Mathematical Models for Prediction of Temperature Effects on Kinetic Parameters of Microorganisms’ Inactivation: Tools for Model Comparison and Adequacy in Data Fitting

2017 ◽  
Vol 10 (12) ◽  
pp. 2208-2225 ◽  
Author(s):  
Maria M. Gil ◽  
Fátima A. Miller ◽  
Teresa R. S. Brandão ◽  
Cristina L. M. Silva
Keyword(s):  
Mathematical Models ◽  
Kinetic Parameters ◽  
Temperature Effects ◽  
Model Comparison ◽  
Data Fitting

scholarly journals A categorical perspective towards aerodynamic models for aeroelastic analyses of bridge decks

2019 ◽  
Vol 6 (3) ◽  
pp. 181848 ◽  
Author(s):  
I. Kavrakov ◽  
D. Legatiuk ◽  
K. Gürlebeck ◽  
G. Morgenthal
Keyword(s):  
Mathematical Models ◽  
Category Theory ◽  
Structural Engineering ◽  
Model Comparison ◽  
Model Assessment ◽  
Adequate Description ◽  
Categorical Approach ◽  
Abstract Approach ◽  
Huge Variety ◽  
Modelling Approach

Reliable modelling in structural engineering is crucial for the serviceability and safety of structures. A huge variety of aerodynamic models for aeroelastic analyses of bridges poses natural questions on their complexity and thus, quality. Moreover, a direct comparison of aerodynamic models is typically either not possible or senseless, as the models can be based on very different physical assumptions. Therefore, to address the question of principal comparability and complexity of models, a more abstract approach, accounting for the effect of basic physical assumptions, is necessary. This paper presents an application of a recently introduced category theory-based modelling approach to a diverse set of models from bridge aerodynamics. Initially, the categorical approach is extended to allow an adequate description of aerodynamic models. Complexity of the selected aerodynamic models is evaluated, based on which model comparability is established. Finally, the utility of the approach for model comparison and characterization is demonstrated on an illustrative example from bridge aeroelasticity. The outcome of this study is intended to serve as an alternative framework for model comparison and impact future model assessment studies of mathematical models for engineering applications.

scholarly journals Approaches to modelling the shape of nanocrystals

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Christina Boukouvala ◽  
Joshua Daniel ◽  
Emilie Ringe
Keyword(s):  
Mathematical Models ◽  
Kinetic Parameters ◽  
Crystal Shape ◽  
Wulff Construction ◽  
Technical Aspects ◽  
Crystal Shapes ◽  
Shape Models ◽  
Model Crystal ◽  
Software Implementations ◽  
Complex Crystal

AbstractUnlike in the bulk, at the nanoscale shape dictates properties. The imperative to understand and predict nanocrystal shape led to the development, over several decades, of a large number of mathematical models and, later, their software implementations. In this review, the various mathematical approaches used to model crystal shapes are first overviewed, from the century-old Wulff construction to the year-old (2020) approach to describe supported twinned nanocrystals, together with a discussion and disambiguation of the terminology. Then, the multitude of published software implementations of these Wulff-based shape models are described in detail, describing their technical aspects, advantages and limitations. Finally, a discussion of the scientific applications of shape models to either predict shape or use shape to deduce thermodynamic and/or kinetic parameters is offered, followed by a conclusion. This review provides a guide for scientists looking to model crystal shape in a field where ever-increasingly complex crystal shapes and compositions are required to fulfil the exciting promises of nanotechnology.

scholarly journals Application of the Cumulative Kinetic Model in the Comminution of Critical Metal Ores

Metals ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 925 ◽  
Author(s):  
Victor Ciribeni ◽  
Regina Bertero ◽  
Andrea Tello ◽  
Matías Puerta ◽  
Enzo Avellá ◽  
...  
Keyword(s):  
Kinetic Model ◽  
Mathematical Models ◽  
Kinetic Parameters ◽  
Standard Procedure ◽  
Work Index ◽  
Critical Metal ◽  
Simulation Based ◽  
Simplified Procedure ◽  
Rock Analysis

Over the last decades, several reliable mathematical models have been developed for simulating ore comminution processes and determining the Work Index. Since Fred Chester Bond developed the Work Index standard procedure in 1961, numerous attempts have been made to find simpler, faster, and economically more advantageous alternative tests. In this paper, a Bond test simulation based on the cumulative kinetic model (CKM) has been checked on a spreadsheet. The research has been accomplished by conventionally determining the kinetic parameters for some Ag and Au ores and for three pure minerals and one rock that are common constituents of the gangue rock. Analysis of the results obtained allowed to develop a simplified procedure for calculating the kinetic parameters and their application to Work Index determination through simulation.

scholarly journals MEMLET: An Easy-to-Use Tool for Data Fitting and Model Comparison Using Maximum-Likelihood Estimation

2016 ◽  
Vol 111 (2) ◽  
pp. 273-282 ◽  
Author(s):  
Michael S. Woody ◽  
John H. Lewis ◽  
Michael J. Greenberg ◽  
Yale E. Goldman ◽  
E. Michael Ostap
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Model Comparison ◽  
Likelihood Estimation ◽  
Data Fitting

Ambient Temperature Effects on Tire Rolling Loss

1981 ◽  
Vol 54 (5) ◽  
pp. 1113-1123 ◽  
Author(s):  
D. J. Schuring ◽  
G. L. Hall
Keyword(s):  
Mathematical Models ◽  
Ambient Temperature ◽  
Air Temperature ◽  
Heat Generation ◽  
Temperature Effects ◽  
Ambient Air ◽  
Body Part ◽  
Thermal System ◽  
Unit Distance ◽  
Ambient Air Temperature

Abstract The temperature of the ambient air surrounding an operating tire is an important component of the complex thermal system producing rolling loss. Rolling loss is defined as the amount of heat generated by the rolling tire per unit distance. Figure 1 indicates that part of this heat is conducted and stored within the tire body, part is dissipated at the tire surface. The dissipated heat is directly affected by the temperature of the ambient air. Since all heat modes are interactive, the ambient air temperature must therefore influence the heat generated by the tire and, hence, its rolling loss. Presently, relations between ambient air temperature and rolling loss can be established only through measurements; mathematical models of tire heat generation and distribution have not reached a stage where they can be easily applied.

Kinetics Model Comparison of Different Pre-Treated Sweet Sorghum Bagasse Pyrolysis

2014 ◽  
Vol 953-954 ◽  
pp. 230-234
Author(s):  
Dong Yu Chen ◽  
Yan Qing Hu
Keyword(s):  
Activation Energy ◽  
Kinetic Model ◽  
Kinetic Parameters ◽  
Dynamic Process ◽  
Sweet Sorghum ◽  
Model Comparison ◽  
Sweet Sorghum Bagasse ◽  
Biomass Pyrolysis ◽  
Heating Rates ◽  
Sorghum Bagasse

In order to find out the appropriate kinetic model for biomass pyrolysis, pyrolysis experiments of four samples (untreated biomass, HCl-washed, 3%KCl-treated and 10% KCl-treated) of sweet sorghum bagasse were performed by Thermogravimetry (TG) separately at different heating rates. The pyrolysis data was processed by the methods of Ozawa、Coats-Redfern integration and Achar-Brindley-Sharp differential, and the kinetic parameters were calculated. The results showed that the activation energy from deduced mechanism functions is more approach to the Ozawa’s than that from tentative mechanism functions, and the deduced mechanism functions can more realistically reflect the dynamic process four samples of sweet sorghum bagasse pyrolysis.

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