Geometric modelling and shape optimisation of pharmaceutical tablets. Geometric modelling and shape optimisation of pharmaceutical tablets using partial differential equations.

Pharmaceutical tablets have been the most dominant form for drug delivery and they need to be strong enough to withstand external stresses due to packaging and loading conditions before use. The strength of the produced tablets, which is characterised by their compressibility and compactibility, is usually deter-mined through a physical prototype. This process is sometimes quite expensive and time consuming. Therefore, simulating this process before hand can over-come this problem. A technique for shape modelling of pharmaceutical tablets based on the use of Partial Differential Equations is presented in this thesis. The volume and the sur-face area of the generated parametric tablet in various shapes have been es-timated numerically. This work also presents an extended formulation of the PDE method to a higher dimensional space by increasing the number of pa-rameters responsible for describing the surface in order to generate a solid tab-let. The shape and size of the generated solid tablets can be changed by ex-ploiting the analytic expressions relating the coefficients associated with the PDE method. The solution of the axisymmetric boundary value problem for a finite cylinder subject to a uniform axial load has been utilised in order to model a displace-ment component of a compressed PDE-based representation of a flat-faced round tablet. The simulation results, which are analysed using the Heckel model, show that the developed model is capable of predicting the compressibility of pharmaceutical powders since it fits the experimental data accurately. The opti-mal design of pharmaceutical tablets with particular volume and maximum strength has been obtained using an automatic design optimisation which is performed by combining the PDE method and a standard method for numerical optimisation

Knowledge, Skills and Attitude of Pre-Service Mathematics Teachers Towards Higher-Order Thinking Skills

This research was aimed to determine the level of knowledge, skills and attitude of pre-service Mathematics teachers in Universiti Pendidikan Sultan Idris (UPSI) towards higher-order thinking skills (HOTS) and whether the elements of HOTS were translated into the teaching courses. The research was also designed to analyze the relationship between the pre-service Mathematics teachers’ exposure to HOTS through the teaching courses and their level of knowledge, skills and attitude towards HOTS. The study utilized a quantitative approach by administration of a survey to a simple random sample of 110 pre-service Mathematics teachers from UPSI. A questionnaire with five different parts was used as the research instrument with a reliability value of .979. The collected data were then analyzed using descriptive and inferential statistics. The descriptive statistics were used to determine the mean scores of the level of knowledge, skills and attitude among the pre-service Mathematics teachers, whereas inferential statistics using Pearson-r correlation was implemented to describe the relationship between the studied variables. The findings demonstrated that the knowledge and skills of pre-service Mathematics teachers towards HOTS were at a moderate level as opposed to their attitude and exposure to HOTS which were found to be at a high level. The data analysis using Pearson correlation illustrated a significant positive relationship with r = .727, r = .757 and r = .667 between the exposure to HOTS through the teaching courses and the level of knowledge, skills and attitude regarding HOTS of pre-service Mathematics teachers at UPSI, respectively. In conclusion, the research here indicates that pre-service Mathematics teachers in general, are positive towards the implementation of HOTS but they are lacking in terms of knowledge and skills. This research is useful in the field of Mathematics education as it can serve as a guidance to further enhance the knowledge, skills and attitudes especially for future Mathematics teachers in implementing HOTS effectively and improving the quality of the teaching program offered by the university indirectly

Method of modelling the compaction behaviour of cylindrical pharmaceutical tablets

NoThe mechanisms involved for compaction of pharmaceutical powders have become a crucial step in the development cycle for robust tablet design with required properties. Compressibility of pharmaceutical materials is measured by a force-displacement relationship which is commonly analysed using a well known method, the Heckel model. This model requires the true density and compacted powder mass value to determine the powder mean yield pressure. In this paper, we present a technique for shape modelling of pharmaceutical tablets based on the use of partial differential equations (PDEs). This work also presents an extended formulation of the PDE method to a higher dimensional space by increasing the number of parameters responsible for describing the surface in order to generate a solid tablet. Furthermore, the volume and the surface area of the parametric cylindrical tablet have been estimated numerically. Finally, the solution of the axisymmetric boundary value problem for a finite cylinder subject to a uniform axial load has been utilised in order to model the displacement components of a compressed PDE-based representation of a tablet. The Heckel plot obtained from the developed model shows that the model is capable of predicting the compaction behaviour of pharmaceutical materials since it fits the experimental data accurately

Criteria for selection of the best student at UPSI based on analytical hierarchy process

Every year, Universiti Pendidikan Sultan Idris (UPSI) needs to choose the best graduating student to be awarded during the convocation ceremony. Normally, the candidate selection in Malaysian public universities is carried out through an evaluation process by the faculty/university, however this process is less efficient. To prevent biases, several criteria need to be considered. Therefore, this research utilizes Analytical Hierarchy Process (AHP) method to identify and prioritize the criteria for selecting the most suitable candidate among undergraduate students in UPSI. There are two phases in this research. Phase 1 involves in developing a questionnaire that contains a list of criteria that an excellent student must have. The questionnaire has been distributed to the experts to check the validity and a group of lecturers have been selected to test the reliability of the questionnaire as well as to shortlist the main criteria to be considered and included in Phase 2 of this research. In Phase 2, an AHP decision matrix is developed, and the candidates will be ranked based on the selected criteria obtained from Phase 1 and their weight values. The candidate with the highest priority value will be chosen as the best student. Five lecturers were involved as a decision maker in Phase 2 of this research. The analysis through AHP found that CGPA greater than 3.75 were the most important criteria and among eight candidates, Candidate 3 is the best student with score of 0.168. The result obtained in this research gives a list of must-have criteria to be an excellent student and also shows that the AHP method is very useful in making a decision that involves many choices. Thus, this method is relevant to be used as a method for selecting an undergraduate best student. The implication of the study is the AHP method can be applied in the educational field since it is consistent and can reduce bias

Effect of starch addition on microstructure and strength of ball clay membrane

The use of starch as pore-forming agent is one of the frequently used methods to produce porous ceramics membrane with controlled microstructure (porosity and pore size) because corn starch are cheap, non- toxic and environmental friendly. A membrane with the mixture 0-35 wt% of corn starch and ball clay were prepared by compaction process and sintered at 1200°C. Thermal analysis has been done to identify the minimum sintering temperature for ball clay. The sintered membranes show the range value of shrinkage is 4.5-22.76% and apparent porosity of 9.14-31.83% depending on the starch content. The pore structures were analyzed by FESEM. The strength of sintered samples was tested by 3-point bending test. The flexural strength reduced from 21-7 MPa. These clay membrane are promising porous ceramic structure for water filtration applications due to their excellent combination physical and mechanical properties

Automatic shape optimisation of pharmaceutical tablets using Partial Differential Equations

NoPharmaceutical tablets have been the most dominant form for drug delivery and most of them are used in the oral administration of drugs. These tablets need to be strong enough so that they can tolerate external stresses. Hence, during the design process, it is important to produce tablets with maximum mechanical strength while conserving the properties of powder form components. The mechanical properties of these tablets are assessed by measuring the tensile strength, which is commonly measured using diametrical or axial compression tests. This work describes the parametric design and optimisation of solid pharmaceutical tablets in cylindrical and spherical shapes, which are obtained using a formulation based on the use of Partial Differential Equations (PDEs) for shape design. The PDE-based formulation is capable of parameterised complex shapes using the information from some boundary curves that describe the shape. It is shown that the optimal design of pharmaceutical tablets with a particular volume and maximum strength can be obtained using an automatic design optimisation which is performed by combining the PDE method and a standard method for numerical optimisation