A case study in multi-scale model reduction: The effect of cell density on catalytic converter performance

Abstract This work aims at a better understanding and the optimal control of the spread of the new severe acute respiratory corona virus 2 (SARS-CoV-2). We first propose a multi-scale model giving insights on the virus population dynamics, the transmission process and the infection mechanism. We consider 10 compartments in the human population in order to take into accounts the effects of different specific mitigation policies. The population of viruses is also partitioned into 10 compartments corresponding respectively to each of the first nine human population compartments and the free viruses available in the environment. We show the global stability of the disease free equilibrium if a given threshold T0 is less or equal to 1 and we provide how to compute the basic reproduction number R0. A convergence index T1 is also defined in order to estimate the speed at which the disease extincts and an upper bound to the time of extinction is given. The existence of the endemic equilibrium is conditional and its description is provided. We evaluate the sensitivity of R0, T0 and T1 to control parameters such as the maximal human density allowed per unit of surface, the rate of disinfection both for people and environment, the mobility probability, the wearing mask probability or efficiency, and the human to human contact rate which results from the previous one. According to a functional cost taking into consideration economic impacts of SARS-CoV-2, we determine and discuss optimal fighting strategies. The study is applied to available data from Cameroon.

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Meta‐replication, sampling bias, and multi‐scale model selection: A case study on snow leopard ( Panthera uncia ) in western China

Ecology and Evolution ◽

10.1002/ece3.6492 ◽

2020 ◽

Vol 10 (14) ◽

pp. 7686-7712

Author(s):

Luciano Atzeni ◽

Samuel A. Cushman ◽

Defeng Bai ◽

Jun Wang ◽

Pengju Chen ◽

...

Keyword(s):

Model Selection ◽

Sampling Bias ◽

Western China ◽

Scale Model ◽

Snow Leopard ◽

Multi Scale ◽

Panthera Uncia

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Hierarchical multi-scale model reduction in the simulation of catalytic converters

Chemical Engineering Science ◽

10.1016/j.ces.2013.01.059 ◽

2013 ◽

Vol 93 ◽

pp. 362-375 ◽

Cited By ~ 15

Author(s):

T. Nien ◽

J.P. Mmbaga ◽

R.E. Hayes ◽

M. Votsmeier

Keyword(s):

Model Reduction ◽

Scale Model ◽

Catalytic Converters ◽

Multi Scale

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An in silico case study of idiopathic dilated cardiomyopathy via a multi-scale model of the cardiovascular system

Computers in Biology and Medicine ◽

10.1016/j.compbiomed.2014.06.013 ◽

2014 ◽

Vol 53 ◽

pp. 141-153 ◽

Cited By ~ 3

Author(s):

Benjamin Bhattacharya-Ghosh ◽

Selim Bozkurt ◽

Marcel C.M. Rutten ◽

Frans N. van de Vosse ◽

Vanessa Díaz-Zuccarini

Keyword(s):

Dilated Cardiomyopathy ◽

Cardiovascular System ◽

In Silico ◽

Idiopathic Dilated Cardiomyopathy ◽

Scale Model ◽

Multi Scale

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Simulation-Aided Crowd Management: A Multi-scale Model for an Urban Case Study

Agent Based Modelling of Urban Systems - Lecture Notes in Computer Science ◽

10.1007/978-3-319-51957-9_9 ◽

2017 ◽

pp. 151-171 ◽

Cited By ~ 1

Author(s):

Luca Crociani ◽

Gregor Lämmel ◽

Giuseppe Vizzari

Keyword(s):

Scale Model ◽

Crowd Management ◽

Multi Scale

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Three-dimensional Reconstruction of Microscopic Image Based on Multi-ST Algorithm

Journal of Imaging Science and Technology ◽

10.2352/j.imagingsci.technol.2020.64.2.020506 ◽

2020 ◽

Vol 64 (2) ◽

pp. 20506-1-20506-7

Author(s):

Min Zhu ◽

Rongfu Zhang ◽

Pei Ma ◽

Xuedian Zhang ◽

Qi Guo

Keyword(s):

3D Reconstruction ◽

Three Dimensional ◽

Scale Model ◽

Microscopic Image ◽

Multi Scale ◽

Gaussian Pyramid ◽

Cost Aggregation ◽

Dimensional Reconstruction ◽

Image Pairs ◽

Accurate Matching

Abstract Three-dimensional (3D) reconstruction is extensively used in microscopic applications. Reducing excessive error points and achieving accurate matching of weak texture regions have been the classical challenges for 3D microscopic vision. A Multi-ST algorithm was proposed to improve matching accuracy. The process is performed in two main stages: scaled microscopic images and regularized cost aggregation. First, microscopic image pairs with different scales were extracted according to the Gaussian pyramid criterion. Second, a novel cost aggregation approach based on the regularized multi-scale model was implemented into all scales to obtain the final cost. To evaluate the performances of the proposed Multi-ST algorithm and compare different algorithms, seven groups of images from the Middlebury dataset and four groups of experimental images obtained by a binocular microscopic system were analyzed. Disparity maps and reconstruction maps generated by the proposed approach contained more information and fewer outliers or artifacts. Furthermore, 3D reconstruction of the plug gauges using the Multi-ST algorithm showed that the error was less than 0.025 mm.

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