Using Mathematical Modeling in Training Planning

2006 ◽  
Vol 1 (4) ◽  
pp. 400-405 ◽  
Author(s):  
Thierry Busso ◽  
Luc Thomas
Keyword(s):  
Mathematical Modeling ◽  
Model Parameters ◽  
Model Structure ◽  
Systems Modeling ◽  
Modeling Approach ◽  
Input And Output ◽  
Selection Of

This report aims to discuss the strengths and weaknesses of the application of systems modeling to analyze the effects of training on performance. The simplifications inherent to the modeling approach are outlined to question the relevance of the models to predict athletes’ responses to training. These simplifications include the selection of the variables assigned to the system’s input and output, the specification of model structure, the collection of data to estimate the model parameters, and the use of identified models and parameters to predict responses. Despite the gain in insight to understand the effects of an intensification or reduction of training, the existing models would not be accurate enough to make predictions for a particular athlete in order to monitor his or her training.

scholarly journals Implications of asymptomatic carriers for infectious disease transmission and control

2018 ◽  
Vol 5 (2) ◽  
pp. 172341 ◽  
Author(s):  
Rebecca H. Chisholm ◽  
Patricia T. Campbell ◽  
Yue Wu ◽  
Steven Y. C. Tong ◽  
Jodie McVernon ◽  
...  
Keyword(s):  
Disease Transmission ◽  
Model Parameters ◽  
Model Structure ◽  
Infectious Disease Transmission ◽  
Asymptomatic Carriers ◽  
Effective Interventions ◽  
History Of ◽  
And Control ◽  
Selection Of

For infectious pathogens such as Staphylococcus aureus and Streptococcus pneumoniae , some hosts may carry the pathogen and transmit it to others, yet display no symptoms themselves. These asymptomatic carriers contribute to the spread of disease but go largely undetected and can therefore undermine efforts to control transmission. Understanding the natural history of carriage and its relationship to disease is important for the design of effective interventions to control transmission. Mathematical models of infectious diseases are frequently used to inform decisions about control and should therefore accurately capture the role played by asymptomatic carriers. In practice, incorporating asymptomatic carriers into models is challenging due to the sparsity of direct evidence. This absence of data leads to uncertainty in estimates of model parameters and, more fundamentally, in the selection of an appropriate model structure. To assess the implications of this uncertainty, we systematically reviewed published models of carriage and propose a new model of disease transmission with asymptomatic carriage. Analysis of our model shows how different assumptions about the role of asymptomatic carriers can lead to different conclusions about the transmission and control of disease. Critically, selecting an inappropriate model structure, even when parameters are correctly estimated, may lead to over- or under-estimates of intervention effectiveness. Our results provide a more complete understanding of the role of asymptomatic carriers in transmission and highlight the importance of accurately incorporating carriers into models used to make decisions about disease control.

The Modeling of Engineering Systems for Their Computer-Based Embodiment With Standard Components

2004 ◽  
Vol 127 (3) ◽  
pp. 424-432 ◽  
Author(s):  
B. J. Hicks ◽  
S. J. Culley ◽  
G. Mullineux
Keyword(s):  
Design Solution ◽  
Systems Modeling ◽  
Industrial Case Study ◽  
Modeling Approach ◽  
Physical Attributes ◽  
Computer Based ◽  
And Performance ◽  
Optimum Solution ◽  
Standard Components ◽  
Selection Of

Engineering products and systems consist of varying numbers of components, connecting elements, and structures. The effective design and selection of these is essential for the commercial success of a product. The designer or design team must consider not only physical attributes and performance capabilities but also economic considerations. Their ability to consider these various factors and explore an optimum solution is severely frustrated by the analytically intensive and time-consuming aspects of embodying a system. This embodiment process can become complex where a large number of what can be termed standard components are included. Thus the creation of supportive methods or tools to expedite the embodiment process with these standard components is particularly important. This paper presents a number of techniques that have been generated to enable the consideration of proprietary models of standard components within an overall systems modeling approach. This modeling approach aims to support the designer during the transformation of an idea into a product or system. In particular, this paper deals with the issues concerning the representation of a system as a whole while providing for the specification and/or selection of individual components from a variety of electronic representations. The method for representing a mechanical system is summarized and the general issues of interfacing proprietary electronic representations with a systems modeling tool are discussed. An approach is developed and the process of constructing a system model, selecting electronic representations, and system resolution are described. An industrial case study is used to demonstrate the ability of the approach to embody a system in an integrated and holistic manner. This enables the development of a more refined design solution and consequently more fully informed decisions, based on actual data, to be taken earlier in the design process.

scholarly journals Modeling of German Low Voltage Cables with Ground Return Path

Energies ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1265 ◽  
Author(s):  
Johanna Geis-Schroer ◽  
Sebastian Hubschneider ◽  
Lukas Held ◽  
Frederik Gielnik ◽  
Michael Armbruster ◽  
...  
Keyword(s):  
Low Voltage ◽  
Measurement Data ◽  
Analytical Calculation ◽  
Laboratory Measurement ◽  
Model Parameters ◽  
Calculation Methods ◽  
Modeling Approach ◽  
Measurement Results ◽  
Simulation Results ◽  
Return Path

In this contribution, measurement data of phase, neutral, and ground currents from real low voltage (LV) feeders in Germany is presented and analyzed. The data obtained is used to review and evaluate common modeling approaches for LV systems. An alternative modeling approach for detailed cable and ground modeling, which allows for the consideration of typical German LV earthing conditions and asymmetrical cable design, is proposed. Further, analytical calculation methods for model parameters are described and compared to laboratory measurement results of real LV cables. The models are then evaluated in terms of parameter sensitivity and parameter relevance, focusing on the influence of conventionally performed simplifications, such as neglecting house junction cables, shunt admittances, or temperature dependencies. By comparing measurement data from a real LV feeder to simulation results, the proposed modeling approach is validated.

A mathematical modeling approach to assess biological control of an orange tree disease

2021 ◽  
pp. 107140
Author(s):  
Iulia Martina Bulai ◽  
Ana Cristina Esteves ◽  
Fernanda Lima ◽  
Ezio Venturino
Keyword(s):  
Mathematical Modeling ◽  
Biological Control ◽  
Tree Disease ◽  
Modeling Approach ◽  
Orange Tree

ON THE HYBRID-DRIVEN LINKAGE MECHANISM WITH ONE INPUT CYCLE CORRESPONDING TO TWO OUTPUT CYCLES

2015 ◽  
Vol 39 (3) ◽  
pp. 637-646
Author(s):  
Ren-Chung Soong
Keyword(s):  
Kinematic Analysis ◽  
Angular Speed ◽  
Motion Trajectory ◽  
Dimensional Synthesis ◽  
Reciprocating Motion ◽  
Linkage Mechanism ◽  
Output Link ◽  
Input And Output ◽  
Single Input ◽  
Selection Of

A hybrid-driven five-bar linkage mechanism with one input cycle corresponding to two output cycles is presented. The proposed linkage mechanism is driven by a constant-speed motor and a linear motor, respectively. The output link can generate two same required output cycles during a single input cycle, while the rotational input link rotates with a constant angular speed, and the linear input link follows a reciprocating motion along a specified linear guide fixed on the rotational input link. The configuration, displacement relationship between the input and output links, and conditions of mobility of this proposed mechanism were studied, and a kinematic analysis was performed. The selection of the instantaneous motion trajectory of the linear input link and an optimal dimensional synthesis are also described. An example is provided to verify the feasibility and effectiveness of this methodology.

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