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Influence of Charge and Network Inhomogeneities on the Swollen-Collapsed Transition in Polyelectrolyte Nanogels

APS March Meeting 2012 Padden Award Symposium  February 28, 2012. Influence of Charge and Network Inhomogeneities on the Swollen-Collapsed Transition in Polyelectrolyte Nanogels. Prateek Jha (Northwestern University) Jos Zwanikken (Northwestern University)

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Influence of Charge and Network Inhomogeneities on the Swollen-Collapsed Transition in Polyelectrolyte Nanogels

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  1. APS March Meeting 2012 Padden Award Symposium  February 28, 2012 Influence of Charge and Network Inhomogeneities on the Swollen-Collapsed Transition in Polyelectrolyte Nanogels PrateekJha(Northwestern University) JosZwanikken (Northwestern University) François Detcheverry (University de Lyon) Juan de Pablo (University of Wisconsin-Madison) Monica Olvera de la Cruz (Northwestern University) This material is based upon work supported by NSF under Award numbers DMR-0907781 and DMR-0520513.

  2. Polymer Nanogels • Finite-sized, solvent-permeated polymer networks • Highly responsive materials • High volume changes by absorbing/releasing solvent • Small size (10-1000 nm) enables rapid kinetic response • Ionic (Polyelectrolyte) nanogels superior than neutral nanogels Kabanov and Vinogradov, AngewChemInt Ed Engl. 2009 ; 48(30): 5418–5429

  3. PolyelectrolyteNanogels as Drug Delivery Carriers and in Anti-Cancer Therapy • Can easily incorporate oppositely charged drugs/biomacromolecules • e.g. oligonucleotides, siRNA, DNA, proteins, … Kabanov and Vinogradov, AngewChemInt Ed Engl. 2009 ; 48(30): 5418–5429 • High swelling of nanogelused in killing cancer cells Park et al., Journal of Controlled Release 135 (2009) 89–95

  4. Classical Description of Gel Swelling • Homogeneous deformation uniform volume fraction, • Charge neutrality in gel and solvent bath  No Coulomb interactions • Electrostatic contribution from mobile ion entropy (Donnan) • Mobile ion concentrations from association  dissociation equilibrium of salt • Free Energy of gel: • Condition of Mechanical Equilibrium: Rubber Elasticity Flory-Huggins Theory Donnan Membrane Equilibrium • Solve for  Flory, Principles of Polymer Chemistry

  5. Charge and Network Inhomogeneities in Nanogels • Nanogels are not homogeneous • Crosslinkinginhomogeneities (during preparation) • Excess Charge due to presence of surfaces • Excess Charge Coulomb Interactions (Neglected in the Donnan picture) • Important when nanogel size is comparable to screening length Influence on Swelling behavior ? Polymer Volume Fraction Distance from center [nm] J Ramos et al; Soft Matter, 2011, 7, 5067-5082

  6. Poisson-Boltzmann Description • Mobile ion concentrations by mean-field approximation • Dielectric mismatch between solvent and polymer can be incorporated by a solvation term: Network charge fixed and homogeneous PK Jha et al, Current Opinion in Solid State and Materials Science, 15(6), 271-276 (2011)

  7. Smaller, collapsed, and gels at low salt concentration or in high dielectric solvent have larger excess charge Donnan theory fails PK Jha et al, Current Opinion in Solid State and Materials Science, 15(6), 271-276 (2011) • Excess charge may be used to self-assemble nanogels to crystalline structures Gottwald et al, Phys. Rev. Lett. 92, 068301 (2004) • Dielectric mismatch can give rise to re-entrant behavior: re-swelling at high salt concentration Salt Concentration

  8. Theoretically Informed Coarse-Grained Simulations (TICG) • Detailed swelling behavior • Crosslink Inhomogeneities • Fluctuations • Few physical invariants • Free of discretization effects • Computationally Efficient • Construct the free energy functional: • Bonded (Elastic) Contribution from Gaussian Chain Approximation • Non-Bonded Contribution = Solvent + Entropy + Coulomb • Monte Carlo using the free energy functional Detcheverry et al, Macromolecules, 2008, 41 (13), pp 4989–5001; Soft Matter, 2009, 5, 4858-4865; Faraday Discuss., 2010, 144, 111-125

  9. Effect of Polymer Charge • Very high swelling for ionic nanogels (Coulomb repulsions) • Discontinuous volume transition for ionic nanogels GOOD SOLVENT POOR SOLVENT PK Jha et al, Soft Matter, 7, 5965-5975 (2011)

  10. Effect of Salt Concentration Swelling decreases with increase in salt concentration (screening) PK Jha et al, Current Opinion in Solid State and Materials Science, 15(6), 271-276 (2011)

  11. Summary • Density and Charge Inhomogeneities strongly contributes to the nanoscalegel behavior • New Simulation Scheme for swelling behavior of polyelectrolyte nanogels • Discontinuous volume transition for ionic nanogels

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