# Mathematical Modelling

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**Mathematical Modelling**A model subglacial drainage system, coupled to an ice-dammed reservoir that receives a time-varying meltwater input, is described and analysed. In numerical experiments an ice-marginal lake drains through a subglacial channel, producing... more

Based on the our October paper "A Generalized Viral Infection Mathematical Model Derived from Covid-19 Simulation", at a conceptual level higher than the classic SIR/SEIR model, we have established the 6 laws of infection regarding the... more

In the paper there is presented a dynamic model of the articulated shaft. The model is used for the analysis of critical angular velocities. This model can be rewritten into a computer program to handle rotating parts of gear pumps. Using... more

DLP is a data security technology that detects and prevents data breach incidents by monitoring data in-use, in-motion and at-rest. It has been widely applied for regulatory compliances, data privacy and intellectual property... more

There is an ebook version for this book. If you wish to use this book for your courses, please feel free to contact me for a possible copy.

We believe that one of the most important recent findings in the study of the long-term dynamic social processes was the discovery of the political-demographic cycles as a basic feature of complex agrarian systems' dynamics.

Identification of flow pattern during the simultaneous flow of two immiscible liquids requires knowledge of the flow rate of each fluid as well as knowledge of other physical parameters like conduit inclination, pipe material, pipe... more

In this paper, a mathematical model for the transmission dynamics of lymphatic filariasis is presented by incorporating the infected without symptom, the infected with symptom and treatment compartments. The model is shown to have two... more

Energy consumption model of peeling process is required to optimise main influenced factors as well as to limit peeling waste and consumed energy. Mechanical peeling process using an abrasive-cutter brush which applies both abrasive a nd... more

The paper reports on the relationship between a group of pre-service mathematics teachers’ working memory and number sense. South Africa’s murky performance in the Trends in International Mathematics and Science Study (TIMSS) since 1995... more

The low-weight newborns and especially the premature infants have difficulty in maintaining their temperature in the range considered to be normal. Several studies revealed the importance of thermal environment and moisture to increase... more

This paper presents the technique of constructing models of behavior algorithms of radio electronic complex system using new scheme of paths method. This technique allows estimation of the efficiency indexes of RECS taking into account... more

In this paper, we formulate a broad-based mathematical model for drug absorption in the intestine based on the peristaltic motion of the drug-carrying intestinal fluid which is approximately sinusoidal. Using the background of Fick's laws... more

Based upon previous discussions on the structure of compact stars geared towards undergraduate physics students, a real experiment involving two upper-level undergraduate physics students, a beginning physics graduate, and two advanced... more

The fundamental holographic principle is first proposed, then demonstrated in its validity and viability through a thought experiment and then finally derived. The Heisenberg uncertainty relations are shown to follow from this fundamental... more

The focus of this study was to estimate the economic impact of Romblon State University on the economy of the province of Romblon in terms of the university's direct spending activity. The researchers realized that determining the... more

In this project, we extend the work already done in [1.] to include a generalised mathematical framework for studying and explaining the dynamics and behavior of crowds of humans. The method is both analytical and numerical. The numerical... more

Paper presents mathematical model of the human ear. The method of model forming is presented, particular model elements are introduced (mainly in the form of Laplace operator transmittances) and discussed, implementation of the model is... more

In this paper we continue the development of our Python-based package for the solution of partial differential equations using spatial discretization techniques such as the finite element method (FEM), but we take it to a higher level... more

The rollout of driverless cars (DC) may reshape human mobility drastically. Urban roads may face a surge of car traffic if DC technologies continue to enhance the use of private cars. Shared DC use can remedy this by reducing the number... more

The purpose of this paper is designing blood supply chain network in disaster situation considering blood groups and expiration dates. In the proposed network, there are blood collection centers, labs for quality assurance and producing... more

This paper presents current knowledge about the structure and function of the lymphatic system. Mathematical models of lymph flow in the single lymphangion, the series of lymphangions, the lymph nodes, and the whole lymphatic system are... more

The article summarizes the arguments and counterarguments within the scientific discussion on the quantification of various spheres of enterprise activity based on their system representation. The main purpose of the study is to improve... more

In this work, we introduce a new generalization of the Inverted Weibull distribution called the alpha power Extended Inverted Weibull distribution using the alpha power transformation method. This approach adds an extra parameter to the... more

INTISARI Dalam tesis ini dianalisa mengenai model matematika peningkatan enzim hati akibat mono-infeksi HIV. Model ini dibangun atas dasar asumsi infeksi HIV hanya menyebabkan replikasi virus terjadi hanya pada sel CD4+, dan tidak terjadi... more

Forest management planning relies heavily on mathematical models that involve time. Concerns about climate change and ecosystem services have highlighted the limitations of traditional growth and yield prediction tools. Modern dynamical... more

The drainage of ice-dammed lakes produces floods that can pose hazards, waste water resources and modulate ice flow. In this thesis I investigate several aspects of ice-dammed lake drainage through the development and analysis of... more