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Classic and contemporary approaches to modeling biochemical reactions

W. W. Chen, M. Niepel, P. K. Sorger
2010 Genes & Development  
Networks of coupled ordinary differential equations (ODEs) are the natural language for describing enzyme kinetics in a mass action approximation.  ...  We discuss how parameters in the Michaelis-Menten approximation and in the underlying ODE network  ...  Acknowledgments This work was supported by National Institute of Health (NIH grants) GM68762 and CA112967.  ... 
doi:10.1101/gad.1945410 pmid:20810646 pmcid:PMC2932968 fatcat:d6nhsqygsrgpxok26lyq2g5xry

On the periodicity theorem for complex vector bundles

Michael Atiyah, Raoul Bott
1964 Acta Mathematica  
Alternatively we can consider the linear system of ordinary differential equations The space of solutions V p consists of exponential polynominals and decomposes as Vp= V;EBV;, where V; involves exp(iAz  ...  'I' E 2 • Elementary properties of this construction are the following  ... 
doi:10.1007/bf02391772 fatcat:rzrzvdw4f5dgrat6lunnnmluny

On the Periodicity Theorem for Complex Vector Bundles [chapter]

Michael Atiyah, Raoul Bott
1994 Raoul Bott Collected Papers  
Alternatively we can consider the linear system of ordinary differential equations The space of solutions V p consists of exponential polynominals and decomposes as Vp= V;EBV;, where V; involves exp(iAz  ...  'I' E 2 • Elementary properties of this construction are the following  ... 
doi:10.1007/978-1-4612-5367-9_3 fatcat:lmhqix72tbbpvhtctgoxmelluy

Renormalizable group field theory beyond melonic diagrams: An example in rank four

Sylvain Carrozza, Vincent Lahoche, Daniele Oriti
2017 Physical Review D  
This is possible because the appropriate notion of canonical dimension of the GFT coupling constants takes into account the detailed combinatorial structure of the individual interaction terms.  ...  The respective scaling of different interactions in the vicinity of the Gaussian fixed point is determined by the renormalization group itself.  ...  of Research, Innovation and Science.  ... 
doi:10.1103/physrevd.96.066007 fatcat:3nynyeu4lrgqhfklgdnasl6qy4

Quantum information processing with superconducting circuits: a review

G Wendin
2017 Reports on progress in physics (Print)  
Therefore, the time is ripe for describing some of the recent development of superconducting devices, systems and applications.  ...  Consequently, the centre of interest is the practical applications of QIP, such as computation and simulation in Physics and Chemistry.  ...  Acknowledgments This work has been supported by the European Commission under contract ICT FP7 600927 ScaleQIT, and by Chalmers University of Technology.  ... 
doi:10.1088/1361-6633/aa7e1a pmid:28682303 fatcat:jqxvbpeptzakjobftfz3vrgtze

Abstracts of papers

1930 Bulletin of the American Mathematical Society  
Latshaw: Polynominal approximation by the method of least squares. , vol. 13 (1894). A second method, in three dimensions, employs co variant s of transformations of line-coordinates. 45.  ...  This paper presents several theorems pertaining to the probability that certain functions lie within certain intervals.  ... 
doi:10.1090/s0002-9904-1930-04895-8 fatcat:dygavt3ixzhmhndwcvxky5m3mq

a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations

Stéphane Clain, Raphaël Loubère, Gaspar J. Machado
2017 Advances in Computational Mathematics  
Such a procedure demands the determination of a chain detector to discriminate between troubled and valid cells, a cascade of polynomial degrees to be successively tested when oscillations are detected  ...  , and a parachute scheme corresponding to the last, viscous, and robust scheme of the cascade.  ...  The research was also supported by the Research Center CMAT of the University of Minho, Portugal, with the Portuguese Funds from the Fundação para a Ciência e a Tecnologia, through the Project PEstOE/MAT  ... 
doi:10.1007/s10444-017-9556-6 fatcat:ycni35hnfjccdb3n23fwvp2g4u

Notation as a tool of thought

Kenneth E. Iverson
1980 Communications of the ACM  
Falkoff for suggestions which greatly improved the organization of the paper, and to Professor Donald McIntyre for suggestions arising from his reading of a draft.  ...  Consider, for example, the crystal structure illustrated by Figure 1 , in which successive layers of atoms lie not directly on top of one another, but lie "close-packed" between those below them.  ...  Such treatments of a number of topics in APL are available, including: high school algebra [6] , elementary analysis [5] , calculus, [!  ... 
doi:10.1145/358896.358899 fatcat:pwf4axz5dfdyjndrk674xh4m6u

[Back cover]

1962 IRE Transactions on Antennas and Propagation  
Microwave Power Density M e a s u r e ment Utilizing the DC Glow Discharge in Neon-Sabil Farhat, The 3foore Sclwol of Electrical Engrg., University of Pennsylcania, Ph.iladelpkia.  ...  -For a number of +ears there has been an increasing demand for a simple microwave power density meter * This work \vas sponsored by the Rome Air Dev.  ...  Automatic received Doppler shift data in the center region of a satellite passage are compared in a least square approximation process with the best fitting cubic polynominal.  ... 
doi:10.1109/tap.1962.1137902 fatcat:c7f6kvxiszhtnbf2tfyd3xhj6i

Lectures on Mathematical Cosmology [article]

H.-J. Schmidt
2004 arXiv   pre-print
We present mathematical details of several cosmological models, whereby the topological and the geometrical background will be emphasized.  ...  another necessary condition for a solution to lie within a neighbourhood of Minkowski spacetime.  ...  changes; see [189] and [210] for more details about these Lie algebras.  ... 
arXiv:gr-qc/0407095v1 fatcat:vwo3xcq73jfgrgqupvewcrq7w4

Improved determination of the β-ν_e angular correlation coefficient a in free neutron decay with the aSPECT spectrometer [article]

M. Beck, F. Ayala Guardia, S. Baeßler, M. Borg, F. Glück, W. Heil, J. Kahlenberg, M. Klopf, G. Konrad, R. Maisonobe, R. Muñoz Horta, C. Schmidt (+6 others)
2020 arXiv   pre-print
The sources of systematic errors are considered and included in the final result. We obtain a = -0.10430(84) which is the most precise measurement of the neutron a coefficient to date.  ...  From this, the ratio of axial-vector to vector coupling constants is derived giving |λ| = 1.2677(28).  ...  Metropolis-Hastings algorithm [110, 111] in combination with an exponential sampler of the likelihood function.  ... 
arXiv:1908.04785v2 fatcat:jittxdcjtne4xoybrnekwnzewm

Exploring new horizons of the Gribov problem in Yang-Mills theories [article]

A. D. Pereira
2016 arXiv   pre-print
Notably, a satisfactory description of the confinement of gluons is not at our disposal so far.  ...  The understanding of the non-perturbative regime of YM theories remains a challenging open problem in theoretical physics.  ...  to formulate the elementary interactions.  ... 
arXiv:1607.00365v1 fatcat:y7jteoxnzbhwri3cbrfwqm3miy

Avalanche and microwave emission in N-type indium antimonide at liquid nitrogen temperature [article]

RG Robert Van Welzenis, F Van Der Maesen, HW Hans Pötzl
1972
The generation during the first few nanoseconds can be approximated as an exponential in- For an electric field of 3.5 x 10 4 V/m, g will be about 10 8 s-1 (see chapter V), and so for 6 = 0.5 one finds  ...  Examples of current and voltage waveforms are shown in fig. 5 . 3 . and to lie at about ti = 25 ns in this case.  ... 
doi:10.6100/ir11552 fatcat:ujhic6pcuzb2tlcedwntybv3sq

On Fatigue Life Under Stationary Gaussian Random Loads

R. Talreja
1973 Journal of the Acoustical Society of America  
Consequently, approximate methods have been suggested by various investigators.  ...  At five elementary schools, the jet noise in the schoolyards ranged from 100 to 120 dBC and constituted a high risk of hearing damage for the young children.  ...  decays exponentially in a direc-to the plate.  ... 
doi:10.1121/1.1982256 fatcat:w7xnxse54nerdlhsueme325zem

On fatigue life under stationary Gaussian random loads

Ramesh Talreja
1973 Engineering Fracture Mechanics  
Consequently, approximate methods have been suggested by various investigators.  ...  At five elementary schools, the jet noise in the schoolyards ranged from 100 to 120 dBC and constituted a high risk of hearing damage for the young children.  ...  decays exponentially in a direc-to the plate.  ... 
doi:10.1016/0013-7944(73)90064-7 fatcat:eue2d6byvre4zczgb7qi5np5vi
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