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    drug delivery system,

    smart hydrogel, modeling,

    heat and mass transfer, polymer

    ~

    || ~

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    Key Words

    Drug Release Modeling from a Novel Temperature-responsive

    Polymeric System

    ~

    { }

    3 962-752 6831

    5523-6101 : NSSI

    * { |: ri.ca.amu@razasuoris

    ~ 1* 1 2

    1- ~ ~ ~ ~ } 76311/99165

    2-{ { ~ ~ ~ ~ ~ } 341/55141

    : 11/6/58 : 7/11/58

    } }} : ri.ca.ippi.spij//:ptth

    Archive of SID

    www.SID.ir

  • Arch

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    SID

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    { } 3 - 6831 258

    Archive of SID

    www.SID.ir

  • Arch

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    SID

    ~ tesT{ ~ - } )mT( )tesT( ~.

    ~ } ~ ~ ~ ~.

    } | } ~ | )SC(| ~.

    }|

    } ~ . ~ } |

    ~ . { ~ - ) (

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    |~. { )no( )ffo(|

    |. |

    )nnoo(

    ~ } tesT| { ~ . }

    | )0= t( } tesT|

    T| ~ ~

    ~~ }| :~~ ~ {~ }

    ~~

    . ~~ } { |}~ { _ ~ ~ ~ .

    { ) galt = t( ~ |. 2 |

    { )no( | } |~.

    259

    ~ ~ |

    { } 3 - 6831

    1- | . 2- { no|.

    )(

    )(

    )(

    Archive of SID

    www.SID.ir

  • Arch

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    SID

    )ffffoo((

    ~ ~{ | ~

    et )galt>et( T }

    tesT } tesT)T( ~. ~~ ~ }

    } ~ { ~

    { |}~. no ~~ | |~. {

    ~ } ~ } |

    | |~. 3 ~ ffo ~

    |~ ~ ~ |~.

    { ~ | { no| ffo| {

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    } tesT| } ~ } . | }

    { . ~ {

    { no) {( ffo) }( . |

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    ~ ~ |

    { } 3 - 6831 260

    )(

    )(

    )(

    3- { ffo|.

    Archive of SID

    www.SID.ir

  • Arch

    ive of

    SID

    261

    ~ ~ |

    { } 3 - 6831

    ) 4( } } }

    {{ 1L| 2L| 3L|- . } ~ } }

    { )t(S| |. } } { } no| ffo|

    |.

    ~ )nnoo(

    { } |

    no | 0= t| }

    tesT| } )T( ~ ~. )0 = t( | }

    ~ - ))t(S( 0 = x| . ~ ~~ }

    } { )t(S| x| ~ 0{ 1L| {|~. | ~ {{ lT| sT|

    } {{ pT| dT| { |

    ~ t| } )x( ~ :|

    )1(0x3L- )t( 2C + x)t( 1C = )t,x( pT

    )2()t(Sx0 )t(4C + x )t( 3C = )t ,x( lT

    )3(1Lx)t(S )t(6C + x)t(5C = )t,x( sT

    )4(2Lx1L )t( 8C + x)t( 7C = )t,x( dT

    )1( { )4( )t(8C- )t(1C| { } }~. { { ~

    )1( { )4( . ~ : |

    )5(

    T = )t,3L-( pT|

    )6( )t,0( 1T = )t,0( pT|

    )8( mT = )t,)t(S( sT = )t,)t(S( 1T|

    )01( )t,1L( sT = )t ,1L( dT|

    )31( 0 = )0(S|

    )5( { )21( )31( |~. pk| lk| sk| dk| {{

    ~ ~ } }~. mT L

    {{ {~ }~.

    )7( )9( )11( {{ }

    4- | | .

    x

    )t,0(l

    T

    lk

    x

    )t,0(Tk

    pp

    =

    )7(

    dt

    )t(dSL

    x

    )t),t(S(l

    T

    lk

    x

    )t),t(S(Tk ss =

    )9(

    x

    )t,l

    L(Tk

    x

    )t,l

    L(Tk

    dd

    ss

    =

    )11(

    0x

    )t,L(T 2d=

    )21(

    Archive of SID

    www.SID.ir

  • Arch

    ive of

    SID

    ~ ~ |

    { } 3 - 6831 262

    ~ x| 0 )t(S| 1L| ~|~ )7( )9 ( } |

    | ~ . )9( ~ } ~ .

    )8( | { { ~ ~ } ~ {

    |~ } ~ . )21( { } ~ . |

    )5( { )21( )1( { )4( { | }

    ~: |

    )61( mT = )t,x( sT|

    )71( mT = )t,x( dT|

    )61( )71( |~ ~ } mT| |~

    |. || ~ } { |

    | { { .

    { )galt( | } |

    ~ |~ { { )

    T( _ ~ {

    ~. galt { { ~

    ))t(S( ~ 1L} ~. { galt~ }~ { )t(S . {

    )51( )61( )9( { ~ )31( { )t(S

    ~:

    } { ~ :

    { )t(S ~ 0{ 1L } )81( ~ ~ } ~. {

    )t(S :

    )02( 1L galt ~:

    { } |

    { ~ ~ { ~ |.

    ) ~ ( { ) 0 = t( galt| { |}~. {

    | { ~ ~ | } galt| ~. ~ }

    { . } } ~

    )ecruos etinifni( ~ )knis etinifni( |{ {~ {{

    sC| . |{ | )pC(

    ~ )lC( { } )x( ) 5(. |{ t| |

    ~ : |

    +

    +

    +

    = T)t(Spk3Llk

    )mTT(3Llkx)t(Spk3Llk

    )mTT(lk)t,x(pT )41(

    ++

    +

    = T)t(SkLk

    )TT(Lkx

    )t(SkLk

    )TT(k)t,x(T

    p3l

    m3l

    p3l

    mpl

    )51(

    lag

    2

    p

    3l

    p

    3l tt0t2k

    Lk

    k

    Lk)t(S +

    =

    )81(

    L

    )TT(k ml

    = )91(

    lag

    2

    p

    3l

    p

    3l tt0t2k

    Lk

    k

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    =

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    +

    =

    31

    p

    l21

    lagLL

    k

    k

    2

    Lt )12(

    0xL)t(Ex)t(E)t,x(C 321p += )22(

    Archive of SID

    www.SID.ir

  • Arch

    ive of

    SID

    263

    ~ ~ |

    { } 3 - 6831

    )t(1E| { )t(4E| { } }~. {~ : | |

    )52 ( )62( )t(B| t| } )0= x( |~:

    )42( { )72( )32( )42( { lC|

    pC { )t(B| ~:

    ~ t| ~ |{

    . { t| )0= x| 1L=x|( )t(B| sC|

    |{ :

    S 1D| ~ tM~ )~

    ~ ( t| . 6 | | t|

    td+t| |~. { |{ ~ ~ ~ td|) S/tMd(

    | | 6 . |{ :

    { )13( )23( 1D { { )t(B| }

    |: |

    5-| | no.

    1Lx0)t(Ex)t(E)t,x(C 43l += )32(

    0)t,L(C 3p = )42(

    )t(B)t,0(Cp = )52(

    )t(B)t,0(Cl = )62(

    s1l C)t,L(C = )72(

    0)t(B lag = )82(

    0xL)t(BxL

    )t(B)t,x(C 3

    3p += )92(

    11

    sl Lx0)t(BxL

    )t(BC)t,x(C +

    = )03(

    ll

    t

    L

    )t(BsCSDdt

    dM = )13(

    )t(dB)LL(2

    1

    S

    dM31

    t += )23(

    =

    + s

    C)t(B

    dt

    )t(dB )33(

    6-| | no| t td+t.

    Archive of SID

    www.SID.ir

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    ive of

    SID

    ~ ~ |

    { } 3 - 6831 264

    | } ) ( |: |

    )33( )82( { )t(B| |~: |

    )13( ~ ~

    |~: |

    pD| . )53( )63( ~ {

    |~: |

    )73( pD } ~ ~

    |~: |

    ~ )83 ( | } { )galtet( T|

    ~ } .

    ~| )ffffoo(

    ~ no | )et = t(

    T

    |'T } tesT

    } ~. ~ ~ { ffo) no(

    |. } | } ~ - |

    et 0=x } {~ 1L = x |~. ~

    )83( ~ ~ no~ |~ | } et}

    . {

    et = t } ~ ~. no {

    } | . ~ ~

    |'T

    |~. | _ ~ ~| ~

    |'T

    }

    |'T |~ ~

    . 7 | ffo t

    td+t |~. { | )p'C( |{ t

    :

    )t(1F| )t(2F| { }~. {~ : |

    l

    131

    D2

    L)LL( += )43(

    = )

    lagtt(

    1exp1C)t(B s )53(

    3p

    t

    L

    )t(BSD

    dt

    dM= )63(

    = )

    lagtt(

    1exp1

    L

    CSD

    dt

    dM

    3

    spt )73(

    +

    = 1)

    lagtt(

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    lagtt(

    1

    L

    CSDM

    3

    spt

    )83(

    7-| t| td+t|.

    0xL)t(Fx)t(F)t,x(C 321p += )93(

    0)t,L(C 3p =)04(

    )t(B)t,0(Cp = )14(

    Archive of SID

    www.SID.ir

  • Arch

    ive of

    SID

    265

    ~ ~ |

    { } 3 - 6831

    )t('B| } ) } )53((

    : |

    )04( )14( )93( { |~: | |

    ~ { | t| | 0= x| 3L-=x

    {{ )t(2B| |{ : |

    t'M| ~ ~ ~ t| .

    { 7 ~ ~ ~ ) ~ ~ ~ (

    td| | . |{ :

    { )44 ( )54 ( )24( { )t('B| |~: |

    { )64( | )44 ( )54( ~ ~ t| ffo|

    |~: |

    et | }

    'M/t'M} |.

    } ~ tesT |. 'M

    ~ ) et( |:

    { )74 ( )84 ( | }

    'M/t'M |~:

    )74( )84( ffo| ett 'T ~ }

    . |

    }

    } ~ { } {

    no ~ |no| ffo| { }|

    ~ ~ |. _ ~ }

    { ~ { )galt|( . ~

    } | ~ galt| ~ | } }

    | } galt| ~} . _ | galt| } ~

    } ~ { .

    galt| )12( { ~ } | )1L| 3L(

    ~ | )lK pK(

    == )

    lagt

    et(

    1exp1C)t(B)t(B see )24(

    0xL)t(BxL

    )t(B)t,x(C 3

    3p

  • Arch

    ive of

    SID

    ~ ~ |

    { } 3 - 6831 266

    | . )91( | } { ~ }

    ) {~ ( } . ~

    { no| |

    galt| } } ~ . 8 { galt| )1L(

    }{ | |~. )mm5 = 3L( ~ }

    ~ )2 = pK/1K( ~ . ~ | { |

    )1L( { no| |~.

    1L| ~ | galt| | |~. 8 |~

    { ) { ( { |{ | galt| .

    9 { galt| )3L( } | { ~ .

    } 1L pK/1K {{ 2 mm5 ~ . ~ | ~ 3L| ~ galt|

    ~ ~ | } | } . 9 |~

    ~ 3L ~ | { no| |. 9

    |{ galt| } ~ 3L| | { no| .

    ~ | { no|

    { galt| ~ ~ pK/1K| }{ | 01 ~ . | ~ |

    { | ~ )lK( ~ )pK( galt| |~

    ~ } | ~ } |. ~ } pK/1K ~ |

    { |. | 01

    | )1L 3L( mm5 } ~ . | )1L(

    )3L( ~ { no| { galt| 1L| }{ 3L|

    11 ~ . | pK/1K|

    8- galt| )1L( }{ | .

    9- galt| } |.

    01- galt| pK1K } | .

    Archive of SID

    www.SID.ir

  • Arch

    ive of

    SID

    267

    ~ ~ |

    { } 3 - 6831

    5 | )s/2m(|7-01 } ~ . 11 |~ 1L| 3L ~ galt| |~.

    | { ~ ~ { ~ | .

    } 1L| 3L| |{ | 11 galt| .

    ~ {~ } { ~ ~ {

    no } | ~ .

    } ~ |{ ~ ~ | }

    | } ~ ~. )83(

    ~ ~ )tM( | } galt| ~ |{ | { { tM|

    }{ )({ .

    21 { tM| | } galt|)galt-t|( } |~. ~

    ~ | ~ ~ | } galt| .

    | 21 |~ ~ ~ no| |~ ~ tM|

    | } } |) tM| galt-t } (. ~

    )~ ( ~ ~} ~ )43( ~ |

    } } ~ }~ ~

    } } ~. ~ ~ ~

    . } | } ) 21( |{

    ) { ( { . 21 |~ |

    } } } |.

    | } 21 ~ 3L/sCpDSnim/lomgm |2-01 } ~ .

    _ ~ } } ffo| { ~ ~

    no| } )tesT( |{

    { . { {

    ffo| ~ ~ et| ~

    | ~ ~ et|)'M/t'M(

    )94( . {

    'M/t'M

    11- galt 1L| }{ 3L.21- { ~ ~

    no.

    Archive of SID

    www.SID.ir

  • Arch

    ive of

    SID

    ~ ~ |

    { } 3 - 6831 268

    )| } et( |. 31 { {

    'M/t'M et-t|

    } 23

    L/pD ~ 1-nim ~ . ~ |

    ~

    et| |~ } ~ 3L/pD | ~ )1=

    'M/t'M( |. |

    | 23

    L/pD| } { {_ ) ~ 1 =

    'M/t'M(

    } | 23

    L/pD} . | 2

    3L/pD} |{

    | 23

    L/pD} . |{ ~ 2

    3L/pD | } ~

    |{ tesT| |~ |} |.

    ~ ~ 23

    L/pD } |{ { }

    | ~ ~ ~ |{ | ffo|

    ~ | .| 31 ~ }

    23

    L/pD ~ et| { ~ }

    ~ ~ ~ ~. | ~

    31 { ~ 23

    L/pD{ .

    }

    ~ ~ { {

    |. | _ ~ } { ~

    { ~ . { ~ - .

    | ~ { { { | ~

    { { - ) ffo-no( |~.

    { ~ ~| { }

    no| ffo| ~. } no| {

    { ~ } }

    ~. } ffo }

    } ~. }

    } { ~. } |{

    { ~ || | | ~.

    { no| |{ } |

    )1L| 3L( ~ )pK/1K( ~ |

    { { .

    } no| } ~ |{ ~ ~ {

    ~ ~ ~ {

    { { ~ . |{ }| {

    31-| ~ ffo.

    Archive of SID

    www.SID.ir

  • Arch

    ive of

    SID

    269

    ~ ~ |

    { } 3 - 6831

    } ffo| { } ~ }

    { . {{ )3L( { )

    pD|( { | ffo|

    ) ( . ~

    { } ~ | .

    1. Kim Ch. J., Controlled Release Dosage Form Design, Tech-

    nomic, Lancaster PA, 2000.

    2. Okano T., Biorelated Polymers and Gels: Controlled Release

    and Applications in Biomedical Engineering, Academic, 1998.

    3. Qiu Y. and Park K., Environment-sensitive Hydrogels for Drug

    Delivery, Adv. Drug. Deliv. Rev., 53, 321-339, 2001.

    4. Peppas N.A., Bures P., Leobandung W. and Ichikawa H., Hydro-

    gels in Pharmaceutical Formulations, Eur. J. Pharm. Biophar.,

    50, 27-46, 2000.

    5. Jeong B., Kim S.W. and Bae Y.H., Thermosensitive Sol-Gel

    Reversible Hydrogels, Adv. Drug Deliv. Rev., 54, 37-51, 2002.

    6. Peppas N.A., Physiological Responsive Gels, J. Bioact. Compat.

    Polym., 6, 241-246, 1991.

    7. Dagani R., Intelligent Gels, Chem. Eng. News, 75, 2323-2329,

    1997.

    8. Bromberg L.E. and Ron E.S., Temperature-responsive Gels and

    Thermogelling Polymer Matrices for Protein and Peptide Deliv-

    ery, Adv. Drug Deliv. Rev., 31, 197-221, 1998.

    9. Zhong X., Wang Y.-X. and Wang S.-C., Pressure Dependence of

    the Volume Phase-transition of Temperature-sensitive Gels,

    Chem. Eng. Sci., 51, 3235-3239, 1996.

    10. Park T.G. and Hoffman A.S., Sodium Chloride-induced Phase

    Transition in Nonionic Poly(N-isopropylacrylamide) Gel,

    Macromolecules, 26, 5045-5048, 1993.

    Archive of SID

    www.SID.ir

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