TECHNICAL PAPERS
Mar 14, 2003

Mathematical Modeling and Simulation of Dissolvable Hydrogels

Publication: Journal of Aerospace Engineering
Volume 16, Issue 2

Abstract

Hydrogels have a large number of potential applications in microelectromechanical technology as sensors and actuators. In this paper we try to understand the physics of dissolvable hydrogels and investigate the various parameters controlling the dissolution process. Hydrogels, crosslinked via disulfide bonds, when immersed in a solution containing the disulfide cleaving agent can break covalent cross links causing the hydrogel to dissolve and thereby indicating the presence of the cleaving agent. Such a concept can be used to develop biochemical sensors, sacrificial structures in microfluidic systems, and other applications. The mechanism of the hydrogel dissolution process has been studied in detail and a mathematical model has been developed. From the vanishing time of the dissolvable hydrogel, a significant amount of qualitative and quantitative information about the solution can be obtained. A large number of factors governing the hydrogel dissolution process were investigated by simulations and experiments.

Get full access to this article

View all available purchase options and get full access to this article.

References

Aluru, N. R., and Li, G.(2001). “Finite cloud method: A true meshless technique based on a fixed reproducing kernel approximation.” Int. J. Numer. Methods Eng., 50(10), 2373–2410.
Berry, R. S., Rice, S. A., and Ross, J. (1980). Physical chemistry, Wiley, New York.
Chu, Y., Varanasi, P. P., McGlade, M. J., and Varanasi, S.(1995). “pH-induced swelling kinetics of polyelectrolyte hydrogels.” J. Appl. Polym. Sci., 58, 2161–2176.
Cohen, Y. B. (2001). “Electro active polymers as artificial muscles-reality and challenges.” Proc. of the 42nd AIAA Structures, Structural Dynamics, and Materials Conference (SDM), Pasadena, Calif., 〈http://www.aiaa.org/calendar/gfs01cfp.html〉.
Franse, M. W. C. P., and Nijenhuis, K. T.(2000). “Crosslinking index,molecular weight distribution and rubber equilibrium shear modulus during polyfunctional crosslinking of existing polymer.” J. Mol. Struct., 554, 1–10.
Gopferich, A.(1996). “Mechanisms of polymer degradation and erosion.” Biomaterials, 17, 103–114.
Grimshaw, P. E. (1990). PhD thesis, Massachusetts Institute of Technology Dept. of Electrical Eng. and Computer Science, Cambridge, Mass.
Houk, J., and Whitesides, G. M.(1987). “Structure-reactivity relations for thiol-disulfide interchange.” J. Am. Chem. Soc., 109, 6825–6836.
Jeans, J. H. (1911). The mathematical theory of electricity and magnetism, Cambridge University, London.
Jin, X., Li, G., and Aluru, N. R.(2001). “On the equivalence between least squares and kernel approximations in meshless methods.” CMES: Computer Modeling in Eng. and Sciences, 2(4), 447–462.
Kost, J. (1990). Pulsed and self-regulated drug delivery, CRC, Boca Raton, Fla.
Liu, R. H., Yu, Q., and Beebe, D.(2002). “Fabrication and characterization of hydrogel-based micro-valves.” J. Microelectromech. Syst., 11(1), 45–53.
Mackie, J. S., and Meares, P.(1955). “The diffusion of electrolytes in a cation-exchange resin membrane. II: Experimental.” Proc. R. Soc. London, Ser. A, 232(1191), 510–518.
Mallapragada, S. K., and Peppas, N. A.(1997). “Crystal dissolution-controlled release systems. I: Physical characteristics and modeling analysis.” J. Controlled Release, 45, 87–94.
Malmivuo, J., and Plonsey, R. (1995). Bioelectromagnetism: Principles and applications of bioelectric and biomagnetic fields, Oxford University, New York.
Moore, T., Croy, S., Mallapragada, S., and Pandit, N.(2000). “Experimental investigation and mathematical modeling of Pluronic F127 gel dissolution: drug release in stirred system.” J. Controlled Release, 67, 191–202.
Narasimhan, B.(2001). “Mathematical models describing polymer dissolution: Consequences for drug delivery.” Adv. Drug Delivery Rev., 48, 195–210.
Okay, O., and Durmaz, S.(2002). “Charge density dependence of elastic modulus of strong polyelectrolyte hydrogels.” Polymer, 43, 1215–1221.
Popov, E. P. (1997). Engineering mechanics of solids, Prentice-Hall of India, New Delhi.
Siepmann, J., Kranz, H., Bodmeier, R., and Peppas, N. A.(1999). “HPMC-matrices for controlled drug delivery: A new model combining diffusion, swelling and dissolution mechanisms and predicting the release kinetics.” Pharm. Res., 16, 1748–1755.
Szajewski, R. P., and Whitesides, G. M.(1980). “Rate constants and equilibrium constants for thiol-disulfide interchange reactions involving oxidized glutathione.” J. Am. Chem. Soc., 102, 2011–2025.
Tien, H. T., and Leitmannova, A. O. (2000). Membrane biophysics as viewed from experimental bilayer lipid membranes, Elsevier, New York.
Whitesides, G. M., Houk, J., and Patterson, M. A. K.(1983). “Activation parameters for thiolate-disulfide interchange reactions in aqueous solution.” J. Org. Chem., 48, 112–115.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 16Issue 2April 2003
Pages: 55 - 64

History

Received: Nov 19, 2002
Accepted: Nov 19, 2002
Published online: Mar 14, 2003
Published in print: Apr 2003

Permissions

Request permissions for this article.

Authors

Affiliations

Aveek N. Chatterjee
Graduate Student, Beckman Institute for Advanced Science and Technology, Univ. of Illinois at Urbana-Champaign, 405 N. Mathews Ave., Urbana, IL 61801.
Qing Yu
Doctoral Student, Beckman Institute for Advanced Science and Technology, Univ. of Illinois at Urbana-Champaign, 405 N. Mathews Ave., Urbana, IL 61801.
J. S. Moore
Professor, Beckman Institute for Advanced Science and Technology, Univ. of Illinois at Urbana-Champaign, 405 N. Mathews Ave., Urbana, IL 61801.
N. R. Aluru
Associate Professor, Beckman Institute for Advanced Science and Technology, Univ. of Illinois at Urbana-Champaign, 405 N. Mathews Ave., Urbana, IL 61801 (corresponding author).

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share