Article
Mathematics
Madhusudan Bera, M. Guru Prem Prasad
Summary: This paper investigates the dynamics of functions in two families, F and G, showing that bifurcation and chaotic bursts occur at a certain parameter value for functions in family F, but not in family G.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
(2021)
Article
Mathematics
Chukwuma Ogbonnaya, Chamil Abeykoon, Adel Nasser, Ali Turan
Summary: The article introduces a code-based modeling approach for solving transcendental equations, illustrating the solution steps and conducting parametric studies through examples. The application of this method in modeling and simulating photovoltaic and thermophotovoltaic systems is emphasized as well.
Article
Multidisciplinary Sciences
Abdelmejid Bayad, Yilmaz Simsek
Summary: This paper investigates the generating functions of parametrically generalized polynomials related to combinatorial numbers, Bernoulli polynomials and numbers, Euler polynomials and numbers, cosine-Bernoulli polynomials, sine-Bernoulli polynomials, cosine-Euler polynomials, and sine-Euler polynomials. By applying Euler's formula, the paper derives new formulas and relations for these special polynomials and numbers. The paper also examines special cases and provides comparisons with previous results. Additionally, open questions about interpolation functions for these polynomials are addressed. The main results of the paper highlight the symmetry between numbers and polynomials in a more general framework, including Bernoulli, Euler, and Catalan polynomials.
Article
Mathematics, Applied
Nuha Hamada, Faten Kharbat
Summary: The purpose of this paper is to generate fractals of sine and cosine functions for a complex polynomial z(k) + c via Picard-Mann iterations. Escape criteria are established and proven for sin z(k) + c and cos z(k) + c for generating Mandelbrot and Julia sets using Picard-Mann iterations. Images, generation time, and average number of iterations of the generated Mandelbrot and Julia sets are compared using various input parameters for different k.
COMPLEX ANALYSIS AND OPERATOR THEORY
(2023)
Article
Green & Sustainable Science & Technology
Yasmine Lalau, Ibrahim Al Asmi, Regis Olives, Guilhem Dejean, Antoine Meffre, Xavier Py
Summary: Using a life cycle assessment, this study examines the environmental impact of a high-temperature (500 degrees C) industrial waste heat recovery and storage system. The results show that the system reduces environmental indicators and exhibits a promising energy profitability. Furthermore, the study finds that optimizing the system's cycling frequency can strike a balance between reducing resource depletion potential and increasing energy returned on investment.
JOURNAL OF CLEANER PRODUCTION
(2022)
Article
Mathematics, Applied
Cong Wang, Jiabao Su
Summary: This paper extends the results of Brezis and Willem (2008) to equations with single or double weighted critical exponents, including Hardy-Sobolev, Sobolev and Henon-Sobolev exponents. The study establishes the existence or nonexistence of equations with different coefficients, showcasing their significant impact.
RICERCHE DI MATEMATICA
(2021)
Article
Mathematics
Chiara de Fabritiis
Summary: This paper analyzes five transcendental operators acting on the space of slice regular functions and examines their relationships. The study finds that there is a certain relationship between cos* and cosh* in specific domains.
CONCRETE OPERATORS
(2022)
Article
Mathematics, Applied
H. M. Srivastava, B. Khan, N. Khan, A. Hussain, N. Khan, M. Tahir
Summary: This paper introduces new subclasses of multivalent q-starlike functions associated with Janowski functions, involving distortion theorems and coefficient inequalities. The results are connected with earlier works and emphasize the redundancy of the additional parameter p.
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS
(2021)
Article
Mathematics
Mohammad Idris Qureshi, Mahvish Ali, Dilshad Ahamad, Saima Jabee
Summary: By utilizing the theory of polynomial equations, this paper presents infinite product representations for certain transcendental functions, allowing for easy calculation of all possible zeros and n-th order differential coefficient at x = 0. This novel approach sets it apart from methods used by other authors.
TBILISI MATHEMATICAL JOURNAL
(2021)
Review
Medicine, General & Internal
Patricia Irizar, Daniel Pan, Dharmi Kapadia, Laia Becares, Shirley Sze, Harry Taylor, Sarah Amele, Eliud Kibuchi, Pip Divall, Laura J. Gray, Laura B. Nellums, Srinivasa Vittal Katikireddi, Manish Pareek
Summary: This study analyzed global data on COVID-19 clinical outcomes and found systematic ethnic inequalities in health outcomes. Minoritised ethnic groups have a higher risk of infection, hospitalization, ICU admission, and mortality compared to the ethnic majority group. The study highlights the importance of addressing the drivers of ethnic inequalities, such as structural racism and racial discrimination.
Article
Biochemistry & Molecular Biology
Cyrus Ahmadi Toussi, Javad Haddadnia, Cherif F. Matta
Summary: The elastic network model, as a novel tool, shows high accuracy and speed in predicting the activity of molecules with different chemical structures but common biological activity, making it a promising tool for industrial applications such as drug and material design.
MOLECULAR DIVERSITY
(2021)
Article
Chemistry, Multidisciplinary
SeyedAbdolreza Sadjadi, Cherif F. Matta, Ian P. Hamilton
Summary: The electronic structure and bonding properties of Group 12 dications M-2(2+)(M = Zn, Cd, Hg) were investigated, with emphasis on using electron density-derived quantities to characterize the metastability of these species. Various methods including Laplacian of the electron density and one-electron Bohm quantum potential were used to describe the bond path. The findings suggest promising results in discerning the stability of these species using electronic fingerprinting tools like LDMs and IQA energies, despite classical bonding indices being inconclusive.
JOURNAL OF COMPUTATIONAL CHEMISTRY
(2021)
Article
Mathematics
Peyman Fahimi, Cyrus Ahmadi Toussi, Walter Trump, Javad Haddadnia, Cherif F. Matta
Summary: This study explores patterns in magic squares using electrostatic potentials (ESP), revealing characteristic patterns among different order magic squares, showing minimum ESP values and equipotential points with constants on the square lattice. These findings shed light on unsolved problems in magic squares, utilizing physics to detect hidden patterns in mathematical objects.
DISCRETE MATHEMATICS
(2021)
Article
Biochemistry & Molecular Biology
Peyman Fahimi, Cherif F. Matta
Summary: Recent experiments and thermodynamic arguments suggest that mitochondrial temperatures are higher than those of the cytoplasm. A formula is proposed to calculate the rate of heat production in mitochondria and estimate the number of active ATP synthase molecules per mitochondrion, showing that both scale with cell volume. The study on four heterotrophic protozoan cell types reveals a range in mitochondrial power and active ATP synthase molecules, indicating significant differences based on cell size.
Article
Astronomy & Astrophysics
Fraser M. Smith, Tina A. Harriott, Daniel Majaess, Lou Massa, Cherif F. Matta
Summary: Analysis of observations from the Apache Point Observatory Catalog of Optical Diffuse Interstellar Bands (DIBs) revealed highly correlated pairs in terms of their equivalent widths, aiding in the identification of common carriers. Further research is needed to explore the novel relations between certain DIBs and investigate potential DIB carriers.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2021)
Article
Chemistry, Multidisciplinary
Jean-Nicolas Vigneau, Peyman Fahimi, Maximilian Ebert, Youji Cheng, Connor Tannahill, Paul Muir, Thanh-Tung Nguyen-Dang, Cherif F. Matta
Summary: ATP synthase's MESP reinforces the chemiosmotic voltage, creating a new and overlooked free energy term that is roughly equal in magnitude but opposite in sign to the energy dissipated as a Maxwell's demon.
CHEMICAL COMMUNICATIONS
(2022)
Article
Chemistry, Physical
Lazaro A. M. Castanedo, Cherif F. Matta, Kai E. O. Ylijoki
Summary: The study revisits the dimerization mechanism of cyclooctetraene (COT) using electron density and electron localization-delocalization matrices (LDMs). It is found that the rate-limiting step of the reaction is the penultimate transition state of a series of five transition states, and the dimer has a significant total dipole moment. Furthermore, the research shows that LDMs are excellent monitors of structural/electronic similarity.
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
(2022)
Article
Chemistry, Physical
Cherif F. Matta, Lou Massa
Summary: This paper discusses the decomposition of the projector matrix P and introduces the use of 2-projector triple products to achieve this. These methods are applicable in quantum crystallography of large molecules, ensuring N-representability through Clinton equations.
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
(2022)
Article
Chemistry, Multidisciplinary
Cherif F. Matta, Lulu Huang, Lou Massa
Summary: Linus Pauling made significant contributions to various scientific fields, including structural biology, chemistry, and quantum mechanics. He developed and used X-ray and electron diffraction as principal tools in his work. His research laid the foundation for the development of Quantum Crystallography, which combines crystallography and quantum mechanics.
ISRAEL JOURNAL OF CHEMISTRY
(2022)
Article
Chemistry, Physical
Muhammad Shadman Lakmehsari, Saeid Yeganegi, Cherif F. Matta, Khashayar Ghandi, Farhood Ziaie
Summary: The diffusion of molecular hydrogen, helium, and neon through a PVB membrane is investigated, with hydrogen showing stronger interaction with the membrane, neon having a lower self-diffusion coefficient, and hydrogen exhibiting higher diffusivity.
JOURNAL OF MOLECULAR LIQUIDS
(2022)
Article
Chemistry, Physical
Lahcene Azzouz, Mohamed Halit, Hassan Denawi, Zoulikha Charifi, Hakim Baaziz, Michel Rerat, Cherif F. Matta
Summary: In this study, the crystal structures, electronic, and magnetic properties of RbCeX2 (X = S, Se, Te) crystals under a pressure of up to 10 GPa were investigated using DFT calculations. It was found that the ferromagnetic phase is slightly more stable than the antiferromagnetic phase for all compounds and pressures. Furthermore, a pressure-induced transition from a magnetic semiconductor to a spin gapless semiconductor was observed only in the case of the X = Te compound.
JOURNAL OF ALLOYS AND COMPOUNDS
(2022)
Article
Chemistry, Multidisciplinary
Jesus Jara-Cortes, Cherif F. Matta, Jesus Hernandez-Trujillo
Summary: This paper presents an approach for the fast calculation of the interacting quantum atoms energy decomposition (IQA) from the information contained in the first order reduced density matrix. The proposed methodology uses an approximate exchange-correlation density from Density Matrix Functional Theory, and estimates weight factors to decompose the exact V-xc into atomic and pairwise contributions. The method can be used to obtain atomic contributions in excited states and ground states, and extends the applicability of the IQA approach in the study of large photochemical systems.
JOURNAL OF COMPUTATIONAL CHEMISTRY
(2022)
Article
Multidisciplinary Sciences
Lazaro A. M. Castanedo, Cherif F. Matta
Summary: This article utilizes thermodynamic analysis and quantum chemical calculations to investigate the predominance of α-D and β-D ribose derivatives in nucleotides, and predicts the order of uracil and thymine incorporation in RNA and DNA. It explores the interplay of kinetics and thermodynamics in the evolutionary selection of life's building blocks.
Article
Biology
Peyman Fahimi, Cherif F. Matta, Jordan G. Okie
Summary: Mitochondria play a central role in ATP production in eukaryotic cells. To understand the relationship between a mitochondrion's power and host cell size, researchers analyzed two databases and found that in well-fed protists, higher values of mitochondrion power cluster around both the smallest and medium-large cell sizes. However, the relation between mitochondrion power and cell size is inconclusive in starved protists and metazoans, while in microalgae and plants, mitochondrion power seems to increase from smaller to larger cells. This study provides estimates of the number of active ATP synthase molecules and basal uncouplers.
JOURNAL OF THEORETICAL BIOLOGY
(2023)
Review
Chemistry, Multidisciplinary
Peyman Fahimi, Cherif F. Matta
Summary: This article discusses the "hot mitochondrion paradox," which refers to the contradiction between two different observations regarding the temperature difference in mitochondria. Experimental results show that mitochondria are 10 degrees C hotter than their surroundings, while theoretical estimates suggest a maximum difference of 10(-5) degrees C. The article suggests that proton translocation via ATP synthase may cause picosecond temperature-difference spikes, explaining the disagreement between the observations.
TRENDS IN CHEMISTRY
(2022)
