Results 91 to 100 of about 1,797,841 (315)

Geometrical interpretations of Bäcklund transformations and certain types of partial differential equations : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University [PDF]

, 2000
Page 37 is missing from the original copy.Gauss' Theorema Egregium contains a partial differential equation relating the Gaussian curvature K to components of the metric tensor and its derivatives.
Selvaratnam, Anton Raviraj
core  

Mapping the evolution of mitochondrial complex I through structural variation

FEBS Letters, EarlyView.
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin, Tingting Chen, James A. Letts   +2 more
wiley   +1 more source

4‐nitrobenzoate inhibits 4‐hydroxybenzoate polyprenyltransferase in malaria parasites and enhances atovaquone efficacy

FEBS Letters, EarlyView.
Atovaquone is an antimalarial requiring potentiation for sufficient efficacy. We pursued strategies to enhance its activity, showing that 4‐nitrobenzoate inhibits 4‐hydroxybenzoate polyprenyltransferase, decreasing ubiquinone biosynthesis. Since atovaquone competes with ubiquinol in mitochondria, 4‐nitrobenzoate facilitates its action, potentiating ...
Ignasi Bofill Verdaguer, Matheus Felipe Santos, Maurício Mazzine Filho, Gabriela Oliveira Castro, Agustín Hernández, Manoel Aparecido Peres, Alejandro Miguel Katzin, Marcell Crispim   +7 more
wiley   +1 more source

Linked dimers of the AAA+ ATPase Msp1 reveal energetic demands and mechanistic plasticity for substrate extraction from lipid bilayers

FEBS Letters, EarlyView.
Cells must clear mislocalized or faulty proteins from membranes to survive. The AAA+ ATPase Msp1 performs this task, but dissecting how its six subunits work together is challenging. We engineered linked dimers with varied numbers of functional subunits to reveal how Msp1 subunits cooperate and use energy to extract proteins from the lipid bilayer ...
Deepika Gaur, Brian Acquaviva, Baylee A. Smith, Nathan Walker, Isabella Walter, Matthew L. Wohlever   +5 more
wiley   +1 more source

Comparing self‐reported race and genetic ancestry for identifying potential differentially methylated sites in endometrial cancer: insights from African ancestry proportions using machine learning models

Molecular Oncology, EarlyView.
Integrating ancestry, differential methylation analysis, and machine learning, we identified robust epigenetic signature genes (ESGs) and Core‐ESGs in Black and White women with endometrial cancer. Core‐ESGs (namely APOBEC1 and PLEKHG5) methylation levels were significantly associated with survival, with tumors from high African ancestry (THA) showing ...
Huma Asif, J. Julie Kim
wiley   +1 more source

Mean-field approximation of counting processes from a differential equation perspective

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Deterministic limit of a class of continuous time Markov chains is considered based purely on differential equation techniques. Starting from the linear system of master equations, ordinary differential equations for the moments and a partial ...
Dávid Kunszenti-Kovács, Péter Simon
doaj   +1 more source

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

Multidimensional OMICs reveal ARID1A orchestrated control of DNA damage, splicing, and cell cycle in normal‐like and malignant urothelial cells

Molecular Oncology, EarlyView.
Loss of the frequently mutated chromatin remodeler ARID1A, a subunit of the SWI/SNF cBAF complex, results in less open chromatin, alternative splicing, and the failure to stop cells from progressing through the cell cycle after DNA damage in bladder (cancer) cells. Created in BioRender. Epigenetic regulators, such as the SWI/SNF complex, with important
Rebecca M. Schlösser, Florian Krumbach, Eyleen Corrales, Geoffroy Andrieux, Christian Preisinger, Franziska Liss, Alexandra Golzmann, Melanie Boerries, Kerstin Becker, Ruth Knüchel, Stefan Garczyk, Bernhard Lüscher   +11 more
wiley   +1 more source

Solving system of integro differential equations using discrete adomian decomposition method

Journal of Taibah University for Science, 2019
In this paper, we propose a new numerical method for solving system of integro-differential equations featuring Volterra and Fredholm integrals. The proposed method depends on the successful application of the Discrete Adomian Decomposition Method (DADM)
H. O. Bakodah, M. Al-Mazmumy, S. O. Almuhalbedi   +2 more
doaj   +1 more source

Note on asymptotic expressions in the theory of linear differential equations [PDF]

, 1917
W. E. Milne
openalex   +1 more source