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Table representation of search results timeline featuring number of search results per year.

Year Number of Results
1974 1
1979 1
1985 1
1986 1
1987 1
1992 1
1993 1
1994 1
2001 1
2005 2
2006 1
2007 1
2008 2
2009 1
2014 1
2017 1
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2023 1
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Page 1
Defeating the Matrix.
Kuprov I. Kuprov I. J Magn Reson. 2019 Sep;306:75-79. doi: 10.1016/j.jmr.2019.07.031. Epub 2019 Jul 9. J Magn Reson. 2019. PMID: 31326209
To me, the biggest recent achievements of the magnetic resonance community in the field of theory and simulation have been the successful war on the exponential scaling, the powerful and general simulation software, and the return to elegant notation. ...
To me, the biggest recent achievements of the magnetic resonance community in the field of theory and simulation have been the successful wa …
Gompertzian growth and decay: a powerful descriptive tool for neuroscience.
Easton DM. Easton DM. Physiol Behav. 2005 Oct 15;86(3):407-14. doi: 10.1016/j.physbeh.2005.08.016. Epub 2005 Sep 13. Physiol Behav. 2005. PMID: 16165169 Review.
First-order kinetics is based on simple exponential decay, usually expressed in base e (Naperian) notation. "Nonexponential" processes, for example, S-shaped functions, are frequently modeled as sums of that elemental construct, and the number of rate constants incr …
First-order kinetics is based on simple exponential decay, usually expressed in base e (Naperian) notation. "Nonexponential" p …
Matrix notation for efficient development of first-principles models within PAT applications: integrated modeling of antibiotic production with Streptomyces coelicolor.
Sin G, Odman P, Petersen N, Lantz AE, Gernaey KV. Sin G, et al. Biotechnol Bioeng. 2008 Sep 1;101(1):153-71. doi: 10.1002/bit.21869. Biotechnol Bioeng. 2008. PMID: 18454503
A matrix notation coupled to macroscopic principles is introduced as a means to develop first- principles models in an efficient and structured way within PAT applications. The notation was evaluated for developing an integrated biological, chemical (pH modeling) an …
A matrix notation coupled to macroscopic principles is introduced as a means to develop first- principles models in an efficient and …
Discovering topological motifs using a compact notation.
Parida L. Parida L. J Comput Biol. 2007 Apr;14(3):300-23. doi: 10.1089/cmb.2006.0142. J Comput Biol. 2007. PMID: 17563313
We handle the natural combinatorial explosion due to isomorphisms inherent in the problem (which could result in output size being exponential in the input size) by the use of "compact location lists." ...
We handle the natural combinatorial explosion due to isomorphisms inherent in the problem (which could result in output size being expone …
Efficient model selection for predictive pattern mining model by safe pattern pruning.
Yoshida T, Hanada H, Nakagawa K, Taji K, Tsuda K, Takeuchi I. Yoshida T, et al. Patterns (N Y). 2023 Dec 1;4(12):100890. doi: 10.1016/j.patter.2023.100890. eCollection 2023 Dec 8. Patterns (N Y). 2023. PMID: 38106611 Free PMC article.
The main idea behind predictive pattern mining is to build a prediction model by considering unified inconsistent notation sub-structures, such as subsets, subgraphs, and subsequences (referred to as patterns), present in the structured data as features of the model. The p …
The main idea behind predictive pattern mining is to build a prediction model by considering unified inconsistent notation sub-struct …
Number of exponential terms describing the solution of an N-compartmental mammillary model: vanishing exponentials.
Vaughan DP, Dennis MJ. Vaughan DP, et al. J Pharmacokinet Biopharm. 1979 Oct;7(5):511-25. doi: 10.1007/BF01062392. J Pharmacokinet Biopharm. 1979. PMID: 529020
Use is made of matrix notation and the theorems of Browne concerning the eigenvalues of a matrix. The consequences of vanishing exponentials are derived, and in particular the apparent volume of distribution frequently calculated from experimental data is shown not …
Use is made of matrix notation and the theorems of Browne concerning the eigenvalues of a matrix. The consequences of vanishing ex …
Estimating outflow facility through pressure dependent pathways of the human eye.
Smith DW, Gardiner BS. Smith DW, et al. PLoS One. 2017 Dec 20;12(12):e0188769. doi: 10.1371/journal.pone.0188769. eCollection 2017. PLoS One. 2017. PMID: 29261696 Free PMC article.
We use a new notation to specify precisely the meaning of model parameters and so model outputs. ...The model predicts that if the hydraulic conductivity is too small, or the exponential decay constant is too large, then intraocular eye pressure may become unstable …
We use a new notation to specify precisely the meaning of model parameters and so model outputs. ...The model predicts that if the hy …
The rate of convergence of a generalized stable population.
Artzrouni M. Artzrouni M. J Math Biol. 1986;24(4):405-22. doi: 10.1007/BF01236889. J Math Biol. 1986. PMID: 3805903
In an age-structured population that grows exponentially, each age group pi(t) at period t is asymptotically equivalent to x0t for some positive number x0. ...Some notations are introduced, and the R-factor of a convergent sequence and the R-factor of an iterative p …
In an age-structured population that grows exponentially, each age group pi(t) at period t is asymptotically equivalent to x0t for so …
Development of mathematical models for an in vitro-phagocytosis test system.
Petri I, Egerer R, Stelzner A, Süss J, Schütz H. Petri I, et al. Zentralbl Bakteriol Mikrobiol Hyg A. 1987 Dec;267(2):217-27. doi: 10.1016/s0176-6724(87)80007-x. Zentralbl Bakteriol Mikrobiol Hyg A. 1987. PMID: 3328926
The results have been interpreted in different ways, as well sometimes with conflicting notations. In order to get to a more systematic data analysis and to separate intrinsic from methodic influences, the possibility to apply mathematical models to a phagocytosis test has …
The results have been interpreted in different ways, as well sometimes with conflicting notations. In order to get to a more systemat …
Color vision panel tests: a metric for interpreting numeric analytic indices.
Abramov I, Gordon J. Abramov I, et al. Optom Vis Sci. 2009 Feb;86(2):146-52. doi: 10.1097/OPX.0b013e318194e934. Optom Vis Sci. 2009. PMID: 19156016
Thereafter, increasing values of the indices (deteriorations in color vision) fall exponentially with distance. We find that the functions for the Farnsworth and Lanthony panels are so highly correlated that the same function can be used for both. ...CONCLUSIONS: An indivi …
Thereafter, increasing values of the indices (deteriorations in color vision) fall exponentially with distance. We find that the func …
20 results