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The Coordination of Arm Movements: An Experimentally Confirmed Mathematical Model

by Tamar Flash, Neville Hogans - Journal of neuroscience , 1985
"... This paper presents studies of the coordination of volun-tary human arm movements. A mathematical model is for-mulated which is shown to predict both the qualitative fea-tures and the quantitative details observed experimentally in planar, multijoint arm movements. Coordination is modeled mathematic ..."
Abstract - Cited by 688 (18 self) - Add to MetaCart
This paper presents studies of the coordination of volun-tary human arm movements. A mathematical model is for-mulated which is shown to predict both the qualitative fea-tures and the quantitative details observed experimentally in planar, multijoint arm movements. Coordination is modeled

A new mathematical model for relative quantification in real-time RT-PCR. Nucleic Acids Res

by Michaelw. Pfaffl
"... Use of the real-time polymerase chain reaction (PCR) to amplify cDNA products reverse transcribed from mRNA is on the way to becoming a routine tool in molecular biology to study low abundance gene expression. Real-time PCR is easy to perform, provides the necessary accuracy and produces reliable as ..."
Abstract - Cited by 1088 (4 self) - Add to MetaCart
as well as rapid quantification results. But accurate quantification of nucleic acids requires a reproducible methodology and an adequate mathematical model for data analysis. This study enters into the particular topics of the relative quantification in real-time RT–PCR of a target gene transcript

Mathematical modelling of the Internet

by Frank Kelly
"... Modern communication networks are able to respond to randomly uctuating demands and failures by adapting rates, by rerouting traffic and by reallocating resources. They are able to do this so well that, in many respects, large-scale networks appear as coherent, almost intelligent, organisms. The des ..."
Abstract - Cited by 191 (0 self) - Add to MetaCart
. The design and control of such networks present challenges of a mathematical, engineering and economic nature. This paper outlines how mathematical models are being used to address current issues concerning the stability and fairness of rate control algorithms for the Internet.

A theory of communicating sequential processes

by S. D. Brookes, C. A. R. Hoare, A. W. Roscoe , 1984
"... A mathematical model for communicating sequential processes is given, and a number of its interesting and useful properties are stated and proved. The possibilities of nondetermimsm are fully taken into account. ..."
Abstract - Cited by 4185 (17 self) - Add to MetaCart
A mathematical model for communicating sequential processes is given, and a number of its interesting and useful properties are stated and proved. The possibilities of nondetermimsm are fully taken into account.

The mathematics of infectious diseases

by Herbert W. Hethcote - SIAM Review , 2000
"... Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number R0, the contact number σ, and the replacement number R are reviewed for the classic SIR epidemic a ..."
Abstract - Cited by 490 (4 self) - Add to MetaCart
Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number R0, the contact number σ, and the replacement number R are reviewed for the classic SIR epidemic

Mathematical Models for Local Nontexture Inpaintings

by Tony F. Chan, Jianhong Shen - SIAM J. Appl. Math , 2002
"... Inspired by the recent work of Bertalmio et al. on digital inpaintings [SIGGRAPH 2000], we develop general mathematical models for local inpaintings of nontexture images. On smooth regions, inpaintings are connected to the harmonic and biharmonic extensions, and inpainting orders are analyzed. For i ..."
Abstract - Cited by 214 (29 self) - Add to MetaCart
Inspired by the recent work of Bertalmio et al. on digital inpaintings [SIGGRAPH 2000], we develop general mathematical models for local inpaintings of nontexture images. On smooth regions, inpaintings are connected to the harmonic and biharmonic extensions, and inpainting orders are analyzed

Elastically deformable models

by Demetri Terzopoulos - Computer Graphics , 1987
"... The goal of visual modeling research is to develop mathematical models and associated algorithms for the analysis and synthesis of visual information. Image analysis and synthesis characterize the domains of computer vision and computer graphics, respectively. For nearly three decades, the vision an ..."
Abstract - Cited by 883 (20 self) - Add to MetaCart
The goal of visual modeling research is to develop mathematical models and associated algorithms for the analysis and synthesis of visual information. Image analysis and synthesis characterize the domains of computer vision and computer graphics, respectively. For nearly three decades, the vision

The genetical evolution of social behaviour

by W D Hamilton - I. J. Theor. Biol. , 1964
"... A genetical mathematical model is described which allows for interactions between relatives on one another's fitness. Making use of Wright's Coefficient of Relationship as the measure of the proportion of replica genes in a relative, a quantity is found which incorporates the maximizing p ..."
Abstract - Cited by 932 (2 self) - Add to MetaCart
A genetical mathematical model is described which allows for interactions between relatives on one another's fitness. Making use of Wright's Coefficient of Relationship as the measure of the proportion of replica genes in a relative, a quantity is found which incorporates the maximizing

A mathematical model of the finding of usability problems

by Jakob Nielsen, Thomas K. L - Proceedings of ACM INTERCHI'93 Conference , 1993
"... Electronic business card for Nielsen can be retrieved by sending any ..."
Abstract - Cited by 251 (2 self) - Add to MetaCart
Electronic business card for Nielsen can be retrieved by sending any

A theory of memory retrieval

by Roger Ratcliff - PSYCHOL. REV , 1978
"... A theory of memory retrieval is developed and is shown to apply over a range of experimental paradigms. Access to memory traces is viewed in terms of a resonance metaphor. The probe item evokes the search set on the basis of probe-memory item relatedness, just as a ringing tuning fork evokes sympath ..."
Abstract - Cited by 769 (83 self) - Add to MetaCart
comparisons. The mathematical model produces predictions about accuracy, mean reaction time, error latency, and reaction time distributions that are in good accord with experimental data. The theory is applied to four item recognition paradigms (Sternberg, prememorized list, study-test, and continuous
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