Application of Fourier harmonic analysis to the electromechanical response of an electroactive material

2002 ◽  
Vol 92 (7) ◽  
pp. 3908-3916 ◽  
Author(s):  
C. B. DiAntonio ◽  
F. A. Williams ◽  
S. M. Pilgrim ◽  
W. A. Schulze
2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Takashi Ono ◽  
Yuki Kawasaki ◽  
Lily Wei Chen ◽  
Tetsuya Toyono ◽  
Rika Shirakawa ◽  
...  

Abstract The aim of this observational study was to examine the characteristics of anterior and posterior corneal topography in keratoconic eyes more than 30 years after penetrating keratoplasty (PK). Patients who maintained clear grafts for more than 30 years after PK were included and divided into the keratoconus (KC) group or other diseases (Others) group, based on the primary indication. Twenty-six eyes of 26 patients were included. The KC group and the Others group included 14 eyes and 12 eyes, respectively. The KC group participants were younger at the time of surgery (P = 0.03). No differences were found in best-spectacle-corrected visual acuity, keratometric power, and central-corneal-thickness. Based on corneal topography using Fourier harmonic analyses, regular astigmatism in the anterior cornea was significantly larger (P = 0.047) and the spherical component in the posterior cornea was significantly lower (P = 0.01) in the KC group. The area under the receiver operating characteristic curve of the spherical component, regular astigmatism, asymmetry component, and higher-order irregularity were 66.07%, 63.10%, 57.14%, and 59.23%, respectively, in the anterior cornea and 80.65%, 52.98%, 63.10%, and 63.99%, respectively, in the posterior cornea. Our results suggested that Fourier harmonic analysis of corneal topography could be useful for patients with KC long after PK.


2021 ◽  
Vol 99 (Supplement_3) ◽  
pp. 424-424
Author(s):  
John J Parrish ◽  
Javeria Arshad ◽  
M A Awan ◽  
S Akhter

Abstract A model to predict Nili-ravi buffalo bull fertility was developed based on Fourier harmonic analysis of sperm. Seventeen bulls with 3032 AI records were categorizes based on fertility rate (FR) as low (36.5±0.2, n = 6: SD< ˗1 from mean FR), medium (39.9±0.2, n = 3; SD +1 to -1 from mean FR) and high fertility (41.4±0.1, n = 8; SD > +1 from mean FR). Cryopreserved semen samples from these bulls were investigated for Fourier harmonic analysis of sperm nuclear shape. Hoechst-33342 and YOYO-1 fluorescent stains were used to identify live and dead sperm. Digital images were analyzed to get sperm nuclear perimeter points at different phase angles to generate Fourier functions. Mean harmonic amplitude (HA) 0 was different (P < 0.05) for 1700 live vs. 1294 dead sperm from the 17 bulls, thus live sperm were used for remaining analyses. The mean, variance, skewness and kurtosis values of 100 live sperm nuclei/bull were compared for HA0-5 between high (n = 6) and low (n = 6) fertility groups, considering equal number of bulls in each category. The mean HA2 (0.739±0.01 vs 0.686±0.00) and 4 (0.105±0.001 vs 0.007±0.001) were higher in high vs low fertility group respectively (P < 0.05). Sperm nuclear perimeter among high fertility group sperm was more elongated. There was also an increased skewness of HA0 as fertility increased (P < 0.05). Discriminant analysis defined a fertility model by using mean HA4, skewness HA0 and variance HA2, that resulted in 91.7% bulls into their correct fertility group upon cross-validation (canonical correlation=0.928; P < 0.05). Higher values of mean HA4, skewness HA0 and variance HA2 increase the chance of bulls being placed in the high fertility group. In conclusion, sperm nuclear shape in Nili-ravi buffalo bull is related to in vivo fertility. A fertility model using reported discriminant measures could be used to objectively identify Nili-ravi buffalo bulls of varying fertility.


2021 ◽  
Vol 899 (1) ◽  
pp. 012023
Author(s):  
Theodoros Kalyvas ◽  
Stella Manika ◽  
Efthimios Zervas

Abstract In the context of climate change, there is a need for the determination of appropriate indexes for the quantification of temperature variability. A new index (TEVY index) is proposed in this work. This index uses the deviation of the observed temperature values from those estimated from a Fourier harmonic analysis. For this purpose, a nearly 50-year time series data from 4 stations in Greece, with very different climatic conditions, are used. One station is located in the colder northern region of Greece, another one is in the warmest southern part, while the 2 other stations are representative of continental and Mediterranean climatic features. A Fourier harmonic analysis is carried out to obtain the Fourier series which simulates the observed data time series. Fourier harmonic analysis, which is relied on the Fourier transform, is a well-established method for time series analysis, particularly for modelling periodic data. Using this procedure, an index of temperature variability is proposed, as the sum of the divergence of the above-mentioned Fourier series from the observed data. The index results are analysed as a function of the different climatic features of each station.


Cornea ◽  
2020 ◽  
Vol Publish Ahead of Print ◽  
Author(s):  
Risako Yamamoto ◽  
Takashi Ono ◽  
Tetsuya Toyono ◽  
Rika Shirakawa ◽  
Mika Noda ◽  
...  

2020 ◽  
Vol 158 (6) ◽  
pp. S-936-S-937
Author(s):  
Dana Ley ◽  
Megan Krautkramer ◽  
John Parrish ◽  
Jeffrey M. Jones ◽  
Sana M. Salih ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document