scholarly journals On the Perron–Frobenius theory for complex matrices

2012 ◽  
Vol 437 (4) ◽  
pp. 1071-1088 ◽  
Author(s):  
Dimitrios Noutsos ◽  
Richard S. Varga
Keyword(s):  
2018 ◽  
Vol 8 (3) ◽  
pp. 36-41
Author(s):  
Diep Do Thi Hong ◽  
Duong Le Phuoc ◽  
Hoai Nguyen Thi ◽  
Serra Pier Andrea ◽  
Rocchitta Gaia

Background: The first biosensor was constructed more than fifty years ago. It was composed of the biorecognition element and transducer. The first-generation enzyme biosensors play important role in monitoring neurotransmitter and determine small quantities of substances in complex matrices of the samples Glutamate is important biochemicals involved in energetic metabolism and neurotransmission. Therefore, biosensors requires the development a new approach exhibiting high sensibility, good reproducibility and longterm stability. The first-generation enzyme biosensors play important role in monitoring neurotransmitter and determine small quantities of substances in complex matrices of the samples. The aims of this work: To find out which concentration of polyethylenimine (PEI) exhibiting the most high sensibility, good reproducibility and long-term stability. Methods: We designed and developed glutamate biosensor using different concentration of PEI ranging from 0% to 5% at Day 1 and Day 8. Results: After Glutamate biosensors in-vitro characterization, several PEI concentrations, ranging from 0.5% to 1% seem to be the best in terms of VMAX, the KM; while PEI content ranging from 0.5% to 1% resulted stable, PEI 1% displayed an excellent stability. Conclusions: In the result, PEI 1% perfomed high sensibility, good stability and blocking interference. Furthermore, we expect to develop and characterize an implantable biosensor capable of detecting glutamate, glucose in vivo. Key words: Glutamate biosensors, PEi (Polyethylenimine) enhances glutamate oxidase, glutamate oxidase biosensors


2019 ◽  
Vol 294 ◽  
pp. 73-78 ◽  
Author(s):  
Alexandra Bogožalec Košir ◽  
Tina Demšar ◽  
Dejan Štebih ◽  
Jana Žel ◽  
Mojca Milavec

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 746
Author(s):  
Primo Brandi ◽  
Paolo Emilio Ricci

Starting from a representation formula for 2 × 2 non-singular complex matrices in terms of 2nd kind Chebyshev polynomials, a link is observed between the 1st kind Chebyshev polinomials and traces of matrix powers. Then, the standard composition of matrix powers is used in order to derive composition identities of 2nd and 1st kind Chebyshev polynomials. Before concluding the paper, the possibility to extend this procedure to the multivariate Chebyshev and Lucas polynomials is touched on.


2012 ◽  
Vol 46 (16) ◽  
pp. 8937-8944 ◽  
Author(s):  
Christopher O. Miles ◽  
Morten Sandvik ◽  
Hezron E. Nonga ◽  
Thomas Rundberget ◽  
Alistair L. Wilkins ◽  
...  
Keyword(s):  

Author(s):  
Morgane Desmau ◽  
Marco A. Alsina ◽  
Jean-François Gaillard

Study of the evolution of Sn speciation in complex matrices by X-ray absorption spectroscopy and spectral decomposition.


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