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  • 7/25/2019 Medicine-Respiratory Physiology lectures.pdf

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    . MDPhD [email protected]

    htt : www.molcellbiolu atras.net

    20122013

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    https://eclass.upatras.gr/courses/MED823/

    Koeppen BMandStantonBA(eds.).Berne&LevyPrinciplesofPhysiology,6thEdition.Mosby,MarylandHeights,MS,2009BoronWF,Boulpaep EL(eds.).MedicalPhysiology:acellularandmolecularapproach.ElsevierSaunders,Philadelphia,PA,2005.

    , . .

    approach.McGrawHill,NewYork,NY,2011.PaulevZubieta (eds.).NewHumanPhysiology|2ndEdn:htt ://www.zuniv.net/ h siolo /book/index.htm

    WestJB.AWebbasedcourseoflecturesinrespiratoryphysiology.Advan Physiol Edu 2011;35:249251(freely

    availableathttp://meded.ucsd.edu/ifp/jwest/)

    WestJB.Internetbasedcourseonpulmonarypathophysiology.Advan inPhysiol Edu 36:12,2012.(freelyavailableathttp://meded.ucsd.edu/ifp/jwest/ )

    20122013

    2

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    .

    .

    3.

    4.

    5. 6.

    7.

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    20122013

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    2

    1:34 2

    ~1:1000

    20122013

    8

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    (2) (CO2)

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    20122013

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    1. ( )2.

    3.

    4.

    (1:3) 250ml 4000ml.

    2012201311

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    Boyle

    x =

    Charles

    / =1 1= 2 2 1 1= 2 2

    2012201312

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    P r

    L

    Poiseuil le=

    = 8 xx/ x4

    2012201313

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    2

    C2

    1

    Fick= x(1 2) / 1 2 =

    2012201314

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    P = KhC

    Henry= Henry x

    2012201315

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    P =P +P +P +...P

    Dalton=

    2012201316

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    ,2ER =

    2=VO2/DO2

    =0,25

    RQ R =VCO2/VO2~0,8

    =DO2

    =VO2=

    =VCO2= C2

    = 2

    2012201317

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    ( )

    C H O + x + /4 - z/2 O ---> x CO + /2 H O

    RQ R = VCO2/VO2

    = + -

    : 0,7 < R < 1,0

    ~ ,

    /H/C

    = .

    (z ~ 0): R = 0,7

    2012201318

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    ,partialpressure,P (mmHg cmH2O) ,fraction,F( )

    , ,

    P=FxPtot

    P=Fx760mmHg

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    2012201320

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    o = mm gFtot=1,00

    =

    Ptot Pp~F

    Ptot Pp~F

    Ptot=Pp

    2012201321

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    2012201322

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    AB

    2012201323

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    Cst=compliance,static= Paw=pressure,airway=

    , PB=pressurebarometric= S O =saturation,mixedvenous,ox en=

    PaO2=pressure,arterial,oxygen=

    P(Aa)O2=pressure,alveolararterial,oxygen=

    PaCO2=pressure,arterial,carbondioxide=

    2012201324

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    VO2=flux(uptake),oxygen= VCO

    2

    =flux(excretion),carbondioxide=

    VI=volume,inspiratory= V =volume,ex irator =

    FiO2=fraction,inspired,oxygen=

    VD=vo ume, ea = VA=volume,alveolar= ()

    T , DLCO=diffusion,lung,carbonmonoxide=

    20122013

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    ~4l 5%/

    ~1kg 60% 40%

    ~ 2

    ~60.000

    , ,

    )

    2012201326

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    370C (40mmHg) (>10m)

    ()

    2012201327

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    ~20mL

    1015.000L

    8cmH2O/L/sec ,

    20122013

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    2012201329

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    15min

    ()

    2012201330

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    ,

    2012201331

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    (,)

    2012201332

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    2012201333

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    2012201334

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    (mL)

    >1

    150(

    )

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    5m2

    5

    0mL,

    30cm,

    20

    ,

    70m2

    ,2500m

    0,5

    cm

    2012201336

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    10

    8

    :

    2012201337

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    8x8x8mm

    10.000

    :

    2012201338

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    500.000

    :

    2012201339

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    ,

    /

    res irator s nc tialvirus,RSV)

    .

    2012201340

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    .

    .

    2012201341

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    , , 2 (,

    ) 10 2

    1 () 8

    2012201342

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    2012201343

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    ()

    1m

    0,26ml/kgNoppen M et al. Am J Respir Crit Care Med. 2000 Sep;162:1023-6.

    2012201344

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    () /

    :0.260.1ml/kg

    : ,,,,

    : , ,

    ,,

    2012201345

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    2012201346

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    . ( ) ()

    .

    2012201347

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    m 500.000.000

    1000/ ( 1:1) :, 9698%

    :, ,

    :12m:

    , , ,

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    1. 2. 3. 4. 5. 6. CLARA7. 8.

    . 10.

    11. 12.

    2012201349

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    2012201350

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    2012201351

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    2012201352

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    2012201353

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    2012201354

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    Thiberville L,Salan M,Lachkar S,DominiqueS,MorenoSwirc S,VeverBizet C,BourgHeckly G.Humaninvivo fluorescence

    microimaging ofthealveolarducts andsacsduringbronchoscopy.Eur Respir J2009;33:97485.

    2012201355

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    2012201356

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    , , , ,.

    ( ) (

    : : : ( Kultschitzky):

    2012201357

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    2012201358

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    2012201359

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    : ,

    2012201360

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    2012201361

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    7080m2

    :70mL , >200mL ,

    =10mmHg ,

    >50m

    2012201362

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    2012201363

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    3

    ,,, ,,. =120mmHg =80mmHg

    1/3

    2012201364

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    2012201365

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    2012201366

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    ()

    , (, ,

    ( ,

    ( ,,)

    2012201367

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    ()

    ()

    (NANC) ( )

    (NANC

    ():, P

    : ,vasoac veintestinalpeptide (VIP)

    2012201368

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    2012201369

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    2012201370

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    ,

    :

    centralpatterngenerator(CPG)

    2012201371

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    /

    2012201372

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    2012201373

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    (35)

    : 1cm, ~5cmH2O

    : 10cm,

    150200cmH2O

    2012201374

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    (1

    3: 3:

    20122013

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    :

    ():

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    2012201376

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    .

    ( ), , ,

    .

    , GuillainBarre, ,

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    2012201377

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    1. .

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    2012201378

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    250/ 20122013

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    A,B,

    C,D,D: ( ) B,C:

    20122013

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    )

    Clara

    2012201381

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    1.

    2012201382

    2. 3. KOHN

    4. LAMBERT

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    2012201383

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    .

    .

    (HYALINE MEMBRANEDISEASE,

    (INFANTRESPIRATORY DISTRESSSYNDROME,RDS) 1959Avery Mead

    . HMD, RDS,

    . .

    .

    .

    2012201384

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    2012201385

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    4:

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    2012201386

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    :

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    (PaO2100mmHg)

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    2012201388

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    91

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    ) .

    .) . .) .

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    .)21% 79%.)21% 79% .E) .

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    .) . .) .

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    .) .) .E) .

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    ) .B) .

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    .

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    ) .) .) .

    A) CO2

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    E) .

    20122013

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    .

    B) .

    .

    ) . .

    (8848), 253mmHg.HFiO2 PO2 ,A)0,10 200mmHg )0,25 50mmHgB)0,15 250mmHg )0,30 350mmHg

    )0,21 53mmHg

    20122013

    98

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    .

    B) .) .

    .) .) .

    ;A)

    B) )

    ) )

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    . MDPhD

    [email protected]

    htt : www.molcellbiolu atras.net

    20122013

    100

    .

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    .

    3.

    4.

    5.

    6.

    7.

    20122013

    101

    :

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    : :

    =

    20122013

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    (4) (4)

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    ( ) ( ).

    (tidalvolume,VT)2.

    . (inspiratory capacity,IC=VT+IRV)

    (inspiratory reservevolume,IRV)

    2. (functionalresidualcapacity,FRC

    3.

    ex irator reserve

    = +

    3. vitalca acit VC=VT+IRV+volume,ERV)

    4. ERV)

    4. =, ,

    +ERV+RV=IC+FRC)

    20122013

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    20122013

    104

    4

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    20122013

    105

    : = .

    (VL = VCW)

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    20122013

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    1.

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    . 6070%TLC

    3. ()

    1 2

    FRC

    20122013

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    :V=10%TLC

    :V=6070%TLC

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    20122013

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    1.

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    10%TLC(6070%TLC

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    RV,FRCTLC

    FRC TLC()

    FRC TLC

    ( )

    20122013

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    3. ()

    +

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    FRC V>FRC

    FMUS=(FL+FCW)

    V=FRC,FMUS=0 RVTLC

    RV()

    TLC

    ,

    )

    20122013

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    ( )

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    20122013

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    > 75%TLC

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    IRV ERV

    RV/TLC

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    , , , , , , FRC

    RV,TLC

    TGV,thoracicgasvolume~TLC

    RV,FRC

    > )

    20122013

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    VT

    VC,FVC,FEV1,FEV1/FVC VCVT:IRV,ERV :RV,TLC,FRC

    20122013

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    ( TLC)

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    20122013

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    FRC VC = 4 L VT =

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    VC=4L,VT=0,5L,IRV=2,5L ERV=1L FRC . FRC ,

    =0,1% V1=10L.

    0,08%.

    RV TLC;

    ;

    20122013

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    C1 x V1 = C2 x (V1 + V2) V2 = FRC

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    C1xV1=C2x(V1+V2) V2=FRC,

    FRC=C1V1/C2 V1=V1x(C1/C2 1)

    = x , , = x , = , RV=FRC ERV=2,5L 1L=1,5L

    = = , = ,

    RV/TLC =1,5L/5,5L=0,27

    0,25.

    .

    , , ( )

    .

    20122013

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    ( TGV)V

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    P1XV=P2(VV)

    V=TGVVP1,2

    TGV=P2/(P1P2)xV

    20122013

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    TGV VC = 4

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    VC 4L,VT=0,5L,IRV=2,5L ERV=1L TGV . TLC

    , TGV P1=100mmHg. .

    =L P1=85 mmHg.

    TGV; TGV TLC ;

    20122013

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    P1 x V1 = P2 x V2 V1 = TGV V2 = TGV V,

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    P1xV1 P2xV2 V1 TGV V2 TGV V,

    P1xTGV=P2x(TGVV)

    = x TGV=85mmHg/ (100mmHg 85mmHg)x 1L

    = ,

    OTGV 0,2L TLC . 0,2L.

    20122013

    121

    (..

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    TLC= TGV

    TLC< TGV

    20122013

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    20122013

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    Compliance,static,Cst =,

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    , FRC

    ,specificcompliance,Csp=Cst/V,

    ,elastance,Est=P/V =

    =

    =

    20122013

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    20122013

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    20122013

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    ,V =V

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    PL=PAPpl ( ) PW=Ppl PB( )

    PBAtmosphere Prs=PA PB(

    )

    PB Atmosphere

    PW

    20122013

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    TLC

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    RV

    http://oac.med.jhmi.edu/res_phys/

    20122013

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    CE 00

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    0

    C

    D

    E

    0

    CD

    E 0

    20122013

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    .

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    PB=0cmH2OP =0cmH OPpl=5cmH2O

    V=0L/secV=FRC

    20122013130

    .

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    PB=0cmH2OP =1 cmH OPpl=7 cmH2O

    V=0,5 L/secFRC+VT>V> FRC

    20122013131

    .

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    PB=0cmH2OP =0cmH OPpl=8 cmH2O

    V=0L/secV=FRC +VT

    20122013132

    .

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    PB=0cmH2OP =+1 cmH OPpl=6 cmH2O

    V=+0,5 L/secFRC+VT>V> FRC

    20122013133

    .

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    PB=0cmH2OP =0 cmH OPpl=5 cmH2O

    V=0L/secV= FRC

    20122013134

    .

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    PB=0cmH2OP =25 cmH OPpl=30 cmH2O

    V=20 L/secFRC

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    PB=0cmH2OP =0 cmH OPpl=30 cmH2O

    V=0L/secV= TLC

    20122013136

    8.

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    PB=0cmH2OP =+50 cmH OPpl=+40cmH2O

    V=+25L/secFRC

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    (PW=

    ew

    FRC

    () ()

    () RV

    ,

    20122013138

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    20122013139

    HEIMLICH

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    (airway,)

    20122013140

    :,

    Reynolds

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    141/379

    Reynolds

    e= rv >2000

    20122013141

    Poiseuille (F): :

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    : .

    : + : =( )2

    P r

    L R

    20122013142

    resistance,airways Raw

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    airways,Raw

    8

    >2mm

    =1

    cmH2O/L/sec

    20122013143

    awTLC awRV

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    Raw

    ,

    RawHis,ACh,PG,TX,LT

    20122013144

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    Raw:

    20122013145

    20%

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    80%

    20122013146

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    147/379

    20122013147

    ,

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    ,

    FRC

    ,equalpressurepoint,EPP:P

    PL

    =PAW

    FRC

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    149/379

    35

    20122013149

    0 0

    EPP 2515

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    150/379

    EPP 25

    +50 +50

    :

    ,

    , ,

    ,

    20122013150

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    20122013151

    nsp exp ()

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    :

    ()Cd n

    =

    20122013

    152

    W=PxV

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    PV V

    20122013153

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    20122013

    154

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    20122013155

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    20122013156

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    20122013157

    . ,

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    ,

    .

    , , , , .

    .

    . .

    .

    20122013

    158

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    /

    ()

    , (),

    ,

    20122013159

    FVC

    FEV1

    FEV1/FVC ~

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    160/379

    RV ~

    ~

    RV/TLC

    Cst,Cdyn ~

    W W W

    f (RR)

    20122013160

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    20122013161

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    20122013162

    1. .

    .

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    .3.

    (Prs) .4. FRC,

    Prs () () .

    5. .

    20122013163

    6. ( , ()

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    164/379

    .

    7. ( ) ,

    .. .

    9.

    .

    20122013

    164

    10.

    .11.

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    165/379

    .12.

    .13.

    .14.

    .

    20122013165

    15. , .

    16. (,

    ,

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    166/379

    . , , , .

    17.

    . , , .

    .

    , .

    20122013

    166

    (FRC))

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    167/379

    .B

    .)

    .

    ) .

    ) .

    20122013

    167

    ;) .B) .

    ) .

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    ) .) .

    A .B) .) .

    ) , . , .

    20122013

    168

    ) .

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    169/379

    . .

    )

    .) .)

    , .

    ) , . , .

    ) .

    20122013

    169

    ) FVC FEV1, FEV1/FVC .

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    ) FEV1 FEV1/FVC , FVC. .

    ) TLC RV/TLC.

    ) .) , .) , .) .

    .

    20122013170

    ) FVC FEV1, FEV1/FVC .

    ) /

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    171/379

    ) FEV1 FEV1/FVC , FVC. .

    ) TLC RV/TLC.

    ) /

    .) , .) , .

    .) .

    20122013171

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    . MDPhD

    [email protected]

    htt : www.molcellbiolu atras.net

    20122013172

    .

    .

    3.

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    4.

    5.

    6.

    7.

    20122013

    173

    2

    F

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    F

    VV

    D /

    V/Q

    Q

    D

    20122013174

    FiO2

    FiO2

    PB

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    PB

    20122013175

    ,,

    ,

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    . : , ,.

    . 2(12L/min)

    , , .

    Venturi. , Venturi.

    20122013176

    VENTURI

    VENTURI

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    VENTURI 100%2 O2,

    , VAIR .FiO2 , VO2. en ur

    VO2,

    AIR

    FiO2.

    20122013177

    VE =VTxRR= x

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    V =500mlx12 min

    =6lt/min Vmax =FEV1x30 min

    ~100 lt/min (x 15)

    : PAO2 PACO2

    20122013178

    VE =V+VDf x V = f x V + f x VVE =V+VDVE =volume,expiratory; V

    A

    =volume,alveolar; V volume dead

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    AVD =volume,dead;

    E ,VA =ventilation,alveolar;

    V =ventilation dead

    VE ~ 500ml

    VA ~ 350 ml~

    VE ~ 6L

    VA ~ 4L~D D

    20122013

    179

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    20122013180

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    20122013181

    2

    P

    (F) -(P)

    ( mmHg)

    0 21 0 20 0 13 0 12 0 06

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    0,21

    0

    0,20

    0

    0,13

    0 05

    0,12

    0 05

    0,06

    0 07

    0

    0,79

    0,06

    0,74

    0,06

    0,75

    0,06

    0,75

    0,07

    0,81 1,00 1,00 1,00 1,00 1,00

    20122013182

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    AaDO2 = /4 + 4 mmHg

    20122013183

    PAO2 = 0,21(76047)40/0.8

    = 0,21x71350

    = 100 mmHg

    ,

    PAO2 = 1,0(76047)40/0.8

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    PAO2 1,0(760 47) 40/0.8

    = 663 mmHg

    PAO2 = 0,21(57047)40/0.8 PAO2 = 0,21(42047)40/0.8

    = , x

    = 60 mmHg

    = , x

    = 28 mmHg

    20122013184

    1

    CO2()

    2

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    ( )

    PACO2 = VCO2 X (PB-PH2O)/(VE-VD)

    20122013185

    PaO2 = 80-100 mmHg < PAO2

    PaCO = 35-45 mmHg ~ PAO2

    : PaO2 < 80 mmHg

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    g : PaCO < 35 mmH

    : PaCO2 > 45 mmHg

    20122013186

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    20122013187

    .

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    20122013188

    2.

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    20122013189

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    20122013190

    +

    =

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    20122013191

    =

    .

    Bohr

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    Bohr

    ()

    2.

    Fowler

    VD

    20122013192

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    193/379

    20122013193

    =

    , D mL, VT=500mL 12 (f=12/min). VA V ;

    ,

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    , T1= m . VA1 VD1;

    , f2=.

    VA2

    VD2;

    VD, f VT;

    20122013

    194

    VD =VD/VTxVE=VD/VTx(fxVT)

    =150mL/500mLx12/minx500mL 1

    =1800mL

    =1,8LV =fxV=fx(VT VD)

    =12/minx(500mL150mL)

    VD2 =VD2/VT2xVE2=VD2/VT2x(f2xVT2)

    =150mL/500mL x30/minx500

    =4200mL

    =4,2L=4500mL= 4 5 L x 2 5

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    =4 5 L x2 5VD1 =VD1/VT1xVE1=VD1/VT1x(f1xVT1)

    =150mL/1000mLx12/minx1000mLV2 =f2xV2=f2x(VT2 VD2)

    =30/minx(500mL150mL)=1800 mL

    =1,8 L(~)=10500mL

    =10,5 L(x2,6)

    1 = 1x 1= 1x T1 D1

    =12/minx(1000mL150mL)

    =

    =10,2 L(x2,5)

    20122013195

    , T

    ( ,VD), ,V .

    ( VT),

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    196/379

    ( T), ( ,VD), ( ,VA).

    20122013196

    . VD=150mL, VT=500mL 12 (f=12/min). V V ;

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    197/379

    , . VD=150mL, VT=2500mL 30 (f =30/min).

    A VD;

    20122013197

    :

    VD =VD/VTxVE=VD/VTx(fxVT)=150mL/500mL x12/minx500mL

    =1800mL =1,8L

    V =fxV=fx(VT VD)

    =12/minx(500mL150mL)

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    =4200mL =4,2L

    :

    (

    D = D Tx E= D Tx x T=150mL/2500mL x30/minx2500mL

    ,

    = = , ,

    V =fxV=fx(VT VD)

    VD .

    =70500mL =70,5L(x17)

    20122013

    198

    1.

    2.

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    199/379

    ~500mL (10% )

    ~

    (1/10

    20122013199

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    20122013200

    1/3

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    201/379

    ( 200%

    20122013201

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    202/379

    1. :

    20122013202

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    20122013203

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    2.

    20122013204

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    3. PA

    O2:

    20122013205

    Q

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    206/379

    Q

    20122013206

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    4. :

    20122013207

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    208/379

    20122013208

    . . .

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    Pc:

    p : ,

    is: ,

    PVR:,,

    20122013209

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    210/379

    20122013210

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    20122013211

    SHUNT

    -

    -

    -

    100% 2

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    212/379

    -

    - 100%

    20122013212

    FiO2 = 0,21

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    213/379

    ,

    20122013213

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    214/379

    (SHUNT)

    20122013

    214

    /

    :VQ

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    215/379

    Q

    20122013215

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    216/379

    20122013216

    D

    C2

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    217/379

    2

    T

    20122013

    217

    PACO2 = PaCO2 = 35-45 mmHg

    A 2 a 2 -shunt (2-3% )

    AaDO = /4 + 4 mmHg

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    218/379

    Pa/AO = PaO PAO

    Pa/AO2 > 0,8

    PaO2/FiO2

    ~ 500

    20122013

    218

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    219/379

    20122013219

    FiO2 AaDO2 a/APO2

    0,21 15 0,8

    , ,

    0,40 26 0,8

    0,50 32 0,8

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    220/379

    0,60 40 0,8

    1,00 60 0,8

    20122013220

    V/Q = 1

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    ~~

    ~V

    ~Q~V/Q

    ~D

    20122013

    221

    PAO2

    V/Q = 1,0

    70

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    222/379

    70

    40 ~

    ,

    20122013

    222

    V/Q = 0,5

    70

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    223/379

    70

    50

    ,

    20122013

    223

    V/Q = 1

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    ~

    20122013224

    V/Q = 0,5

    DL = AD/T

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    225/379

    80

    20122013

    225

    (SHUNT)

    =

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    ~

    V/Q = 1

    / V/Q = 0

    20122013226

    (SHUNT)

  • 7/25/2019 Medicine-Respiratory Physiology lectures.pdf

    227/379

    = ~

    V/Q = 0,7

    20122013227

    V/Q

    V/Q = 0,5

  • 7/25/2019 Medicine-Respiratory Physiology lectures.pdf

    228/379

    ,

    20122013

    228

    V/Q = 1

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    229/379

    ~

    V/Q = 1

    (SHOCK)

    20122013229

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    ~ ~

    20122013230

    PaO2 AaDO2 PaCO2 PaO2

    PAO2 ~ ~

    ~

    ~

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    231/379

    SHUNT ~ ~ SHUNT ~

    ~ ~

    20122013231

    PaO2 PaCO2

    ~ PAO2

    (shunt)

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    232/379

    V/Q

    20122013232

    40

    .:

    pH =7,40

    PaCO2= 44mmHg

    PaO2= 70mmHg AaDO2, PaO2/FiO2 Pa/AO2?

    ?

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    233/379

    0 8.

    20122013233

    PAO2 =FiO2(PBPH2O)PaCO2/R

    =0,3(76047)44/0,8

    =161mmHg

    PaO2/FiO2=70/0,3=233

    AaDO2=PAO2 PaO2 Pa/AO2=PaO2/PAO2=16170mmHg

    =81mmHg

    = mm g mm g

    =0,43

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    g

    a (40/4+4mmHg=14mmHg). FiO2=0,30.

    PaO2/FiO2 .ToPa/AO2 (0,75).

    ( shunt).

    20122013234

    1.

    .2. (Pgas) (Fgas)

    .3. .

    O2,N2,

    4. O2 .

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    235/379

    . AaDO2, O2.

    6. CO2

    CO2.

    20122013

    235

    7. CO2

    (VA) , CO2.

    . 40 mmHg.

    9.

    10. (VD) (VT).

  • 7/25/2019 Medicine-Respiratory Physiology lectures.pdf

    236/379

    . , .

    12. .

    20122013

    236

    13.

    .14. 7

    .15.

    16. (PPA)

    PLA T

  • 7/25/2019 Medicine-Respiratory Physiology lectures.pdf

    237/379

    PLA T .17.

    ..

    .

    20122013

    237

    19. (V/Q)

    , .20. , V/Q 1 .

    . .

    22. , .

    23. 8 : , PAO2,

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    238/379

    , , ,

    shunt, V/Q, .

    20122013238

    12 , 450

    ml 150ml , ,:)2,9, 1,5 2,1.

    B)5,4,1,8 3,6.

    )6,8,1,8 5,0. 8 2 6 2 2 0 .)12,0,3,4 8,6.

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    239/379

    = = = = = , , , , 1,0, (PAO2) )50mmHg.

    .)110mmHg.

    ) VCO2. 100mmHg

    .

    20122013239

    .B) .) .

    .

    ) .

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    ) >) =

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    241/379

    )

    ) .)

    .) .

    20122013241

    .B).) .

    .) .

    ) .B) .

  • 7/25/2019 Medicine-Respiratory Physiology lectures.pdf

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    )

    ) .) . .)

    20122013242

    =

    , .B) FiO2.) .

    .) .

    ) .B) .

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    243/379

    ) .) (shunt). CO2 .) O2 ().

    20122013243

    . MDPhD

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    244/379

    [email protected]

    htt : www.molcellbiolu atras.net

    20122013244

    .

    .

    3.

    4.

    5.

    6.

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    245/379

    7.

    20122013

    245

    : :

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    246/379

    20122013246

    ,2ER =

    2=VO2/DO2=0,25

    RQ R =VCO2/VO2

    ~0,8

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    =DO2

    =VO2=

    =VCO2= C2

    = 2

    20122013247

    C2

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    T

    Fick

    D

    = A x/x(1 2)

    20122013248

    :1.

    2.

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    249/379

    20122013249

    1. enry

    = Henry x

    P=KhC C=P/Kh

    Henry's ( 298,15K)

    ,

    O2 769.23

    C2/

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    H2 1282.05CO2 29.41

    O2 = 770/30 = 26

    2 .

    He 2702.7

    Ne 2222.22

    Ar 714.28

    CO 1052.63

    20122013250

    2.

    Graham

    , 1 / 2 = 2/ 1C2/O2 = O2/ CO2 = 32/44 = 0,86

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    20122013251

    DCO2/DO2 = 26 x

    0,86 ~ 22

    -

    25

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    !!!

    L

    Vgas = DL x (P1-P2)

    20122013252

    ;

    1. 2.

    DL = A x D / T

    Vgas = DL x (P1-P2)

    1 2

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    20122013253

    ()/ (V) n x

    =0

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    N=1=20 =2 x

    V=n4/3r =n4/3(x/2) =n4/3x /8=4nx /83=x /6

    A=n4r2

    =14(x/2)2

    =4x2

    /4=x2

    20122013254

    =3

    N=8 =23 =2

    r=x/4

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    x

    V=n4/3r =84/3(x/4) = 32/3x /64=x /6=V

    A=n4r2

    =84(x/4)2

    =32x2

    /16=2x2

    =2A

    20122013

    255

    =6

    N=64=26 =2 r=x/8

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    x

    V=n4/3r =644/3(x/8) = 256/3x /512=x /6=V=V

    A=n4r2

    =644(x/8)2

    =256x2

    /64=4x2

    =2A=4A

    20122013

    256

    20112012

    600 1.0x

    2

    )

    400

    (

    200

    .

    (x3

    /6)

    0 0.0

    = 3 ~

    ()

    , ,

    ( 0) 2 0 125 2

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    (=0), =x2=0,125m2

    8 (=3), =2x2=0,25 m2

    64 (=6), =4x =0,5 m 135000000 (=27), =512x2=64 m2

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