Effects of inhomogeneities in polyacrylamide gels on thermodynamic and transport properties

Properties of solid supports

Many supports including composite materials and functionalized surfaces are available for solid-phase synthesis. In the process of selecting the proper support it is important to consider the optimal performance during solid-phase synthesis. For most purposes the mechanically stable beaded gel resins are preferred. These resins are homogeneous, and the loading and physical and chemical properties can easily be varied. Optimal properties have been obtained by radical polymerization of end group acryloylated long-chain polyethylene glycols. However, polystyrene resins or amide bond free PEG-based resins may be more suited for general organic synthesis where reactivity of radicals, carbenes, carbanions, carbenium ions, or strong Lewis acids have to be considered. Loading of the resins can have a dramatic effect on the outcome of a synthesis and has to be considered separately for each synthesis. Synthesis of long peptides with 50-100 amino acids imposes completely different requirements on the performance, swelling, and loading than a large-scale synthesis of, for example, the pentapeptide enkephalin. Automated multiple synthesizers constructed for columns of beaded gel or composite supports are available from many suppliers. It is therefore expected that the optimization of support properties will continue in order to meet new synthetic challenges. In the synthesis for solid-phase screening of binding of biomolecules to ligands directly on the resin beads, it is an advantage if the resin is not permeable to the biomolecule so unbound molecules can easily be removed by washing. This is the case with polystyrene-based resins, but they do, however, often show nonspecific adhesion of proteins owing to the hydrophobic character of the polystyrene. Modification of the functional groups of polystyrene with polyethylene glycol as spacers for synthesis of the binding ligands can increase the available ligand concentration on the bead surface and eliminate most of the nonspecific adhesion. In contrast to binding studies, solid-phase assays of enzymes require beads that are permeable to the enzyme, as the progress of reaction can be followed and the product of reaction analyzed. The available amount on the surface of the polystyrene-based beads (approximately 0.3%) is not enough for product analysis. Therefore, in the case of enzyme assays, highly swelling permeable PEG-based gel resins or functionalized surfaces of a polar and porous matrix are preferred.

Drug release from hydrophilic matrices. 1. New scaling laws for predicting polymer and drug release based on the polymer disentanglement concentration and the diffusion layer

Two scaling laws for predicting polymer and drug release profiles from hydrophilic matrices were developed. They were developed on the basis of the diffusion layer and the polymer disentanglement concentration, rho p,dis, the critical polymer concentration below which polymer chains detach off a gelled matrix that is undergoing simultaneous swelling and dissolution. The relation between rho p,dis and molecular weight, M1 for (hydroxypropyl)methylcellulose (HPMC) in water was established as rho p,dis (g/mL) varies M-0.8. This power-law relationship for rho p,dis, along with the diffusion layer adjacent to the gelled matrix, leads to the scaling law of mp(t)/mp(infinity) varies Meq-1.15, where mp(t)/mp(infinity) is the fractional HPMC release. The scaling law explains the observation that polymer and drug release rates decreased sharply with M at low M and approach limiting values at high M. Experimentally, mp(t)/mp(infinity) was found to scale with Meq as mp(t)/mp(infinity) varies Meq-0.93, where Meq is the equivalent matrix molecular weight. Moreover, fractional drug release, md(t)/md(infinity), followed Meq as md(t)/md(infinity) varies Meq-0.48. These two scaling laws imply that, if the release profiles are known for one composition, release profiles for other compositions can be predicted. The above two power laws lead to two master curves for mp(t)/mp(infinity) and md(t)/md(infinity), suggesting that the release mechanism for soluble drugs from HPMC matrices is independent of matrix compositions, presumably via a diffusion-controlled process. Limitations of the power laws are discussed.

Drug release from hydrophilic matrices. 2. A mathematical model based on the polymer disentanglement concentration and the diffusion layer

A comprehensive model is developed to describe the swelling/dissolution behaviors and drug release from hydrophilic matrices. The major thrust of this model is to employ an important physical property of the polymer, the polymer disentanglement concentration, rho p,dis, the polymer concentration below which polymer chains detach off the gelled matrix. For (hydroxypropyl)methylcellulose (HPMC) in water, we estimate that rho p,dis scales with HPMC molecular weight, M, as rho p,dis varies M-0.8. Further, matrix dissolution is considered similar to the dissolution of an object immersed in a fluid. As a result, a diffusion layer separating the matrix from the bulk solution is incorporated into the transport regime. An anisotropic expansion model is also introduced to account for the anisotropic expansion of the matrix where surface area in the radial direction dominates over the axial surface area. The model predicts that the overall tablet size and the characteristic swelling time correlate with rho p,dis qualitatively. Two scaling laws are established for fractional polymer (mp(t)/mp(infinity)) and drug (md(t)/md(infinity)) released as mp(t)/mp(infinity) varies M-1.05 and md(t)/md(infinity) varies M-0.24, consistent with the limiting polymer molecular weight effect on drug release. Model predictions for polymer and drug release agree well with observations, within 15% error. Evolution of water concentration profiles and the detailed structure of a swollen matrix are discussed.