Mathematical models for the simulation of thermal regenerators: A state-of-the-art review

2016 ◽  
Vol 58 ◽  
pp. 462-476 ◽  
Author(s):  
S.M. Sadrameli
Keyword(s):  
Mathematical Models ◽  
State Of The Art

Method to Model Performance Relationships and Pay Schedules

2000 ◽  
Vol 1712 (1) ◽  
pp. 117-124 ◽  
Author(s):  
Richard M. Weed
Keyword(s):  
Mathematical Models ◽  
Survey Data ◽  
Mathematical Knowledge ◽  
State Of The Art ◽  
Analytical Data ◽  
Model Performance ◽  
Performance Models ◽  
Construction Quality ◽  
Ongoing Research ◽  
Construction Specifications

Performance-related specifications require mathematical models to link construction quality to expected life and, ultimately, to value expressed in the form of pay schedules. Although ongoing research efforts continue to advance the state of the art, the type of data needed to develop accurate and precise models may not become available for several years. In the interim, present engineering and mathematical knowledge can be used to create rational and practical models that will perform effectively until better models are available. Several examples are presented to illustrate how both analytical data and survey data can be used to develop realistic performance models and pay schedules useful for statistical construction specifications. The issue of the proper method that can be used to combine the effects of multiple deficiencies is also addressed.

A Quantum Approach Using Stochastic Simulation and Schrodinger with Multi-Layer Learning for Finding Features from Dataset

2020 ◽  
Vol 17 (6) ◽  
pp. 2514-2518
Author(s):  
Kapil Prashar ◽  
Rajneesh Talwar ◽  
Chander Kant
Keyword(s):  
Quantum Computing ◽  
Mathematical Models ◽  
Stochastic Simulation ◽  
Statistical Models ◽  
State Of The Art ◽  
Research Work ◽  
Current Approach ◽  
Suggested Model ◽  
Quantum Approach ◽  
Multiple State

Quantum computing relies on the quantity of the mechanical phenomenon, such as interference and overlap. It aims to solve issues which are not realistically possible on computers. The research work introduces the new quantum-based model from a provided dataset for forecasting the infection. This technique is beneficial in describing the association among different statistical models. Our study has resulted in highest precision than ever applied technique, which was differentiated and calculated from the defined dataset and results. Such suggested strategies were evaluated and reviewed against multiple state-of-the-art methods to demonstrate efficacy. The qualitative and graphical results are provided for the verification of the current approach. The suggested model is more robust than existing mathematical models due to the findings.

The usefulness of post-genomics tools for characterization of the amine cross-talk in mammalian cells

2007 ◽  
Vol 35 (2) ◽  
pp. 381-385 ◽  
Author(s):  
F. Sánchez-Jiménez ◽  
R. Montañez ◽  
F. Correa-Fiz ◽  
P. Chaves ◽  
C. Rodríguez-Caso ◽  
...  
Keyword(s):  
Systems Biology ◽  
Mathematical Models ◽  
Mammalian Cells ◽  
State Of The Art ◽  
Molecular Approaches ◽  
Amine Metabolism ◽  
Genomics Tools ◽  
Stored Information

Evidence is growing in favour of a relationship between cancer and chronic inflammation, and particularly of the role of a polyamine and histamine metabolic interplay involved in these physiopathological problems, which are indeed highly complex biological systems. Decodification of the complex inter- and intra-cellular signalling mechanisms that control these effects is not an easy task, which must be helped by systems biology technologies, including new tools for location and integration of database-stored information and predictive mathematical models, as well as functional genomics and other experimental molecular approaches necessary for hypothesis validation. We review the state of the art and present our latest efforts in this area, focused on the amine metabolism field.

scholarly journals Dermic diffusion and stratum corneum: A state of the art review of mathematical models

2014 ◽  
Vol 177 ◽  
pp. 74-83 ◽  
Author(s):  
Ana Couto ◽  
Rúben Fernandes ◽  
M. Natália S. Cordeiro ◽  
Sara S. Reis ◽  
Rogério T. Ribeiro ◽  
...  
Keyword(s):  
Mathematical Models ◽  
Stratum Corneum ◽  
State Of The Art

A physiome standards-based model publication paradigm

2009 ◽  
Vol 367 (1895) ◽  
pp. 1823-1844 ◽  
Author(s):  
David P. Nickerson ◽  
Martin L. Buist
Keyword(s):  
Mathematical Models ◽  
State Of The Art ◽  
Web Browsers ◽  
New Paradigm ◽  
Broadband Internet ◽  
Cellular Electrophysiology ◽  
Current State ◽  
Recent Developments ◽  
Systems Biology Markup Language ◽  
Model Publication

In this era of widespread broadband Internet penetration and powerful Web browsers on most desktops, a shift in the publication paradigm for physiome-style models is envisaged. No longer will model authors simply submit an essentially textural description of the development and behaviour of their model. Rather, they will submit a complete working implementation of the model encoded and annotated according to the various standards adopted by the physiome project, accompanied by a traditional human-readable summary of the key scientific goals and outcomes of the work. While the final published, peer-reviewed article will look little different to the reader, in this new paradigm, both reviewers and readers will be able to interact with, use and extend the models in ways that are not currently possible. Here, we review recent developments that are laying the foundations for this new model publication paradigm. Initial developments have focused on the publication of mathematical models of cellular electrophysiology, using technology based on a CellML- or Systems Biology Markup Language (SBML)-encoded implementation of the mathematical models. Here, we review the current state of the art and what needs to be done before such a model publication becomes commonplace.

scholarly journals A Review Predictive Mathematical Modeling of Alkali-Silica Reaction in Concrete: evolution, current understanding and the knowledge gaps

2021 ◽  
Vol 10 (11) ◽  
pp. e449101119810
Author(s):  
Dhiego Henrique Ferreira Revoredo ◽  
Ana Cecília Vieira Nobrega ◽  
Arnaldo Manoel Pereira Carneiro ◽  
João Emanuell Araújo Marciano
Keyword(s):  
Mathematical Modeling ◽  
Literature Review ◽  
Mathematical Models ◽  
State Of The Art ◽  
Meta Analysis ◽  
Methodological Approach ◽  
Phenomenological Approach ◽  
Alkali Silica Reaction ◽  
Long Time ◽  
Concrete Degradation

Predictive mathematical models have been proposed in alkali-silica reaction (ASR). Predicting concrete degradation and its effects on mechanical properties is of interest given the long time until degradation becomes critical for intervention and recovery, and difficult structural access for predictive and corrective monitoring and treatment. The present paper presents a general overview of the evolution of the aforementioned predictive mathematical models, interrelating them to the maturation of the phenomenological state of the art associated with ASR.  For this purpose, a systematic literature review was used, followed by bibliometric analysis and meta-analysis. In this study, 104 articles from 1974 to 2020 were selected, of which 31 articles were reviewed on the topic of mathematical modeling of ASR. The results of the method indicated the importance of the methodological approach of literature review to provide a comprehensive and chronological view of the evolution of ASR consolidated in the literature. It was found that the mathematical models have evolved considering the phenomenological approach of ASR.

scholarly journals Digital Twins for Tissue Culture Techniques—Concepts, Expectations, and State of the Art

Processes ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 447
Author(s):  
Johannes Möller ◽  
Ralf Pörtner
Keyword(s):  
Tissue Culture ◽  
Mathematical Models ◽  
Product Life Cycle ◽  
State Of The Art ◽  
Three Dimensional ◽  
Culture Techniques ◽  
Digital Twins ◽  
On Chip ◽  
Tissue Culture Techniques

Techniques to provide in vitro tissue culture have undergone significant changes during the last decades, and current applications involve interactions of cells and organoids, three-dimensional cell co-cultures, and organ/body-on-chip tools. Efficient computer-aided and mathematical model-based methods are required for efficient and knowledge-driven characterization, optimization, and routine manufacturing of tissue culture systems. As an alternative to purely experimental-driven research, the usage of comprehensive mathematical models as a virtual in silico representation of the tissue culture, namely a digital twin, can be advantageous. Digital twins include the mechanistic of the biological system in the form of diverse mathematical models, which describe the interaction between tissue culture techniques and cell growth, metabolism, and the quality of the tissue. In this review, current concepts, expectations, and the state of the art of digital twins for tissue culture concepts will be highlighted. In general, DT’s can be applied along the full process chain and along the product life cycle. Due to the complexity, the focus of this review will be especially on the design, characterization, and operation of the tissue culture techniques.

scholarly journals State of the Art Study of Influence of Bed Roughness and Alluvial Cover on Bedrock Channels and Comparisons of Existing Models with Laboratory Scale Experiments

2020 ◽  
Author(s):  
Jagriti Mishra ◽  
Takuya Inoue
Keyword(s):  
Mathematical Models ◽  
State Of The Art ◽  
Theoretical Models ◽  
Sediment Supply ◽  
Laboratory Scale ◽  
Experimental Results ◽  
Bed Topography ◽  
Bed Roughness ◽  
The Relationship ◽  
Bedrock Channels

Abstract. Several studies have implied towards the importance of bed roughness on alluvial cover, besides, several mathematical models have also been introduced to mimic the effect bed roughness may project on alluvial cover. Here, we provide a state of the art review of research exploring the relationship between alluvial cover, sediment supply and bed topography, thereby, describing various mathematical models used to analyse deposition of alluvium. In the interest of analysing the efficiency of various available mathematical models, we performed laboratory-scale experiments and compared the results with various models. Our experiments show that alluvial cover is not merely governed by increasing sediment supply, and, bed topography is an important controlling factor of alluvial cover. Testing experimental results with various theoretical models suggest a fit of certain models for a particular bed topography and inefficiency in predicting higher roughness topography. Three models efficiently predict the experimental observations, albeit their limitations which we discuss here in detail.

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