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Foundations of the Wentzel-Kramers-Brillouin approximation for models of cochlear mechanics in 1- and 2-D

Brian L. Frost

J Acoust Soc Am. 2024 Jan; 155(1): 358–379. Published online 2024 Jan 18. doi: 10.1121/10.0024355

PMCID:: PMC10800151

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Protective Effects of White Kidney Bean (Phaseolus vulgaris L.) against Diet-Induced Hepatic Steatosis in Mice Are Linked to Modification of Gut Microbiota and Its Metabolites

Qiqian Feng, Zhitao Niu, Siqi Zhang, Li Wang, Lijun Dong, Dianzhi Hou, Sumei Zhou

Nutrients. 2023 Jul; 15(13): 3033. Published online 2023 Jul 4. doi: 10.3390/nu15133033

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Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions

Anton Arnold, Claudia Negulescu

Numer Math (Heidelb) 2018; 138(2): 501–536. Published online 2017 Aug 30. doi: 10.1007/s00211-017-0913-7

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Mixture distributions in a stochastic gene expression model with delayed feedback: a WKB approximation approach

Pavol Bokes, Alessandro Borri, Pasquale Palumbo, Abhyudai Singh

J Math Biol. 2020; 81(1): 343–367. Published online 2020 Jun 24. doi: 10.1007/s00285-020-01512-y

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The effect of white kidney bean fertilized with nano-zinc on nutritional and biochemical aspects in rats

Eman E. Shaban, Hagar F.H. Elbakry, Khadiga S Ibrahim, Eman M. El Sayed, Dina M. Salama, Abdel-Razik H. Farrag

Biotechnol Rep (Amst) 2019 Sep; 23: e00357. Published online 2019 Jun 27. doi: 10.1016/j.btre.2019.e00357

Correction in:: Biotechnol Rep (Amst). 2021 Mar; 29: e00582.

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Dynamics of Ion Channels via Non-Hermitian Quantum Mechanics

Tobias Gulden, Alex Kamenev

Entropy (Basel) 2021 Jan; 23(1): 125. Published online 2021 Jan 19. doi: 10.3390/e23010125

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Quasinormal modes and shadow of noncommutative black hole

J. A. V. Campos, M. A. Anacleto, F. A. Brito, E. Passos

Sci Rep. 2022; 12: 8516. Published online 2022 May 20. doi: 10.1038/s41598-022-12343-w

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On the monodromy of the deformed cubic oscillator

Tom Bridgeland, Davide Masoero

Math Ann. 2023; 385(1-2): 193–258. Published online 2022 Jan 4. doi: 10.1007/s00208-021-02337-w

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No food for thought: moderating effects of delay discounting and future time perspective on the relation between income and food insecurity

Leonard H Epstein, Noelle Jankowiak, Henry Lin, Rocco Paluch, Mikhail N Koffarnus, Warren K Bickel

Am J Clin Nutr. 2014 Sep; 100(3): 884–890. Published online 2014 Jul 9. doi: 10.3945/ajcn.113.079772

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Adsorption and encapsulation of flexible polyelectrolytes in charged spherical vesicles

H. R. Shojaei, M. Muthukumar

J Chem Phys. 2017 Jun 28; 146(24): 244901. Published online 2017 Jun 22. doi: 10.1063/1.4986961

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Energy Dependence of the D-D Reaction Cross Section at Low Energies

J. G. Brennan, J. J. Coyne

J Res Natl Bur Stand A Phys Chem. 1964 Nov-Dec; 68A(6): 675–682. doi: 10.6028/jres.068A.068

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The MHD Newtonian hybrid nanofluid flow and mass transfer analysis due to super-linear stretching sheet embedded in porous medium

U. S. Mahabaleshwar, T. Anusha, M. Hatami

Sci Rep. 2021; 11: 22518. Published online 2021 Nov 18. doi: 10.1038/s41598-021-01902-2

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The Source and Credibility of Colorectal Cancer Information on Twitter

SoHyun Park, Heung-Kwon Oh, Gibeom Park, Bongwon Suh, Woo Kyung Bae, Jin Won Kim, Hyuk Yoon, Duck-Woo Kim, Sung-Bum Kang

Medicine (Baltimore) 2016 Feb; 95(7): e2775. Published online 2016 Feb 18. doi: 10.1097/MD.0000000000002775

Correction in:: Medicine (Baltimore). 2016 May; 95(18): e21a5.

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Continued Posttrial Benefits of Buprenorphine Extended Release: RECOVER Study Findings

Brent Boyett, Vijay R. Nadipelli, Caitlyn T. Solem, Howard Chilcoat, Warren K. Bickel, Walter Ling

J Addict Med. 2023 Mar-Apr; 17(2): 182–189. Published online 2022 Sep 16. doi: 10.1097/ADM.0000000000001070

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Quantifying invasibility

Jayant Pande, Yehonatan Tsubery, Nadav M. Shnerb

Ecol Lett. 2022 Aug; 25(8): 1783–1794. Published online 2022 Jun 18. doi: 10.1111/ele.14031

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A four-state Markov model of sleep-wakefulness dynamics along light/dark cycle in mice

Leonel Perez-Atencio, Nicolas Garcia-Aracil, Eduardo Fernandez, Luis C. Barrio, Juan A. Barios

PLoS One. 2018; 13(1): e0189931. Published online 2018 Jan 5. doi: 10.1371/journal.pone.0189931

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The Effects of Prenatal Supplementation with β-Hydroxy-β-Methylbutyrate and/or Alpha-Ketoglutaric Acid on the Development and Maturation of Mink Intestines Are Dependent on the Number of Pregnancies and the Sex of the Offspring

Piotr Dobrowolski, Siemowit Muszyński, Janine Donaldson, Andrzej Jakubczak, Andrzej Żmuda, Iwona Taszkun, Karol Rycerz, Maria Mielnik-Błaszczak, Damian Kuc, Ewa Tomaszewska

Animals (Basel) 2021 May; 11(5): 1468. Published online 2021 May 20. doi: 10.3390/ani11051468

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Controlling the Mean Time to Extinction in Populations of Bacteria

Bhumika Thakur, Hildegard Meyer-Ortmanns

Entropy (Basel) 2023 May; 25(5): 755. Published online 2023 May 5. doi: 10.3390/e25050755

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Stochastic Tunneling and Metastable States During the Somatic Evolution of Cancer

Peter Ashcroft, Franziska Michor, Tobias Galla

Genetics. 2015 Apr; 199(4): 1213–1228. Published online 2015 Jan 26. doi: 10.1534/genetics.114.171553

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Crucial 3-D viscous hydrodynamic contributions to the theoretical modeling of the cochlear response

Renata Sisto, Daniele Belardinelli, Alessandro Altoè, Christopher A. Shera, Arturo Moleti

J Acoust Soc Am. 2023 Jan; 153(1): 77–86. Published online 2023 Jan 5. doi: 10.1121/10.0016809

PMCID:: PMC10167633

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Fig. 7Anharmonic and harmonic partition functions at 200–2000 K. QH is the quasiharmonic oscillator partition function. QQ (WKB) and QQ (FGH) are the quadratic–quartic anharmonic partition functions obtained from the energy levels by WKB method (red solid line) and FGH method (red dashed line), respectively.

Anharmonic kinetics of the cyclopentane reaction with hydroxyl radical

Chem Sci. 2020 Mar 7;11(9):2511-2523.
Figure 4.

Separation constants C_n calculated using our exact wave functions and the WKB method with a soft wall condition.

Exact eigenstates of a nanometric paraboloidal emitter and field emission quantities

Proc Math Phys Eng Sci. 2018 Jun;474(2214):20170692.
Fig. 6Quadratic–quartic potential along the mass-scaled coordinate for the bending mode in cyclopentane. The top ten eigenvalue spectrum of the potential computed by WKB method (solid line) and FGH method (dash line) is also displaced.

Anharmonic kinetics of the cyclopentane reaction with hydroxyl radical

Chem Sci. 2020 Mar 7;11(9):2511-2523.
FIG. 2.

(a) Reduced potential as a function of the vesicle radius R. (b) Sketch of , given by Eq. , as a function of radius for both inside and outside of the vesicle. I and II refer to and , respectively, to be distinguished in the WKB method.

Adsorption and encapsulation of flexible polyelectrolytes in charged spherical vesicles

J Chem Phys. 2017 Jun 28;146(24):244901.