Population-Based Mathematical Model of Solid-State Deracemization via Temperature Cycles

Aims/ Objectives: To develop a compartment based mathematical model, fit daily quarantine data from Ministry of Health of Kenya, estimate individuals in latency and infected in general community and predict dynamics of quarantine for the next 90 days.Study Design: Cross-sectional study.Place and Duration of Study: 13thMarch 2020 to 30th June 2020. Methodology: The population based model was developed using status and characteristic of COVID-19 infection. Quarantine data up to 30/6/2020 was fitted using integrating and differentiating theory of odes and numerical differentiation polynomials. Parameter and state estimates was approximated using least square. Simulations were carried out using ode Matlab solver. Daily community estimates of individuals in latency and infected were obtained together with daily estimate of rate of enlisting individual to quarantine center and their proportions were summarized.Results: The results indicated that maximum infection rate was equal 0.892999 recorded on 28/6/2020, average infection rate was 0.019958 and minimum 0.00012 on 26/6/2020.Conclusion: Predictions based on parameters and state averages indicated that the number of individuals in quarantine are expected to rise exponentially up to about 26,855 individuals by 130th day and remain constant up to 190th day.

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Population Based Metaheuristic Algorithm Approach for Analysis of Multi-Item Multi-Period Procurement Lot Sizing Problem

Advances in Operations Research ◽

10.1155/2017/3601217 ◽

2017 ◽

Vol 2017 ◽

pp. 1-18 ◽

Cited By ~ 1

Author(s):

Prasanna Kumar ◽

Mervin Herbert ◽

Srikanth Rao

Keyword(s):

Genetic Algorithm ◽

Mathematical Model ◽

Inventory Management ◽

Lot Sizing ◽

Population Based ◽

Optimization Approach ◽

Time Data ◽

Significant Difference ◽

Lot Sizing Problem ◽

Order Quantities

This research study focuses on the optimization of multi-item multi-period procurement lot sizing problem for inventory management. Mathematical model is developed which considers different practical constraints like storage space and budget. The aim is to find optimum order quantities of the product so that total cost of inventory is minimized. The NP-hard mathematical model is solved by adopting a novel ant colony optimization approach. Due to lack of benchmark method specified in the literature to assess the performance of the above approach, another metaheuristic based program of genetic algorithm is also employed to solve the problem. The parameters of genetic algorithm model are calibrated using Taguchi method of experiments. The performance of both algorithms is compared using ANOVA analysis with the real time data collected from a valve manufacturing company. It is verified that two methods have not shown any significant difference as far as objective function value is considered. But genetic algorithm is far better than the ACO method when compared on the basis of CPU execution time.

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A mathematical model of solid-state thermo-oxidative stabilization of acrylic fibers

Carbon ◽

10.1016/0008-6223(92)90043-v ◽

1992 ◽

Vol 30 (3) ◽

pp. 451-457 ◽

Cited By ~ 11

Author(s):

Dale A. Grove ◽

A.S. Abhiraman

Keyword(s):

Mathematical Model ◽

Solid State ◽

Oxidative Stabilization ◽

Acrylic Fibers

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Anomalies in effectiveness: A mathematical model used in international volleyball (Anomalías de la efectividad: un modelo matemático utilizado en el voleibol internacional)

Retos ◽

10.47197/retos.v0i32.49650 ◽

2017 ◽

pp. 194-198

Author(s):

Santiago Calero Morales ◽

Angie Fernández Lorenzo ◽

Enrique Chávez Cevallos ◽

Pedro A. García

Keyword(s):

Mathematical Model ◽

Statistical Model ◽

Population Based ◽

Population Based Study ◽

Basic Characteristics

Based on the analysis of the mathematical statistical model "Effectiveness", internationally used to process technical-tactical performance in Volleyball, and also to determine its target under the concept "Effectiveness", including its basic characteristics, the paper demonstrates the existence of three mathematical anomalies in the formula. These anomalies are described through examples, including a population-based study that determined that the technical-tactical action Service, Dig and Block have more negative than positive actions, closely related to a fundamental anomaly that causes inaccurate interpretations of reality.Resumen. Partiendo del análisis del modelo matemático de “Efectividad”, utilizado internacionalmente para procesar el rendimiento técnico-táctico del Voleibol, y luego de determinar su objetivo atendiendo al concepto “Efectividad”, así como sus características básicas, en el artículo se demuestra la existencia de tres anomalías en la fórmula. Dichas anomalías son expuestas a través de ejemplos, donde se incluye un estudio poblacional que determina que los fundamentos técnico-tácticos Saque, Defensa de Campo y Bloqueo presentan más acciones negativas que positivas, aspecto estrechamente relacionado con una anomalía fundamental que provoca interpretaciones inexactas de la realidad.

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Mathematical Model of the Agricultural Community

Bulletin of Science and Practice ◽

10.33619/2414-2948/62/08 ◽

2021 ◽

Vol 7 (1) ◽

pp. 83-92

Author(s):

A. Romanova ◽

E. Kolpak ◽

U. Andreeva ◽

S. Polina ◽

A. Shmeleva

Keyword(s):

Mathematical Model ◽

Population Growth ◽

Statistical Approach ◽

17Th Century ◽

Population Based ◽

World Population ◽

Analytical Results ◽

Agricultural Community ◽

The World ◽

Dynamics Of Population

The paper develops a mathematical model of population growth in an agricultural community, covering the 17th century ad. The model takes into account two types of resources that provided life, and the influence of management structures on population growth. The analytical results are compared with the estimated data of historians and economists on the world population. Based on the statistical approach, a model for estimating the possible dynamics of population growth is proposed.

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A Mathematical Model for All Solid-State Lithium Ion Batteries

ECS Meeting Abstracts ◽

10.1149/ma2009-02/8/704 ◽

2009 ◽

Keyword(s):

Mathematical Model ◽

Solid State ◽

Lithium Ion Batteries ◽

Lithium Ion

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Assessment of Polysaccharide and Biomass Production from Three White-Rot Fungi by Solid-State Fermentation Using Wood and Agro-Industrial Residues: A Kinetic Approach

Forests ◽

10.3390/f11101055 ◽

2020 ◽

Vol 11 (10) ◽

pp. 1055

Author(s):

Óscar J. Sánchez ◽

Sandra Montoya

Keyword(s):

Mathematical Model ◽

Solid State ◽

Solid State Fermentation ◽

Lentinula Edodes ◽

Value Added ◽

Solid Substrate ◽

White Rot ◽

Industrial Residues ◽

Polysaccharide Production ◽

Value Added Products

Research Highlights: For the first time, a model was developed and applied for polysaccharide production from Trametes versicolor grown in agro-industrial and woody residues under solid-state fermentation (SSF) conditions. Background and Objectives: Fungal biomass is an important biological resource for biotechnological applications. Basidiomycetes fungi can be grown and developed on lignocellulosic materials such as forestry, wood, and agro-industrial residues in order to produce value-added products like bioactive polysaccharides. The objectives of this study were to evaluate the effects of the C/N ratio and copper concentration on biomass and polysaccharide production during solid state fermentation (SSF), as well as on the consumption of cellulose and hemicellulose, and lignin degradation, and to propose and validate a mathematical model to describe the overall SSF process. Materials and Methods: This research was carried out by growing three Basidiomycetes species (T. versicolor, Lentinula edodes, and Pleurotus ostreatus) on twelve formulations of solid substrates using mixtures of different inexpensive lignocellulosic residues such as oak sawdust, coconut fiber (hairs), coffee husks, and corn bran plus soybean oil, calcium carbonate, and two levels of copper(II) sulfate. Results: The three fungal species grew well on all substrate formulations. The statistical analysis of experimental data showed no significant effects on polysaccharide production, in the range of C/N and copper concentrations evaluated. Taking into account that the best polysaccharide production was obtained with T. versicolor (96.09 mg/g solid substrate), a mathematical model was proposed for this fungus to describe the behavior of the fermentation system from the obtained data of all the resulting combinations to reach the highest polysaccharide production by the fungus. Conclusions: The mathematical model disclosed in this work enabled to describe the growth and development of a higher basidiomycete under solid-state fermentation conditions on lignocellulosic substrates as well as the production of value-added products like polysaccharides with medicinal properties.

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Evolution of Individual Grains in 3d Microstructure Generated by Computational Simulation of Transformations Involving Two Phases

Materials Science Forum ◽

10.4028/www.scientific.net/msf.930.305 ◽

2018 ◽

Vol 930 ◽

pp. 305-310

Author(s):

André Luiz Moraes Alves ◽

Guilherme Dias da Fonseca ◽

Marcos Felipe Braga da Costa ◽

Weslley Luiz da Silva Assis ◽

Paulo Rangel Rios

Keyword(s):

Mathematical Model ◽

Solid State ◽

Phase Transformations ◽

Microstructure Evolution ◽

Initial Phase ◽

Computational Simulation ◽

3D Microstructure ◽

Phase Transform ◽

Two Phases ◽

Individual Grains

In the phase transformations of the solid state, situations can occur in which the initial phase transform forming two or more distinct phases. The exact mathematical model for situations where more than one transformation occurs simultaneously or sequentially was proposed by Rios and Villa. The computational simulation was used to study the evolution and visualization of the possible microstructures that these transformations may present. The causal cone methodology was adopted. The simulations were compared with the analytical model to ensure that they occur as expected. The growth of individual grains of each phase was monitored in 3D microstructure evolution. With this monitoring, was possible to extract useful data able to quantify the simulated 3D microstructure. Quantifying the simulated microstructures increase the possibility of the simulations give to the experimentalist insights about the transformations. In this paper, it is verified that each grain evolves in an individual way, as expected, however their growth is similar.

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