Reduction of infinite dimensional equations
Electronic Journal of Differential Equations, 2006 In this paper, we use the general Legendre transformation to show the infinite dimensional integrable equations can be reduced to a finite dimensional integrable Hamiltonian system on an invariant set under the flow of the integrable equations.
Zhongding Li, Taixi Xu
doaj
ScInfoVAE: interpretable dimensional reduction of single cell transcription data with variational autoencoders and extended mutual information regularization. [PDF]
BioData Min, 2023 Pan W, Long F, Pan J.
europepmc +1 more source
Tumour‐proximal deep serum proteomics identifies biomarkers associated with ovarian cancer
Molecular Oncology, EarlyView.New biomarkers are needed for early ovarian cancer detection. Ovarian (tumour‐proximal) and peripheral vein serum from healthy women and patients with benign or malignant tumours underwent nanoparticle‐enriched deep proteomics. Ovarian serum yielded more protein identifications and revealed tumour‐reflective signatures.
Darren Lau +9 more
wiley +1 more source
Dimensional Reduction Enhances Photodynamic Therapy of Metal-Organic Nanophotosensitizers. [PDF]
J Am Chem Soc, 2022 Luo T +6 more
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FEBS Open Bio, EarlyView.RoboMic is an automated confocal microscopy pipeline for high‐throughput functional imaging in living cells. Demonstrated with fluorescence recovery after photobleaching (FRAP), it integrates AI‐driven nuclear segmentation, ROI selection, bleaching, and analysis.
Selçuk Yavuz +6 more
wiley +1 more source
Dimensional reduction of nonlinear time delay systems
International Journal of Mathematics and Mathematical Sciences, 2005 Whenever there is a time delay in a dynamical system, the study of stability becomes an infinite-dimensional problem. The centre manifold theorem, together with the classical Hopf bifurcation, is the most valuable approach for simplifying the infinite ...
M. S. Fofana
doaj +1 more source
Dimensional Reduction for Single-Molecule Imaging of DNA and Nucleosome Condensation by Polyamines, HP1α and Ki-67. [PDF]
J Phys Chem B, 2023 Benning NA +9 more
europepmc +1 more source
Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies
FEBS Open Bio, EarlyView.We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli +8 more
wiley +1 more source
Using Sensorized Gloves and Dimensional Reduction for Hand Function Assessment of Patients with Osteoarthritis. [PDF]
Sensors (Basel), 2021 Gracia-Ibáñez V +5 more
europepmc +1 more source
RoundMi: A quantitative method to analyze mitochondrial morphology in mitotic cells
FEBS Open Bio, EarlyView.RoundMi is a workflow for rapid analysis of mitochondrial morphology in mitotic cells. By combining adaptive preprocessing with automated segmentation and quantification, it enables accurate measurements from single focal plane images, reducing acquisition time and computational demands while remaining compatible with high‐throughput fixed and live ...
Elmira Parvindokht Bararpour +2 more
wiley +1 more source