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In Vitro Study on the Effects of Temperature and pH on Antimicrobial Activity of Aqueous Garlic Extract

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    EXTENDEDESSAY

    BIOLOGY

    OptimalConditionforAntimicrobialActivity:

    InVitrostudyontheeffectsoftemperatureandpHonAntimicrobialActivityofAqueousGarlicExtract

    againstEscherichiacoliATCC25922andStaphylococcusaureusATCC25923.

    Submittedby:LimJuAnne

    CandidateNumber:002206018

    WordCount:3995only

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    TableofContentsFigures........................................................................................................................................................... 3

    Tables............................................................................................................................................................ 4

    Abstract......................................................................................................................................................... 6

    1.0 Introduction........................................................................................................................................ 7

    1.1 RationaleofStudy............................................................................................................................... 7

    1.2Aim...................................................................................................................................................... 8

    1.3Garlic(AlliumSativum)........................................................................................................................ 9

    1.4Bacteria............................................................................................................................................. 11

    2.0Variables................................................................................................................................................ 13

    2.1Independentvariable........................................................................................................................ 13

    2.2Dependentvariable........................................................................................................................... 13

    2.3Fixedvariable.................................................................................................................................... 13

    3.0Procedures............................................................................................................................................ 14

    3.1 Preparationbeforeexperiment........................................................................................................ 14

    3.2

    Preparation

    of

    Aqueous

    Garlic

    Extract

    for

    different

    temperature

    and

    pH

    treatment

    .....................

    15

    3.3 MethodforAgarDiskDiffusionMethod.......................................................................................... 17

    4.0 DataCollection................................................................................................................................. 21

    4.1 RawData:AntimicrobialActivityofAqueousGarlicExtractIncubatedatDifferentTemperature.21

    4.2 RawData:AntimicrobialActivityofAqueousGarlicExtractIncubatedatDifferentpH..................23

    4.3 DataProcessing:ComparingMeanInhibitionZoneofE.ColiandStaph.a..................................... 25

    4.4 DataProcessing:ANOVAandTukeysHSDtest................................................................................ 26

    5.0 Conclusion........................................................................................................................................ 30

    5.1 Part1:Temperature......................................................................................................................... 30

    5.2 Part2:pH.......................................................................................................................................... 32

    6.0 EvaluationandSuggestion................................................................................................................ 34

    7.0 References........................................................................................................................................ 36

    8.0 Appendixes....................................................................................................................................... 37

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    FiguresFigure1:GenerationofAllicininGarlicClove(2)......................................................................................... 9

    Figure3:CellWallofGrampositiveBacteria(7)........................................................................................ 11

    Figure2:CellwallofGramnegativeBacteria(10)..................................................................................... 11

    Figure4:Swabbingdirectiononthenutrientagarplate............................................................................ 18

    Figure5:LabellingtheNutrientAgarPlate(leftfigure:fortestingofdifferentincubationpH;rightfigure:

    fortestingofdifferentincubationtemperature)....................................................................................... 19

    Figure6:MeasuringInhibitionZoneofAqueousgarlicExtractTreatedatDifferentpH........................... 20

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    TablesTable

    1:

    Microcentrifuge

    labelling

    and

    its

    corresponding

    temperature

    .....................................................

    15

    Table2:MicrocentrifugelabellinganditscorrespondingpH..................................................................... 17

    Table3:LabellinglegendonNutrientagarplate........................................................................................ 19

    Table4:InhibitionZone(mm)ofaqueousgarlicextractincubatedatvarioustemperaturesonE.coli...21

    Table5:InhibitionZone(mm)ofaqueousgarlicextractincubatedatvarioustemperaturesonStaph.a22

    Table6:InhibitionZone(mm)ofaqueousgarlicextractincubatedatvariouspHonE.coli..................... 23

    Table7:InhibitionZone(mm)ofaqueousgarlicextractincubatedatvariouspHonStaph.a.................24

    Table8:ResultsofANOVAon4setsofdatatodeterminewhetherthereissignificantdifference

    betweenmeaninhibitionzoneofaqueousgarlicextractincubatedatdifferenttemperatureandpHon

    E.ColiandStaph.a..................................................................................................................................... 27

    Table9:ResultsofTukeysHSDtestonmeaninhibitionzoneofaqueousgarlicextractincubatedat

    differenttemperatureonE.Colitodeterminewhichgroupissignificantlydifferentthantheother.......28

    Table10:ResultsofTukeysHSDtestonmeaninhibitionzoneofaqueousgarlicextractincubatedat

    differenttemperatureonStaph.atodeterminewhichgroupissignificantlydifferentthantheother...28

    Table11:ResultsofTukeysHSDtestonmeaninhibitionzoneofaqueousgarlicextractincubatedat

    differentpHonE.Colitodeterminewhichgroupissignificantlydifferentthantheother....................... 29

    Table12:ResultsofTukeysHSDtestonmeaninhibitionzoneofaqueousgarlicextractincubatedat

    differentpHonStaph.atodeterminewhichgroupissignificantlydifferentthantheother................... 29

    Table13:Conventionalnotationsanditsmeaning.................................................................................... 41

    Table14:OnewayANOVAtable................................................................................................................ 42

    Table15:Summary..................................................................................................................................... 43

    Table16:ANOVAtable............................................................................................................................... 43

    Table17:Summary..................................................................................................................................... 44

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    Table18:ANOVAtable............................................................................................................................... 44

    Table19:Summary..................................................................................................................................... 45

    Table20:ANOVAtable............................................................................................................................... 45

    Table21:Summary..................................................................................................................................... 46

    Table22:ANOVATable............................................................................................................................... 46

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    AbstractGarlic(AlliumSativum)isknowntohaveantimicrobialproperties. Thisstudyinvestigatestheeffectsof

    pHandtemperatureontheantimicrobialactivityofaqueousgarlicextract. Theaqueousgarlicextractis

    tested on nonpathogenicEscherichiacoli ATCC 25922 andStaphylococusaureus ATCC 25923 in an invitroenvironment. ThemethodchosenisAgarDiscDiffusionMethod. Filterpaperdiscsaredippedinto

    the aqueous garlic extract which are pretreated at different pH and temperature and then put onto

    inoculatedagarplates. Theagarplatesareincubatedatapproximately37

    o

    Cfor24hours. Thediameter

    ofinhibitionzone(clearzonearoundthefilterpaperdisc)ismeasured;thelargerthediameterofzone

    of inhibition, the higher the antimicrobial activity of the aqueous garlic extract. ANOVA (calculated at

    significance level of 0.05) and Tukeys HSD test is used to analyse the data. ForE.coli andStaph.a,inhibitiondecreasesasincubationtemperatureofaqueousgarlicextractincreases;thereisnoinhibition

    at 100oC. Inhibition is greatest for both bacteria strains when aqueous garlic extract is incubated at

    roomtemperature(25oC). Antimicrobialactivityofaqueousgarlicextractincubatedat75oCand80oCis

    significantlylesserthanaqueousgarlicextractincubatedat25oCand40oC. ThereisinhibitioninStaph.aandE.coli for aqueous garlic extract incubated in pH 1 and pH 7 medium. However, antimicrobialactivityonE.coliissignificantlyhigherwhenaqueousgarlicextractisincubatedinpH1comparedtopH7. ThereisnoantimicrobialactivityonStaph.aandE.coliwhenaqueousgarlicextractisincubatedinmediumofpH12andpH14. Theresultsofmystudysuggestthatoptimumincubationtemperaturefor

    antimicrobial activity of aqueous garlic extract is between 25oC to 40

    oC and optimum pH is between

    acidic(pH1)toneutralmedium(pH7).

    (298wordsonly)

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    1.0 Introduction1.1 RationaleofStudyOveruse of antibiotics caused increasing antibioticresistant bacteria; the perception that antibiotic is

    theultimatecurehadpressuredphysiciansintoprescribingantibioticsforeveryinfection,evenifitisa

    viralinfection. Notfinishingtheentirecourseofantibioticprescribedleavesbehindweakenedbacteria

    in the host. Animals are sometimes given low dosage of antibiotics for long duration (to prevent

    bacterialinfection)toincreasetherateofweightgain(1). Theunnecessaryadministrationofantibiotics

    leaves weakened bacteria which then mutate and gain antibiotic resistant gene. Antibiotic like

    penicillin1isineffectivenow.

    Studies suggest that allicin works by inhibiting certain thiolcontaining enzymes in the microorganisms

    byrapidreactionofthiosulfinateswiththiolgroupsoftheenzyme(2). Itisdifficultforbacteriatogain

    resistancebecausealterationofenzymesstructureisnotanalternative;accordingtothelockandkey

    model, the action of enzyme is specific because the geometric shape of enzymes active site and its

    substrate is complementary. Alteration of enzymes shape causes substrate to be unable to fit into

    enzymesactivesite. Thebacteriacannotsurvivebecausebiochemicalenzymecatalysedreactionsuch

    asrespirationcannotbecarriedout.

    Lastly, asEscherichia coli (E. coli) andStaphylococcusaureus (Staph.a) are common bacteria in ourdaily lives which have the potential to turn pathogenic and garlic is a common spice used in most

    culture, I feel that it is worthwhile studying the possibility of using aqueous garlic extract as natural

    antibiotic.

    1SeeAppendix1

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    1.2 AimThe aim of my paper is to study the effects of pH and temperature on the antimicrobial activity of

    aqueousgarlicextract.

    Hence, my research question isOptimal Condition forAntimicrobialActivity: InVitro studyon the

    effectsoftemperatureandpHonAntimicrobialActivityofAqueousGarlicExtractagainstEscherichiacoliATCC25922andStaphylococcusaureusATCC25923.

    The Agar Disk Diffusion Method is chosen for this experiment (3). This method is adapted2 from

    PerformanceStandardsforAntimicrobialDisksSusceptibilityTests;ApprovedNinthEdition published

    byClinicalandLaboratoryStandards. Ichosethismethodbecauseofthehydrophilicnatureofaqueous

    garlicextract. Filterpaperdiscsareimpregnatedwithaqueousgarlicextractandplacedontoinoculated

    nutrient agar. The active ingredient will diffuse through the nutrient agars surface. No colonies will

    growneartheareawheretheconcentrationisequalormorethantheeffectiveconcentrationtokillor

    inhibit the bacteria. The size of the clear zone (no bacteria growth) is a measure of the antimicrobial

    activity. Thelargerthediameteroftheclearzone,thehighertheantimicrobialactivity.

    2SeeAppendix2

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    1.3 Garlic(AlliumSativum)Garlic (AlliumSativum) is one of the oldest spices that had been noted for its medicinal value across

    many cultures (Egyptians, Greeks, Romans, Chinese, Islamic and Indians). For example, Herodotus

    wrote that garlic is given to labourer building the pyramids to increase their stamina; Hippocrates

    thoughtthatgarlicisgoodformanyailments;Mohammed,theprophetclaimedgarlicapplieddirectlyto

    astingwoundwouldrelieveitspain(4).

    The earliest documentation garlics antimicrobial property of garlic was done by Louis Pasteur in 1858

    (4). Due to its antimicrobial property, garlic poultice is used to dress wound during World War I. In

    WorldWarII,theRussianarmyalsoturnedtogarlicwhentheyranoutofpenicillinandthus,garlicwas

    namedtheRussianPenicillin(5).

    Allicin,producedwhencrushed,isattributedbymanyresearchestotheantimicrobialactivityofgarlic.

    It is responsible for the typical garlic odour. Whole garlic bulbs contain odourless, sulphur containing

    amino acid derivative called alliin and an enzyme called allinase. Alliin is contained in the mesophyll

    cells while allinase in the bundle sheath cells of the whole garlic. When garlic is crushed, alliin and

    allinasewillinteract(2). AllinaseconvertsalliinintoallicinasillustratedinFigure1.

    Figure1:GenerationofAllicininGarlicClove(2)

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    Though, theoretically, allicin is deemed responsible for garlics antimicrobial activity, many researches

    show that allicin is a volatile compound which decomposes into other sulphurous compound such as

    diallys sulphide,diallyldisulphide, and ajoeneafter its formation (6). Due to ambiguity of information

    presented,limitationofmyknowledgeatthislevelofeducationandlimitationofschoollabinstrument,

    I could not possibly verify allicin as the compound responsible for garlics antimicrobial activity.

    Therefore,compoundresponsiblefortheantimicrobialactivityofaqueousgarlicextractwillbereferred

    collectivelyasinhibitorycomponentsinthisstudy.

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    1.4 Bacteria

    I have chosen E. coli and Staph. a because they represent the two spectrums of bacteria: E. colirepresent the gramnegative bacteria while Staph. a represent the grampositive bacteria. This willtherefore give a general idea of the different susceptibility level of grampositive and gramnegative

    bacteriatowardsaqueousgarlicextract.

    Figure3:CellWallofGrampositiveBacteria(7)

    Figure2:CellwallofGramnegativeBacteria(10)

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    As shown in Figure 2, the outer membrane of the gramnegative cell wall has a type of protein called

    porinwhichcontrolswhatentersandleavesthecellthisgivesthequalityofselectivepermeabilityto

    bile,disinfectantsanddrugs. InFigure3,cellwallofthegrampositivebacteriahaspeptidoglycanwhich

    containstightlyboundacidicpolysaccharides(teichoicacid). Thepresenceofoutermembraneingram

    negativebacteriaprovidesextrabarrier,makingitlesspermeabletoantimicrobialsubstancescompared

    to grampositive bacteria. Therefore, it is generally easier to inhibit or destroy grampositive bacteria

    duetodifferenceinthecellwallstructure(8).

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    2.0 Variables2.1 IndependentvariableAqueousgarlicextractissubjectedtodifferenttemperatureusingthewaterbathfor15minutes. The

    temperaturestestedare100oC,80oC,75

    oC,40oCandroomtemperature.

    0.5 cm3

    of aqueous garlic extract is added into 0.5 cm3

    either hydrochloric acid or sodium hydroxide

    adjustedtopH1,pH7,pH12andpH14usingpHmeter(0.01).

    2.2 DependentvariableThe optimal pH and temperature is indicated by aqueous garlic extracts which produces the largest

    inhibition zone after being subjected to a particular pH and temperature. The inhibition zone is the

    diameter of the clear zone around impregnated filter paper disc on the nutrient agar plate after 24

    hoursofincubation.

    2.3 FixedvariableThe fixed variables are the amount of bacteria inoculated on the nutrient agar plate; concentration of

    aqueousgarlic extract;concentration,pH(7.2)andvolumeofnutrientagarused; thedurationoffilter

    paperdiscbeingsoakedintheextract;diameteroffilterpaperdisc(6mm).

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    3.0 Procedures3.1 Preparationbeforeexperiment3.1.1 Apparatuspreparation

    Filterpaperdiscsarecutout withholepuncherof6mmdiameter. Cheesecloth,mortarand

    pestle,filterpaperdiscs,forceps,andcottonbudaresterilisedusinganautoclave.

    7gofGeneChemicalsnutrientagarpowderisaddedto250cm3

    ofdistilledwater. Themixture

    isheatedwhilestirringuntilitboils. Then,itispouredintoaglassbottleandsterilisedinthepressure

    cooker. Duringsterilization,glassbottlecapisloosenedtoallowsteamtoescapeandpreventexplosion

    inthepressurecooker.

    The nutrient agar solution is then poured into 90 mm nutrient agar plate3 up to 7 mm

    thickness and allowed to set on a flat surface. After it had cooled down, the nutrient agar plate is

    coveredtopreventcontamination.

    3.1.2 Turbiditystandardpreparation

    McFarland0.5standardispreparedbymixing0.05cm3of0.048molofbariumchloride(BaCl2)

    and 9.95 cm3 of 0.18 mol of sulphuric acid (H2SO4) (5) in a screwcap tube used for preparing the

    bacteriainoculums.

    3SeeAppendix3

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    3.1.3 Inoculumpreparation

    ThebacteriainoculumsarepreparedbyMrLawrenceKok4. Theapproximatecelldensityof

    McFarland0.5standardis1.5x108CFU/mL. Theturbidityofbacteriaisvisuallycomparedtothe

    standard5tomakesurebacteriaturbidityissimilartoturbidityofMcFarland0.5standard.

    3.2 PreparationofAqueousGarlicExtractfordifferenttemperatureandpHtreatment

    3.2.1 Preparationofaqueousgarlicextract

    100g ofgarlicisweighedusing electronic weighing machine and then poundedintopulpusing

    the mortar and pestle. Pulp is pressed into a beaker using two layers of cheese cloth to obtain the

    aqueousgarlicextract.

    3.2.2 Preparingaqueousgarlicextractatdifferenttemperature

    5microcentrifugesarefilledwith1cm3ofaqueousgarlicextractusingthe1000Lmicropipette.

    Themicrocentrifugesarelabelledasshownintable1.

    4SeeAppendix4

    5SeeAppendix5

    Microcentrifuge

    label

    Temperature

    (0.01)oC

    1 100.00

    2 80.00

    3 75.00

    4 40.00

    5 Roomtemperature

    Table1:Microcentrifugelabellinganditscorrespondingtemperature

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    3.2.3 PreparingaqueousgarlicextractatdifferentpH

    4microcentrifugesarefilledwith0.5cm3

    ofaqueousgarlicextractusingthemicropipette. The

    4microcentricugesarelabelledasshownintable2.

    Aqueous solution of pH 1 is prepared by adding distilled water7 to 1 M HCl. Distilled water is

    used to represent medium of pH 7. Aqueous solution of pH 12 and pH 14 are prepared by adding

    distilledwaterto1MNaOH. pHofaqueoussolutionisgaugedusingpHmeter(0.01). 0.5cm3

    ofpH1

    HCl,distilledwater,pH12NaOH,pH14NaOHisaddedintomicrocentrifuge6,7,8,and9respectively

    using micropipette. Content in the microcentrifuge is shaken for thorough mixing and left for 15

    minutes. As some white coagulated matter is observed in the microcentrifuge, it is spun in thecentrifugeat4000rpmfor6minutestobringtheresiduetothebottom. 6filterpaperdiscsareadded

    into each microcentrifuge (for triplicates when testing each strain of bacteria) using sterilised forceps

    andleftfor30minutes.

    3.3 MethodforAgarDiskDiffusionMethod3.3.1 Inoculationofnutrientagarplate

    Before inoculation, the working bench is wiped with 95% alcohol and the fan is turned off to

    prevent contamination. 100L of nutrient broth containingE.coli is transferred using a micro pipettewithcleantipontothenutrientagar. Asterilecottonswabisusedtoswabthesurfaceofnutrientagar

    7SeeAppendix7

    Microcentrifuge

    label

    pH

    (0.01)

    6 1

    7 7

    8 12

    9 14

    Table2:MicrocentrifugelabellinganditscorrespondingpH

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    inonedirection. Theplateisswabbedtwicemore,turningtheplate60oeverytime. Then,swabaround

    therimoftheagarasshownbyfigure4.

    ThisstepisrepeatedwithStaph.a. Eachbacteriastrainisinoculatedin6nutrientagarplates(3platestobetestedforeffectsoftemperaturewhileanother3platestobetestedfortheeffectsofpH). Fresh

    micro pipette tips are used for each transfer of bacteria onto nutrient agar surface. The inoculated

    nutrientagarplatesareleftfor5minutestodrytoensureanevenbacterialawngrowthonthesurface.

    3.3.2 Applicationoffilterpaperdiscsontoagarplates

    When the inoculated nutrient agar surface is dry, filter paper discs are transferred onto the

    nutrient agar individually using forceps. The forceps is sterilised by dipping it into 95% alcohol and

    burning it over the Bunsen burner. The impregnated filter paper discs are taken out from their

    Figure4:

    Swabbing

    direction

    on

    the

    nutrient

    agar

    plate

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    microcentrifuges. Anyexcessliquidonthefilterpaperdiscisdabbedoffthewallofthemicrocentrifuge.

    Thefilterpaperdiscisthentransferredontotheirrespectivepositionontheagar.

    Figure5:LabellingtheNutrientAgarPlate(left:fortestingofdifferentincubationpH;right:fortestingofdifferent

    incubationtemperature)

    Label Contentoffilterpaperdisc

    1Aqueousgarlicextract

    incubatedatpH1,7,12and14respectively.

    7

    12

    14

    C1AqueoussolutionofpH1,

    7,12and14respectivelyas

    negativecontrol.

    C7

    C12C14100

    Aqueousgarlicextract

    incubatedat100oC,80oC,

    75oC,40oCand25oC

    respectively.

    80

    75

    40

    25

    CDistilledwaterasnegative

    control

    CAntibioticdiscsaspositive

    controlTable3:LabellinglegendonNutrientagarplate

    H2O

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    The filter paper discs are pressed gently onto the surface of the nutrient agar to ensure good

    contact. The filter paper discs are not relocated once it had been placed because some antimicrobial

    agentsareknowntoactinstantly. Theforcepsaresterilisedwiththesamemethodfortransferofeach

    filterpaperdisc.

    3.3.3 IncubationandDataCollection

    Theincubator8

    isashelfwithtwo100Wbulbsinashelf. Afterthetransferoffilterpaperdiscs

    onto nutrient agar, all the agar plates placed inverted into the incubator. The temperature of the

    incubatorisadjustedto37(2)oC. Allagarplatesareincubatedfor24hours. Thezoneofinhibitionis

    measuredwithcentimetreruler((1.0)mm)asshowninfigure6.

    Figure6:MeasuringInhibitionZoneofAqueousgarlicExtractTreatedatDifferentpH

    8SeeAppendix8.

    12mm

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    4.0 DataCollection4.1 RawData:AntimicrobialActivityofAqueousGarlicExtractIncubatedatDifferentTemperature

    Substance

    tested

    Temperature/oC

    (0.01oC)

    DiameterofInhibitionZone(mm)

    1 2 3 MeanS.D

    Aqueousgarlic

    extract

    100.0

    80.0 8 7 7 7.30.6

    75.0 10 9 9 9.30.6

    40.0 16 15 17 16.01.0

    25.0(room

    temperature)

    19 16 18 17.71.5

    DistilledWatera

    N/A

    Nalidixicacidb# N/A 26 26 26 26.00.0

    Table4:InhibitionZone(mm)ofaqueousgarlicextractincubatedatvarioustemperaturesonE.coli()=noactivity

    (N/A)=notapplicable(S.D)=StandardDeviationaNegativecontrol

    bPositivecontrol

    #Disccontent:30g

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    Substancetested

    Temperature/o

    C(0.01

    oC)

    Diameterof

    Inhibition

    Zone

    (mm)

    1 2 3 MeanS.D

    Aqueousgarlic

    extract

    100.0

    80.0 13 12 12 12.30.6

    75.0 15 14 16 15.01.0

    40.0 20 20 19 19.70.6

    25.0(room

    temperature)

    22 18 17 19.02.6

    DistilledWatera N/A

    Methicillinb# N/A 17 18 17 17.30.6

    Table5:InhibitionZone(mm)ofaqueousgarlicextractincubatedatvarioustemperaturesonStaph.a()=noactivity

    (N/A)=notapplicable

    (S.D)=StandardDeviationaNegativecontrolbPositivecontrol#

    Disccontent:5g

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    4.2 RawData:AntimicrobialActivityofAqueousGarlicExtractIncubatedatDifferentpH

    Substancetested pHof

    medium

    DiameterofInhibitionZone(mm)

    1 2 3 meanS.D

    Aqueousgarlicextract

    +hydrochloricacid

    1 10 11 10 10.30.6

    Aqueousgarlicextract

    +distilledwater

    7 12 14 14 13.31.2

    Aqueousgarlicextract

    +

    SodiumHydroxide

    12

    14

    Hydrochloricacida

    1 7 8 7 7.30.6

    DistilledWatera 7 7 8 7.50.7

    SodiumHydrodixea

    12 8 8 8.00.0

    14 7 7 7.00.0

    Nalidixicacidb# N/A 26 27 26 26.30.6

    Table6:InhibitionZone(mm)ofaqueousgarlicextractincubatedatvariouspHonE.coli()=noactivity

    (N/A)=notapplicable

    (S.D)=StandardDeviationaNegativecontrol

    bPositivecontrol

    #Disccontent:30g

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    Substancetested

    pH

    of

    mediumDiameter

    of

    Inhibition

    Zone

    (mm)

    1 2 3 meanS.D

    Aqueousgarlicextract

    +hydrochloricacid

    1 20 17 17 18.01.7

    Aqueousgarlicextract

    +distilledwater

    7 22 18 20 20.02.0

    Aqueousgarlicextract

    +

    SodiumHydroxide

    12

    14

    Hydrochloricacida 1

    DistilledWatera 7

    SodiumHydrodixea

    12

    14

    Methicillinb# N/A 20 19 19 19.30.6

    Table7:InhibitionZone(mm)ofaqueousgarlicextractincubatedatvariouspHonStaph.a()=noactivity

    (N/A)

    =

    not

    applicable

    (S.D)=StandardDeviationaNegativecontrol

    bPositivecontrol

    #Disccontent:5g

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    4.3

    Graph1:

    Graph2:

    DataPro

    eanInhibitio

    eanInhibitio

    0

    5

    10

    15

    20

    25

    MeanInhibitio

    nZone(mm)

    0

    5

    10

    15

    20

    25

    MeanInhibitionZone(mm)

    g

    essing:

    nZone(mm)o

    nZone(mm)o

    100

    eanIgarli

    temp

    1

    pHat

    MeanIrlicext

    omparin

    faqueousgarl

    faqueousgarl

    80

    T

    hibitioextracrature

    7

    whichaqueo

    hibitio

    ractinccoli

    Extend

    gMeanI

    icextractincu

    icextractincu

    75

    emperature,

    nZonetincubonE.

    usgarlicextr

    nZoneubatedandSt

    ed Ess

    hibition

    atedatvario

    atedatvario

    40

    oC

    (mm)tedatoliand

    12

    ctisincubat

    (mm)atvariph.a

    y Bio

    Zoneof

    stemperature

    spHonE.coli

    25

    faquevarious

    Staph.

    14

    ed(pH)

    faqueuspH

    logyLI

    00

    P

    .Coliand

    sonE.colian

    andStaph.a

    usa

    E.c

    Sta

    usnE.

    E.

    Sta

    JUANNE

    2206018

    age25of4

    Staph.a

    Staph.a

    oli

    ph.A

    oli

    ph.A

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    For Tukeys HSD test, a critical value, HSD is calculated. If the mean difference between groups is

    greaterthanHSDcriticalvalue,thereissignificantdifferencebetweenthesepairs.

    The ANOVA is carried out using Microsoft Excel 2007 while Tukey HSD9 is calculated manually. Below

    aretheresultsofmytests:

    Variable Bacteriastrain Fvalue Fcritical Indication

    Temperature

    E.Coli 151.73 3.48 ANOVAtestonthefoursetsofdatashowsthatthereisagroupwhichis

    significantlydifferentfromothersin

    theirownrespectivesetofdata.

    i.e.:meaninhibitionzoneofaqueous

    garlicextractincubatedatacertain

    temperatureorpHissignificantly

    largerthanthoseincubatedatother

    temperatureorpH.

    Staph.a 109.77 3.38

    pH

    E.Coli 346.87 4.07

    Staph.a 207.43 4.07Table8:ResultsofANOVAon4setsofdatatodeterminewhetherthereissignificantdifferencebetweenmeaninhibition

    zoneofaqueousgarlicextractincubatedatdifferenttemperatureandpHonE.ColiandStaph.a

    9Fordetailedcalculations,seeAppendix9

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    Onegroupissignificantlydifferentfromtheothersintheirrespectivesetofdata,thusTukeysHSDtest

    iscarriedoutandtheresultsareasshowninbelow:

    GroupCombination,oC

    (MeanInhibitionZoneofaqueousgarlicextract

    incubatedatdifferenttemperatureonE.coli)

    Mean

    difference,

    mm

    HSD

    critical

    value

    Implication

    100 80 7.3 2.40 significantdifference

    100 75 9.3 2.40 significantdifference

    100 40 16.0 2.40 significantdifference

    100 25 17.7 2.40 significantdifference

    80 75 2.0 2.40 Nosignificantdifference

    80 40 8.7 2.40 significantdifference

    80 25 10.3 2.40 significantdifference

    75 40 6.7 2.40 significantdifference

    75 25 8.3 2.40 significantdifference

    40 25 1.7 2.40 Nosignificantdifference

    Table9:ResultsofTukeysHSDtestonmeaninhibitionzoneofaqueousgarlicextractincubatedatdifferenttemperatureon

    E.Colitodeterminewhichgroupissignificantlydifferentthantheother

    GroupCombination,oC

    (MeanInhibitionZoneofaqueousgarlicextract

    incubatedatdifferenttemperatureonStaph.a)Mean

    difference,

    mm

    HSD

    critical

    value

    Implication

    100 80 12.33 3.53 significantdifference

    100 75 15.00 3.53 significantdifference

    100 40 19.67 3.53 significantdifference

    100 25 19.00 3.53 significantdifference

    80 75 3.33 3.53 Nosignificantdifference

    80 40 7.30 3.53 significantdifference

    80 25 6.67 3.53 significantdifference75 40 4.67 3.53 significantdifference

    75 25 4.00 3.53 significantdifference

    40 25 0.67 3.53 Nosignificantdifference

    Table10:ResultsofTukeysHSDtestonmeaninhibitionzoneofaqueousgarlicextractincubatedatdifferenttemperature

    onStaph.atodeterminewhichgroupissignificantlydifferentthantheother

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    GroupCombination,pH

    (MeanInhibitionZoneofaqueousgarlicextract

    incubatedatdifferentpHonE.Coli)Mean

    difference,

    mm

    HSD

    critical

    value

    Implication

    1 7 3.33 1.69 significantdifference

    1 12 10.33 1.69 significantdifference

    1 14 10.33 1.69 significantdifference

    7 12 13.33 1.69 significantdifference

    7 14 13.33 1.69 significantdifference

    12 14 0.00 1.69 Nosignificantdifference

    Table11:ResultsofTukeysHSDtestonmeaninhibitionzoneofaqueousgarlicextractincubatedatdifferentpHonE.Colitodetermine

    which

    group

    is

    significantly

    different

    than

    the

    other

    GroupCombination,pH

    (MeanInhibitionZoneofaqueousgarlicextract

    incubatedatdifferentpHonStaph.a)Mean

    difference,

    mm

    HSD

    critical

    value

    Implication

    1 7 2.00 3.46 Nosignificantdifference

    1 12 18.00 3.46 significantdifference

    1 14 18.00 3.46 significantdifference

    7 12 20.00 3.46 significantdifference

    7 14 20.00 3.46 significantdifference

    12 14 0.00 3.46 Nosignificantdifference

    Table12:ResultsofTukeysHSDtestonmeaninhibitionzoneofaqueousgarlicextractincubatedatdifferentpHonStaph.atodeterminewhichgroupissignificantlydifferentthantheother

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    5.0 Conclusion5.1 Part1:Temperature

    Graph1and2showsthatStaph.a(grampositive)ismoresusceptibletoantimicrobialeffectsofgarlicregardlessofhowaqueousgarlicextractispretreatedcomparedtoE.coli(gramnegative)astheinhibition zone ofStaph.a is always larger thanE.coli in this study. However, as this study does notconcernthesusceptibilityofdifferentbacteria,nofurtheranalysisiscarriedouttoverifywhetherthere

    issignificantdifferencebetweensusceptibilityofE.coliandStaph.a.Graph 1 indicates the effects of temperature on the antimicrobial activity of aqueous garlic

    extractonE.coliandStaph.a:

    1. Aqueous garlic extract incubated at room temperature, 25 oC yield the highest antimicrobialactivitywhileaqueousgarlicextractincubatedat100

    oChasnoantimicrobialactivity

    2. Antimicrobial activity has an inverse relationship with the incubation temperature of aqueousgarlicextract:astemperaturedecreasesfrom100oCto25oC,theinhibitionzoneincreases.

    TheTukeysHSDtestisusedtodeterminewhethertheantimicrobialactivityofaqueousgarlic

    extract incubated at 25oC is significantly higher than being incubated at other temperature. All

    calculations are based on significance level of 0.05, =0.05. Table 8 and table 9 (involvingE.coli andStaph.a) show that there is no significant difference between antimicrobial activity of aqueous garlicextract incubated at 80

    oC and 75oC. There is also no significant difference between antimicrobial

    activityofaqueousgarlicextractincubatedat40oCand25oC.

    Asaqueousgarlicextractincubatedat100oCdoesnotshowanyantimicrobialactivity,thereis

    significant difference in antimicrobial activity when compared to aqueous garlic extract incubated at

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    othertemperatures(80oC,75oC,40oC,25oC). Thisisshownbyresultsinthefirstfourrowsintable8

    and9.

    Aqueous garlic extract incubated at 75 oC and 80 oC shows significantly lower antimicrobial

    activitywhencomparedtoaqueousgarlicextractincubatedat40oCand25oC. Thisisshownbyresults

    in table 8 and 9, suggesting that theoptimum incubation temperature for aqueous garlic extracts

    antimicrobialactivityisbetween40oCand25oC.

    Thoughthereisnoconcreteevidencewhyaqueousgarlicextractlosesitsantimicrobialactivities

    whenincubatedathightemperature,therearetwoplausibleexplanations.

    Increaseintemperatureincreasesthekineticenergyofatomsinmolecules;atomsvibratemore

    violently. Ifkineticenergyofatomsinmoleculeovercomesbondenthalpy,bondsbetweenatomsina

    molecule are broken. The 3D structure of inhibitory components is altered and thus is rendered

    dysfunctional. If the inhibitory component is an enzyme, it is denatured, i.e.: loss of structure and

    function.

    Lastly, it is possible that the inhibitory components are volatile at high temperatures. The

    increased in kinetic energy causes molecules of inhibitory components to have enough energy to

    overcome the attractive forces between the molecules. Inhibitory components become gaseous

    moleculesandescapeintotheatmosphere.

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    5.2 Part2:pHGraph2showsthataqueousgarlicextractincubatedatpH7yieldshigherantimicrobialactivity

    comparedtopH1forbothE.coliandStaph.a.. AqueousgarlicextractincubatedatpH12and14doesnotshowanyantimicrobialactivityinbothstrainsofbacteria.

    Forbothstrainsofbacteria,theresultsoftheTukeysHSDtest(calculatedatsignificancelevel

    of0.05)intable10and11showthataqueousgarlicextractincubatedatpH1andpH7hassignificant

    differenceinantimicrobialactivitywhencomparedtothatofaqueousgarlicextractincubatedatpH12

    and14.

    Table 10 also indicates significant difference between antimicrobial activity of aqueous garlic

    extract incubated at pH 1 and pH 7 onE.coli. It appears that antimicrobial activity of aqueous garlicextractonE.coliissignificantlyhigherwhenaqueousgarlicextractisincubatedatpH7comparedtopH1. However, there is no significant difference between antimicrobial activity of aqueous garlic extract

    incubatedatpH1andpH7onStaph.a.asindicatedintable11.

    Table5showsdistilledwater(control)causesinhibitionzoneof78mminE.coli.Thisindicatesthatrandomerrors(possiblycontaminateddistilledwater)occurredduringthispartoftheexperiment

    because distilled water should not show any antimicrobial activity. Thus, inhibition zone of 78 mm

    causedbyhydrochloric acid andsodium hydroxide can bedisregarded, i.e.:antimicrobial activity onE.coliissolelycausedbyaqueousgarlicextract.

    ThispartoftheexperimentsuggeststhattheoptimumincubationpHforaqueousgarlicextract

    isfrompH1topH7(acidictoneutralmedium).

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    One possible explanation to aqueous garlic extracts lost of antimicrobial activity when

    incubatedinalkalinesolutionisthatthehydroxideions(OH

    )mayhaveaffectedthepolarbondswhich

    exist between atoms in molecule of the inhibitory components. Polar bonds exist between one atom

    whichispartiallypositiveandanotherwhichispartiallynegative. TheOH

    mayhaveneutralisedoralter

    thebondpolaritybetweenatoms,causingbondsbetweenatomstobreak. Brokenbondsinamolecule

    causesstructuralchangeofinhibitorycomponents,leadingtolossoffunction.

    Lastly, if the formation of inhibitory component involves enzymatic reaction, loss of

    antimicrobial activity may be due to denaturation of enzyme. Enzymes are pH sensitive; it functions

    optimally at certain pH. Besides the breaking of bonds between atoms in an enzyme which causes

    structuralchange,OH

    couldaffectthepolarityoftheenzymesactivesite. OH

    wouldgetattachedto

    positively charged active site, preventing negatively charged substrate from sitting on the active site.

    Enzymaticreactioncannottakeplace,causingthelossofantimicrobialactivity.

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    6.0 EvaluationandSuggestionPossibleErrors

    As this experiment is very time consuming, I was only able to do three repetitions for each

    bacteriastrainandatthesametimecontrolallthefixedvariables. Asthereareonlythreerepetitions,

    myresultsmaynotbeconclusiveduetothehighpossibilityofrandomerrors.

    Realising the possibility of anomalous results due to experimental techniques, I have included

    positive control in my experiment. Nalidixic acid (30g) and Methycillin (5g) is used as a positive

    control for E. coli and Staph. a respectively. According to M100S2 Performance Standards forAntimicrobial Susceptibility Testing; Second International Supplement, control limits for inhibitory

    diameter zones ofE.coli andStaph.a when tested with antibiotic discs are 2228mm and 1722 mmrespectively. TherecordedinhibitionzonesforStaph.awhentestedwithmethycillin(5g)is1719mmwhileforE.coliwhentestedwithNalidixicacid(30g)is2627mm. Theinhibitionzoneofbothbacteriastrain is well within the control limits, indicating that my methodology is valid despite possibility of

    randomerror.

    Limitations

    MystudyonlyinvolvesonestrainofE.coliandStaph.a;thusantimicrobialactivityofaqueousgarlic extract onE.coli,Staph.a, grampositive and gramnegative bacteria cannot be generalised. Inorder to generalise the antimicrobial activity of differently pretreated aqueous garlic extract on

    differentbacteria,differentstrainsofE.coliandStaph.a,aswellasother commongrampositiveandgramnegativebacteriashouldbetested. Testingaqueousgarlicextractwithawiderrangeofbacteria

    willenableustoestablishitsstatusasanantibiotic.

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    Duetolimitationofschoollabfacilities,aqueousgarlicextractwasonlyincubatedat5different

    temperatures;thusIcouldonlyapproximatethetemperatureatwhichantimicrobialactivityofaqueous

    garlic extract decreases. For further investigation, I would incubate aqueous garlic extract at

    temperature ranging between 80oC to 100

    oC (because this study shows that antimicrobial activity of

    aqueous garlic extract starts to decrease when incubated at temperature greater than 75 oC) to

    determinetheexacttemperatureatwhichthereisnoantimicrobialactivity.

    FurtherResearch

    ItwouldbeinterestingtoobservehowmultipleantibioticresistantstrainsofE.coliandStaph.areactstoaqueousgarlicextract. ShouldthegrowthofmultipleantibioticresistantE.coliandStaph.abeinhibited,itcouldleadtodiscoveryofanewgenerationofantibiotics.

    There is possibility of synergistic effect between aqueous garlic extract and acidic food

    substancesuchaslime,lemonandvinegar. Thoughthisstudyshowslowerantimicrobialactivitywhen

    aqueous garlic extract is incubated at pH 1, there is possibility of synergistic effect because acidic

    medium is known to be able to kill bacteria (just like the acidic medium in the stomach which kills

    ingested bacteria). Besides, there is no significant difference between antimicrobial activities of

    aqueousgarlicextractincubatedatpH1andpH7whentestedagainstStaph.a..

    Lastly, some unanswered questions are how exactly alkaline solution (pH) and temperature

    affects the antimicrobial activity of aqueous garlic extract. It is also unknown which inhibitory

    componentinhibitsthebacterialgrowth.

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    7.0 References1.Lewis,Ricki.U.SFoodandDrugAdministration.TheRiseofAntibioticResistantInfection.[Online]

    September1995.[Cited:June27,2007.]http://www.fda.gov/Fdac/features/795_antibio.html.

    2.Ankri,SergeandMirelman,David.AntimicrobialPropertiesofGarlic.MicrobesandInfection.

    Elesvier,Paris:s.n.,1999.

    3.PerformanceStandardsforAntimicrobialDisksSusceptibilityTests;ApprovedStandard NinthEdition.

    ClinicalandLabaratoryStandardsInstitute.2006,pp.M2A9.

    4.Heinrich,Michael,Pieroni,MichaelandBremner,Paul.PlantsasMedicine.[bookauth.]Ghillean

    PranceandMarkNesbitt.CulturalHistory

    of

    Plants.

    NewYork:Routledge,2005,pp.219221.

    5.Schou,Chad.EconomicBotanyLeaflets.[Online]may09,2000.[Cited:February24,2008.]

    http://www.siu.edu/~ebl/leaflets/garlic2.htm.

    6.InhibitionofMicrobialgrowthbyAjoene,aSulphurContainingCompoundDerivedfromGarlic.

    Nagavana,Rie,etal.11,NewYork:AmericanSocietyforMicrobiology,1996,Vol.62.00992240.

    7.IntroductiontoBiotic.AntibioticAttack.[Online][Cited:December12,2007.]http://maflib.mtandao

    afrika.net/TQA01074/english/bio.htm.

    8.

    Talaro,

    Kathleen

    Park.

    An

    Introduction

    to

    Cell

    and

    Procaryotic

    Cell

    Structure

    and

    Function.

    FoundationsinMicrobiology:BasicPrinciples,SixthEdition.NewYork:McGrawHill,pp.99101.

    9.McGrawHill.ANOVA.[bookauth.]JanWKuzmaandStephenEBohnenblust.BasicStatisticforthe

    HealthSciences4thedition.Singapore:MayfieldPublishingCompany,2001.

    10.Chapter2 Cellstructureandorganization.MicrobiologyandBacteriology::TheWorldofMicrobes.

    [Online][Cited:December12,2007.]

    http://www.bact.wisc.edu/Microtextbook/index.php?module=Book&func=displaychapter&chap_id=35

    &theme=printer.

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    8.0 AppendixesAppendix1:ExcerptfromTheRiseofAntibioticResistantInfection.

    URL:http://www.fda.gov/Fdac/features/795_antibio.html

    Diseasecausingmicrobesthwartantibioticsbyinterferingwiththeirmechanismofaction.Forexample,

    penicillin kills bacteria by attaching to their cell walls, then destroying a key part of the wall. The wall

    fallsapart,andthebacteriumdies.Resistantmicrobes,however,eitheraltertheircellwallssopenicillin

    can'tbindorproduceenzymesthatdismantletheantibiotic.

    In another scenario, erythromycin attacks ribosomes, structures within a cell that enable it to make

    proteins. Resistant bacteria have slightly altered ribosomes to which the drug cannot bind. The

    ribosomalrouteisalsohowbacteriabecomeresistanttotheantibioticstetracycline,streptomycinand

    gentamicin.

    Appendix2:Whyweretheadaptationsmade

    MuellerHintonagarwasnotusedinmystudybecausetheschoollabdidnothavethisparticulartypeof

    agar at the time of my experiment. Therefore, I used common nutrient agar from Gene Chemicals. I

    believethatthiswouldnot bemuchof a limitationto my experiment becauseE.ColiandStaph.aare

    common bacteria; therefore, it is able to survive in most environments. The nutrient agar from Gene

    Chemicals has a softer texture. Therefore, the thickness of nutrient agar in this experiment is 7mm

    insteadof4mm;theincreasedthicknessistocompensateforthefragilityofthenutrientagar.

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    Appendix3:NutrientAgarPlate

    Appendix4:MethodofPreparingBacteriaCulturefromMrLawrenceKok

    Screwcap bottles that are needed to contain bacteria culture and preprepared nutrient broth are

    sterilizedintheautoclave. PureEscherichiaColiATCC25922andStaphylococcusaureusATCC25923ispurchased in dry lypholised form. Two bottles are filled halfway with sterilized nutrient broth. Pure

    strainsofEscherichiacoliATCC25922andStaphylococcusaureusATCC25923areputintothenutrientbroth. Inoculatednutrientbrothisincubatedat37

    oCfor24hours.

    90mm

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    Appendix5:Comparisonofinoculumsturbiditywith0.5McFarlandStandard.

    Appendix6:Polystyreneasafloatinthewaterbath

    EscherichiaColiStaphylococcusaureus0.5McFarlandStandard

    microcentrifuge

    Polystyrene

    Waterbath

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    Appendix9:DetailedCalculationofANOVAfromMicrosoftExcel2007

    ANOVAfirststartswithnullhypotheses,,wheremeanofgroupsarehypothesisedtobethesame.: ANOVApartitionsthevarianceofallobservationsintotwosourcesofvariation:variationbetweenthe

    groupmeansandvariationwithinthegroupmeans. Thesamplingdistributionusedfortestingiscalled

    theFdistribution(inhonourofR.A.Fisher,whodevelopedFstatistic). Betweengroupvariance

    measurethetreatmenteffect,whichinthisstudyistheantimicrobialeffectsofaqueousgarlicextract

    whenincubatedatdifferenttemperatureandpH. BelowistheconventionalnotationofANOVAandits

    explanation:

    NOTATION MEANING

    or Withingroupvarianceormeansquarewithin

    or Betweengroupvarianceormeansquarebetween

    Degreeoffreedom Numberofgroups Numberofobservationineachgroup Totalnumberofobservation Significancelevel

    Sumofsquaresbetweengroup

    SumofsquareswithingroupTable13:Conventionalnotationsanditsmeaning

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    Ifthebetweengroupvarianceisgreaterthanthewithingroupvariance, ,thenthereistreatmenteffect. If

    ,thenthereisnotreatmenteffect.

    TestofHypothesisisperformedbycomparingtheratioofthetwovarianceestimates, .

    has 1degreeoffreedom;labelledas has degreeoffreedom;labelledas.

    Sourceof

    variation

    Sumof

    Squaresdf

    Mean

    Squares,

    Fratio CriticalF* Pvalue

    Between 1 1 , ComputergeneratedWithin Total 1Table14:OnewayANOVAtable

    *thecriticalFvalueisatsignificancelevelof0.05, 0.05andthevalueisobtainedfromthePercentilesofFDistributiontableinAPPENDIX10Abelow.

    TherearedifferencesbetweenatleastonepairofmeanswhenFratioisgreaterthancriticalF. In

    ordertofindoutexactlywherethedifferencesare,TukeysHSD(honestlysignificantdifference)is

    carriedouttomakemultiplecomparisons.

    Theformulaforcomputing HSDis:

    ,, Where

    isobtainedfromPercentagePointsoftheStudentizedRangefor2Through20treatmentstable

    inAPPENDIX10Bbelow.

    Thereissignificantdifferencebetweengroupsofacertainpairifthemeandifferencebetweenpairis

    greaterthanHSDvalue.

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    Forthisexperiment,IusedMicrosoft2007togenerateANOVAtables. Belowarethetablesgenerated:

    1.

    TheeffectsoftemperatureontheantimicrobialactivityofaqueousgarlicextractoninhibitionzoneofE.coli.

    Groups (temperature,0C) Count Sum Average Variance

    Group1(100oC) 3 0 0.00 0.00

    Group2(80oC) 3 22 7.33 0.33

    Group3(75oC) 3 28 9.33 0.33

    Group4(40oC) 3 48 16.00 1.00

    Group5(25oC) 3 53 17.67 2.33

    Table15:Summary

    SourceofVariation SS df MS F Pvalue Fcrit

    BetweenGroups 606.93 4 151.73 189.67 2.2117E09 3.48

    WithinGroups 8.00 10 0.80

    Total 614.93 14

    Table16:ANOVAtable

    4.650.83 2.40

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    2. TheeffectsoftemperatureontheantimicrobialactivityofaqueousgarlicextractoninhibitionzoneofStaph.a.

    Groups(temperature,0C) Count Sum Average Variance

    Column1(100oC) 3 0 0.00 0.00

    Column2(80oC) 3 37 12.33 0.33

    Column3(75oC) 3 45 15.00 1.00

    Column4(40oC) 3 59 19.67 0.33

    Column5(25oC) 3 57 19.00 7.00

    Table17:Summary

    SourceofVariation SS df MS F Pvalue Fcrit

    BetweenGroups 761.07 4 190.27 109.77 3.22E08 3.48

    WithinGroups 17.33 10 1.73

    Total 778.40 14

    Table18:ANOVAtable

    4.651.733 3.53

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    3. TheeffectsofpHontheantimicrobialactivityofaqueousgarlicextractoninhibitionzoneofE.coli.

    Groups(pH) Count Sum Average Variance

    Groups1(pH1) 3 31 10.33 0.33

    Groups2(pH7) 3 40 13.33 1.33

    Groups3(pH12) 3 0 0.00 0.00

    Groups4(pH14) 3 0 0.00 0.00

    Table19:Summary

    SourceofVariation SS df MS F Pvalue Fcrit

    BetweenGroups 433.58 3 144.53 346.87 8.31E09 4.07

    WithinGroups 3.33 8 0.42

    Total 436.92 11

    Table20:ANOVAtable

    4.530.423 1.69

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    4.

    TheeffectsofpHontheantimicrobialactivityofaqueousgarlicextractoninhibitionzoneofStaph.a.

    Groups(pH) Count Sum Average Variance

    Group1(pH1) 3 54 18.00 3.00

    Group2(pH7) 3 60 20.00 4.00

    Group3(pH12) 3 0 0.00 0.00

    Group4(pH14) 3 0 0.00 0.00

    Table21:Summary

    SourceofVariation SS df MS F Pvalue Fcrit

    BetweenGroups 1089.00 3 363.00 207.43 6.35E08 4.07

    WithinGroups 14.00 8 1.75

    Total 1103.00 11

    Table22:ANOVATable

    4.531.753 3.46

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    APPENDIX10A:PercentilesofFDistribution(9)

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    Extended Essay Biology LIMJUANNE002206018

    APPENDIX10B:PointsoftheStudentizedRangefor2Through20treatments(9)