Molecular Dynamics Simulation Studies of Bile, Bile Salts, Lipid-Based Drug Formulations, and mRNA-Lipid Nanoparticles: A Review.

Lipid-based formulation (LBF) is an effective approach for delivering hydrophobic drugs into the systemic circulation by oral administration. However, much of the physical detail regarding the colloidal behavior of LBFs and their interactions with the contents of the gastrointestinal (GI) environment is not well characterized. Recently, researchers have started to use molecular dynamics (MD) simulations to investigate the colloidal behavior of LBF systems and their interactions with bile and other materials present in the GI tract. MD is a computational method, based on classical mechanics, that simulates the physical movements of atoms and provides atomic-scale information that cannot easily be retrieved using experimental investigations. MD can provide insight into assist the development of drug formulations in a cost and time-effective manner. This review summarizes the application of MD simulation to the study of bile, bile salts, and LBFs and their behavior within the GI environment and also discusses MD simulations of lipid-based mRNA vaccine formulations.

Computational and Experimental Models of Type III Lipid-Based Formulations of Loratadine Containing Complex Nonionic Surfactants.

Type III lipid-based formulations (LBFs) combine poorly water-soluble drugs with oils, surfactants, and cosolvents to deliver the drugs into the systemic circulation. However, the solubility of the drug can be influenced by the colloidal phases formed in the gastrointestinal tract as the formulation is dispersed and makes contact with bile and other materials present within the GI tract. Thus, an understanding of the phase behavior of LBFs in the gut is critical for designing efficient LBFs. Molecular dynamics (MD) simulation is a powerful tool for the study of colloidal systems. In this study, we modeled the internal structures of five type III LBFs of loratadine containing poly(ethylene oxide) nonionic surfactants polysorbate 80 and polyoxyl hydrogenated castor oil (Kolliphor RH40) using long-timescale MD simulations (0.4-1.7 µs). We also conducted experimental investigations (dilution of formulations with water) including commercial Claritin liquid softgel capsules. The simulations show that LBFs form continuous phase, water-swollen reverse micelles, and bicontinuous and phase-separated systems at different dilutions, which correlate with the experimental observations. This study supports the use of MD simulation as a predictive tool to determine the fate of LBFs composed of medium-chain lipids, polyethylene oxide surfactants, and polymers.

Molecular Dynamics Simulations and Experimental Results Provide Insight into Clinical Performance Differences between Sandimmune® and Neoral® Lipid-Based Formulations.

OBJECTIVE: Molecular dynamics (MD) simulations provide an in silico method to study the structure of lipid-based formulations (LBFs) and the incorporation of poorly water-soluble drugs within such formulations. In order to validate the ability of MD to effectively model the properties of LBFs, this work investigates the well-known cyclosporine A formulations, Sandimmune® and Neoral®. Sandimmune® exhibits poor dispersibility and its absorption from the gastrointestinal tract is enhanced when administered after food, whereas Neoral® disperses comparatively well and shows no food effect. METHODS: MD simulations were performed of both LBFs to investigate the differences observed in fasted and fed conditions. These conditions were also tested using an in vitro experimental model of dispersion and digestion. RESULTS: These MD simulations were able to show that the food effect observed for Sandimmune® can be explained by large changes in drug solubilization on addition of bile. In contrast, Neoral® is well dispersed in water or in simulated fasted conditions, and this dispersion is relatively unchanged on moving to fed conditions. These differences were confirmed using dispersion and digestion in vitro experimental model. CONCLUSIONS: The current data suggests that MD simulations are a potential method to model the fate of LBFs in the gastrointestinal tract, predict their dispersion and digestion, investigate behaviour of APIs within the formulations, and provide insights into the clinical performance of LBFs.

Cyclosporin Structure and Permeability: From A to Z and Beyond.

Cyclosporins are natural or synthetic undecapeptides with a wide range of actual and potential pharmaceutical applications. Several members of the cyclosporin compound family have remarkably high passive membrane permeabilities that are not well-described by simple structural metrics. Here we review experimental studies of cyclosporin structure and permeability, including cyclosporin-metal complexes. We also discuss models for the conformation-dependent permeability of cyclosporins and similar compounds. Finally, we identify current knowledge gaps in the literature and provide recommendations regarding future avenues of exploration.

Aqueous phase behavior of the PEO-containing non-ionic surfactant C12E6: A molecular dynamics simulation study.

HYPOTHESIS: Non-ionic surfactants containing polyethylene oxide (PEO) chains are widely used in drug formulations, cosmetics, paints, textiles and detergents. High quality molecular dynamics models for PEO surfactants can give us detailed, atomic-scale information about the behavior of surfactant/water mixtures. SIMULATIONS: We used two molecular dynamics force fields (FFs), 2016H66 and 53A6DBW, to model the simple non-ionic PEO surfactant, hexaoxyethylene dodecyl ether (C12E6). We investigated surfactant/water mixtures that span the phase diagram of starting from randomly distributed arrangements. In some cases, we also started with prebuilt, approximate models. The simulations results were compared with the experimentally observed phase behavior. FINDINGS: Overall, this study shows that the spontaneous self-assembly of PEO non-ionic surfactants into different colloidal structures can be accurately modeled with MD simulations using the 2016H66 FF although transitions to well-formed hexagonal phase are slow. Of the two FFs investigated, the 2016H66 FF better reproduces the experimental phase behavior across all regions of the C12E6/water phase diagram.

Location of Solvated Probe Molecules Within Nonionic Surfactant Micelles Using Molecular Dynamics.

An iconic textbook that pharmaceutical scientists encounter in undergraduate courses is "Martin's Physical Pharmacy and Pharmaceutical Sciences." Within the chapter on Colloids, a figure indicates the location of solubilization of molecules within spherical, nonionic surfactant micelles. The surfactant consists of polyethylene glycol (PEG) hydrophilic headgroups and alkane chains for the hydrophobic tail. The figure shows benzene and toluene within the alkane core, salicylic acid (2-hydroxybenzoic acid) at the interface between the core and PEG chains, and then para-hydroxybenzoic acid (4-hydroxybenzoic acid) located between the PEG chains. Molecular dynamics simulations of octaethylene glycol monododecyl ether micelles were performed with a series of probe molecules, including those within the Martin's figure, to determine their solubilization location. Relative placement of molecules within the micelle was correct; however, some specifics were different. In particular, benzene and toluene are excluded from the core, and 4-hydroxybenzoic acid prefers to maintain contact with the core. A series of molecules containing 6 carbon atoms were also studied to determine the effects of cyclization (moves out of core), polar functionalization (anchored to interface), and aromatization (excluded from central core). Molecular dynamics was found to be a useful tool for gaining insight into interactions important in solubilization of molecules.

Improvement in the Predicted Partitioning of Alcohol and Polyethylene Oxide Groups Between Water and Octanol (logP) in Molecular Dynamics Simulations.

Molecular dynamics simulations can be applied to explore the complex liquid phase behavior of lipid-based formulations and the gastrointestinal tract lumen. In order for the results from these simulations to be of value, the manner in which molecules interact with both aqueous and oil phases present needs to be as correct as possible. An existing molecular dynamics force field, GROMOS 53a6, was demonstrated to poorly reproduce the partitioning of straight-chain alcohol and short-chain polyethylene glycol (PEG) molecules between octanol and water phase (logP), with the molecules too hydrophobic. Force field parameters for Lennard-Jones interactions between CH2 and CH3 with water oxygen were adjusted to reproduce the experimental octanol logP, with all other Lennard-Jones and force field parameters left untouched. This parameter set, called 53a6DBW, was subsequently used to recalculate straight-chain alcohol and short-chain PEG molecules, with significant improvement in the values obtained. Simulations of a nonionic surfactant in water, octaethylene glycol monocaprylate, were also performed to observe the aggregation behavior. 53a6DBW demonstrated significant improvements in water interactions with the PEG chains, well hydrating the PEG groups, and allowing the formation of micelles. Further improvements and evaluation of the improved parameter set are ongoing.

A Nonionic Polyethylene Oxide (PEO) Surfactant Model: Experimental and Molecular Dynamics Studies of Kolliphor EL.

Polyethoxylated, nonionic surfactants are important constituents of many drug formulations, including lipid-based formulations. In an effort to better understand the behavior of formulation excipients at the molecular level, we have developed molecular dynamics (MD) models for the widely used surfactant Kolliphor EL (KOL), a triricinoleate ester of ethoxylated glycerol. In this work, we have developed models based on a single, representative molecular component modeled with 2 force field variations based on the GROMOS 53A6DBW and 2016H66 force field parameters for polyethoxylate chains. To compare the computational models to experimental measurements, we investigated the phase behavior of KOL using nephelometry, dynamic light scattering, cross-polarized microscopy, small-angle X-ray scattering, and cryogenic transmission electron microscopy. The potential for digestion of KOL was also evaluated using an in vitro digestion experiment. We found that the size and spherical morphology of the KOL colloids at low concentrations was reproduced by the MD models as well as the growing interactions between the aggregates to from rod-like structures at high concentrations. We believe that this model reproduces the phase behavior of KOL relevant to drug absorption and that it can be used in whole formulation simulations to accelerate the formulation development.

Computational Models of the Intestinal Environment. 3. The Impact of Cholesterol Content and pH on Mixed Micelle Colloids.

In this study, we use molecular dynamics (MD) and experimental techniques (nephelometry and dynamic light scattering) to investigate the influence of cholesterol content and pH on the colloidal structures that form in the gastrointestinal (GI) tract upon lipid digestion. We demonstrate that the ionization state of the molecular species is a primary driver for the self-assembly of aggregates formed by model bile and therefore should be considered when performing in silico modeling of colloidal drug delivery systems. Additionally, the incorporation of physiological concentrations of cholesterol within the model systems does not affect size, number, shape, or dynamics of the aggregates to a significant degree. The MD data shows a reduction in aggregate size with increasing pH, a preference for glycodeoxycholate (GDX) to occupy the aggregate surface, and that the mixed micellar aggregates are oblate spheroids (disc-like). The results obtained assist in understanding the process by which pH and cholesterol influence self-assembly of mixed micelles within the GI tract. The MD approach provides a platform for investigation of interactions of drugs and formulation excipients with the endogenous contents of the GI tract.

Computational Models of the Gastrointestinal Environment. 1. The Effect of Digestion on the Phase Behavior of Intestinal Fluids.

Improved models of the gastrointestinal environment have great potential to assist the complex process of drug formulation. Molecular dynamics (MD) is a powerful method for investigating phase behavior at a molecular level. In this study we use multiple MD simulations to calculate phase diagrams for bile before and after digestion. In these computational models, undigested bile is represented by mixtures of palmitoyl-oleoylphosphatidylcholine (POPC), sodium glycodeoxycholate (GDX), and water. Digested bile is modeled using a 1:1 mixture of oleic acid and palmitoylphosphatidylcholine (lysophosphatidylcholine, LPC), GDX, and water. The computational phase diagrams of undigested and digested bile are compared, and we describe the typical intermolecular interactions that occur between phospholipids and bile salts. The diffusion coefficients measured from MD simulation are compared to experimental diffusion data measured by DOSY-NMR, where we observe good qualitative agreement. In an additional set of simulations, the effect of different ionization states of oleic acid on micelle formation is investigated.

Computational Models of the Gastrointestinal Environment. 2. Phase Behavior and Drug Solubilization Capacity of a Type I Lipid-Based Drug Formulation after Digestion.

Lipid-based drug formulations can greatly enhance the bioavailability of poorly water-soluble drugs. Following the oral administration of formulations containing tri- or diglycerides, the digestive processes occurring within the gastrointestinal (GI) tract hydrolyze the glycerides to mixtures of free fatty acids and monoglycerides that are, in turn, solubilized by bile. The behavior of drugs within the resulting colloidal mixtures is currently not well characterized. This work presents matched in vitro experimental and molecular dynamics (MD) theoretical models of the GI microenvironment containing a digested triglyceride-based (Type I) drug formulation. Both the experimental and theoretical models consist of molecular species representing bile (glycodeoxycholic acid), digested triglyceride (1:2 glyceryl-1-monooleate and oleic acid), and water. We have characterized the phase behavior of the physical system using nephelometry, dynamic light scattering, and polarizing light microscopy and compared these measurements to phase behavior observed in multiple MD simulations. Using this model microenvironment, we have investigated the dissolution of the poorly water-soluble drug danazol experimentally using LC-MS and theoretically by MD simulation. The results show how the formulation lipids alter the environment of the GI tract and improve the solubility of danazol. The MD simulations successfully reproduce the experimental results showing the utility of MD in modeling the fate of drugs after digestion of lipid-based formulations within the intestinal lumen.

Digestion of phospholipids after secretion of bile into the duodenum changes the phase behavior of bile components.

Bile components play a significant role in the absorption of dietary fat, by solubilizing the products of fat digestion. The absorption of poorly water-soluble drugs from the gastrointestinal tract is often enhanced by interaction with the pathways of fat digestion and absorption. These processes can enhance drug absorption. Thus, the phase behavior of bile components and digested lipids is of great interest to pharmaceutical scientists who seek to optimize drug solubilization in the gut lumen. This can be achieved by dosing drugs after food or preferably by formulating the drug in a lipid-based delivery system. Phase diagrams of bile salts, lecithin, and water have been available for many years, but here we investigate the association structures that occur in dilute aqueous solution, in concentrations that are present in the gut lumen. More importantly, we have compared these structures with those that would be expected to be present in the intestine soon after secretion of bile. Phosphatidylcholines are rapidly hydrolyzed by pancreatic enzymes to yield equimolar mixtures of their monoacyl equivalents and fatty acids. We constructed phase diagrams that model the association structures formed by the products of digestion of biliary phospholipids. The micelle-vesicle phase boundary was clearly identifiable by dynamic light scattering and nephelometry. These data indicate that a significantly higher molar ratio of lipid to bile salt is required to cause a transition to lamellar phase (i.e., liposomes in dilute solution). Mixed micelles of digested bile have a higher capacity for solubilization of lipids and fat digestion products and can be expected to have a different capacity to solubilize lipophilic drugs. We suggest that mixtures of lysolecithin, fatty acid, and bile salts are a better model of molecular associations in the gut lumen, and such mixtures could be used to better understand the interaction of drugs with the fat digestion and absorption pathway.

Choice of nonionic surfactant used to formulate type IIIA self-emulsifying drug delivery systems and the physicochemical properties of the drug have a pronounced influence on the degree of drug supersaturation that develops during in vitro digestion.

The performance of self-emulsifying drug delivery systems (SEDDS) is influenced by their tendency to generate supersaturated systems during dispersion and digestion in the gastrointestinal tract. This study investigated the effect of drug loading on supersaturation during digestion of fenofibrate or danazol SEDDS, each formulated using long-chain lipids and a range of nonionic surfactants. Supersaturation was described by the maximum supersaturation ratio (SR(M) ) produced by in vitro digestion. This parameter was calculated as the ratio of the total concentration of drug present in the digestion vessel versus the drug solubility in the colloidal phases formed by digestion of the SEDDS. SR(M) proved to be a remarkable indicator of performance across a range of lipid-based formulations. SEDDS containing danazol showed little evidence of precipitation on digestion, even at drug loads approaching saturation in the formulation. In contrast, fenofibrate crystallized extensively on digestion of the corresponding series of SEDDS, depending on the drug loading. The difference was explained by the generation of higher SR(M) values by fenofibrate formulations. A threshold SR(M) of 2.5-2.6 was identified in six of the seven SEDDS. This is not a definitive threshold for precipitation, but in general when SR(M) is greater than 3, fenofibrate supersaturation could not be maintained.

Glyceride lipid formulations: molecular dynamics modeling of phase behavior during dispersion and molecular interactions between drugs and excipients.

PURPOSE: Little is known about the microstructure of lipid-based formulations, or how their structure changes as they disperse in the lumen of the gastrointestinal tract. We used molecular dynamics (MD) simulation to study such formulations at the molecular level as they interact with water during dispersion. METHODS: We studied a simple lipid formulation, by itself and in the presence of drugs. The formulation contained mono- and di-lauroyl glycerides at 0-75% (w)/w water. Acyclovir, danazol, hydrocortisone, ketoprofen or progesterone, were included to investigate their dynamic behavior and localization during dispersion. RESULTS: Micro-structuring of the formulation was evident at all water concentrations. As the water content increased, the microstructure evolved from a continuous phase containing isolated water molecules, to a reverse micellar solution and finally to a system containing lamellar lipids with large pools of free water. Drugs partitioned into the aqueous and lipid domains principally under the influence of hydrogen bonding and hydrophobic interactions. Drugs located preferentially to the interfaces between water and lipid where they are able to make both hydrophobic and hydrophilic interactions. CONCLUSION: Molecular dynamics simulations offer an unprecedented view of the structure of lipid-based formulations and has considerable potential as an in silico tool for formulators.

Evaluation of the structural determinants of polymeric precipitation inhibitors using solvent shift methods and principle component analysis.

The presence of polymers within solid dose forms, such as solid dispersions, or liquid or semisolid formulations, such as lipid-based formulations, can promote the maintenance of drug supersaturation after dissolution or dispersion/digestion of the vehicle in the gastrointestinal tract. Transiently stable supersaturation delays precipitation, increases thermodynamic activity, and may enhance bioavailability and reduce variability in exposure. In the current study a diverse range of 42 different classes of polymers, with a total of 78 polymers across all classes, grades, and molecular weights were examined, to varying degrees, as potential polymeric precipitation inhibitors (PPIs) using a solvent shift method to initiate supersaturation. To provide a deeper understanding of the molecular determinants of polymer utility the data were also analyzed, along with a range of physicochemical descriptors of the polymers employed, using principle component analysis (PCA). Polymers were selectively tested for their ability to stabilize supersaturation for nine poorly water-soluble model drugs, representing a range of nonelectrolytes, weak acids, and weak bases. In general, the cellulose-based polymers (and in particular hydroxypropylmethyl cellulose, HPMC, and its derivatives) provided robust precipitation inhibition across most of the drugs tested. Subsequent PCA indicate that there is consistent PPI behavior of a given polymer for a given drug type, with clear clustering of the performance of polymers with each of the nonelectrolytes, weak bases, and weak acids. However, there are some exceptions to this, with some specific drug type-polymer interactions also occurring. Polymers containing primary amine functional groups should be avoided as they are prone to enhancing precipitation rates. An inverse relationship was also documented for the number of amide, carboxylic acid, and hydroxyl functional groups; therefore for general good PPI performance the number of these contained within the polymer should be minimized. Molecular weight is a poor predictor of performance, having only a minor influence, and in some cases a higher molecular weight enhances the precipitation process. The importance of ionic interactions to the ability of a PPI to stabilize the supersaturated state was demonstrated by the advantage of choosing a polymer with an opposite charge with respect to the drug. Additionally, when the polymer charge is the same as the supersaturated drug, precipitation is likely to be enhanced. A PCA model based on polymer molecular properties is presented, which has a central oval region where the polymer will general perform well across all three drug types. If the polymer is located outside of this region, then they either show compound-specific inhibition or enhance precipitation. Incomplete separation of the PPI performance based on the molecular properties on the polymers indicates that there are some further molecular properties that might improve the correlation.

In vitro assessment of drug-free and fenofibrate-containing lipid formulations using dispersion and digestion testing gives detailed insights into the likely fate of formulations in the intestine.

The solubilizing properties of lipid-based formulations (LBFs) can change dramatically following dispersion and digestion of the formulation components. This study investigated the performance of self-emulsifying LBFs consisting of four different long-chain (LC)/medium-chain (MC) lipid blends formulated with the lipophilic drug fenofibrate and either a water-insoluble surfactant polysorbate 85 (Tween 85) or its more hydrophilic relative, polysorbate 80 (Tween 80). These components allowed closely related Type II and IIIA LBFs of fenofibrate to be evaluated during in vitro dispersion and in vitro digestion testing. Initial assessment of the solvent capacity of drug-free LBFs during dispersion and digestion revealed that the solubility of fenofibrate was more dependent on the surfactant type rather than lipid composition. Type II LBFs in the dispersed state were generally better at solubilizing fenofibrate than equivalent Type IIIA LBFs, regardless of lipid composition. However, even when high drug loadings were used, supersaturation/drug precipitation after dispersion of Type II or Type IIIA LBFs was only moderate. In contrast, digestion of both Type II and IIIA LBFs led to much higher levels of drug supersaturation, and this resulted in drug precipitation. After digestion the ability of each LBF to maintain drug in a solubilized state was highly dependent on lipid composition as well as the choice of surfactant. Notably, MC lipids exhibited very good solubilizing properties in the dispersed state, but resulted in a higher degree of supersaturation on digestion, leading to higher susceptibility to drug precipitation. This study showed that replacing LC lipids with MC lipids in Type II and IIIA LBF, in the proportions used here has little effect on fenofibrate solubilization during dispersion, but is likely to promote supersaturation on digestion. Without careful consideration of drug loading and choice of surfactant in Type II/IIIA MC lipid formulations, there is a high risk of precipitation of drug in the intestine.

In vitro digestion testing of lipid-based delivery systems: calcium ions combine with fatty acids liberated from triglyceride rich lipid solutions to form soaps and reduce the solubilization capacity of colloidal digestion products.

In vitro digestion testing is of practical importance to predict the fate of drugs administered in lipid-based delivery systems. Calcium ions are often added to digestion media to increase the extent of digestion of long-chain triglycerides (LCTs), but the effects they have on phase behaviour of the products of digestion, and consequent drug solubilization, are not well understood. This study investigates the effect of calcium and bile salt concentrations on the rate and extent of in vitro digestion of soybean oil, as well as the solubilizing capacity of the digestion products for two poorly water-soluble drugs, fenofibrate and danazol. In the presence of higher concentrations of calcium ions, the solubilization capacities of the digests were reduced for both drugs. This effect is attributed to the formation of insoluble calcium soaps, visible as precipitates during the digestions. This reduces the availability of liberated fatty acids to form mixed micelles and vesicles, thereby reducing drug solubilization. The use of high calcium concentrations does indeed force in vitro digestion of LCTs but may overestimate the extent of drug precipitation that occurs within the intestinal lumen.

Using molecular dynamics to study liquid phase behavior: simulations of the ternary sodium laurate/sodium oleate/water system.

The prediction of surfactant phase behavior has applications in a wide range of areas. An accurate modeling of liquid phase behavior can aid our understanding of colloidal process or be used to design phases that respond in a defined way to their environment. In this work, we use molecular dynamics to model the phase behavior of the ternary sodium laurate/sodium oleate/water system and compare the simulation results to experimental data. Simulations were performed with the GROMOS 53A6 united-atom force field and cover the entire ternary phase diagram, producing micellar, hexagonal, and lamellar phases. The aggregate simulation time for the 33 simulations performed during this study is 4.4 µs. We find that the simulations were able to model the experimentally observed liquid phase behavior accurately, showing that the carboxylate and lipid parameters of the 53A6 force field give very good quality results for the in silico prediction of liquid system phase behavior.

Real time evolution of liquid crystalline nanostructure during the digestion of formulation lipids using synchrotron small-angle X-ray scattering.

The role of the digestion of lipids in facilitating absorption of poorly water-soluble compounds, such as vitamins, is not only an important nutritional issue but is increasingly being recognized as an important determinant in the effectiveness of lipid-based drug formulations. It has been known for some time that lipids often form complex liquid crystalline structures during digestion and that this may impact drug solubilization and absorption. However, until recently we have been unable to detect and characterize those structures in real time and have been limited in establishing the interplay between composition, digestion, and nanostructure. Here, we establish the use of an in vitro lipid digestion model used in conjunction with synchrotron small-angle X-ray scattering by first confirming its validity using known, nondigestible liquid crystalline systems, and then extend the model to study the real time evolution of nanostructure during the digestion of common formulation lipids. The formation of liquid crystalline structures from unstructured liquid formulations is discovered, and the kinetics of formation and dependence on composition is investigated.

Using polymeric precipitation inhibitors to improve the absorption of poorly water-soluble drugs: A mechanistic basis for utility.

The inclusion of certain polymers within solid dispersion or lipid-based formulations can maintain drug supersaturation after dispersion and/or digestion of the vehicle, leading to improvements in bioavailability and variability in exposure. This review presents an overview of the fundamental principles that underpin drug precipitation mechanisms, describes the mechanisms by which precipitation may be inhibited, discusses the methods that can be used to identify polymeric precipitation inhibitors (PPIs), and summarizes current literature evidence of the most effective PPIs. Preliminary data from our laboratory is also presented, which describes the precipitation inhibition behavior of 53 polymeric materials using supersaturated solutions of danazol as a model, poorly water-soluble drug. These studies identify a group of PPIs with superior precipitation inhibition qualities, the majority of which are cellulose-based. These new results in combination with previous published data indicate that PPIs represent an appealing new technology with the potential to improve drug absorption for poorly water-soluble drugs. The molecular determinants of polymer utility, however, remain relatively poorly understood, although the cellulose derivates appear, in general, to provide the most benefit. More detailed studies are therefore required to define the parameters that most effectively predict and quantify the drug-polymer relationships that control precipitation inhibition.