Copyright0 1976 American Societyfor Microbiology Printed in U.SA.
Computer-Assisted
Bacterial Identification Utilizing
Antimicrobial Susceptibility Profiles Generated by
Autobac
1
BRUCE H. SIELAFF,1 * EUGENE A. JOHNSON, AND JOHN M. MATSEN2
Division of Biometryand HealthInformationSystems,SchoolofPublic Health andDepartments of
Laboratory Medicine andPathology,Pediatrics,andMicrobiology, University ofMinnesota, Minneapolis, Minnesota 55455
Receivedfor publication 5 September 1975
A computerprogram was
developed
toidentify bacteria solely
onthe
basis of
their relative
susceptibility
tovarious
antimicrobial
agents. Asample
of 481clinical
isolates from nine of
the mostcommonly
isolatedgram-negative
groupswas
identified by the quadratic discriminant function technique. Various
combi-nations
of
antimicrobials
were tried, and one setof
18resulted
in amorethan
97%
correlation with conventional
identification procedures. The
antimicrobial
set
could be decreased
to 14,while
abetter
than
95%correlation with
the
conventional procedures
wasmaintained.
Human
errorand delay
inreportingresults,
in any
laboratory
science, areundesirable
features of the diagnostic
process. Human errorhas
been minimized
inother scientific and ad-.
ministrative
endeavors through the
useof both
automation
and computerization. Delay
inre-porting
results
inclinical
microbiology has been
addressed
by
mechanization and by rapid
meth-ods.
This
study outlines the
useof
asemi-automated mechanized device (Autobac
1)for
antimicrobial susceptibility testing, coupled
with
acomputerized
programfor utilizing the
data from the susceptibility profile for
organismidentification.
Since these methodologies
areaccomplished
inthe
spanof
3 to 5h, the
po-tential
usefulness of this
system isevidenced
by the
reduction
inhuman
errorand
accelera-tion
of
the reporting
processfor
both the
identi-fication of
species and results of antimicrobial
susceptibility
tests.The
conceptof
usingantibiotic susceptibilities
for
bacterial
identification
is
notentirely
new.In
1971,Gilardi
(5)found that susceptibility
profiles
coulP-tbe
used
toassist
inthe
identi-fication of
lactose-nonfermenting,
gram-nega-tive
bacteria. He used susceptibility
informa-tion,
for
16antibiotics, obtained from the disk
agar
diffusion method.
Sutterand Finegold
(11)used
susceptibilityX
profiles to place gram-nega-tiveanaerobic
bacilli
intofivedifferent
groups.Further
testing wasthen
required to completethe
identification.
A
Baysean
mathematicalmodel was used byXPresent
address:Pfizer,
Inc., Groton, Conn. 06340. 2 Present address: University of Utah, College of Medi-cine, Salt LakeCity, Utah 84132.Friedman and MacLowry (4) to classify bac-teria. Their data base contained probability
data
onthe susceptibility profiles of
31 speciesof
bacteria. This data
wascollected
over aperiod
of several
years.When 1,000 clinical
isolates
wereclassified by this method, there
was an 86% agreementwith
the
identificationobtained by conventional biochemical
proce-dures.
MATERIALS AND METHODS
Source of organisms. The bacteria used in this
study were obtained, where possible, from fresh
clinical isolatesfrom theclinical
microbiology
labo-ratory at the University of Minnesota Hospitals.
Within each bacterial classification, the cultures
were selected at random from the fresh isolates. Where sufficientfresh isolates were not
available,
stockcultures were alsoused. Hereagain, the
cul-tures wereselectedatrandom. Theorganismswere
identifiedinthe clinicallaboratory by conventional
biochemicalprocedures(2, 3).
Source of antimicrobial agents and media. The
antimicrobial agents, inthe form of elution disks
and diffusion disks, were supplied by Pfizer, Inc.
Thetubes of phosphate-buffered saline and tubes of eugonic broth to be usedinthe Autobacwere also
providedby Pfizer, Inc.
Method used fordeterminingsusceptibility
pro-files. The susceptibility of the bacteria to the
var-iousantibiotics was determinedthroughthe use of anAutobac 1(Pfizer, Inc.)(8, 10). The Autobac1isa
semiautomated antimicrobialsusceptibilitytesting system. It combines thespeed of automationwith
theflexibilityof manualprocedures. It isdesigned
to determine the susceptibility of a bacteria to a
panel of up to 12 antimicrobial agents
simultane-ously.The result for each antimicrobialis anindex
of susceptibility called the "light scatter index" 105
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(LSI). The index runsfrom 0.00 (resistant) to 1.00
(susceptible)in incrementsof0.01.Thetestresults, except for certain slow-growing organisms, are
availablewithin 3to5ihafter the test isbegun. It is the LSI values that are used in the following
method.
Statistical technique used for identification. Identification isaccomplishedbymeansofa
multi-variatestatisticaltechnique knownasthe quadratic
discriminant function. The quadratic discriminant
function is basedonthe multivariate normal model.
Twoadjacent, intersecting multivariate normal
dis-tributions havea pointof equal probability inthe
overlapregion. This pointofequal probability can
beusedasaboundaryforclassification. To classify anindividual, all thatisnecessary istodetermine
onwhich sideof the boundarytheindividual falls.
Thisequi-probability boundaryminimizes mis-clas-sification,assumingthat thesizeof the populations
arebothapproximately equal.Ifthetwopopulations
areofgreatly different size, thentheproportion of
each populationthat ismis-classifiedwillbe
mini-mized, but the total number ofmis-classifications
willnotbe minimized. An adjustment for the
differ-enceinpopulationsize would havetobemade. The procedure begins by computing the
covari-ancematricesforthedifferentgroups.The formula forcalculating the elements of the covariance
ma-trix isthestandard covarianceformulaasfollows:
n n n
n xikXjk Xik E Xjk
si k=1 k=1 k=1
n2 -1
adrj n2-n 1
where
sx.1.
is the covariance between variables xiandxj(wheni=j,the formulareducesto that of the
variance of variablexi)andnis thenumber of
obser-vations onvariablesxi andxj(this number is the
samefor bothxiandxj;itrepresentsthe number of
individualsinthe dataset).These matrices contain the variances and covariances forthedifferent vari-ables in eachgroup.
Alsocalculatedaremeanvectorsfor each group.
They containthe means for the differentvariables ineachgroup.Ifthesetof variablesused for classifi-cation ischanged,thena newsetof matrices must be constructed. These matrices will be constructed usingonlythe LSI valuesfor those variablesinthe newvariableset.
For classifying an individual into one of NG groups,thefollowingfunctioniscalculated for each group:
NV
f(X)i =pi(2rr) 2
JSI-
1/2 e 2 (2) wherepicanbe either theproportionof thesampleingroupi ortheprior probabilityofgroupi;NV is the number ofvariables;
ISil
is the determinant of thecovariancematrix forgroupi;qi =(X -xi)'S'-'(X -xi),whereXis the vector of LSI values forthe
organismtobe classified; x;is the meanvectorfor
theithgroup; ' meansthe matrixtranspose;andSi-'
is the inverse of the covariance matrix for the ith
group.Itcanbeseenthatequation2withoutthepi
is justthe probability density function for the multi-variate normalmodel.
When this function has been computed for all groups, the group with the greatestvalue forftX)is selected asthe groupidentification for the unknown organism. In actual practice, since the relative mag-nitude, used for comparison between groups, is im-portantrather than the actual value, the constant factorinvolving ir iseliminated from the calcula-tions.
Inthe real world environment, most multivariate distributions are not normal. Fortunately, the quad-raticdiscriminant function procedure is very robust. Verygood classification rules can be generated for populations that are very nonnormal. For further discussion ofmultivariate normality and the quad-ratic discriminant functions, see Anderson (1), Grams et al. (6, 7), and Michaelis (9).
RESULTS
Atotal of 31
antimicrobial
agents wereinves-tigated. Because multipleconcentrations of
cer-tain agents were used, a total of 48 possible
variables
(Table 1) were examined in the courseof these studies.
Many ofthesevariables
wereeliminated because they
gave no informationuseful
for differentiation. Most of the strains ofall
groups wereeither
all susceptible or allresistant to the antimicrobial at that
concentra-tion.
Other
variables provided redundantinfor-mation (the sameinformation as another
varia-ble)
andcould,
therefore, beeliminated. Table
2shows
the subset ofthe
total variable set thatshowed the
mostpromise.The antimicrobials were tested against a
sample of
481bacterial isolates. The
composi-tionof this sample
isshown
inTable 3.These
results
wereused
toconstructthe
matricesused
for classification. When the
481isolates
inTa-ble
3wereclassified according
tothe
18antimi-crobials
inTable
2,there
wasgreater than 97%agreement
with the
identification arrived
atby
the clinical
laboratory
by conventional
identifi-cation
procedures. These results
canbe
seen inTable
4.Nearly
80%of the
disagreements
con-sisted
oforganisms
identified as Citrobacter orEnterobacter by the clinical laband something
else
by
thesusceptibility profile.
These twogenera were
consistently
found tobe the mostdifficult
toidentify.
An attempt was made to decrease the
num-berof variables to a minimumwithouta
large
sacrifice in percentage of agreement. Various
subsets of
different
sizes of the 18 variablesweretried. Table 5 shows the results ofa
partic-ular subset of 14 variables. There is a loss in
percentage of agreement of less than 2%. As the
number of variables was
decreased
below 14,thepercentage
began
todrop
rapidly.
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COMPUTER-ASSISTED IDENTIFICATION 107 TABLE 1. Antibioticsinvestigated
Agent Disk
mass|
Agent Diskmass Agent Disk massAgent
~~(,Lg)
Aet(jtg)
Aet(mtg)
Ampicillin 3.6 Kanamycin 5.0 Penicillin G 0.2a
Bacitracin 18.0a Kanamycin 18.0 Penicillin G 2.0a
Carbenicillin 50.0 Lincomycin 2.0 Penicillin G 10.0a
Carbenicillin 120.0 Methenamine 1.0b PolymyxinB 12.5a
mandelate
Cephalothin 15.0 Methacycline 30.0 PolymyxinB 50.0a
Chloramphenicol 5.0 Methicillin 5.0 PolymyxinB 300.0a
Clindamycin 2.0 Nafcillin 1.0 Streptomycin 2.0
Cloxacillin 1.0 Nalidixicacid 5.0 Streptomycin 10.0
Colistin 2.0 Nalidixic acid 15.0 Streptomycin 20.0
Colistin 13.0 Neomycin 5.0 Tetracycline 0.5
Doxycycline 0.5 Neomycin 20.0 Tetracycline 1.5
Doxycycline 1.6 Nitrofurantoin 15.0
Trimethoprim/sulfa-
1.25methoxazole 23.75
Erythromycin 2.5 Novobiocin 5.0 Vancomycin 10.0
Erythromycin 15.0 Novobiocin 30.0 Vancomycin 30.0
Furizolidone 100.0 Oleandomycin 6.0 Viomycin 2.0
Gentamicin 9.0 Oleandomycin 15.0 Viomycin 10.0
aMass measured in units.
bMass measured inmilligrams.
TABLE 2. Antibiotic subset
Disk Disk
Agent mass Agent mass
(ILg)
(Mg)
Ampicillin 3.6 Kanamycin 5.0
Bacitracin 18.0a Methenamine 1.0b mandelate
Carbenicillin 50.0 Nalidixic acid 5.0 Carbenicillin 120.0 Neomycin 5.0
Cephalothin 15.0 Nitrofurantoin 15.0
Colistin 2.0 Novobiocin 30.0
Colistin 13.0 Polymyxin B 50.0a Erythromycin 15.0 Streptomycin 10.0 Furizolidone 100.0 Tetracycline 0.5
aMass measuredinunits.
bMass measured inmilligrams.
tical
purposes,therefore, that
setof
14 varia-blesshown
inTable
5appears torepresentthe
minimum
subset of the antimicrobials studied
to
date that
iscapable of
providing
ahigh level
of agreement with
conventional identification
procedures.
DISCUSSION
This
study was undertaken to determine thefeasibility of
usingsusceptibility
profiles for
theidentification
ofbacteria. Within the scope of thestudy,
thisobjective
was successfullyac-complished; the
feasibility of this
method wasproved. To
preventdilutionof
effort in afeasi-bility study,
itwasnecessary tolimit
thenum-ber
ofgroups studied.Gram-negative
bacteriawere
focused
onforseveral reasons. First, sinceTABLE 3. Composition of sample Organism No. oforganisms
CITROBa 50
ENTEROB 48
ECOLI 75
HEREL 35
KLEB 59
PROTMIR 49
PROTOTH 51
P. morganii (19t
P.rettgeri (17)
P.vulgaris (15)
PSEUDO 62
P. aeruginosa (35)
P.
fluorescens
(15)P. maltophilia (12)
SERRAT 52
aCITROB,Citrobacter; ENTEROB, Enterobacter;
ECOLI,Escherichiacoli; HEREL,Herellea; KLEB,
Klebsiella; PROTMIR, Proteus mirabilis;
PRO-TOTH, indole-positive Proteus; PSEUDO,
Pseudom-onas;SERRAT, Serratia.
bNumbersinparenthesesnotincludedintotalsof organismstested.
the Gram
stain isfairly quick
andeasy toper-form, differentiation ofthis group can be
ac-complished with relative ease.
Second,
sincethe members of this group are
generally
themost difficult to identify, they would provide
thegreatest test for the
proposed
identificationsystem.
Lastly,
gram-negative
bacteriacom-prise
the
vastmajorityof
organismscurrently
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TABLE 4. Group affiliation bysusceptibility profile and conventional procedures -18 variablesa
Groupaffiliationby susceptibilityprofile
Groupaffiliation by conven- X :
tionalprocedures 0X E
z 0 p0
CITROB 45 2 2 0 1 0 0 0 0
ENTEROB 4 43 1 0 0 0 0 0 0
ECOLI 0 1 73 0 0 0 0 0 1
HEREL 0 0 0 35 0 0 0 0 0
KLEB 0 0 0 0 59 0 0 0 0
PROTMIR 0 0 0 0 0 51 0 0 0
PROTOTH 0 0 0 0 0 1 48 0 0
PSEUDO 0 0 0 0 0 0 0 62 0
SERRAT 0 0 0 0 0 0 0 0 52
aSee Table 2. Percentage of agreement between susceptibility profile and conventional procedureswas 97.3%.
b Forabbreviation, see Table 3.
TABLE 5. Group affiliation bysusceptibility profile and conventional procedures -14 variablesa
Groupaffiliationby susceptibility profile Groupaffiliationbyconven- m
tionalprocedures b °
u w
CITROB 42 4 2 0 1 0 1 0 0
ENTEROB 2 44 2 0 0 0 0 0 0
ECOLI 1 1 72 0 0 0 0 0 0
HEREL 0 0 0 35 0 0 0 0 0
KLEB 0 1 1 0 57 0 0 0 0
PROTMIR 0 0 0 0 0 51 0 0 0
PROTOTH 0 0 0 0 0 1 48 0 0
PSEUDO 0 0 0 0 1 0 0 61 0
SERRAT 0 1 0 0 0 0 1 0 50
a Variables included ampicillin, bacitracin, carbenicillin 50 and 120, cephalothin, colistin 2 and 13, erythromycin 15, kanamycin 5, methenamine mandelate, neomycin 5, nitrofurantoin, novobiocin 30, and tetracycline0.5. Percentage of agreement with conventional procedures was 95.6%.
hForabbreviations, see Table 3.
identified
inthe clinical
microbiology labora-
increased.
Additional gram-negative
genera, astory. well as gram-positive genera, will have to be
As with most feasibility studies, questions added. Itwould also be
extremely
valuable ifarose
during
the course ofthe
study. The
princi- morespeciation
withinthe genera could also bepal
questionregarded
the alteration ofthe
sus-accomplished.
These are areas that needfur-ceptibility profile due
toacquired
resistance. therinvestigation.
Work iscurrently
progress-This problem
was not encounteredduring
theing
in ourlaboratories
to address theabove-courseof the
study,
butnonetheless, the
spector mentionedpoints.
Alarge
number ofnon-anti-of
mis-identifications due
tothis
causeremains. biotic chemicalcompounds
arebeing
examinedAcquired
resistance occursbecause
resistant for theirability
todifferentiate bacterialgroupsmutants are selected for
by
widespread
useofby
differential inhibition ofgrowth.
One of thean antimicrobial agent. This resistance can criteria for selection is that the
compound
notthen
be
transferredthrough
rfactors.
becommonly
used in the clinicalsetting
toObviously,
tohave apractical identification
minimizethepossibility
ofacquired
resistance.system, the number of groups includedmustbe If bacteria donot
normally
encounteranagent
108
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COMPUTER-ASSISTED BACTERIAL IDENTIFICATION
in
their environment,
acquired
resistanceshould
not become aproblem.
We have also morethan doubled the number
of bacterialgroups
being studied,
bothby
additional generaand increased
speciation. It is our intention toincrease
the number
of groups
even further.In
summary, this study has shown thatiden-tification
of bacteria
using their relativesus-ceptibility
to various antimicrobial agents is apracticable approach.
Ifthesystem
is toproveusable
inthe
clinical setting, though,
there arequestions
that must be addressed and alarge
amount
of additional
work that must beper-formed.
ACKNOWLEDGMENTS
We wish toacknowledgethe staff of the clinical microbi-ology laboratories at theUniversityof MinnesotaHospitals for their cooperation andtechnicalskill.
Wewish tothanktheBiotechnologyResources Branch of the National Institutes of Health whocontributedsupport forthe computer resourceattheUniversityof Minnesota where the data was processed.
This study was supported by a research grant from Pfizer, Inc.
LITERATURE CITED
1. Anderson, T. W. 1958. Anintroduction of multivariate statistical analysis. John Wiley&Sons, Inc., New York.
2. Blair, J. E., E. H. Lennette, and J. P.Truant (ed.). 1970.Manual ofclinical microbiology.American
Soci-etyfor Microbiology, Bethesda, Md.
3. Edwards, P. R., and W. H. Ewing. 1955. Identification of enterobacteriaceae, 2nd ed. Burgess Publishing Co., Minneapolis,Minn.
4. Friedman, R., and J. MacLowry. 1973. Computer iden-tification ofbacteria on the basis of their antibiotic susceptibility patterns. Appl. Microbiol. 26:314-317. 5. Gilardi,G. L. 1971. Antimicrobial susceptibility as a
diagnostic aid in the identificationof non-fermenting gram-negativebacteria. Appl.Microbiol. 22:821-823. 6. Grams, R. R., E. A. Johnson, and E. S. Benson. 1972. Laboratory dataanalysis system: section III-multi-variate normality. Am. J. Clin. Pathol. 58:188-200. 7. Grams, R. R., E. A. Johnson, and E. S. Benson. 1972.
Laboratory data analysis system: section IV-multi-variatediagnosis. Am. J. Clin. Pathol. 58:201-207. 8. McKie, J. E., Jr., R. J. Borovoy, J. F. Dooley, G. R.
Evanega, G. Mendoza, F. Meyer, M. Moody, D. E. Packer, J. Praglin, and H. Smith. 1975. Autobac 1-A 3-hour automated antimicrobial susceptibility sys-tem. II. Microbiological studies. In C. Heden and F. Illeni (ed.), Automation in microbiology and immu-nology. John Wiley & Sons, Inc., NewYork. 9. Michaelis, J. 1973. Simulation experiments with
multi-ple group linear and quadratic discriminant analysis. In T. Cacoullos (ed.), Discriminant analysis and ap-plications. Academic Press, Inc., New York. 10. Praglin, J., A. C. Curtiss, D. K. Longhenry, and J. E.
McKie, Jr. 1975. Autobac 1-A 3-hourautomated anti-microbial susceptibility system. I. System descrip-tion. In C. Heden and F. Illeni (ed.),Automation in microbiology and immunology. John Wiley & Sons, Inc., New York.
11. Sutter, V. L., and S. M.Finegold. 1971. Antibiotic disc susceptibilitytestsfor rapid presumptive identifica-tionof gram-negative anaerobic bacilli. Appl. Micro-biol. 21:13-20.
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