AFIB person, and this f actor is lowered to 1.5 for apixaban.
Major Bleeding
The ISTH definition of "major bleed" used in the Apixaban Study is given by Schulman et al. (2004),
(2.6)
Item 2 in this list is quite a grab-bag. For the layman, the terms intra-cranial, intra-spinal, intra-ocular (inside the eyes) seem self explanatory. Pericardial re fers to bleeding into the pericardium sac that
surrounds the heart, possibly causing increased pres sure which can reduce heart output (acute cardiac
tamponade). Intra-muscular with compartment syndrom e refers to bleeding in a muscle structure which
increases local pressure enough to impede blood flow to muscles and nerves inside the structure.
The term retroperitoneal is more complicated. Strict ly it refers to organs th at lie outside (and behind)
the abdominal peritoneum membrane like the esophagus, kidneys, adrena l glands, ureters, bladder and
parts of the duodenum and colon. The liver, stomach, appendix and small intestines are not retroperitoneal
since they lie inside the peritoneum, but certainly a ma jor bleed of the liver would be counted as a "major
bleed". Certainly the liver would qualify as a critical area or organ, so this is accounted for in Item 2 by the words "such as". Item 3 would be triggere d in a major bleed regardless of location.
Notice that the ISTH definition does not mention hospitalization for the bleed as an and/or item, but one could assume that pretty much any bleed in items 1,2,3 would put a patient in a hospital. In the
HEMORR
2HAGES and HAS-BLED strata schemes discussed below, hospitalization is included as the
entire criterion or as an and/or criterion.
For the average AFIB-age person who does not have AFIB , we can use two of the numbers from (1.10) to
begin construction of a table as shown on the left below,
11
where x and y are unknown. On the two sides of (2.3) we see that "x" is 49% or 46% of the total. Picking
a number 47% which is a little weighted to the warfarin arm, we might then assume that for our AFIB-age
but non-AFIB people the rate of "other major bleeds" is 47% of the total. This then gives the situation
shown on the right above. But this says .21+.51+.47y = y or .72 = .53y so y = 72/53 = 1.36. It follows then that x = .47y = .47*1.36 = 0.64, and we arrive at this filled-in table,
( 2 . 7 )
In this slightly indirect manner, we arrive at a major bleed rate of 1.36 %/yr for our non-AFIB group, and we can then construct a table similar to (2.4) and (2.5) above for "major bleeding". The first two rates come from (2.3) and the third from (2.7),
(2.8)
The conclusion is that an average warfarin AFIB pa tient has a 2.3 times higher major bleed risk than a
corresponding non-AFIB person, and this f actor is lowered to 1.6 for apixaban.
12 3. Stratification of bleeding risk: HEMORR 2HAGES
A 2006 bleeding strata scheme (Gage et al.) is called HEMORR 2HAGES with this scoring system :
H Hepatic 1 liver problems
E Ethanol 1 in hospital drunk, delirium, hallucinations
M Malignancy 1 cancer O Older 1 ≥ 75
R Reduced platelet count 1
R
2 Rebleeding 2 hospitalized due to a previous bleed
H Hypertension 1 hypertension when uncontrolled (no #)
A Anemia 1 G Genetic factors 1 CPY 2CY polymorphism E Excessive fall risk 1
S Stroke 1 had a prior stroke (3.1)
Gage was also the lead author of the CHADS
2 effort described in our stroke document, and as with that
study the patient set was taken from the NRAF group (National Registry of Atrial Fibrillation). The
CHADS 2 NRAF set consisted of 1733 patients (mean age 81) not taking warfarin, whereas the
HEMORR 2HAGES NRAF set consists of 1604 patients (mean age 79) all taking warfarin (113 also took
aspirin, a fact we ignore). The study outcome was a hospitalized major bleed ( 67% GI, 15% intracranial,
18% other) with an ICD-9-CM code indicating hemorrhage. The bleed risk rates stratified by score are
shown in the "Bleeds per 100" column of this ta ble (presumably a "point-year" is a patient-year for
patients within a scoring point bin),
`
(3.2)
The maximum possible score is 12, but in the study the number of people with scores larger than 5 was
small, so the scores 5 through 12 are put into a single bin ≥ 5. The following graph shows the rates in the
last column of (3.2) along with the 95% CI error band,
13
(3.3)
We now follow the general method presented in the CHADS 2 discussion of our stroke risk document.
Using the same method which led to S(4.7), we compute the average score and major bleed rate as
follows:
(3.4)
Notice that we have replaced score bin ≥5 by a bin with score 6. The number in this box does not affect
the average rate 5.15, but does affect that average sc ore, and using 6 probably gives a better estimate of
the average score than 5 (since so me of the 87 patients with score ≥ 5 likely had scores > 5). Using the
average rate 5.15 from (3.4), we obtain this table in analogy with table S(4.9).
(3.5)
14 The ratios 1.00, 0.69 and 0.44 across the top come from the first ratio column of (2.8). The scale factor is
set to 0.6 in order to calibrate the table so the average rates match those shown in (2.8). A plausible
explanation for this scale factor is that the NRAF trial patients had an average age of 80, whereas the
Apixaban Study average age was 70 ( see rate curves versus age in (1.7) ).
The non-AFIB column is the model's risk rate for non-AFIB people in the AFIB-age population (who
are not taking anticoagulants). This should not be c onfused with data for AFIB patients who are taking
nothing as an anticoagulant. Presumably the major bleed ing risk for this AFIB group would be slightly
larger than that of the non-AFIB group due to hemorrhagic transformations as discussed in Section 1 of our stroke document. Here is a plot of the columns of (3.5), wher e the values at score 5 really mean for score ≥ 5:
Annual Major Bleed Rate HEMORR 2HAGES score → (3.6)
The plots show how anticoagulants increase the major bleed risk over the age-matched non-AFIB
background. In an attempt to model the intracranial bleed rates, we replace the .6 scale factor in (3.5) by .155 and
across the top we use the ratios from th e first ratio column of (2.4) to relate the different anticoagulants :
(3.7)
15
The scale factor causes the average rates in the last row to match those shown in (2.4).
Here is a plot of the columns of (3.7) showing IC bleed rate for various OAC choices, and again the rates for score 5 are really for score ≥ 5 :
Annual Intracranial Bleed Rate HEMORR 2HAGES score → (3.8)
The plots show how anticoagulants increase the intr acranial bleed risk over the age-matched non-AFIB
background. The negative aspect of warfarin is more dramatic here than in (3.6) for major bleeds.
Example : An AFIB patient on warfarin has a HEMORR 2HAGES score of 1 .
Major bleed rate is 1.5 %/yr, from table (3.5) or graph (3.6).
Intracranial bleed rate is 0.4 %/yr, from table (3.7) or graph (3.8) . (3.9)
16 4. Stratification of bleeding risk: HAS-BLED
The strata
method of the previous section had "t oo many letters" (and nob ody can spell hemorrhage
anyway) so Pisters et al. (2010) came up with a simpler scheme called HAS-BLED. Here is its scoring
system -- each item is one point (max score = 9 since there are two 2-point items) :
H Hypertension > 160 systolic if uncontrolled A Abnormal renal or liver (1 pt each) dialysis etc; cirrhosis etc. S Stroke ischemic stroke or TIA B Bleeding previous major bleed (needing > 2U transfusion, etc) L Labile INR in the 2-3 INR range less than 60% of the time E Elderly ≥ 75
D Drugs or alcohol (1 pt each) alc > 8 U/wk (> 4.4 US standard drinks per week) ( 4 . 1 )
The score is used to determine the annual risk rate for a major bleed. Pisters defined a major bleed in a
somewhat complicated way as a bleed which (requir ed hospitalization) and/or (caused a hemoglobin
decrease of .2 g/L) and/or (required a blood transf usion in the case the event was not a hemorrhagic
stroke). The hospital clause alone would seem to capture all IC bleeds and other serious bleeds.
In a 2011 paper Lip et al. apply this strata scheme to an AFIB database of 7,329 patients (mean age
71) from certain SPORTIF III and V trials. Of interest to us is the separate HAS-BLED application to the subset of the above database who we re taking warfarin, a total of 3,665 patients. The results for this
subset are shown in the last two columns below,
( 4 . 2 ) The rates shown in parentheses in the right column are obtained simply as ratios such as 44/1283 = 3.4%. Since it is not claimed that the trials were exactly 1 year long, we regard these only as relative rates. Due to the low patient counts in th e last two bins, we shall move these 23 patients and their 2 bleeds into
the score 4 bin, giving a bleed rate of 18/203 = 8.9% for the adjusted score 4 bin.
The following graph shows the rates in the last co lumn of (4.2) along with a 95% CI error band,
17
(4.3)
Since confidence intervals are not st ated in (4.2), we have generate d our own error band. Modeling the
bleed/no-bleed study as a Bernoulli trial (like a weight ed coin toss head/tail), the standard error of the
mean is given by the expression σmean = σ/N , where σ = p(1-p) is the standard deviation for a single
patient. Here p is the probability of having a bleed wh ich we identify with the rates given in the right
column of (4.2). The 95% confiden ce interval is then rate ± 1.96 σmean. These error bars are approximate,
just to give the reader a feel for the accuracy of the rate data represented by the red curve above.
The "hump" in the red curve at score 1 seems unusua l since the curve cups down at that point, which
is different from our other three curves S(4.4), S(5.3) and (3.3), but we presume the data is correct.
Using the same method which led to S(4.7), we com pute the average score and average major bleed rate
as follows:
(4.4)
As a second adjustment, we scale down the Lip study relative rates by factor .837 to cause the average
rates to be calibrated with rates from the Apixaban Study. Using the aver age rate 3.69 from (4.4), we then
obtain this risk table in analogy with table S(4.9).
18
(4.5)
Calibration checks:
• For the average rates row, the three rates match t hose shown in the first column of (2.8) which are
derived from the Apixaban Study (due to our scale factor)
• For lowest score = 0, the three HAS-BLED rates (0. 75, 0.52, 0.33) are close to but somewhat smaller
than the HEMORR 2HAGES values (1.14, 0.79, 0.50) for its lowest score = 0 as shown in (3.5). The bleed
count for this bin is quite small in bot h strata applications (4 and 7), so statistics are poor, error bars large.
Here is a plot of the columns of the above table:
Annual Major Bleed Rate HAS-BLED score → ( 4 . 6 )
19 In an attempt to model the intracranial bleed rates, we replace the above .837 scale factor by 0.217 and
use the first ratio column of (2.4) to relate the different anticoagulants :
(4.7)
Calibration checks:
• For the average rates row, the three rates matc h those shown in (2.4) which are derived from the
Apixaban Study (due to our scale factor).
• For lowest score = 0, the three HAS-BLED rates (0. 20, 0.08, 0.05) are close to but somewhat smaller
than the HEMORR 2HAGES values (0.29, 0.12, 0.08) for its lowest score = 0 as shown in (3.7). As noted
above, this could be a result of low statistics.
Here is a plot of the columns of the ab ove table for HAS-BLED score 0 through 4 :
Annual Intracranial Bleed Rate HAS-BLED score → (4.8)
Example : An AFIB patient on warfarin has a HAS-BLED score of 1.
Major bleed rate is 2.8 %/yr from table (4.5) or graph (4.6).
Intracranial bleed rate is 0.74 %/yr from ta ble (4.7) or graph (4.8). (4.9)
20
5. Stratification of bleeding risk: QBleed
QBleed is an algorithm
for computing a particular individual's intracranial and GI bleed rates. The
algorithm is developed in the paper of Hippisley-Cox and Coupland (2014) mentione d above in Section 1.
Rather that produce a mnemonic with lots of capital letters, they provide an open source algorithm for
computing bleed rates based on 21 "predictors". The algorithm is intended for all people, not just AFIB patients, and AFIB is just one of the predictors. Re sults are given with and without anticoagulation, so
anticoagulation does not appear in the list of predicto rs. Some predictors are discrete (sex) while others
have a continuum of values (body mass index).
(5.1)
The patient interested in personal risk ra tes enters data into a simple form at http://qbleed.org
and is given
a simple result. Here is an Example: ( one US "standard drink" equals 1.8 UK "units" of alcohol )
21
( 5 . 2 )
22
For this particular patient, here are the resulting annual bleed risk rates from QBleed:
Example (5.3)
And here are the corresponding average AFIB-age patient annual ra tes from our earlier models,
(non-AFIB, no OAC)
warfarin
upper GI bleed .36% (1.10) .60% // = 0.7*.86 from (1.9) and (2.2)
hemorrhagic stroke .15% (1.10) .47% (2.2) (5.4)
As expected, our healthier-than-average QBleed patie nt of (5.3) has lower rates on all four numbers
compared to the average patient of (5.4). Effects of alcohol and AFIB on bleeding risk
The Hippisley-Cox and Coupland paper discusses the influence of various factors on the two kinds of bleeding risk it considers. Here is an interesting item concerning alcohol's influence on bleeding risk (applied to the overall cohort of whom only a small fraction were taking anticoagulation):
( 5 . 5 )
23
( 5 . 6 ) For men, bleed risks drop slightly for daily alcohol consumption below 6 U/day (3.3 std drinks/day), but
then go up steeply for heavier use as shown. Women have a similar pattern, but being less massive the
penalty for the same alcohol abuse amount is higher.
The above clips also show the effect of having AFIB and having "treated hypertension". The penalty for
AFIB is a factor 1.36 for men and 1.17 for women, but these could be meaningless since it is likely that AFIB people in the study were taking warfarin which th en is the cause of the el evated risk, not the AFIB
per se . The ultimate answer is provided by the QBl eed algorithm which has a checkbox for AFIB.
24
6. Integration of Stroke Risk and Bleed Risk Data
We now present co
mbined data gleaned from both our documents concerning AFIB stroke and bleeding
risks. For our average AFIB patient, the risk rates are as follows: (notes follow)
Risks for Average AFIB Patient taking no OAC :
total stroke S(5.8) 4.50 %/yr 45% over 10 years
ischemic stroke 3.92 %/yr 87% S(1.1)
hemorrhagic stroke 0.59 %/yr 13% S(1.1)
intracranial bleed [ 0.59/.67] 0.88 %/yr 9% over 10 years
major bleed [1.36+(0.88-0.21)] 2.03 %/yr
Risks for Average AFIB Patient taking warfarin :
total stroke S(5.8) 1.62 %/yr 16% over 10 years
ischemic stroke 1.12 %/yr 69% S(3.4)
hemorrhagic stroke 0.50 %/yr 31% S(3.4)
intracranial bleed (4.7) 0.80 %/yr 8% over 10 years
major bleed (4.5) 3.09 %/yr
Risks for Average AFIB Patient taking apixaban :
total stroke S(5.8) 1.30 %/yr 13% over 10 years
ischemic stroke 1.04 %/yr 80% S(3.4)
hemorrhagic stroke 0.26 %/yr 20% S(3.4)
intracranial bleed (4.7) 0.33 %/yr 3% over 10 years
major bleed (4.5) 2.13 %/yr
Risks for the Average age-matched non-AFIB person (no OAC) :
total stroke S(5.8) 1.15 %/yr 11% over 10 years
ischemic stroke 1.00 %/yr 87% S(1.1)
hemorrhagic stroke 0.15 %/yr 13% S(1.1)
intracranial bleed (4.7) 0.21 %/yr 2% over 10 years
major bleed (4.5) 1 . 3 6 % / y r ( 6 . 1 )
25 Notes:
1. Although risk rates are displayed with 2 or 3 significant digits, their accuracy is in fact less than 1 digit. The fractional error in the above rates for our averag e AFIB patient is roughly ±10% with a 95% CI. The
rates given below in (6.3) for the stratified patient "J oe" have a fractional error on the order of ±30%. with
95% CI and perhaps ±15% with 68% CI. This subject is discussed in Section 7 of our stroke document. 2. The "total stroke" risk includes ischemic strok es, hemorrhagic strokes and systemic embolisms. The
last item is only about 6% of the total and we th ink of it as part of the ischemic stroke rate.
3. Hemorrhagic stroke is included in both the total st roke and major bleed numbers, so it is not correct to
add the total stroke and major bleed rates together. 4. The separate ischemic and hemorrhagic stroke rates are determined from the percentages shown of the total stroke rate number.
5. For AFIB patients taking no OAC, we estimate the intracranial bleed rate as the hemorrhagic stroke rate divided by 67% as suggested below (1.2). The majo r bleed rate is then estimated as the major bleed
rate for the non-AFIB person plus the increase in intracranial bleed rate due to the AFIB. A surprising result is that warfarin slightly lowers (or does not much alter) the intracranial bleed rate and
the hemorrhagic stroke rate, whereas intuition is that warfarin should raise these rates. A possible explanation is that this results from the OAC's dramatic lowering of total stroke rate, mostly caused by
AFIB emboli. This means a corresponding reduction in the transformed ischemic stroke rate including
transformations which are detected and those which ar e not (see Sec 1 of our stroke document). The effect
is even more dramatic for an AFIB patient going from no-OAC to apixaban. Main Conclusions for the Average AFIB patient
(but see Note 1 above)
If an average AFIB patient taking no OAC starts taking warfarin :
• Total stroke rate drops from 4.5 to 1.6 %/yr, a 64% reduction.
• The major bleed rate increases from 2.0 to 3.1 %/yr, a 52% increase.
• The intracranial bleed rate drops from 0.9% to 0.8%, a 9% reduction.
If an average AFIB patient taking no OAC starts taking apixaban :
• Total stroke risk drops from 4.5 to 1.3 %/yr, which is a 71% reduction.
• The major bleed risk increases from 2.0 to 2.1 %/yr, an 5% increase.
• The intracranial bleed rate drops from 0.9% to 0.3%, a 63% reduction. (6.2)
26 Here are the corresponding rates for our Example AFIB patient "Joe". From No te 1 above, the fractional
error in these rates is on the orde r of ±30% with 95% CI and ±15% with 68% CI so the triple-digit
notation grossly overstates the real precision.
stroke score
bleeding score
Joe : CHA 2DS2-VASc = 2 HAS-BLED = 1
Risks for Joe taking no OAC :
total stroke S(5.8) 2.13 %/yr 21% over 10 years
ischemic stroke 1.85 %/yr 87% S(1.1)
hemorrhagic stroke 0.28 %/yr 13% S(1.1)
intracranial bleed [ 0.28/.67] 0.42 %/yr 4% over 10 years
major bleed [1.25+ (0.42-0.19)] 1.48 %/yr
Risks for Joe taking warfarin :
total stroke S(5.8) 0.77 %/yr 8% over 10 years
ischemic stroke 0.53 %/yr 69% S(3.4)
hemorrhagic stroke 0.24 %/yr 31% S(3.4)
intracranial bleed (4.7) 0.74 %/yr 7% over 10 years
major bleed (4.5) 2.85 %/yr
Risks for Joe taking apixaban :
total stroke S(5.8) 0.61 %/yr 6% over 10 years
ischemic stroke 0.49 %/yr 80% S(3.4)
hemorrhagic stroke 0.12 %/yr 20% S(3.4)
intracranial bleed (4.7) 0.30 %/yr 3% over 10 years
major bleed (4.5) 1.96 %/yr
Risks for an age and health matched non-AFIB version of Joe (no OAC) :
total stroke S(5.8) 0.54 %/yr 5% over 10 years
ischemic stroke 0.47 %/yr 87% S(1.1)
hemorrhagic stroke 0.07 %/yr 13% S(1.1)
intracranial bleed (4.7) 0.19 %/yr 2% over 10 years
major bleed (4.5) 1 . 2 5 % / y r ( 6 . 3 )
Main Conclusions for Joe (but see note above)
If Joe taking no OAC starts taking warfarin :
• Total stroke rate drops from 2.1 to 0.8 %/yr, a 64% reduction.
• The major bleed rate increases from 1.5 to 2.9 %/yr, a 95% increase.
• The intracranial bleed rate increases from 0.4% to 0.7%, a 76% increase.
If Joe taking no OAC starts taking apixaban :
• Total stroke risk drops from 2.1 to .61 %/yr, which is a 71% reduction.
• The major bleed risk increases from 1.5 to 2.0 %/yr, a 34% increase.
• The intracranial bleed rate drops from 0.4% to 0.3%, a 29% decrease. (6.4)
27 7. Warfarin and INR: Scylla and Charybdis
As noted earlier, the purpo
se of an anti-coagulant like warfarin is to prevent a blood clot from forming in
the AFIBing heart which can break free and become an embolism in the brain, causing a stroke.
Warfarin-taking AFIB patients must keep their blood "thinness" within a certain band as described
below. A lab test is done periodically (perhaps monthly) which measures the ratio of the blood coagulation time of the warfarin patient (PT = prothrombin time) to that of a standard non-warfarin
person (PT
0). This ratio is called the PTR (prothrombin ratio) = PT/PT 0. In order to adjust for the fact
that different reagents were used in this lab test in different countries, this measure was replaced in the
1980's by the INR (international normalized ratio) = (PTR)α where exponent α adjusts for those reagents
and generally lies in the range 1 to 2. Monitored warfa rin patients are usually told their INR (perhaps 2.4)
and their PT ("pro time", perhaps 26.2 seconds).
Warfarin is a "vitamin K antagonist" and incr eases coagulation time by reducing the natural
coagulating effect of vitamin K in the blood. Many gr een vegetables such as sp inach, kale and broccoli
have large amounts of vitamin K and tend to lower INR. Alcohol often has the opposite effect, raising
INR. The warfarin patient must either decline all such affecting foods in the diet, or must maintain a near-
constant daily intake. This issue led to the devel opment of the NOAC drugs which do not require periodic
INR monitoring since they work at a different point in the body's coagulation pathway. The following graph taken from Singer et al. (2009, Fig 1A) demonstrates the reason that INR must
be carefully controlled. These authors did a retros pective study based on hospital IDC-9 codes with a
group of 9,217 warfarin AFIB patients from a larger cohort known as ATRIA taken from the Northern California Kaiser Permanente system. There were 364 ischemic strokes and 164 intracranial bleeds in this
group. The average age for patients with events was a bout 77 years. For each event, the INR value of the
patient was observed at hospital entry, the data was binned, and the result is the plot below (we simplify
this carefully done case-control study) :
(7.1)
The graphic contains two separate curves, and each on e is normalized to its value at the INR marking 2.0-
2.5. The graphs thus show the relative stroke and IC bleed rates presented as an odds ratio compared to
the normalization point which has odds ratio 1.
28 The main point is this: If INR goes too low, ischemic stroke risk increases rapidly (solid curve on the
left side). If INR goes too high, intracranial bleed risk increases rapidly (dashed curve on the right). For
example, if INR drops to the 1.4-1.7 range, ischemic st roke rate increases by a factor of 4 relative to its
value at the normalization point. And if INR rises to th e 3.6-4.5 range, the IC bleed rate rises by a factor
of 4 relative to its value at the normalization point. The warfarin AFIB patient is thus found navigating
between a rock and a hard place, Scylla and Charybdis.
We are going to add some annotations to the above graphic, but first one should be aware of a few
facts about the above curves :
• Thromboembolism (TE) includes both isch emic stroke and systemic embolism.
• The bins along the INR axis have different widths. Th e interior bins range from 0.2 INR units wide to
0.9 INR units wide. Although a non-AFIB person taking no OAC has an INR in the range 0.8 to 1.2, we
shall take that value to be 1.0, so the left bin h as a width of 0.3 INR units. We don't know the highest INR
which occurred in the study, but if it was 8, then the rightmost bin is 3.5 INR units wide. Therefore, the curves shown above are distorted from how they would appear with a linear INR axis.
• The thin vertical line segments show 95% confiden ce interval error bars. The left and right extremal
bars are particularly large and couldn't even fit into the graphic.
Having computed absolute stroke and bleed rates cali brated to the warfarin arm of the Apixaban Study,
we can convert the left and right odds-ratio axes in (7.1 ) to absolute annual rates for the average warfarin
patient in the Apixaban Study :
( 7 . 2 )
29 How the red annotations were developed.
1. First, the red numbers along the INR axis provi de a guideline for where particular INR values are
located. The axis is still very non-linear since we have not altered the picture. In particular, we have
roughly located the 2.0 and 3.0 INR values which are the boundaries of the official "therapeutic range".
One purpose of the Singer et al. paper was to verify that this range is the right target range to choose.
2. To arrive at the 9.2 stroke odds ratio estimate for INR = 1, we did a linear fit to the two black-square
points (1.55, 3.8) and (1.15, 7.6) and extended it to INR = 1. If the equation of this line is y = mx + b, the
slope m is then given by m = (y 1-y2)/(x1-x2) = (3.8-7.6)/(1.55-1.15) = - 9.75 and then b = y 1-mx1 =
18.9. Then for x = 1 we find that y = mx+b = (- 9.75)1 + 18.9 = 9.15 ≈ 9.2.
3. The INR = 1 point refers to AFIB patients w ho take no OAC. We found from the warfarin arm of the
Apixaban Study in S(3.4) that the percentages of IS, HS and SE are 69%, 29% and 6%. The total stroke
rate including all three for AFIB patients taking no OAC was shown in S(3.12) to be 4.5%. If we exclude
the hemorrhagic strokes (HS), we get a total absolute TE rate of (.69+.06) 4.5 = 3.38 ≈ 3.4 %/yr .
3. We then create an absolute linear rate scale on the left side of (7.2) which aligns at 0 and for which the
value 3.4 % aligns with the odds ratio 9. 2, as computed in items 3 and 2 above.
4. For the average warfarin patient in the Apixaban Study we find from S(3.4) that TE = IS+SE = 1.05 +
0.10 = 1.15 %/yr. This point is marked on the newly created left scale and a red line is extended right
through the black curve. Had the Study warfarin pa tients stayed exactly in the 2-3 INR range, the
resulting TE rate would have been about 0.4 %/yr (as read from (7.2)) instead of 1.15 %/yr. This suggests that the Study's average warfarin patient had INR < 2 some significant fraction of the time. The Study
claims that patients were in the 2-3 range 62% of the time. Sometimes people "prepare for the test", so
actual INR compliance might be less than measured.
5. We next create on the right side of (7.2) an absolu te scale for IC bleed rate calibrated to the Apixaban
Study warfarin arm. In (6.1) it is estimated that an AFIB patient taking no-OAC ha s an IC bleed rate of
0.88 %/yr (as explained in Note 5 following that figur e). In (7.2) this patient has INR = 1. We crudely
extend the dashed line leftward to INR = 1 and note the intercept y value. This is then carried over to the
right chart edge by a dashed red line and that vertical location is assigned the value 0.88. Using that value and the 0 location, the right side scale for IC bleed rate can be constructed as shown.
The bump in the dashed IC curve within the 2-3 INR region is probab ly not real and the dashed curve
is probably monotonic increasing moving to the right from the normalization point. If we ignore this bump, then a patient staying strictly in the 2-3 INR ra nge would have an IC bleed rate of about 0.5 %/yr.
The average patient in the Apixaban warfarin arm had an IC bleed rate of 0.80 %/yr from (2.2), so again
this increase is due to the fact that INR is > 3.0 some fraction of the time for the Apixaban Study warfarin
patients. Our left and right side absolute rate risk scales should be regarded as "ballpark accurate" since their
construction depends on so many assumptions, not to me ntion that everything in sight has large error
bars. Nevertheless, we feel that these rates are "rea sonable" for application to the warfarin arm of the
Apixaban Study. These figures make it abundantly clear why a warfarin patient should try to stay in the
therapeutic range, and if that is a problem, why they might switch to a NOAC and/or get ablated.
30
Appendix A: Adjusting the Cox Bleed Risk Data to the AFIB-Age Population
A population is partitioned into age bi
ns. For bin i, the fraction of the population in that bin is f i and the
average annual rate for some process (for example, the rate of intracranial bleeds for age bin i) is r i. Then
the average rate r av over the population is given by r av = Σifiri.
1. Intracranial Bleeds
It is our task to compute r
av(Cox age profile) and r av(AFIB-age profile) as just outlined. Once this is
done, we may write (since the ratio of relative ra tes must equal the ratio of absolute rates),
ravABS(AFIB-age profile) = r avABS(Cox age profile) * rav(AFIB-age profile)
rav(Cox age profile)
= r
avABS(Cox age profile) * Ratio Ratio = rav(AFIB-age profile)
rav(Cox age profile) (A.1)
where ABS indicates an absolute rate. We do this because r avABS(Cox age profile) is a result appearing in
the Cox paper in the rightmost column of their Tabl e 2 ( we use the No anticoagulants numbers only) :
( A . 2 )
As stated in this table, the presented results are "age standardized to the derivation cohort population"
which has the age profile shown in our table (A.4) below. This means that the numbers shown in the right
column in (A.2) apply to the average person in the derivation cohort. They do not apply to the average person in our AFIB-age distribution, which is why we have this Appendix A. Here then is the Cox Study
age distribution :
31
( A . 3 )
There are two small typos in this Table. The female no anticoagulant count is 2 210 508 (spacing) and the
first age bin should say 21-44 instead of 21-24. Notice th at the ratio of males to females is close to 1.
Here then is the Cox derivation cohort age distribution for participants mostly not taking anticoagulants:
( A . 4 )
The first four spreadsheet columns analyze the age distribution shown in (A.3). The last four columns
adjust the distribution by breaking each of the two initia l wide bins into two bins in proportion to the bin
widths. The resulting Cox age distribution is shown in the rightmost column and in the graph.
These adjustments have only a small ef fect on the results because the rates r i for the low bins are very
small, as shown in our next figures, taken from th e Cox Study: ( rates are relative, not absolute)
(a) Cox IC Bleed Rate, Fig 2 (p 19) (b) Cox GI Bleed Rate, Fig 1 (p 18)
( A . 5 )
32
The vertical axes in these two charts say "hazard ratio" because each displays its rate as compared to the
rate for a person of age 40. In other words, both gr aphs are normalized to have rate = 1 at age 40.
Here then are the spreadsheets that compute r av(AFIB-age profile) [left side] and r av(Cox age profile)
[right side] :
(A.6)
The bold numbers 12.24 and 3.15 are r av = Σifiri as noted at the start of this section, and then 3.89 is the
ratio of these two averages. The AFIB age fractions a ppear in our Fig S(2.2); r ecall that this AFIB age
profile comes from processing the 2006 AHA Guidelines plot Fig S(2.1). The Cox age fractions come
from the last column of the spreadsheet in (A.4). The IC bleed rates are taken from the plot (A.5a) as detailed in the blowup shown below in (A.9). We have then found that
Ratio = r
av(AFIB-age profile)
rav( Cox age profile) = 12.24
3.18 = 3.85 . (A.7)
Then the absolute intracranial bleed rate for non-AFIB no-OAC people of AFIB age is given by
ravABS(AFIB-age profile) = r avABS(Cox age profile) * Ratio = .055 * 3.85 = 0.212 % / yr (A.8)
where the .055 comes from (A.2) above. In the following figure, Fig (A.5a) is pasted into Visio, made transparent and then aligned with the Visio grid to allow a rough manual extraction of the rates fo r each bin which are used in the spreadsheets above.
For the rightmost bin, the bin height was selected to make the areas of the red and green triangles the same, using Visio's area tool. We have attempted to average the curves for women and men. This is of course an approximate graphical analysis.
33
( A . 9 )
34 2. Upper Gastrointestinal Bleeds
The process used here is identical to that outlined above for intracranial bleeds -- only the bleed rates are
different. Here is the pair of spreadsheets for this upper GI case:
(A.10)
Ratio = rav(AFIB-age profile)
rav( Cox age profile) = 4.22
1.56 = 2.70. (A.11)
Then the upper gastrointestinal bleed rate for non-AFIB no-OAC people of AFIB age is given by
r
avABS(AFIB-age profile) = r avABS(Cox age profile) * Ratio = .134 * 2.70 = 0.362 % / yr (A.12)
where the .134 comes from (A.2) above. Finally, here is the Visio image used to obtain the upper GI rates from Fig (A.5b),
35
( A . 1 3 )
36 References
Current publi
c-free-access web links are given for most papers. Where possible, Digital Object Identifier
links of the form doi = prefix/suffix are also given for use as http://doi.org/prefix/suffix. References are listed in the order first encountered in the our document. [ all links verified 13 Feb 2015 ]
_____________________________________________________________________________________
• RE-LY Trial
Hart RG et al. Intracranial Hemorrhage in Atrial Fibrillation Patients During Anticoagulation With
Warfarin or Dabigatran: The RE-LY Trial, Stroke . 2012;43:1511-1517.
[doi: 10.1161/STROKEAHA.112.650614]
http://stroke.ahajournals.org/content/43/
6/1511.full.pdf
_____________________________________________________________________________________
• Apixaban Study (ARISTOTLE)
Granger CB et al. Apixaban versus Warfarin in Pa tients with Atrial Fibrillation, N Engl J Med
2011;365:981-92. [doi: 10.1056/NEJMoa1107039 ]
http://www.nejm.org/doi/full/10.1056/NEJMoa1107039
[ A Supplement containing contributor names and event definitions appears also at the above link.]
_____________________________________________________________________________________
• ISTH Major Bleed
Schulman S and Kearon C. Definition of major bleedi ng in clinical investigations of antihemostatic
medicinal products in non-surgical patients, J Thromb Haemost. 2005 Apr;3(4):692-4.
[doi: 10.1111/j.1538-7836.2009.03678.x]
http://onlinelibrary.wiley.com/doi/10.1111/j.1538-7836.2009.03678.x/pdf
_____________________________________________________________________________________
• HEMORR 2HAGES
Gage BF et al. Clinical classification schemes for predic ting hemorrhage: Results from the National
Registry of Atrial Fibrillation (NRAF), Am Heart J . 2006;151:713-9
http://hematology.fi/system/files/HEMORRHAGES-score.pdf
_____________________________________________________________________________________
37 _____________________________________________________________________________________
• HAS-BLED
Pisters. R et al. A Novel User-Friendly Score (HAS-BLED) To Assess 1-Year Risk of Major Bleeding
in Patients With Atrial Fibrillation, CHEST 2010; 138(5):1093–1100. [doi: 10.1378/chest.10-0134 ]
http://journal.publications.chestnet. org/article.aspx?articleid=1045174
_____________________________________________________________________________________
• QBleed
Hippisley-Cox J, Coupland C. Predicting risk of uppe r gastrointestinal bleed and intracranial bleed with
anticoagulants: cohort study to derive and validate the QBleed scores, BMJ 2014;349:g4606
[ doi: 10.1136/bmj.g4606] http://www.bmj.com/content/349/bmj.g4606.full.pdf+html
and http://qbleed.org
_____________________________________________________________________________________
• Scylla and Charybdis
Singer DE et al . Should Patient Characteristics Influence Ta rget Anticoagulation Intensity for Stroke
Prevention in Nonvalvular Atrial Fibrillation? The ATRIA Study, Circ: Cardiovasc Qual Outcomes .
2009;2:297-304 [ doi: 10.1161/CIRCOUTCOMES.108.830232 ]
http://circoutcomes.ahajournals.org/content/2/4/297.full
_____________________________________________________________________________________