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The four rows of the 4 × 8 matrix correspond to the four different groups of methods: the first row to the five problem structuring methods (1~5); the second row to the eight different conceptual modelling methods (6~13); the third row to the seven mathematical modelling methods (14~20); the fourth row to the eight simulation methods (21~28).
We applied a combination of bioinformatics and mathematical modelling methods to enhance the understanding of TB latency dynamics.
Mathematical modelling methods are used to extrapolate short-term clinical trial evidence, as well as incorporating longer term observational data, to estimate lifetime costs and QALYs [ 16].
Our ability to conduct quality assessments of the included studies may also ultimately be limited due to the nature of mathematical modelling methods.
Twenty-eight methods, ranging from problem structuring methods, conceptual modelling methods, mathematical modelling methods to simulation methods, were identified from a commonly applied method list in the literature and through the iterative discussions between the research team members.
In the end, twenty eight methods were agreed and categorised into four different groups as shown Table 2: five problem structuring methods; eight conceptual modelling methods; seven mathematical modelling methods; eight simulation methods.
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The rest of the paper is structured as follows: description of methodology, mathematical description of modelling methods, calibration and implementation, analysis and discussion of results, and conclusions including future data and research needs.
We have used a mathematical modelling approach based upon methods developed by the authors in previous studies (Jenkins et al, 1996; Sherlaw-Johnson et al, 1999).
These findings provide new clues to collagen tissue herniation for mathematical modelling and model tissue engineering.
We distinguish the following research methods: analytical (mathematical) modelling, empirical (commercial (external) or self-created database, experiments, surveys, case studies, other) and verbal-analytical studies.
In the following simulation exercises, the developed control schemes are implemented on the system mathematical model identified in "Mathematical modelling" section.
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