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Controlled Drug Delivery. Spatial and temporal control over drug concentration. Usual Gold Standard in Controlled Release. Zero Order Release . Toxic Level. Drug Concentration in Plasma. Minimum effective concentration. Time. Zero order delivery ineffective when…
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Controlled Drug Delivery • Spatial and temporal control over drug concentration
Usual Gold Standard in Controlled Release • Zero Order Release Toxic Level Drug Concentration in Plasma Minimum effective concentration Time
Zero order delivery ineffective when… • Minimum effective concentration changes with time • Insulin(required level depends on glycemia) • Addictive drugs, e.g. heroin, cocaine, etc. • Down regulation of hormone receptors • Other drugs (e.g. nitroglycerin)
Gonadotropin Hormone Releasing Hormone (GnRH) • Hypogonadotropic Hypogonadism • Failure of episodic GnRH secretion • Males: Failure to reach puberty • Females: Failure to sustain reproductive cycle • Treatment: Rhythmic, pulsatile delivery of GnRH
inhibition (Nuclear translocation) inhibition (Nuclear translocation)
SIMPLE(ST) TOY MODEL Glucose Permeability (Area A) (G) (rapid step) (h) (Volume V) ASSUMPTIONS Instantaneous conversion of glucose to H+ Instantaneous phase transition of membrane Constant permability to H+
TOY MODEL BEHAVIOR Time (t) hss,L hLH h hHL hss,H CONDITION FOR OSCILLATION: Pulse Width: Interpulse Interval:
pH pH Stat Stat pH Meter Meter Recorder Recorder pH Donor Cell Donor Cell Solution Out Solution Out Glucose Glucose Solution In Solution In Glucose Receptor Glucose Donor Receptor Donor Oxidase Oxidase Cell Cell Cell Cell Magnetic stirrer Magnetic stirrer Prototype Device Glucose pH=7.4
pH Oscillations with Corresponding r-GnRH Flux into Donor Cell
What is a hydrogel? Hydrogels are 3-D crosslinked hydrophilic polymer networks.
Discrete Hydrogel Volume Phase Transition (DVPT) • Discrete • First-order phase transition • Volume • Swells or collapses • Polyelectrolytes • Ionizable groups • Induced by changes in temperature, pH, organic solvents, light, and salt
pH = 5.5 (> pKa of MAA) Na+ -COO- -COOH pH = 4.5 (< pKa of MAA) -COO- -COOH Na+ -COOH -COO- Na+ -COOH -COO- Na+ -COOH Na+ -COO- Hydrogel Volume Phase Transition
Swelling ForcesElasticity of Matrix • Entropic • unperturbed state is most likely • Modulus • due to cross-link density Modified from: T. Tanaka, Sci. Am., 1981, Vol. 244
Swelling ForcesPolymer-solvent Mixing • Polymer-solvent mixing entropy • mixed state more probable • Polymer-solvent interaction • Polymer prefers polymer • Solvent prefers solvent • Chi parameter quantifies preferences Modified from: T. Tanaka, Sci. Am., 1981, Vol. 244
Swelling Forces--Ionic • Ion-solvent mixing • Mixed state more probable • Ideal, dilute solution • Donnan Partitioning • Negative charge on membrane • Positive ions drawn in to neutralize membrane P. Flory, Principles of Polymer Chemistry, 1965
Matrix Stress vs. Swelling Ratio • Ionization environmental sensitivity • Bistability Collapsedequilibrium Curve shifts with pH Swollen equilibrium
More Advanced Toy Model Swelling of Hydrogel H+ Concentration in Hydrogel Glucose Transport/H+ Production Dissociation Electroneutrality
Acknowledgments • John P. Baker • Jean-Christophe Leroux • Gauri Misra • Anish Dhanarajan • Jon Urban • Yuandong Gu • NSF, NIH