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Modelling with Mathematics and Technologies
2012This chapter seeks to provide an integrating theoretical framework for understanding the somewhat disparate and disconnected literatures on “modelling” and “technology” in mathematics education research. From a cultural–historical activity theory, neo-Vygtoskian perspective, mathematical modelling must be seen as embedded within an indivisible, molar ...
Williams, Julian, Goos, Merrilyn
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Information Processing & Management, 1984
Abstract An object of serious study in the information sciences is printed language, called text. This paper presents numerous examples of mathematical models of text and in so doing exposes some interesting results and problems associated with the linguistic, mathematical, and computational aspects of current research involving text.
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Abstract An object of serious study in the information sciences is printed language, called text. This paper presents numerous examples of mathematical models of text and in so doing exposes some interesting results and problems associated with the linguistic, mathematical, and computational aspects of current research involving text.
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On the mathematical modelling of pain
Neurochemical Research, 1996In this review a case is presented for the use of mathematical modelling in the study of pain. The philosophy of mathematical modelling is outlined and a recommendation is made for the use of modern nonlinear techniques and computational neuroscience in the modelling of pain.
N F, Britton, S M, Skevington
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Electrocochleography by mathematical modelling
International Journal of Bio-Medical Computing, 1976The aim of this work is to critically review some of the classical electrocochleographic methods in accordance with the systems theory: (a) in describing, by means of mathematical models, the different parts of the auditory system concerned in the generation of stimulus-evoked signals; and: (b) in comparing the outputs of these models with the ...
E, Biondi, F, Grandori
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A mathematical model for spirometry
Computers and Biomedical Research, 1987A model originally designed to fit population growth data was investigated to determine whether it could fit spirometric traces as a function of time in normal and ill humans and in normal rats, obtained, respectively, by spirometer and whole-body plethysmography.
E, Massad, A B, Engel, M A, Nicolelis
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A mathematical model of the “Rattleback”
International Journal of Non-Linear Mechanics, 1980Abstract A mathematical model is presented which gives a fairly comprehensive explanation of the strange behavior of a certain type of stone, called a Celt or Rattleback, which if placed on a flat horizontal surface and caused to spin in a particular direction about a vertical axis, will quickly stop spinning, oscillate about a horizontal axis, and ...
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Mathematical Modelling of the Internet
2000Abstract In the current Internet, the rate at which a source sends packets is controlled by TCP, the transmission control protocol of the Internet [8], implemented as software on the computers that arc the source and destination of the data. The general approach is as follows. When a resource within the network becomes overloaded, one
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Mathematical Models for Rabies
2011Rabies virus and its associated host-pathogen population dynamics have proven a remarkable model system for developing mathematical models of infectious disease emergence and spread. Beginning with simple susceptible-infectious-removed (SIR) compartment models of fox rabies emergence and spread across Western Europe, mathematical models have now been ...
Vijay G, Panjeti, Leslie A, Real
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Mathematical Models in Biology
2005Part I. Discrete Process in Biology: 1. The theory of linear difference equations applied to population growth 2. Nonlinear difference equations 3. Applications of nonlinear difference equations to population biology Part II. Continuous Processes and Ordinary Differential Equations: 4. An introduction to continuous models 5.
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A review of mathematical modeling and simulation of controlled‐release fertilizers
Journal of Controlled Release, 2018S. Irfan +5 more
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