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Optimizing drug delivery systems using systematic "design of experiments." Part I: fundamental aspects.

Design of an impeccable drug delivery product normally encompasses multiple objectives. For decades, this task has been attempted through trial and error, supplemented with the previous experience, knowledge, and wisdom of the formulator. Optimization of a pharmaceutical formulation or process using this traditional approach involves changing one variable at a time. Using this methodology, the solution of a specific problematic formulation characteristic can certainly be achieved, but attainment of the true optimal composition is never guaranteed. And for improvement in one characteristic, one has to trade off for degeneration in another. This customary approach of developing a drug product or process has been proved to be not only uneconomical in terms of time, money, and effort, but also unfavorable to fix errors, unpredictable, and at times even unsuccessful. On the other hand, the modern formulation optimization approaches, employing systematic Design of Experiments (DoE), are extensively practiced in the development of diverse kinds of drug delivery devices to improve such irregularities. Such systematic approaches are far more advantageous, because they require fewer experiments to achieve an optimum formulation, make problem tracing and rectification quite easier, reveal drug/polymer interactions, simulate the product performance, and comprehend the process to assist in better formulation development and subsequent scale-up. Optimization techniques using DoE represent effective and cost-effective analytical tools to yield the "best solution" to a particular "problem." Through quantification of drug delivery systems, these approaches provide a depth of understanding as well as an ability to explore and defend ranges for formulation factors, where experimentation is completed before optimization is attempted. The key elements of a DoE optimization methodology encompass planning the study objectives, screening of influential variables, experimental designs, postulation of mathematical models for various chosen response characteristics, fitting experimental data into these model(s), mapping and generating graphic outcomes, and design validation using model-based response surface methodology. The broad topic of DoE optimization methodology is covered in two parts. Part I of the review attempts to provide thought-through and thorough information on diverse DoE aspects organized in a seven-step sequence. Besides dealing with basic DoE terminology for the novice, the article covers the niceties of several important experimental designs, mathematical models, and optimum search techniques using numeric and graphical methods, with special emphasis on computer-based approaches, artificial neural networks, and judicious selection of designs and models.

Drug Delivery Systems↗

State-selected dynamics of the complex-forming bimolecular reaction Cl- +CH3 Cl'-->ClCH3+Cl'-: a four-dimensional quantum scattering study.

Time-independent quantum scattering calculations have been carried out on the Walden inversion S(N)2 reaction Cl(-)+CH(3)Cl(')(v(1),v(2),v(3))-->ClCH(3)(v(1) ('),v(2) ('),v(3) ('))+Cl('-). The two C-Cl stretching modes (quantum numbers v(3) and v(3) (')) and the totally symmetric internal modes of the methyl group (C-H stretching vibration, v(1) and v(1) ('), and inversion bending vibration, v(2) and v(2) (')) are treated explicitly. A four-dimensional coupled cluster potential energy surface is employed. The scattering problem is formulated in hyperspherical coordinates using the exact Hamiltonian and exploiting the full symmetry of the problem. Converged state-selected reaction probabilities and product distributions have been calculated up to 6100 cm(-1) above the vibrational ground state of CH(3)Cl, i.e., up to initial vibrational excitation (2,0,0). In order to extract all scattering resonances, the energetic grid was chosen to be very fine, partly down to a resolution of 10(-12) cm(-1). Up to 2500 cm(-1) translational energy, initial excitation of the umbrella bending vibration, (0,1,0), is more efficient for reaction than exciting the C-Cl stretching mode, (0,0,1). The combined excitation of both vibrations results in a synergic effect, i.e., a considerably higher reaction probability than expected from the sum of both independent excitations, even higher than (0,0,2) up to 1500 cm(-1) translational energy. Product distributions show that the umbrella mode is strongly coupled to the C-Cl stretching mode and cannot be treated as a spectator mode. The reaction probability rises almost linearly with increasing initial excitation of the umbrella bending mode. The effect with respect to the C-Cl stretch is five times larger for more than two quanta in this mode, and in agreement with previous work saturation is found. Exciting the high-frequency C-H stretching mode, (1,0,0), yields a large increase for small energies [more than two orders of magnitude larger than (0,0,0)], while for translational energies higher than 2000 cm(-1), it becomes a pure spectator mode. For combined initial excitations including the symmetric C-H stretch, the spectator character of the latter is even more pronounced. However, up to more than 1500 cm(-1) translational energy, the C-H vibration does not behave adiabatically during the course of reaction, because only 20% of the initial energy is found in the same mode of the product molecule. The distribution of resonance widths and peak heights is discussed, and it is found that individual resonances pertinent to intermediate complexes Cl(-)...CH(3)Cl show product distributions independent of the initial vibrational state of the reactant molecule. The relatively high reactivity, of resonance states with respect to excitation of any mode, found in previous work is confirmed in the present calculations. However, reactivity of intermediate states and reactivity with respect to initial vibrational excitation have to be distinguished. There is a strong mixing between the vibrational states reflected in numerous avoided crossings of the hyperspherical adiabatic curves.

Journal Article↗

The pharmacokinetics and pharmacodynamics of propofol in a modified cyclodextrin formulation (Captisol) versus propofol in a lipid formulation (Diprivan): an electroencephalographic and hemodynamic study in a porcine model.

UNLABELLED: The currently marketed propofol formulation has a number of undesirable properties that are in part a function of the lipid emulsion formulation, including pain on injection, serious allergic reactions, and the support of microbial growth. A modified cyclodextrin-based formulation of propofol (sulfobutyl ether-beta-cyclodextrin) has been developed that may mitigate some of these formulation-dependent problems. However, reformulation may alter propofol's pharmacologic behavior. Our aim in this study was to compare the pharmacokinetics and pharmacodynamics of propofol in the currently marketed lipid-based formulation with those of the novel cyclodextrin formulation. We hypothesized that the pharmacokinetics and pharmacodynamics of the propofol in cyclodextrin would be substantially similar to those of the propofol in lipid. Thirty-two isoflurane-anesthetized animals were instrumented with pulmonary artery, arterial, and IV catheters and were randomly assigned to receive either propofol in lipid or propofol in cyclodextrin by continuous infusion. Arterial blood samples for propofol assay were collected. The processed electroencephalogram, heart rate, mean arterial blood pressure, and cardiac output were measured continuously. The propofol formulations were compared by using model-independent analysis techniques. Combined kinetic/dynamic models were also constructed for simulation purposes. There were no significant differences in the pharmacokinetics or pharmacodynamics of the two propofol formulations. The simulations based on the combined pharmacokinetic/pharmacodynamic models confirmed the substantial similarity of the two formulations. The hypothesis that the propofol-in-cyclodextrin formulation would exhibit pharmacokinetic and pharmacodynamic behavior that was substantially similar to the propofol-in-lipid formulation was confirmed. IMPLICATIONS: A modified cyclodextrin-based formulation of propofol has been developed that may mitigate some of the problems associated with propofol in lipid emulsion. However, reformulation of propofol may change its clinical characteristics. This study in a pig model showed that the novel propofol formulation was substantially similar to the lipid emulsion propofol formulation.

Anesthetics, Intravenous↗

Light scattering by arbitrarily oriented rotationally symmetric particles.

We use the T-matrix approach and the analytical orientation-averaging technique to formulate the problem of light scattering by an ensemble of rotationally symmetric particles in arbitrary orientation. The mathematical formulation yields analytical expressions for the elements of the ensemble-averaged scattering matrix that involve no more than four nested summations. An expansion into generalized spherical functions is used in the particular case where the scatterers are partially aligned along the direction of incidence. A computer code that implements the analytical expressions derived is publicly available on the World Wide Web at http://irctr.et.tudelft.nl/ -Skaropoulos/T-matrix.htm.

Journal Article↗

Problem-based learning.

Problem-based learning has been used in medical school in a number of different countries around the world for over 50 years, with both undergraduate and graduate students. Instead of the traditional lectures, laboratory practical classes and tutorial system of education, students in small groups are presented with a problem that they must try to solve. They are assisted by a 'facilitator' who helps them formulate the problem and generally advises them but does not supply information. The students have to decide what information they need to solve the problem, find it and communicate it to the others in the group. At this stage a solution may be apparent, but several more group discussions to reformulate the problem followed by re-iterations of the information seeking process may be needed before a solution can be found. The theory is that because information is sought and presented in a relevant context, it is valued and is more likely to be remembered. At the end of the session student reflect on how they performed. Problem-based learning has been criticised from a number of points of view, especially that it does not present a coherent curriculum, the curriculum is not necessarily 'covered', and that in many medical schools the implementation has been less than optimal.

Curriculum↗

The psychology of the Monty Hall problem: discovering psychological mechanisms for solving a tenacious brain teaser.

The Monty Hall problem (or three-door problem) is a famous example of a "cognitive illusion," often used to demonstrate people's resistance and deficiency in dealing with uncertainty. The authors formulated the problem using manipulations in 4 cognitive aspects, namely, natural frequencies, mental models, perspective change, and the less-is-more effect. These manipulations combined led to a significant increase in the proportion of correct answers given by novice participants, largely because of the synergy of frequency-based formulation and perspective change (Experiments 1, 2). In a raining study (Experiment 3) frequency formulation and mental models, but not Bayes's rule training, showed significant positive transfer in solving related problems.

Adult↗

Parameter optimisation of real-time control strategies for urban wastewater systems.

Real-time control (RTC) of wastewater systems has been a topic of research and application for over two decades. Attempts so far have mainly focused on one of the parts of the urban wastewater system: either the sewer system, or the treatment plant or the river. Approaches to integrate these subsystems and considering them jointly for control purposes have been pursued only recently. Control of the systems aims at pursuing one (or several concomitant) objectives, which are expressed, for example, in terms of overflow volumes, loads, effluent concentrations, receiving water quality or monetary costs, to name just a few. This paper provides a general and formal definition of the problem to define a real time control algorithm for a given urban wastewater system. A general mathematical optimization problem is formulated, which describes the task of finding an (in some sense) optimum control algorithm. Since this optimization problem is, in the general case, highly non-linear with only limited information available about the objective function itself, optimization methods appropriate for this type of problem are identified. Here, the similarity of the problem to find a control algorithm and of the parameter estimation problem common in mathematical modelling becomes apparent. Hence, methods (and problems encountered) in parameter estimation can be transferred to the problem of determining optimum RTC algorithms. This parallelism is outlined in the paper. As an application of the parameterisation and optimization of control strategies, integrated control of an urban wastewater system is discussed. Since the analysis of integrated control as just described poses certain requirements on a simulation engine, a novel modelling tool, called SYNOPSIS, is utilized here. This simulation tool, comprising of modules simulating water quantity and quality processes in all parts of the urban wastewater system, is embedded into a suite of optimization procedures. An integrated RTC algorithm for the urban wastewater system is formulated, the parameters of which are optimized using various global optimization routines. Comparison of their efficiency indicates good performance for the Controlled Random Search and for the genetic algorithms. The findings suggest that integrated control can indeed lead to an increase in performance of the urban wastewater system. These results appear to be encouraging and justify further work. Areas for further development are identified in the final section of the paper.

Algorithms↗

Single-frame multichannel blind deconvolution by nonnegative matrix factorization with sparseness constraints.

Single-frame multichannel blind deconvolution is formulated by applying a bank of Gabor filters to a blurred image. The key observation is that spatially oriented Gabor filters produce sparse images and that a multichannel version of the observed image can be represented as a product of an unknown nonnegative sparse mixing vector and an unknown nonnegative source image. Therefore a blind-deconvolution problem is formulated as a nonnegative matrix factorization problem with a sparseness constraint. No a priori knowledge about the blurring kernel or the original image is required. The good experimental results demonstrate the viability of the proposed concept.

Journal Article↗

Buried Plant Detection: A Volterra Series Modelling Approach Using Artificial Neural Networks.

This paper discusses the embedding of artificial neural networks (ANNs) into the framework of the Volterra series for modelling the problem of detecting buried pipes. This problem is formulated as a classification task whereby it is necessary to discriminate between the ground surface and an actual pipe reflection buried in noise in the return signal from ground probing radar. The objective is to filter out the unwanted surface reflection to enable improved mapping of the site being surveyed. Since the ANN correctly maps out a real test site, it can be viewed as having modelled the system transfer function relating the training patterns to their respective classes. Using the weights learnt by the ANN and its nodal functions, this transfer function is mathematically formulated. It is shown that the latter leads to a Volterra series representation of the pipe detection problem and effectively lends itself to the extraction of the Volterra kernels for this particular system. Copyright 1996 Elsevier Science Ltd

Journal Article↗

Utilization of volatile fatty acids and improvement of fluid therapy for treatment of dehydration in diarrheic calves.

Oral glucose-electrolytes solutions have been first developed for treatment of watery diarrhea in situations where resources are limited. However, oral therapy proved by no means to be a limited or alternative form of treatment and it must be now considered as the treatment of choice for acute diarrhea of practically all etiologies. Furthermore, it must be pointed out that, whatever the additional treatments (antibiotics essentially), oral therapy and suppression of milk feeding have to be effected as soon as possible. Glucose-facilited sodium transport is one of the main processes involved in efficiency of oral formulations. However, recent investigations in our laboratory have shown that acetate (and propionate) brought about a substantial stimulation of sodium and water absorption in the small intestine. This effect was all the more interesting since it was observed throughout the small intestine, in contrast to solutes such as glucose, aminoacids or chloride. Furthermore, acetate affords the possibility of having a more physiological Na/Cl ratio, for correction of acidosis. Besides, acetate may display a delayed alkalinizing effect after metabolization. Propionate also exhibits interesting properties on sodium absorption and as glucogenic substrate after absorption. Field evaluation have demonstrated the efficiency of oral formulations including acetate and propionate (treatment of more than 100 000 diarrheic calves), with generally more than 95% success. Further progress should be expected from improvement in energy supply from oral formulations. The problem is at present the matter of investigations, particularly by utilization of lactose in carefully balanced electrolytes formulations.

Acetates↗

Absence of a significant pharmacokinetic interaction between hydrochlorothiazide and triamterene when coadministered.

Hydrochlorothiazide, triamterene, and hydroxytriamterene sulfate were monitored in the plasma and urine of 24 healthy young men taking single doses of a liquid preparation containing both hydrochlorothiazide and triamterene, liquid preparations containing either of these drugs alone, and a combination tablet recently formulated with a dose ratio of hydrochlorothiazide : triamterene (1 : 1.5) found to give optimal potassium-sparing effect. In contradiction to a recent publication, no interaction between the drugs affecting the bioavailability or renal clearance of either could be demonstrated. The previous report of drug-drug interaction probably arose from formulation-related problems with bioavailability from the two capsule and two tablet products which had been studied. A well-formulated hydrochlorothiazide-triamterene combination tablet promotes plasma concentrations and urinary excretion of hydrochlorothiazide, triamterene, and hydroxytriamterene sulfate which are virtually identical to those seen after either a combination liquid dosage form or simple liquid forms containing only one of the two drugs.

Adult↗

Modelling and simulation of complex control structures in cell biology.

Biological and biomedical tissues and organs represent very complex and highly dynamic systems. The problem to model such complex systems is twofold. First, it is necessary to identify and describe the biological properties and the connecting control mechanisms of the studied system and its subparts. Here, biological knowledge is often missing. Secondly, we are confronted with the problem to formulate the model of the control structure in a form that allows model analysis. Here, a normal mathematical formalism is often inadequate. To solve these modelling problems and to develop methods for building models of complex control structures that will enable the formulation of dynamic systems in biology, a framework for building such models is presented. The model framework is here mainly used for studies of dynamic cell structures, but the possible application areas are more general. An example is given for modelling cell structures of epithelial tissues in the intestine.

Cell Physiological Phenomena↗

Assignment of orthologous genes via genome rearrangement.

The assignment of orthologous genes between a pair of genomes is a fundamental and challenging problem in comparative genomics. Existing methods that assign orthologs based on the similarity between DNA or protein sequences may make erroneous assignments when sequence similarity does not clearly delineate the evolutionary relationship among genes of the same families. In this paper, we present a new approach to ortholog assignment that takes into account both sequence similarity and evolutionary events at a genome level, where orthologous genes are assumed to correspond to each other in the most parsimonious evolving scenario under genome rearrangement. First, the problem is formulated as that of computing the signed reversal distance with duplicates between the two genomes of interest. Then, the problem is decomposed into two new optimization problems, called minimum common partition and maximum cycle decomposition, for which efficient heuristic algorithms are given. Following this approach, we have implemented a high-throughput system for assigning orthologs on a genome scale, called SOAR, and tested it on both simulated data and real genome sequence data. Compared to a recent ortholog assignment method based entirely on homology search (called INPARANOID), SOAR shows a marginally better performance in terms of sensitivity on the real data set because it is able to identify several correct orthologous pairs that are missed by INPARANOID. The simulation results demonstrate that SOAR, in general, performs better than the iterated exemplar algorithm in terms of computing the reversal distance and assigning correct orthologs.

Algorithms↗

[Problem of sphere formation in mathematical models of morphogenesis].

The model of a process of morphogenesis is described, being a new link in the series of mathematical models of morphogenesis based on the local interactions of cells (see [6]) and the first space model of the series. A corresponding mathematical problem is formulated. The results of the proper computer calculations are published, showing that the chosen rule of motion solves the problem of sphere formation for a very large class of initial states of all investigated types of nets. The processes taking place in solving the problem of sphere formation are considered.

Computers↗

Binding and the phenomenal unity of consciousness.

The binding problem is frequently discussed in consciousness research. However, it is by no means clear what the problem is supposed to be and how exactly it relates to consciousness. In the present paper the nature of the binding problem is clarified by distinguishing between different formulations of the problem. Some of them make no mention of consciousness, whereas others are directly related to aspects of phenomenal experience. Certain formulations of the binding problem are closely connected to the classical philosophical problem of the unity of consciousness and the currently fashionable search for the neural correlates of consciousness. Nonetheless, only a part of the current empirical research on binding is directly relevant to the study of consciousness. The main message of the present paper is that the science of consciousness needs to establish a clear theoretical view of the relation between binding and consciousness and to encourage further empirical work that builds on such a theoretical foundation.

Awareness↗

Derivative and graphical procedures for correction of irrelevant UV spectrophotometric absorption in changeable matrixes.

The application of direct zero-order UV spectrophotometric and graphical or derivative background correction methods to selected pharmaceutical preparations shows their relative advantages in different situations. The assay of the active components in a changeable matrix is a problem with formulations having a limited shelflife. Although the standard three-point correction procedures can provide accurate data, there are practical problems if the irrelevant absorption band is such that only the derivative approach gives enough resolving power for reliable qualitative and quantitative determinations.

Chemistry, Pharmaceutical↗

Numerical simulation of cell motion in tube flow.

A theoretical model is presented for describing the motion of a deformable cell encapsulating a Newtonian fluid and enclosed by an elastic membrane in tube flow. In the mathematical formulation, the interior and exterior hydrodynamics are coupled with the membrane mechanics by means of surface equilibrium equations, and the problem is formulated as a system of integral equations for the interfacial velocity, the disturbance tube-wall traction, and the pressure difference across the two ends to the tube due to the presence of the cell. Numerical solutions obtained by a boundary-element method are presented for flow in a cylindrical tube with a circular cross-section, cytoplasm viscosity equal to the ambient fluid viscosity, and cells positioned sufficiently far from the tube wall so that strong lubrication forces do not arise. In the numerical simulations, cells with spherical, oblate ellipsoidal, and biconcave unstressed shapes enclosed by membranes that obey a neo-Hookean constitutive equation are considered. Spherical cells are found to slowly migrate toward the tube centerline at a rate that depends on the mean flow velocity, whereas oblate and biconcave cells are found to develop parachute and slipper-like shapes, respectively, from axisymmetric and more general initial orientations.

Animals↗

A simulated annealing algorithm for maximum likelihood pedigree reconstruction.

The calculation of maximum likelihood pedigrees for related organisms using genotypic data is considered. The problem is formulated so that the domain of optimization is a permutation space. This is a feature shared by the travelling salesman problem, for which simulated annealing is known to be effective. Using this technique it is found that pedigrees can be reconstructed with minimal error using genotypic data of a quality currently realizable. In complex pedigrees accurate reconstruction can be done with no a priori age or sex information. For smaller numbers of individuals a method of efficiently enumerating all admissible pedigrees of nonzero likelihood is given.

Algorithms↗