Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by...

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1 www.polymerseparation.de Field Flow Fractionation Feldflußfraktionierung Albena Lederer Polymer Separation Group Institute of Macromolecular Chemistry Leibniz-Institut für Polymerforschung Dresden e.V. Polymer Science Stellenbosch University

Transcript of Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by...

Page 1: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

1

www.polymerseparation.de

Field Flow Fractionation

Feldflußfraktionierung

Albena LedererPolymer Separation Group

Institute of Macromolecular Chemistry

Leibniz-Institut für Polymerforschung Dresden e.V.

Polymer Science

Stellenbosch University

Page 2: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Macromolecular

distribution

according to molar mass, branching, composition

Structure distributions

Page 3: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Molmassenverteilungen

Page 4: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Hängt von Reaktionsmechanismus der Polymeraufbaureaktion und die gewählten Bedingungen (zB p, T)

Polydispersität und Mechanismus der Polymerisation

Polymertyp Reaktion Mw/Mn

Lebende

Polymere

Anionisch

Group-transfer

1.0…1.05

Kondensationspolymere Stufenreaktion

Bifunktionale Monomere

~ 2

Additionspolymere Radikaladdition

Kationische Addition

Koordinationpolymerisation

(Metallorganische Komplexe)

2 – 10

2 – 30

Verzweigte

Polymere

Radikalisch 2 – 50

Vernetzte

Polymere

Sufenreaktion von tri-,

tetrafunktionellen

Monomeren

am Gelpunkt

Page 5: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Zahlenmittlere Molmasse

Gewichtsmittlere Molmasse

z-mittlere Molmasse

MMD (Polydispersität) wird mit

Mw / Mn beschrieben

Für monodisperse Proben Mw / Mn = 1

Polymere sind NICHT monodispers, sie

besitzen einen Mw / Mn >1

Molmasse bei Polymeren

Page 6: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Size Exclusion Chromatography (SEC) = molar mass determination based on separation

according to size

Molar mass characterization SEC

Polymer sample

Solvent Column material

Separation

Page 7: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Types of liquid chromatographic separations

mo

lar

ma

ss

elution volume [ml]

SEC

LAC

LCCC

mo

lar

ma

ss

elution volume [ml]

SEC

Size Exclusion Chromatography (SEC)Liquid Chromatography under Critical Condiitons (LCCC)Liquid Adsorption Chromatography (LAC)

Page 8: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Size Exclusion Chromatography (SEC) = molar mass determination based on separation

according to size

Molar mass characterization SEC

Page 9: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Size Exclusion Chromatography (SEC) = molar mass determination based on separation

according to size

Molar mass characterization SEC

Page 10: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

elution time (elution volume)

I

(RI, UV,

LS, Visco)

Size Exclusion Chromatography (SEC) = molar mass determination based on separation

according to size

Molar mass characterization SEC

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elution time (elution volume)

MPeak

Size Exclusion Chromatography (SEC) = molar mass determination based on separation

according to size

Molar mass characterization SEC

Page 12: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

elution time (elution volume)

Mpeak

I

Size Exclusion Chromatography (SEC) = molar mass determination based on separation

according to size

Molar mass characterization SEC

Page 13: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

molar mass

I

Mn Mw Mz

Size Exclusion Chromatography (SEC) = molar mass determination based on separation

according to size

Molar mass characterization SEC

Page 14: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Molar mass! Elution volume!

I

Mz Mw Mn

Size Exclusion Chromatography (SEC) = molar mass determination based on separation

according to size

Molar mass characterization SEC

Page 15: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Separation of HB aromatic polyester with OH end groups

HO

O

C

O

n, hvz

6 8 100,00

0,05

0,10

0,15

0,20

0,25

0,30 RI

LS 90°

RI,

LS

[V

]

Volume [ml]

103

104

105

106

107

108

Molar mass

Mola

r m

ass [

g/m

ol]

Mw = 26 000 g/mol

Mw/Mn = 2,0

Zn = approx. 85

Solvent: THF

PLgel mixed B column

dn/dc = 0,25 ml/g

column-polymer interactions

mo

lar

ma

ss

elution volume [ml]

SEC

LAC

Polymer 2009, 50, 3431

J Polym Sci A 2009, 47, 5158

Problem 3: High number of functioanlities lead to strong interactions!

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4,5 5,0 5,5 6,0 6,5 7,0 7,5 8,0

1

10

100

1.000

10.000

100.000

1.000.000

Mol

mas

se [g

/mol

]

Elutionsvolumen (ml)

Sepration of hyperbranched aromatic polyester with OH end groups

HO

O

C

O

n, hvz

Solvent: DMAc+ LiCl (2g/L)

PLgel mixed B column

dn/dc = -0,275 ml/g

NO column-polymer interactions

up to 30 000 g/mol

Mw = 26 000 g/mol

Mw/Mn = 2,0

Zn = approx. 85

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Asymmetric Flow Field Flow Fractionation (A4F)

Page 18: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Asymmetric Flow Field Flow Fractionation (A4F)

elution time (elution volume)

I

(detection:

RI, UV,

LS, Visco)

Mn Mw Mz

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8 10 12 14 16

0,0

0,1

0,2

0,3

0,4

RI

LS 90°

RI,

LS

sig

nal [V

]

Volume [ml]

103

104

105

106

Molar mass

Mola

r m

ass [

g/m

ol]

Sepration of hyperbranched aromatic polyester with OH end groups

Solvent: THF

A4F channel

dn/dc = 0,25 ml/g

Membrane cut-off 5 kDa

Mw = 42 300 g/mol

Mw/Mn = 2,0 Zn = approx. 140

Mw = 161 000 g/mol

Mw/Mn = 4,5 Zn = approx. 250

0 5 10 15 20 25 30 35

0

1

2

3

4

5

Elution

Inject/Focus

Flo

w (

ml/m

in)

elution time (min)

cross/focus flow

0,0

0,2

0,4

0,6

0,8

inject flowHO

O

C

O

n, hvz

5 10 15 20

0,0

0,1

0,2

0,3

0,4

0,5

RI

LS 90°

RI,

LS

90°

[V]

Volume [ml]

102

103

104

105

106

107

Mo

lar

ma

ss [

g/m

ol]

Molar mass

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5 10 15 20

0,0

0,1

0,2

0,3

0,4

0,5

RI

LS 90°

RI,

LS

90°

[V]

Volume [ml]

102

103

104

105

106

107

Mo

lar

ma

ss [

g/m

ol]

Molar mass

Sepration of hyperbranched aromatic polyester with OH end groups

Solvent: THF

A4F channel

dn/dc = 0,25 ml/g

Membrane cut-off 5 kDa

Mw = 148 000 g/mol

Mw/Mn = 3,3

Mw = 161 000 g/mol

Mw/Mn = 4,5 Zn = approx. 250

0 5 10 15 20 25 30 35

0

1

2

3

4

5

Elution

Inject/Focus

Flo

w (

ml/m

in)

elution time (min)

cross/focus flow

0,0

0,2

0,4

0,6

0,8

inject flow

10 20

0,0

0,1

0,2

0,3

0,4

0,5

RI

LS 90°

RI,

LS

90°

(V

)

elution time (min)

102

103

104

105

106

Molar mass

Mol

ar m

ass

[g/m

ol]

0 5 10 15 20 25 30 35

0

1

2

3

4

5

Elution

Inject/Focus

Flo

w (

ml/m

in)

elution time (min)

cross/focus flow

0,0

0,2

0,4

0,6

0,8

inject flow

Page 21: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Feld-Fluss-Fraktionierung

FFF

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Page 22: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Feldflussfraktionierung (FFF)

Separierung und Charakterisierung von Polymeren, Proteinen und Partikeln

Standardmethode zur Polymercharakterisierung:

Größenausschlusschromatographie (SEC)

Alternative zur SEC: Feldflussfraktionierung

schnelle, schonende und hoch auflösende Trennung von 103 bis 1010 g/mol

„Flüssigchromatographie“ ohne stationäre Phase

Trennung in einem dünnen, langförmigen Kanal

Eingang

Kanalfluss

Ausgang

KanalflussKraftfeld

verschiedene Subtechniken

allg. Prinzip der FFF

Feldflussfraktionierung

Fluss FFF

symmetrische FFFF

asymmetrische FFFF

Elektrische FFF

Thermische FFF

Page 23: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

1966 – Invention of Field-Flow Fractionation by Prof. Giddings

Inventor of FFF

[1] J.C. Giddings, „New separation concept based on a coupling of concentration and flow non-uniformities“, Sep. Sci., 1, 123-125 (1966)[2] J.C. Giddings, „Dynamics of Chromatography“, (1965)[3] J.C. Giddings, „Unified Separation Science“, (1992)

Field-Flow Fractionation was invented in 1966 by Prof. Calvin

Giddings [1] at University of Utah, Salt Lake City, USA.

He developed and published the complete theory of Field-Flow

Fractionation and was issued several patents in the area.

He authored or co-authored more than 400 publications and

edited 32 books [2], [3] and was executive editor of the journal

“Separation Science and Technology”.

He founded the Field-Flow Fractionation Research Center at

University of Utah in 1972.

Prof. Giddings was twice nominated

for the Nobel-Price in 1984 and 1992.

In 1986 he founded FFFractionation,

the worlds first company which started

to commercialize the FFF technology.

FFFresearch Center

University Utah

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Page 24: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

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Separation Mechanism

Separation in a narrow ribbon-like channel

Laminar flow inside the channel

External field perpendicular to the solvent flow

FFF Principle

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FFF Principle - Detail

Separation Mechanism

Flow Field

Thermal Field

Centrifugal Field

Gravitational Field

Page 26: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Log

M

Elution Volume

General FFF Elution Order

FFF Principle26

Flow FFF:

VE ~ 1/D ~ Rh

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Different Separation Forces but Same Separation Principle

FFF Methods

FFF Family – most important Techniques

Page 28: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

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Separation Range

FFF Size of Analyte

/ Centrifugal FFF

Page 29: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

FFF Versions

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Flow FFF

Flow FFF Principle

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Asymmetric Flow FFF Principle

Hydraulic Pressure Gradient Field (Cross-Flow) for Separation

Separation based on Size

Channel at Ambient, Mid or High Temperature

Flow FFF

Page 32: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Thermal gradient up to Δ120°C

Separation kDa up to several MDa

Analysis time, 10 – 120min (no upper limit)

Separation depends on D and DT

Separation according to Size and chemical composition

Thermal FFF - Principle32

VE ~ DTΔT/D

Thermal Diffusion Coeffcient

Depends on chemical

composition

Page 33: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

• Gravity Separation Field up to 2.500 g• Size Separation Range: Particles 5 nm – 100 µm• Separation based on Size and Density

Centrifugal FFF - Principle20.01.202033www.postnova.com

Page 34: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

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Hollow Fiber Flow FFF Principle

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Hollow Fiber Flow FFF Principle

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Hollow Fiber Flow FFF Principle

Hydraulic Pressure Gradient Field (Cross-Flow) for Separation

Separation based on Size

Channel at Ambient and Mid Temperature

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Symmetric Flow FFF Principle

Cross-Flow Field for Separation

Separation based on Hydrodynamic

Size/Molecular Weight

Channel top and bottom made by porous frit

Page 38: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

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Asymmetric Flow FFF Principle

Page 39: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

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Asymmetric Flow FFF Principle

Hydraulic Pressure Gradient Field (Cross-Flow) for Separation

Separation based on Size

Channel at Ambient, Mid or High Temperature

Page 40: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Cartridge-based Channel design with Holder and exchangeable Membrane

Different Cartridges are available (sizes and materials)

Asymmetric Flow FFF (AF4)

Principle Set-up of an AF4 Channel

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Page 41: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Cartridge-based Channel design with Holder and exchangeable Membrane

Different Cartridges are available (sizes and materials)

Asymmetric Flow FFF (AF4)

Details - Principle Set-up of an AF4 Channel

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Flow In Flow Out

Slot Out

Foc In

Membrane

Top Plate

Spacer

Low Plate

Holder

Holder

O-Ring

Page 42: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Asymmetric Flow FFF (AF4)20.01.202042www.postnova.com

AF2000 Multi Flow FFF Channels

Page 43: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

Vergleich SEC/AF4

schnelle, schonende, hochauflösende Trennung

variable Trennbedingungen

Abwesenheit von Scherkräften keine Zerstörung von Aggregaten

keine stationäre Phase keine WW der Probenbestandteile im Trennkanal

SEC AF4

Trennung nach hydrodynamisches

Volumen

Diffusionskoeffizient

Einflussmöglichkeiten Säulenmaterial,

Partikelgröße,…

Querfluss, Membran,

Kanalhöhe,- größe, Temperatur,

Flussrate, Lösungsmittel

Molmassenbereich

[g/mol]

103 bis 107 104 bis >1010

Scherbeanspruchung hoch gering

Beeinträchtigungen Degradation, Adsorption,

Aggregate

Membrandurchlässigkeit

Limitierung Verzweigungen,

Funktionalität der

Polymere Co-Elution

Membrandurchlässigkeit

AF4

Page 44: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

ΔT

DP2 DP1

Hot wall

P1P2

Cold wall

DT, P2DT, P1

Separation force fieldby T

ThFFF principle

Separation force fieldby cross-flow

AF4 principle

DP2

DP1

P1P2

From diffusion coefficient to size?

kB – Boltzmann’s constant

T – temperature (Kelvin)

– viscosity of solvent

Dt – diffusion coefficient

Rh – hydrodynamic radius

Stokes - Einstein Relation

bh

D

TkR

p6=

Page 45: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

ΔT

DP2 DP1

Hot wall

P1P2

Cold wall

DT, P2DT, P1

Separation force fieldby T

ThFFF principle

Separation force fieldby cross-flow

AF4 principle

DP2

DP1

P1P2

Separation according to translational diffusion coefficient (D)

Ve ~ 1/D

Page 46: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

1

Encapsulation - state of the art

In situ loading of polymersome

in situ i)

ii) self assembly

Block copolymer

hydrophilic block hydrophobic block

pH < 6

DpH

Page 47: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

2

Encapsulation - state of the art

In situ loading for

Doxorubicin delivery

Yassin et al. Small 2015, DOI: 10.1002/smll.201402581

Page 48: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

3

Esterase and Myoglobin

Encapsulation of proteins studies by AF4

Mw 360 kg/molÐ ~ 2

Ø 10 nm

Mw 17 kg/molÐ ~ 1

Ø 5 nm

Gumz et al. Advanced Science 2019, doi.org/10.1002/advs.201801299

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4

Encapsulation of proteins studies by AF4

Gumz et al. Advanced Science 2019, doi.org/10.1002/advs.201801299

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5Gumz et al. Advanced Science 2019, doi.org/10.1002/advs.201801299

Proteins Polymersome & Protein

Size difference between polymersomes and proteins

15 20 25 30 35 40 45

0,0

0,2

0,4

0,6

0,8

1,0

UV

de

tec

tor

inte

ns

ity

(a

.u.)

Elution time (min)

Esterase:Polymersome (29:1) post

Myoglobin:Polymersome (112:1) post

12 14 16 18 20 22 24

0.0

0.2

0.4

0.6

0.8

1.0

UV

de

tec

tor

inte

ns

ity

(a

.u.)

Elution time (min)

Myoglobin

Esterase

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6Gumz et al. Advanced Science 2019, doi.org/10.1002/advs.201801299

Esterase Myoglobin

Loading efficiency: Encapsulation quantification

15 20 25 30 35 40

0.00

0.05

0.10

0.15

0.20

0.25

UV

de

tec

tor

inte

ns

ity

(a

.u.)

Elution time (min)

Myoglobin

Polymersome

Myoglobin:Polymersome

(112:1) post

15 20 25 30 35 40 45

0.0

0.2

0.4

0.6

0.8

1.0

UV

de

tec

tor

inte

ns

ity

(a

.u.)

Elution time (min)

Esterase

Polymersome

Esterase:Polymersome

(29:1) post

0.00 0.01 0.02 0.03 0.04

0

10

20

30

40

50

Es

tera

se

g)

UV signals peak area (a.u.)

y = 1413.8x - 0.602

R² = 0.997

0 50 100 150

0

10

20

30

40

50

60

y = 0.40775x + 0.486

R² = 0.986

My

og

lob

in (

µg

)

UV signal peak area (a.u.)

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7Gumz et al. Advanced Science 2019, doi.org/10.1002/advs.201801299

Loading efficiency: Encapsulation quantification

0 50 100150 200 250 300350 400 600750 1000

0

50

100

150

Enzyme per polymersome in batch

En

zy

me

pe

r p

oly

me

rso

me

Esterase

post

Myoglobin

in situ

Myoglobin

post

Esterase

in situ

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8Gumz et al. Advanced Science 2019, doi.org/10.1002/advs.201801299

Loading efficiency: Encapsulation quantification

0 50 100150 200 250 300350 400 600750 1000

0

50

100

150

Enzyme per polymersome in batch

En

zy

me

pe

r p

oly

me

rso

me

Esterase

post

Myoglobin

in situ

Myoglobin

post

Esterase

in situ

Page 54: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed

ΔT

DP2 DP1

Hot wall

P1P2

Cold wall

DT, P2DT, P1

Separation force fieldby T

ThFFF principle

Separation force fieldby cross-flow

AF4 principle

DP2

DP1

P1P2

Separation according to translational (D) & thermal diffusion coefficient (DT)

Ve ~ DT T/D

Page 55: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed
Page 56: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed
Page 57: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed
Page 58: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed
Page 59: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed
Page 60: Field Flow Fractionation Feldflußfraktionierung...Field-Flow Fractionation was invented in 1966 by Prof. Calvin Giddings [1] at University of Utah, Salt Lake City, USA. He developed