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Lecture 4 Spring 2006 1 Controlled Release Theory Last time: tailoring the structure of degradable polymers Fundamental concepts in controlled release Today: Theory of degradable polymer-based controlled release Reading: Charlier et al., ‘Release of mifepristone from biodegradable matrices: experimental and theoretical evaluations,’ Int. J. Pharm. 200, 115-120 (2000) ANNOUNCEMENTS:
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Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

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Page 1: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 1

Controlled Release Theory

Last time: tailoring the structure of degradable polymers Fundamental concepts in controlled release Today: Theory of degradable polymer-based controlled release Reading: Charlier et al., ‘Release of mifepristone from biodegradable matrices: experimental and

theoretical evaluations,’ Int. J. Pharm. 200, 115-120 (2000)

ANNOUNCEMENTS:

Page 2: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 2

Last time

Page 3: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 3

Therapeutic index: tailoring materials to provide release kinetics matching the ‘therapeutic window’

Bolus drug injection:

time

Amount of drug in

tissue or circulation

Page 4: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 4

Mechanisms of controlled release

Page 5: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 5

Drug diffusion-controlled release

Advantage:

Disadvantages:

Page 6: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 6

Release kinetics for diffusion-controlled release

0

Test

oste

rone

Rel

ease

Rat

e(m

g cm

-2 d

ay-1

)

0

100

200

300

400

500

600

10

Release rate of testosterone from cylindrical reservoir devices of different membranethickness made from silicone rubber.

20 30 40

Time (days)

183 µ

132 µ

64 µ

28 µ

110 120

Figure by MIT OCW.

Page 7: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 7

Release kinetics for diffusion-controlled release

time

Q

Page 8: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 8

Water-influx controlled release

Example: poly(ethylene-co-vinyl acetate)

Page 9: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 9

Regulated/triggered release: mechanical

Favorable ∆Smix

Water driven into ‘engine’; swelling drives piston to push drug out other end

Osmotic engine: (one form)

Page 10: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 10

Regulated/triggered release: mechanical

Titanium rod casing

Designed to provide continuous release of drugs up to one year

Semipermeablemembrane

OsmoticenginePiston

Drugreservoir

Deliveryorifice

Figure by MIT OCW.

Page 11: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 11

eroding matrix

Non-erodible capsule

Continuous release:

burst release:

Amount of drug

released

time

Amount of drug

released

time

Page 12: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 12

eroding matrix

Non-erodible capsule

Advantages:

Disadvantages:

Page 13: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 13

Designing eroding release devices

bulk-eroding matrix

Surface-eroding matrix

Protein orSmall-molecule

drug

Page 14: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 14

Typical release profiles

Surface-eroding matrix

Bulk-eroding matrix

Poly(dioxepanone-co-lactide)

Poly(methyl vinyl ether-co maleic anhydride)

Garcia, J. T., M .J. Dorta, O. Munguia, M. Lllabres, and J. B. Farina."Biodegradable Laminar Implants for Sustained Release of Recombinant Human Growth Hormone." Biomaterials 23 (2002): 4759-4764.

20

Cum

ulat

ive

Hyd

roco

rtiso

ne

Rel

ease

d (%

)

00

20

40

60

80

100

40

R = 0.959

Time (hrs)60 80

00

Release of a therapeutic substance from P(L-LA-co-DXO),

20Time (Days)

40 60

20

Am

ount

of D

rug

Rel

ease

d (%

)

40

60

80

100

PDLLA-PDXO, and PDLLA-PDXO microspheres with a L-LA/DXO molar ratio of 90:10

Page 15: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 15

Characteristics of surface vs. bulk-eroding controlled release: (why not always use surface-eroding polymers?)

surface erosion: bulk erosion

Page 16: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 16

Surface-eroding matrix Bulk-eroding matrixPoly(dioxepanone-co-lactide)Poly(methyl vinyl ether-co maleic anhydride)

Figure by MIT OCW.

Figure by MIT OCW.

Page 17: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 17

Examination of one approach to drug delivery using eroding matrices in detail: degradable microspheres

(1)

(2)(3)

(4)

Page 18: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Limiting factors: pH gradients within degradable devices

Fu, K., D. W. Pack, A. M. Klibanov, and R. Langer. “Visual Evidence of Acidic Environment within Degrading Poly(lactic-co-glycolicacid) (PLGA) Microspheres.” Pharm Res. 17, no. 1 (January 2000): 100-6.

Lecture 4 Spring 2006 18

Page 19: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Limiting factors: Contact with hydrophobic surfaces/organic interfaces

Quellec et al. J Biomed Mater Res 42 45-54 (1998)

Page 20: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 2220

Modeling an important controlled release system: single emulsion encapsulation of small molecule drugs in degradable polymers

(Edlund 2002)

Faisant N., J. Siepmann, and J. P. Benoit. “PLGA-based Microparticles: Elucidationof Mechanisms and a New, Simple Mathematical Model Quantifying Drug Release." Eur. J Pharm Sci. 15, no.4 (May 2002): 355-66.

Page 21: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 21

Theory of controlled release from degradable solids: physical basis of the model

(Charlier et al. 2000)

Page 22: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 22

Theory of controlled release from degradable solids: physical basis of the model

(Charlier et al. 2000)

Page 23: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 23

Theory of controlled release from degradable solids: physical basis of the model

(Charlier et al. 2000)

Page 24: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 24

0 x

C

Amount of drug freed to diffuse as front moves into matrix by dh:

Fick’s first law in pseudo-steady-state diffusion region:

1. List of parameters:

A device surface areaCs concentration of drug soluble in matrixC0 initial concentration of drug encapsulated in deviceM(t) molecular weight of matrix at time tM0 initial molecular weight of matrixD Diffusion coefficient of drug in polymer matrixh thickness of diffusion region in releasing sample

Q(t) total mass of drug released from dispersed phase from time 0 to time t

Page 25: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 25

Diffusion-controlled release for nondegradablesolid: Higuchi equation

Page 26: Controlled Release Theory - MIT OpenCourseWare...Drug diffusion-controlled release Advantage: Disadvantages: Lecture 4 Spring 2006 6 Release kinetics for diffusion-controlled release

Lecture 4 Spring 2006 26

Further Reading

1. Kumamoto, T. et al. Induction of tumor-specific protective immunity by in situLangerhans cell vaccine. Nat Biotechnol 20, 64-9 (2002).

2. Dash, P. R. & Seymour, L. W. in Biomedical Polymers and Polymer Therapeutics(eds. Chiellini, E., Sunamoto, J., Migliaresi, C., Ottenbrite, R. M. & Cohn, D. )341-370 (Kluwer, New York, 2001).

3. Baldwin, S. P. & Saltzman, W. M. Materials for protein delivery in tissueengineering. Adv Drug Deliv Rev 33, 71-86 (1998).

4. Okada, H. et al. Drug delivery using biodegradable microspheres. J. Contr. Rel.121, 121-129 (1994).

5. Santini Jr, J. T., Richards, A. C. , Scheidt, R., Cima, M. J. & Langer, R.Microchips as Controlled Drug-Delivery Devices. Angew Chem Int Ed Engl 39,2396-2407 (2000).

6. Garcia, J. T., Dorta, M. J., Munguia, O., Llabres, M. & Farina, J. B.Biodegradable laminar implants for sustained release of recombinant humangrowth hormone. Biomaterials 23, 4759-4764 (2002).

7. Jiang, G., Woo, B. H., Kang, F., Singh, J. & DeLuca, P. P. Assessment of proteinrelease kinetics, stability and protein polymer interaction of lysozymeencapsulated poly(D,L-lactide-co-glycolide) microspheres. J Control Release 79,137-45 (2002).

8. Edlund, U. & Albertsson, A.-C. Degradable polymer microspheres for controlleddrug delivery. Advances in Polymer Science 157, 67-112 (2002).

9. Siepmann, J. & Gopferich, A. Mathematical modeling of bioerodible, polymericdrug delivery systems. Adv Drug Deliv Rev 48, 229-47 (2001).

10. Charlier, A., Leclerc, B. & Couarraze, G. Release of mifepristone frombiodegradable matrices: experimental and theoretical evaluations. Int J Pharm200, 115-20 (2000).

11. Fan, L. T. & Singh, S. K. Controlled Release: A Quan titative Treatment (eds.Cantow, H.-J. et al.) (Springer-Verlag, New York, 1989).