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A mathematical analysis of mechanical factors in the forced expiration

The Bulletin of Mathematical Biophysics, 1967
A one compartment, mechanical model of the human lung-thorax system is presented and mathematically analyzed. The equation relating the thoracic muscular stress to the expired air volume is developed and investigated. Assuming that the pressure drop along the airways is a linear function of air flow rate and that the effective lung-thorax compliance is
R E, Collins, R W, Kilpper, D E, Jenkins
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The Forced Autonomy of Mathematics Teachers

Educational Studies in Mathematics, 2004
Current developments in mathematics education require teachers to play a different and more profound role than few years ago.
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Study on mathematical model of cutting force in micromachining

International Journal of Modeling, Simulation, and Scientific Computing, 2015
With the development of micromachining technology, it is very important to study the mechanism of micromachining, determine the micromachining parameters and ensure the products’ quality during the micromachining process. Combined with the micro-mechanism between tool and workpiece during micromachining process, the sources of the micro-cutting force ...
Zhen Yu, Quanjie Gao, Ding-Fang Chen
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A mathematical model that predicts skeletal muscle force

IEEE Transactions on Biomedical Engineering, 1997
This study demonstrates the validity of a mathematical model that predicts the force generated by rat skeletal muscles during brief subtetanic and tetanic isometric contractions. The model consists of three coupled differential equations (ODE's). The first two equations represent the calcium dynamics and the third equation represents force dynamics ...
Anthony S. Wexler   +2 more
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Aesthetics as a Liberating Force in Mathematics Education?

ZDM, 2008
This article investigates different meanings associated with contemporary scholarship on the aesthetic dimension of inquiry and experience, and uses them to suggest possibilities for challenging widely held beliefs about the elitist and/or frivolous nature of aesthetic concerns in mathematics education.
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Mathematical Modeling and Analysis of Force Induced Bone Growth

2006 International Conference of the IEEE Engineering in Medicine and Biology Society, 2006
Bone is a dynamic living tissue that undergoes continuous adaptation of its mass and structure in response to mechanical and biological environment demands. Studies of bone adaptation have focused on metabolic or mechanical stimulus, but mathematical models of bone adaptation considering both, are not available by now.
Solvey Maldonado   +3 more
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A mathematical model for the force and energetics in competitive running

Journal of Mathematical Biology, 1993
A simple mathematical model for competitive running is developed. This model contains the force and energy reserves as key variables and it described their relationship and dynamics. It is made up of three submodels for the biomechanics of running the energetics and the optimization.
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The art of estimation and the mathematization of force in Leibniz

Studies in History and Philosophy of Science
From 1686 onward, Leibniz is engaged in a dispute with Cartesian physicists on the correct expression for the quantity of force in moving bodies. In the 1690s, he puts forth an argument for his own expression that is allegedly based on the science of quantity in general (or the art of estimation). Leibniz states that the latter requires the quantity of
Jeffrey Elawani, Filippo Costantini
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A mathematical estimation of the physical forces driving podocyte detachment

Kidney International, 2021
Loss of podocytes, possibly through the detachment of viable cells, is a hallmark of progressive glomerular disease. Podocytes are exposed to considerable physical forces due to pressure and flow resulting in circumferential wall stress and tangential shear stress exerted on the podocyte cell body, which have been proposed to contribute to podocyte ...
Linus, Butt   +5 more
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A Study of Grinding Force Mathematical Model

CIRP Annals, 1980
Summary Grinding forces are composed of chip formation forces and friction forces. Based upon this concept, we have developed a new grinding force model, which is composed of two terms, corresponding to chip formation forces and friction forces respectively.
Li Lichun, Fu Jizai, J. Peklenik
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