A Geometric Multiscale modelling approach to the analysis of MSR plant dynamics

2015 ◽  
Vol 83 ◽  
pp. 82-98 ◽  
Author(s):  
Matteo Zanetti ◽  
Antonio Cammi ◽  
Carlo Fiorina ◽  
Lelio Luzzi
Keyword(s):  
Multiscale Modelling ◽  
Plant Dynamics ◽  
Modelling Approach

A learning-based multiscale modelling approach to real-time serial manipulator kinematics simulation

2020 ◽  
Vol 390 ◽  
pp. 280-293
Author(s):  
Jiaxin Zhao ◽  
Hongwei Wang ◽  
Wenzheng Liu ◽  
Heming Zhang
Keyword(s):  
Real Time ◽  
Multiscale Modelling ◽  
Kinematics Simulation ◽  
Modelling Approach

scholarly journals A systematic approach to the scale separation problem in the development of multiscale models

PLoS ONE ◽  
2021 ◽  
Vol 16 (5) ◽  
pp. e0251297
Author(s):  
Pinaki Bhattacharya ◽  
Qiao Li ◽  
Damien Lacroix ◽  
Visakan Kadirkamanathan ◽  
Marco Viceconti
Keyword(s):  
Fundamental Problem ◽  
Multiscale Modelling ◽  
Time And Space ◽  
Scale Separation ◽  
Multiscale Problems ◽  
Modelling Methodology ◽  
The Many ◽  
Definition Of ◽  
Quantities Of Interest ◽  
Modelling Approach

Throughout engineering there are problems where it is required to predict a quantity based on the measurement of another, but where the two quantities possess characteristic variations over vastly different ranges of time and space. Among the many challenges posed by such ‘multiscale’ problems, that of defining a ‘scale’ remains poorly addressed. This fundamental problem has led to much confusion in the field of biomedical engineering in particular. The present study proposes a definition of scale based on measurement limitations of existing instruments, available computational power, and on the ranges of time and space over which quantities of interest vary characteristically. The definition is used to construct a multiscale modelling methodology from start to finish, beginning with a description of the system (portion of reality of interest) and ending with an algorithmic orchestration of mathematical models at different scales within the system. The methodology is illustrated for a specific but well-researched problem. The concept of scale and the multiscale modelling approach introduced are shown to be easily adaptable to other closely related problems. Although out of the scope of this paper, we believe that the proposed methodology can be applied widely throughout engineering.

scholarly journals Polarization and Movement of Keratocytes: A Multiscale Modelling Approach

2006 ◽  
Vol 68 (5) ◽  
pp. 1169-1211 ◽  
Author(s):  
Athanasius F. M. Marée ◽  
Alexandra Jilkine ◽  
Adriana Dawes ◽  
Verônica A. Grieneisen ◽  
Leah Edelstein-Keshet
Keyword(s):  
Multiscale Modelling ◽  
Modelling Approach
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