Quantitative Risk Assessment Relating to the Inadvertent Presence of Peanut Allergens in Various Food Products

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    International Food Risk Analysis Journal

    Quantitative Risk Assessment Relatingto the Inadvertent Presence of PeanutAllergens in Various Food ProductsRegular Paper

    Loup Rimbaud1, Fanny Hraud1, Sbastien La Vieille2,Jean-Charles Leblanc1 and Amlie Crpet1,*

    1 Risk Assessment Department (DER), French Agency for Food, Environmental and Occupational Health Safety (ANSES), Maisons-Alfort, France2 Bureau of Chemical Safety / Food Directorate, Health Canada, Ottawa, ON, Canada* Corresponding author E-mail: [email protected]

    Received 14 Dec 2012; Accepted 12 Apr 2013

    DOI: 10.5772/56646

    2013 Rimbaud et al.; licensee InTech. This is an open access article distributed under the terms of the CreativeCommons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use,distribution, and reproduction in any medium, provided the original work is properly cited.

    Abstract Since 2005, European food regulations require

    majorallergens, includingpeanut, tobedeclaredon the

    label where the allergen is intentionally present in the

    food. However, even if not mentioned in the list of

    ingredients,peanutallergenmaybeinadvertentlypresent

    inalargerangeofpackagedfoodandconsequentlymay

    affectmanypeanutallergicindividuals.

    Thiswork

    is

    an

    exercise

    in

    quantifying

    the

    allergic

    risk

    forpeanutallergicindividualsinFrancewhenexposedto

    foodproductsthatmaycontainlowlevelofpeanutsdue

    tocrosscontamination.Thisquantification isbasedona

    probabilistic approach publishedby Rimbaud et al. in

    2010 (Rimbaud et al. 2010). Foodproducts analysed for

    the possible presence of peanut traces in scientific

    literature were selected. For each foodstuff, the allergic

    risk associated with their consumption was estimated

    using the French individual food consumption survey,

    representative of the general French population. An

    internet survey on the attitudes of peanutallergic

    individualstoward

    food

    precautionary

    labelling

    was

    conducted.Forthreefoodstuffs,theallergicriskwasthen

    refined integrating the information on specific food

    behavioursofFrenchallergicindividuals.

    Considering themean probability, inadvertent presence

    of peanuts was identified in 20% to 37% of products.

    Adultswereexposed toupto12.5mgofpeanutprotein

    on 97.5% of their eating occasions. The mean risk of

    reaction ranged from 0.2% to 2.4%. Considering eating

    occasionsforalltheproducts,1.5%ofthepeanutallergic

    adultswouldhaveatleastoneallergicreactioninaweek.

    In undertaking this modelling exercise, we have

    demonstrated the benefits of integrating all available

    informationtounderpindecisionmakingintheareaoffood

    allergencrosscontamination.Wehavealsohighlighted the

    need to generate more data to further refine the risk

    assessmentforthebenefitofallergicconsumers.

    Keywords Allergen Exposure, Food Risk Assessment,

    Peanut Allergy, Precautionary Labelling, Statistical

    Modelling

    1Loup Rimbaud, Fanny Hraud, Sbastien La Vieille, Jean-Charles Leblanc and Amlie Crpet: Quantitative Risk

    Assessment Relating to the Inadvertent Presence of Peanut Allergens in Various Food Products

    www.intechopen.com

    ARTICLE

    www.intechopen.com Int. food risk anal. j., 2013, Vol. 3, 3:2013

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    1.Introduction

    Inwesternized countries, food allergies are estimated at

    levelsup to56% foryoungchildrenand34% foradults

    (Zuberbieretal.2004;Osterballeetal.2005;Lucciolietal.

    2008;Venter

    et

    al.

    2008).

    InFrance,

    food

    allergy

    affects

    approximately3.2%ofthepopulation,i.e.nearly2million

    people (Kanny et al. 2001). Among the different food

    allergens,peanutisthemostcommonlyreportedcauseof

    severe and fatal allergic reactions (e.g. Bock et al. (2007)

    report16fatalitiesfrompeanut,followedbytreenuts,milk

    and shrimp). Peanut is associated with half of food

    anaphylaxis cases and themajority of consequentdeaths

    (Ranc and Bidat 2000; Werfel 2008). Furthermore, the

    elicitingdoseofpeanutproteinforanallergicreactioncan

    beextremelylow,aslittleas1mg(Hourihaneetal.2005).

    ThepeanutallergyprevalenceinFranceisestimatedtobe

    0.3%of

    adults

    aged

    18

    to

    79

    years

    and

    0.6%

    of

    children

    aged3to17years,combiningtheobservationsofRancet

    al.(2005)andMoneretVautrin(2008).

    The European Directive 2003/89/EC, amended by the

    Directive 2007/68/EC, requires labelling of 14 allergens,

    including peanut,when used in the formulations of pre

    packaged foods. This measure allows peanutallergic

    individuals to avoid peanutcontaining foods and

    consequently improves thepreventionofallergic reactions

    (ANSES2008).Nevertheless,ariskofreactiontopeanutstill

    remains, as small amounts of peanut allergens may

    inadvertentlyoccur

    in

    commercially

    packaged

    food

    products.Lowlevelpresenceofpeanutproteinsmayresult

    from contamination of the raw material or from cross

    contaminationby the shareduse ofprocessing equipment

    (Rder et al. 2008). In such situations, peanut is not

    mentionedon therequired listof ingredientsbutproducts

    canhaveaprecautionarystatementlabelledasmaycontain

    peanut. The impact of the masked allergens (including

    misunderstanding labelling, missing information, new

    formulation, error of labelling and crosscontamination) is

    important,sinceitisestimatedtohaveinduced8.6%ofthe

    seriousallergicreactionsreportedbytheFrenchfoodallergy

    networkbetween

    2001

    and

    2006

    (ANSES

    2008).

    In

    attempting to prevent inadvertent exposure to allergen

    crosscontamination among allergic consumers, food

    manufacturersfrequentlyuseprecautionarylabellingtoalert

    consumers topotential allergen hazards in foodproducts.

    However,duetooveruseoftheseprecautionarystatements,

    such labelling leads to adilemma for allergic individuals:

    eithertheybecomelessobservantofhazardsbyconsuming

    suchproducts,ortheyacceptadrasticreductionindietary

    choice. Additionally, it has been shown that allergic

    consumers are increasingly ignoring precautionary labels

    (Hefleetal.2007).

    Allergencrosscontaminationalsopresentsachallengefor

    theriskassessmentduetointerindividualheterogeneityin

    allergen thresholds, and the wide range of allergen

    concentrations in food products. In an exposure model

    basedon the classicdeterministic approach, inputvalues

    areexpressedas singlevaluesorpointestimates,usually

    representing a worst case scenario. Quantitative risk

    assessmentbased

    on

    probabilistic

    principles

    is

    emerging

    as

    thepreferredapproach (Madsenetal.2009).Probabilistic

    modelling has the capacity to use data distributions

    representing variability and uncertainty in input

    parameterswhich increasestheunderstandingandclarity

    oftherelationshipbetweenvaluesandrisk.

    Aprobabilisticmodel forquantifying theriskofallergic

    reaction topeanutdue to the consumption of chocolate

    tablets(i.elargebarsofwhite,darkormilkchocolate)has

    been previously developed (Rimbaud et al. 2010). This

    modelcouplesBayesian inferenceof inputvariablesand

    second

    order

    Monte

    Carlo

    simulations

    to

    separately

    propagate variability, i.e. for one side natural

    heterogeneityordiversity,andforothersideuncertainty

    duetomeasurementerrorsormodelhypotheses(Pouillot

    etal.2007).

    This paper demonstrates the process of capturing andincorporating data from various sources, in a structured

    way, tosupport riskbaseddecisionmaking in relation to

    allergencrosscontamination.Theobjectiveofthisstudyis

    toapplythismodeltoarangeoffoodproductswhichhave

    been analysed for peanut contamination in scientific

    literature,suchaschocolatetablets,chocolatebars,biscuits,

    breakfastcereals,

    bakery

    products,

    confectionery,

    snacks

    andprocesseddesserts.Theallergicriskwasestimatedfor

    eachproductseparately.To take intoaccount the specific

    consumptionbehavioursofpeanutallergicindividuals,an

    internetsurveywasalsoconducted inorder todocument

    theirattitudestowardfoodprecautionarylabelling.

    2.Materialsandmethod

    2.1Dataandvariablesofthemodel2.1.1PresenceandconcentrationofpeanuttracesinfoodproductsData

    relating

    to

    inadvertent

    presence

    of

    peanut

    allergens

    in food products were collected from the scientific

    literature (PubMedandScopusdatabases).Eightarticles

    relating to the detection and quantification of peanut

    allergens in food using commercially available test kits

    (the EnzymeLinked ImmunoSorbent Assay method,

    ELISA,andthePolymeraseChainReactionmethod,PCR)

    were considered.Results on 926 samples purchased on

    European and NorthAmerican markets were gathered

    and classified into eight food groups: chocolate tablets,

    chocolate bars, biscuits, cereals, bakery products,

    confectionery, snacks and processed desserts (Table 1).

    When

    the

    information

    was

    available,

    the

    products

    were

    also classifiedaccording to thepresenceorabsenceofa

    precautionarylabelling.

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    TotalWith traces of

    eanut (%)Total Min Max Total Min Max

    Chocolate

    tabletsb 275 100 (36.4%) 202 81 40.1% 0.17 24.1 72 19 26.4% 0.17 74

    (Holzhauser and Vieths, 1999; Keck-

    Gassenmeier et al., 1999; Pel et al., 2007;

    Stephan and Vieths, 2004)h

    Chocolate barsc 69 25 (36.2%) 27 8 29.6% 4 72.5 37 17 45.9% 5 245

    (Vadas and Perelman, 2003; Yeung and

    Collins, 1996)

    Biscuits 317 80 (25.2%) 138 29 21.0% 0.17 5.8 175 51 29.1% 0.17 5.8

    (Holzhauser and Vieths, 1999; Keck-

    Gassenmeier et al., 1999; Pel et al., 2007;

    Schppi et al., 2001; Stephan and Vieths,

    2004; Yeung and Collins, 1996)h

    Cerealsd 78 15 (19.2%) 69 29 42.0% 0.72 1160 9 4 44.4% - -

    (Hefle et al., 2007; Holzhauser and Vieths,

    1999; Schppi et al., 2001; Stephan and

    Vieths, 2004)

    h

    Bakery products 56 0 (0.0%) 47 0 0.0% - - 6 0 0.0% - - (Hefle et al., 2007; Schppi et al., 2001)h

    Confectionerye 43 8 (18.6%) 38 8 21.1% 0.72 945.4 2 0 - -

    (Hefle, 2007; Holzhauser and Vieths,

    1999;Keck-Gassenmeier, 1999;Stephan and

    Vieths, 2004 )h

    Snacksf 64 12 (18.8%) 37 1 2.7% 2.9 18.3 22 11 50.0% - -

    (Yeung and Collins 1996; Schppi et al. 2001;

    Hefle et al. 2007)h

    Processed

    dessertsg 24 0 (0.0%) 9 0 0.0% - - 5 0 0.0% - -

    (Yeung and Collins 1996; Holzhauser and

    Vieths 1999; Keck-Gassenmeier et al. 1999;

    Stephan and Vieths 2004; Hefle et al. 2007)h

    Total 926 240 (25.9%) 567 156 27.5% 0.17 1160 328 102 31.1% 0.17 245

    Number of samples

    Concentra-

    tion

    With traces

    of peanut

    Number of samplesNumber of samplesReferences

    Concentra-

    tion

    (mgkg-1)a (mgkg-1)a

    With traces

    of peanut

    Product

    groups

    All data Labelling related to peanut traces No reference to peanut

    aincontaminatedproducts,Min=minimum,Max=maximum

    b(tabletssuchasplainchocolate,wholemilkchocolate,semisweetchocolate,etc.)c(suchasMars,Bounty,Lion,etc.)

    d(breakfastcerealsandcerealbars)e(candies,confectionery,etc.)f(potatochips,corncrackers,instantmeals,etc.)

    g(nougatbars,yoghurt,pudding,applesauce,etc.)hconcentrationvaluesoriginallyexpressed inmgkg1of totalpeanutmaterialandconverted intoaproteinequivalentusinga factoruniformlydrawn

    between24%and29%(cf.Rimbaudetal.(2010))

    Table 1.Contaminationof 926 samplesbypeanut inpublisheddata:numberof samples containingdetected tracesofpeanut andconcentrationofpeanutproteinincontaminatedsamplesforeachoftheeightproductcategoriesanddetailedper labellingwhenthe

    informationwasavailable.Inonearticle(Schppietal.2001),onlytheprobabilityofpresencewasretainedbecausetheconcentrationof

    peanutallergensincontaminatedsampleswasinsufficientlyprecise.

    The binary variable P indicating whether the product

    containspeanuttraces(P=1)ornot(P=0)ismodelledbya

    Bernoullidistribution

    with

    probability

    p

    (Table

    2).

    The

    probabilitypismodelleditselfbyaBetadistributionwith

    parameters (; ). If theproduct containspeanut traces,

    theconcentrationlevelsCexpressedmg.kg1isconsidered

    distributedwithanexponentialdistributionwithparameter

    representingtheinverseofthemean. ismodelledbya

    Gamma distribution with parameters (; ). The

    parameters of the distributionswere estimated through

    theBayesianapproachdevelopedinRimbaudetal.(2010)

    applied to all data presented in Table 1. It results in

    valuesof(; )and(; )presentedinthecolumnAll

    inTable2foreachproductsgroup.Forchocolatetablets,

    chocolatebarsandbiscuits, thenumberofdataper type

    of precautionary labelling was sufficient to provide a

    specific distribution related to the labelling (columns

    precautionarylabellingandnoreferencetopeanutin

    Table2).

    2.1.2Consumptionpattern

    The consumption pattern is provided by the French

    individual food consumption survey INCA2, conducted

    in20062007by theFrenchFoodSafetyAgency (ANSES

    2009;ANSES2009a).2624adultsaged18to79yearsand

    1455 children aged 3 to 17 years, representative of the

    general French population, were asked to complete a

    sevenconsecutiveday fooddiary.Participantsestimated

    portion sizes through comparison of their actual

    consumption with photographs compiled in a manual

    adapted from theSuViMaxpicturebooklet (Hercberget

    al.

    1994).

    Consumed

    quantities

    of

    products

    by

    allergic

    individuals were considered to be equivalent to those

    consumedbytheINCA2populationgroup.Inthecontext

    3Loup Rimbaud, Fanny Hraud, Sbastien La Vieille, Jean-Charles Leblanc and Amlie Crpet: Quantitative Risk

    Assessment Relating to the Inadvertent Presence of Peanut Allergens in Various Food Products

    www.intechopen.com

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    ofanacuteriskassessment,thelargestamountofproduct

    ingestedby each individual on a single eating occasion

    during the sevenday period recorded was used. The

    descriptive statistics of the empirical distribution of this

    largestamountareshowninTable3forboth adultsand

    childrenpopulations.

    Description DistributionorequationWhether the product iscontaminated (P=1) or not

    (P=0)

    P~Bernoulli(p)withE(P)=p

    Probabilityofpresence

    ofpeanut(%)p~Beta(; )withE(p)=/(+)

    Labellingrelatedtopeanuttraces

    Parameters

    (; ) of the

    distribution

    ofp

    Product

    groupsPrecautionarylabelling Noreferencetopeanut All

    Chocolate

    tablets(82;122) (20;54) (101;176)

    Chocolate

    bars(9;20) (18;21) (26;45)

    Biscuits (30;110) (52;125) (81;238)

    Cereals (16;64)

    Confectionery (9;46)

    Snacks (13;53)

    Peanut

    concentration

    (mgkg1)

    C~Exp()withE(C)=1

    Parameter of the

    distributionofC ~Gamma(; )withE()= /

    Labellingrelatedtopeanuttraces

    Parameters

    (;)of the

    distributionof

    Product

    groupsPrecautionarylabelling Noreferencetopeanut All

    Chocolate

    tablets(42;279) (11;152) (53;420)

    Chocolate

    bars(8;297) (17;846) (24;1143)

    Biscuits (11;86) (31;97) (42;183)

    Cereals (22;1277)

    Confectionery (16;1578)

    Snacks (8;20)

    Consumedportionof

    product(kg)Q:largestobservedquantitiesduringthesevendayperiodrecordedinINCA2survey

    Equationofthedose

    responsecurve(cumulative

    distributionfunctionofthe

    thresholdofreactionT)

    ad

    bDR d 1 e

    Thresholdofreaction(mg) T~Weibull(a;b)withE(T)=b(1+1/a)

    Parameters(a;b)ofthe

    distributionofT

    a~ED*

    b~ED*

    Exposuretopeanut

    allergens(mg)E=PxCxQ

    Risk(probabilityofallergic

    reactionin%)R=DR(E)

    Occurrenceofatleast1

    allergicreaction

    intheweek

    S=1 if E T

    S=0 otherwise

    Whethertheconsumerpays

    attentiontoprecautionary

    labelling(PA=1)ornot

    (PA=0)

    PA~Bernoulli(p)withE(PA)=p

    Observedprobabilityof

    payingattentiontolabellingp

    *EmpiricalDistributionobtainedinTable4of(Rimbaudetal.2010).

    Table2.Descriptionofthevariablesandtheparametersoftheallergenriskmodel

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    Product Variable Population Mean SDa p2.5b Median p97.5b

    Chocolatetablets

    p (%) 36% 3% 31% 36% 42%

    C(mgkg1) 8.3 8.3 0.2 5.7 30.1

    Q(g)Adults 25.0 32.0 3.0 13.0 111.0

    Children 26.0 23.0 5.0 20.0 93.0

    E(mg)

    Adults 0.2 0.4 2.4E

    03

    0.08

    1.1Children 0.2 0.3 2.8E03 0.09 1.1

    Chocolatebars

    p (%) 37% 6% 26% 37% 48%

    C(mgkg1) 49.6 51.4 1.2 33.7 188.9

    Q(g)Adults 53.0 36.0 5.0 50.0 150.0

    Children 42.0 26.0 7.0 40.0 112.0

    E(mg)Adults 2.9 3.3 0.08 1.7 11.4

    Children 2.0 2.6 0.05 1.1 8.6

    Biscuits

    p (%) 25% 2% 21% 25% 30%

    C(mgkg1) 4.6 4.8 0.1 3.1 17.5

    Q(g)Adults 49.0 44.0 5.0 36.0 168.0

    Children 53.0 35.0 10.0 50.0 140.0

    E(mg)Adults 0.2 0.4 2.4E03 0.1 1.2

    Children 0.2 0.3 4.1E03 0.1 1.1

    Cereals

    p (%) 20% 4% 12% 20% 29%

    C(mgkg1) 65.4 68.7 1.6 44.0 250.4

    Q(g)Adults 53.0 33.0 15.0 45.0 125.0

    Children 48.0 24.0 15.0 45.0 100.0

    E(mg)Adults 2.9 3.6 0.08 1.8 12.5

    Children 2.9 3.5 0.06 1.7 11.8

    Confectionery

    p (%) 20% 6% 10% 20% 33%

    C(mgkg1) 104.3 110.1 2.6 69.4 400.8

    Q(g)Adults 24.0 36.0 3.0 13.0 80.0

    Children 24.0 25.0 3.0 20.0 80.0

    E(mg)Adults 2.2 4.1 0.03 0.8 11.4

    Children 2.1 3.2 0.03 1.0 10.8

    Snacks

    p (%) 20% 5% 11% 19% 30%

    C(mgkg

    1) 2.8 3.3 0.1 1.7 11.5

    Q(g)Adults 28.0 28.0 5.0 20.0 87.0

    Children 32.0 33.0 5.0 20.0 132.0

    E(mg)Adults 0.08 0.1 1.4E03 0.04 0.4

    Children 0.07 0.1 1.3E03 0.03 0.3

    p:probabilityofpresenceofpeanutallergens

    C:Peanutconcentration

    Q:Consumedportionofproduct

    E:Strictlypositivelevelsofexposuretopeanutallergensastandarddeviation

    b2.5thand97.5thpercentilesofthedistribution

    Table 3. Descriptive statistics of the model variables for each of the six products: probability of the presence of peanut allergens,concentrationofpeanutproteinincontaminatedproducts,largestportionoffoodingested,andexposuretopeanutproteinsfollowing

    theconsumptionofacontaminatedproduct

    2.1.3Attitudesofpeanutallergicconsumerstowards

    precautionarylabelling

    Attitudes of peanutallergic consumers were described

    through an internet survey conducted fromJanuary to

    June2009onchocolateproductsandbiscuits.Theallergic

    individualsvisitingthewebsiteoftheFrenchAssociation

    for Allergy Prevention (AFPRAL) were invited to

    respond toaquestionnaire. Individualswere firstasked

    whether they had eliminated chocolate products and

    biscuits from their diet. Then, subjects who had not

    eliminated

    these

    products

    were

    asked

    whether

    they

    pay

    attention to food labelling, and, if so, to detail their

    relative consumption frequency of: i) productsbearing

    labelling such as peanutfree, ii) products with

    precautionarylabellingsuchasmaycontainpeanutand

    iii) products without any reference to peanut on their

    packaging. One hundred and thirty five peanutallergic

    children aged 1 to 17 years old and 68 peanutallergic

    adults completed the questionnaire.Respondents

    attitudes were assumed tobe representative of those of

    thepeanutallergicpopulationinFrance.

    2.1.4Doseresponseforpeanutallergen

    The doseresponse curve is definedby the relationship

    betweentheintakeofagivenamountofallergenandthe

    proportionofallergicindividualsthatarelikelytoreact.

    5Loup Rimbaud, Fanny Hraud, Sbastien La Vieille, Jean-Charles Leblanc and Amlie Crpet: Quantitative Risk

    Assessment Relating to the Inadvertent Presence of Peanut Allergens in Various Food Products

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    It is statistically represented by the cumulative

    distribution function of the threshold of reaction. The

    modelling of a doseresponse curve from published

    thresholds of reaction of the DoubleBlind Placebo

    ControlledFoodChallenge(DBPCFC)testsdevelopedin

    Rimbaud et al., 2010,was retained and summarized in

    Table2.Asproposedbytheauthors,onedoseresponse

    curvebasedonpooleddataforbothadultsandchildren

    populationswasusedinthisstudy.

    2.2ExposureandriskassessmentTheindividualexposureisdefinedbytheamountinmgof

    peanutallergen ingestedpereatingoccasionofaproduct

    among the six groups. It is estimated in combining the

    probability that the consumed product contains peanut

    allergen, its correspondingpeanut concentration and the

    consumed quantity. The allergic risk to peanut is then

    definedastheprobabilitythatanallergicconsumerreacts

    following an exposure topeanut allergen.Practically the

    exposure is null when the consumed product is not

    contaminated(P=0).Otherwise(P=1),theexposurelevelE

    results from the multiplication of the largest portion of

    productingestedinoneeatingoccasionbyan individual,

    Q, with a level of peanut C randomly selected in its

    correspondingdistribution.Then,theprobabilityofreaction

    associatedwiththisindividualexposureleveliscalculated

    usingtheequationofthedoseresponsecurveDR(E)given

    in Table 2. These calculations are repeated for each

    individualofthesurveyINCA2andeachproductgroupto

    obtainadistributionoftheriskassociatedwithoneeatingoccasion.This process is performed 100 times using 100

    different values of parameters distributions and leading

    witha95%credible interval foreachestimateof the risk

    distribution.

    Inordertoestimatethenumberofconsumerswhowould

    haveatleastoneallergicreactiontopeanutinoneweek,

    the exposures related to each eatingoccasionof the six

    product groups in one week were calculated for each

    individual.Inparallel,athresholdofreactionselectedin

    its corresponding Weibull distribution (Table 2) was

    attributed

    to

    those

    individuals.

    If

    at

    least

    one

    exposure

    levelrelatedtothedifferenteatingoccasionsequalledor

    exceededthethreshold,theindividualwasconsideredto

    have one allergic reaction during the week. Note that

    each eating occasion was taken into account

    independently. The simultaneous consumption of

    different products during a meal and therefore their

    associatedriskwerenotconsidered.

    Usingthisdata,twoscenarioswerestudied:thefirstone

    considered that allergic consumers had no specific

    attitudetowardthedifferentprecautionarylabelling;and

    the

    second

    one

    integrated

    their

    specific

    attitude

    as

    declared in the internetsurvey. In the firstscenario, the

    probabilityofcontaminationandtheconcentrationlevels

    weresimulatedregardlessofthetypeoffoodlabelling.In

    this way, the common distributions of these variables

    fitted from all thedata (column All inTable 2)were

    used tosimulate theexposure. In thesecondscenario,a

    supplementary variable, PA, indicates whether the

    consumer pays attention to labelling (PA=1), or not

    (PA=0). The variable PAwas generatedby aBernouilli

    distributionwithparameterp,estimatedbytheobserved

    frequencyofcarefulbehaviourobtainedfromtheinternet

    survey. IfPA=1, theprobabilityofpeanutpresenceand

    the concentration level were simulated given the

    frequencies of consuming productbearing labelling or

    not, from the specific contamination distributions

    (columnsprecautionary labellingandnoreferenceto

    peanut in Table 2). The guaranteed peanutfree

    productswereassumedtonotcontainanytraceofpeanut

    and therefore the risk associated with this type of

    products

    is

    null.

    The

    second

    scenario

    was

    applied

    only

    on

    chocolate tablets, chocolatebars andbiscuits forwhich

    specificconsumerattitudedistributionswereavailable.

    2.3ComputingtoolsTo estimate the parameters of the input variable

    distributionsof themodel,Bayesian computationswere

    performed using the WinBUGS software (version 1.4,

    Imperial College & Medical Research Council (MRC),

    UK) asdescribedbyRimbaud et al., 2010.Using theR

    software (version 2.5.0, R Foundation for Statistical

    Computing),peanutexposureandriskweresimulatedby

    secondorder Monte Carlo algorithm as described by

    Rimbaudetal.(2010).

    3.Results

    3.1ContaminationandconsumptionestimatesBasedondatausedinthisstudy,chocolatebarswerethe

    most likely contaminated products (Table 3), with an

    average probability of peanut presence of 37%. This

    probabilityhasa95%chanceoffallingbetween26%and

    48%,which represents itsuncertainty.Chocolate tablets

    contamination was of the same order of magnitude.

    Concerningtheotherproducts,onequarterofthebiscuits

    and one fifth of the cereals, the confectionery and the

    snacks contained peanut allergens and may therefore

    induceariskofallergicreaction.

    Whentracesofpeanutwerepresentinaproductsample,

    theconcentrationofpeanutproteinreachedheterogeneous

    levels,dependingontheproduct.Forinstance,theaverage

    incontaminatedconfectionerywas104.3mgkg1ofpeanut

    protein, i.e. the equivalent of one peanut kernel in one

    kilogramoffood.Theconcentrationlevelwasgreaterthan

    400.8mgkg1 for2.5%of thecontaminatedconfectionery.

    In

    contrast,

    the

    concentration

    averaged

    2.8

    mg

    kg1

    for

    the

    contaminatedsnacks,and2.5%ofthemhadconcentrations

    greaterthan11.5mgkg1.

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    Regarding the consumption pattern, the largest amount

    consumedbyadults inanyonesitting inaweekaveraged

    approximately50g for thechocolatebars, thebiscuitsand

    thecereals.Thesewerefollowedbythesnacks,thechocolate

    tabletsandtheconfectionery,averaging28g,25gand24

    g,respectively.

    The

    children

    consumed

    similar

    quantities

    totheadultpopulationgroup.

    3.2Estimatesoftheexposure,risk,andnumberofallergicreactionspereatingoccasionwithoutintegratingspecificattitudestowardthedifferentprecautionarylabellingWhen the consumed sample is contaminated, the

    highestexposurelevelisfromcereals,withanaverage

    of2.9mgforadultsand2.9mgforchildren(Table3).

    Adultsandchildrenwereexposedtomorethan12.5mg

    and11.8mgof peanutprotein,respectively, from 2.5%

    of the contaminated cereal portions. Concerning the

    otherproducts,theaverageexposurelevelrangedfrom

    0.08 mg (snacks) to 2.9 mg (chocolatebars) of peanut

    proteinfor

    adults,

    and

    from

    0.07

    mg

    (snacks)

    to

    2.1

    mg

    (confectionery)forchildren.It is important tonote that

    97.5%of thepopulationisexposed toalevelbelow the

    peanut concentration of 12.5 mg reached in one eating

    portion of contaminated cereals. Nevertheless, 12.5 mg

    of peanut protein is sufficient to trigger an allergic

    reaction in 15.5% to 16.5% of the peanutallergic

    population, according to the doseresponse curve

    previouslyestablished(Rimbaudetal.2010).

    Product Population Estimator Mean SDa Median p97.5b Positiveriskmeand

    Chocolatetablets

    Adults

    Median 0.6% 1.1% 0.0% 3.6% 1.5%

    2.5%c 0.4% 0.9% 0.0% 2.9% 1.3%

    97.5%c 0.7% 1.3% 0.0% 4.4% 1.9%

    Children

    Median 0.6% 1.1% 0.0% 3.9% 1.7%

    2.5%c 0.5% 0.9% 0.0% 3.1% 1.5%

    97.5%c 0.8% 1.3% 0.0% 4.7% 2.0%

    Chocolatebars

    Adults

    Median 2.4% 4.0% 0.0% 12.8% 6.6%

    2.5%c 1.5% 3.0% 0.0% 9.6% 5.0%

    97.5%c 3.6% 5.2% 0.0% 17.2% 8.1%

    Children

    Median 2.0% 3.3% 0.0% 10.7% 5.4%

    2.5%c 1.3% 2.6% 0.0% 8.3% 4.3%

    97.5%c 2.8% 4.1% 0.0% 13.6% 6.8%

    Biscuits

    Adults

    Median 0.4% 1.0% 0.0% 3.3% 1.7%

    2.5%c 0.3% 0.8% 0.0% 2.6% 1.4%

    97.5%c 0.5% 1.2% 0.0% 4.0% 2.0%

    Children

    Median 0.5% 1.0% 0.0% 3.4% 1.8%

    2.5%c 0.4% 0.8% 0.0% 2.9% 1.5%

    97.5%c 0.6% 1.2% 0.0% 4.3% 2.2%

    Cereals

    Adults

    Median 1.4% 3.3% 0.0% 11.4% 6.8%

    2.5%c 0.7% 2.3% 0.0% 8.2% 5.2%

    97.5%c 2.3% 4.6% 0.0% 15.8% 9.2%

    Children

    Median 1.4% 3.2% 0.0% 11.2% 6.6%

    2.5%c 0.8% 2.4% 0.0% 8.3% 5.3%

    97.5%c 2.1% 4.1% 0.0% 14.2% 8.2%

    Confectionery

    Adults

    Median 1.0% 2.8% 0.0% 9.5% 5.2%

    2.5%c 0.5% 1.9% 0.0% 6.0% 4.0%

    97.5%c

    2.0% 4.4% 0.0% 13.7% 6.7%

    Children

    Median 1.1% 2.8% 0.0% 9.6% 5.3%

    2.5%c 0.5% 2.0% 0.0% 7.1% 4.3%

    97.5%c 2.1% 4.3% 0.0% 14.4% 6.9%

    Snacks

    Adults

    Median 0.2% 0.5% 0.0% 1.7% 1.0%

    2.5%c 0.1% 0.3% 0.0% 1.1% 0.7%

    97.5%c 0.4% 1.0% 0.0% 3.3% 1.8%

    Children

    Median 0.2% 0.5% 0.0% 1.5% 0.9%

    2.5%c 0.1% 0.3% 0.0% 1.0% 0.7%

    97.5%c 0.3% 0.7% 0.0% 2.4% 1.4%astandarddeviation

    b97.5thpercentilesofthedistribution

    c2.5%and97.5%valuesdefinea95%credibleintervalaroundtheestimatewiththemedian

    dmeanofthestrictlypositiveriskvalues

    Table4.Descriptivestatisticsoftheriskofallergicreactiontopeanutpereatingoccasionassociatedwitheachofthesixproducts,foradultandchildpeanutallergicpopulationgroups

    7Loup Rimbaud, Fanny Hraud, Sbastien La Vieille, Jean-Charles Leblanc and Amlie Crpet: Quantitative Risk

    Assessment Relating to the Inadvertent Presence of Peanut Allergens in Various Food Products

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    Population Numberofindividuals Estimator

    Individualswithreactiona

    Number %Adults

    (18 79

    years)

    2624

    Median 40 1.5%

    2.5%b 29 1.1%

    97.5%b 56 2.1%

    Children

    (3 17years)1455

    Median

    54

    3.7%

    2.5%b 36 2.5%

    97.5%b 77 5.3%

    aindividualswithatleastonereactionduringtheweek

    b 2.5% and 97.5% values define a 95% credible interval around the

    estimatewiththemedian

    Table 5. Number of consumers who would have at least oneallergic reaction to peanut in one week from among the 2624

    adultsand1455children,consideringalltheeatingoccasionsof

    alltheproductsthroughouttheweek

    Focusing on the chocolate bars, and including both

    contaminated and noncontaminated samples, the

    probabilityof

    allergic

    reaction

    to

    peanut

    averaged

    2.4%

    pereatingoccasion,witha95%credibleinterval(CI95)of

    [1.5; 3.6]% for adults (Table 4). The median of the risk

    equalled zero, meaning that at least 50% of the eating

    occasions inducednoriskofreaction.However,2.5%of

    the adults had a risk greater than 12.8% (CI95:

    [9.6;17.2]%).Theprobabilityofallergicreactionfollowing

    the consumption of a contaminated chocolate bar

    averaged6.6%(CI95:[5.0;8.1]%).Nosignificantdifference

    wasobservedbetweenchildrenandadults.Inthismodel,

    the chocolatebars induced thehigher risk, followedby

    cereals, confectionery, chocolate tablets, biscuits and

    finally

    snacks.

    TheriskforthewholeFrenchpeanutallergicpopulation

    canbeextrapolatedtakingintoaccounttheprevalenceof

    peanutallergy in thegeneralpopulation.The11,792,146

    French children agedbetween 3 and 17 years and the

    46,758,489 French adults agedbetween 18 and 79 years

    (INSEE2009)

    were

    multiplied

    by

    the

    prevalence

    and

    the

    mean risk of allergic reaction per eating occasion.

    Therefore, assuming that the whole allergic population

    consumeschocolatebars,3,713adults(CI95:[2,312;5,485])

    and 1,372 children (CI95: [900; 1,974]) would have a

    reaction to peanut, including severe and nonsevere

    incidents. This corresponds to respectively 2.0%

    (CI95:[1.3;2.8]%) and 2.4% (CI95:[1.5;3.6]%) of the total

    adult and child peanutallergic population groups in

    France.

    3.3NumberofindividualswithallergicreactioninoneweekConsidering

    all

    the

    eating

    occasions

    of

    all

    the

    studied

    products, 40 adults and 54 children among the INCA2

    population group would have at least one reaction to

    peanutinoneweek(Table5).Thisrepresentsrespectively

    1.5% (CI95: [1.1;2.1]%) and 3.7% (CI95: [2.5;5.3]%)of the

    adultandchildpeanutallergicpopulationgroups.

    Product Population Estimator Mean SDa Median p97.5b Positiveriskmeand

    Chocolatetablets

    Adults

    Median 0.4% 1.0% 0.0% 3.4% 1.7%

    2.5%c 0.3% 0.8% 0.0% 2.6% 1.4%

    97.5%c 0.5% 1.3% 0.0% 4.4% 2.0%

    Children

    Median 0.4% 1.1% 0.0% 3.5% 1.8%

    2.5%c 0.3% 0.9% 0.0% 2.9% 1.5%

    97.5%c 0.6% 1.3% 0.0% 4.5% 2.1%

    Chocolatebars

    Adults

    Median 1.9% 3.7% 0.0% 12.0% 6.6%

    2.5%c 1.2% 2.6% 0.0% 8.6% 5.0%

    97.5%c 2.8% 4.8% 0.0% 15.9% 8.3%

    Children

    Median 1.3% 2.8% 0.0% 9.4% 5.2%

    2.5%c 0.9% 2.1% 0.0% 7.3% 4.3%

    97.5%c 1.9% 3.6% 0.0% 12.3% 6.6%

    Biscuits

    Adults

    Median 0.3% 0.9% 0.0% 2.9% 1.7%

    2.5%c 0.2% 0.7% 0.0% 2.3% 1.4%

    97.5%c 0.4% 1.1% 0.0% 3.8% 2.1%

    Children

    Median 0.3% 0.9% 0.0% 3.1% 1.8%

    2.5%c 0.2% 0.7% 0.0% 2.4% 1.5%

    97.5%c 0.5% 1.2% 0.0% 4.3% 2.4%

    astandarddeviation

    b97.5thpercentileofthedistribution

    c2.5%and97.5%valuesdefinea95%credibleintervalaroundtheestimatewiththemediandmeanofthestrictlypositiveriskvalues

    Table6.Descriptivestatisticsoftheriskofallergicreactiontopeanutpereatingoccasionforchocolatetablets,chocolatebarsandbiscuits

    including

    the

    attitudes

    towards

    food

    precautionary

    labelling

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    concentrations for the formers. If these differences also

    exist with the French market, the risk may have been

    overestimated. This points to the need for data on the

    presence of allergens in food at the national level.

    Moreover,riskcalculationscanalsoberefinedifsufficient

    datacanbecollectedtodistinguishcontaminationbetweenproductswithandwithoutprecautionarylabelling.

    Anothersourceofoverestimationisduetotheselectionof

    patients in the DBPCFC tests. Indeed, patients who

    participate in clinical tests often feel very concernedby

    their food allergy and theymaybemore reactive (have

    lower thresholds) than the general allergic population

    group.AsdiscussedbyRimbaudetal.(2010),thisseemsto

    beparticularly the case for adults.Basedon thedatawe

    collated from the published literature, we found the

    thresholdsofreactionforadultstobelowerthanthosefor

    children(data

    not

    shown),

    which

    is

    not

    in

    accordance

    with

    clinicaldata(MoneretVautrinandKanny2004;Hourihane

    etal.2005).Toreducethisimpact,theresultsofadultsand

    childrenDBPCFCtestswerepooledtoestablishonesingle

    doseresponse curve.Moreover, the results of this study

    havetobemoderatedbecauseallthresholdsassociated to

    various types of reaction from nonsevere incidents (oral

    itching for example) to serious event (anaphylaxis),were

    treatedequivalentlyinthiswork.Effortstoacquiredataon

    thresholds of reaction will permit to refine allergic risk

    assessmentby integrating data on the severity of allergy.

    Moreover,thisstudyhasrevealedanimpactofconsumption

    behavioursonriskestimates, thereforeasurveycombining

    consumptionbehavioursandthresholdsofallergicsufferers

    willbethemostappropriatetorefineriskassessment.

    This approach can be implemented as a tool for risk

    managers, manufacturers or public administrations.

    Indeed,aretrocalculationbasedonthedefinitionofan

    acceptable risk could help to decide whether to use

    precautionary labelling. Moreover, for physicians, the

    exposureestimatescanactasaguidelinewhendefining

    allergen doses for DBPCFC tests, a dosing scheme

    corresponding to the real exposure scheme.Finally, this

    approachcouldalsobeappliedtoguidethephysiciansto

    make recommendations to their patients based onquantified results such as to avoid specific products

    consideringtheirindividualclinicalthreshold.

    5.Acknowledgment

    The authors wish to thank the French Association for

    AllergyPrevention (AFPRAL) for theirjointeffort to the

    internet survey on food behavior of people with food

    allergies.

    6.Disclosureofpotentialconflictofinterest

    Theauthors

    have

    declared

    that

    they

    have

    no

    conflict

    of

    interest

    7.Abbreviations

    AFPRAL FrenchAssociationforAllergyPrevention

    ANSES French Agency for Food, Environmental and

    OccupationalHealthSafety

    CI9595%

    credible

    interval

    DBPCFC DoubleBlindPlaceboControlledFoodChallenge

    ELISA:EnzymeLinkedImmunoSorbentAssay

    PCR:PolymeraseChainReaction

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