Results 81 to 90 of about 59,224 (329)

Fractional Calculus and Shannon Wavelet [PDF]

Mathematical Problems in Engineering, 2012
An explicit analytical formula for the any order fractional derivative of Shannon wavelet is given as wavelet series based on connection coefficients. So that for any L2(ℝ) function, reconstructed by Shannon wavelets, we can easily define its fractional derivative.
openaire   +3 more sources

Multi‐omic characterization of consensus molecular subtype 1 (CMS1) colorectal cancer with dampened immune response improves precision medicine

Molecular Oncology, EarlyView.
This study highlights the importance of multi‐omic analyses in characterizing colorectal cancers. Indeed, our analysis revealed a rare CMS1 exhibiting dampened immune activation, including reduced PD‐1 expression, moderate CD8+ T‐cell infiltration, and suppressed JAK/STAT pathway.
Livia Concetti, Manuel Scimeca, Julia Bischof, Jonathan Woodsmith, Massimiliano Agostini, Cristina Fiorani, Yufang Shi, Eleonora Candi, Gerry Melino, Alessandro Mauriello, Giuseppe S. Sica   +10 more
wiley   +1 more source

Fractional Vector Calculus and Fractional Maxwell's Equations

, 2011
The theory of derivatives and integrals of non-integer order goes back to Leibniz, Liouville, Grunwald, Letnikov and Riemann. The history of fractional vector calculus (FVC) has only 10 years. The main approaches to formulate a FVC, which are used in the
Belleguie, Ben Adda, Ben Adda, Ben Adda, Ben Adda, Brandt, Chen, Cottrill-Shepherd, Engheta, Foley, Gelfand, Genchev, Hussain, Hussain, Kazbekov, Kilbas, Kiryakova, Laskin, Mashhoon, Mashhoon, Mashhoon, McBride, Meerschaert, Metzler, Metzler, Miller, Montroll, Naqvi, Naqvi, Nishimoto, Oldham, Pierantozzi, Podlubny, Ross, Rubin, Samko, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Vasily E. Tarasov, West, Zaslavsky, Zaslavsky   +55 more
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On calculus of local fractional derivatives

Journal of Mathematical Analysis and Applications, 2002
\textit{K. M. Kolwankar} and \textit{A. D. Gangal} [``Fractional differentiability of nowhere differentiable functions and dimensions'', Chaos 6, No.~4, 505-513 (1996; Zbl 1055.26504)] introduced a certain ``localization'' \(d^\alpha f(x)\) of the Riemann-Liouville fractional derivative to study the local behaviour of nowhere differentiable functions ...
Azizollah Babakhani, Varsha Daftardar-Gejji   +1 more
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Chemoresistome mapping in individual breast cancer patients unravels diversity in dynamic transcriptional adaptation

Molecular Oncology, EarlyView.
This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani, Gilgi Friedlander, Gili Perry, Nora Balint‐Lahat, Shlomit Gilad, Dana Morzaev‐Sulzbach, Anjana Shenoy, Noa Bossel Ben‐Moshe, Anya Pavlovsky, Rinat Bernstein‐Molho, Eytan Domany, Iris Barshack, Tamar Geiger, Bella Kaufman, Einav Nili Gal‐Yam   +14 more
wiley   +1 more source

A study on the existence results of boundary value problems of fractional relaxation integro-differential equations with impulsive and delay conditions in Banach spaces

AIMS Mathematics
The aim of this paper was to provide systematic approaches to study the existence of results for the system fractional relaxation integro-differential equations.
Saowaluck Chasreechai, Sadhasivam Poornima , Panjaiyan Karthikeyann, Kulandhaivel Karthikeyan, Anoop Kumar, Kirti Kaushik , Thanin Sitthiwirattham   +6 more
doaj   +1 more source

Application of Fractional Calculus in Engineering [PDF]

, 2011
Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. It has been recognized the advantageous use of this mathematical tool in the modelling and control of many dynamical systems.
Machado, J. A. Tenreiro, Jesus, Isabel S., Barbosa, Ramiro S., Silva, Manuel F., Reis, Cecília   +4 more
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Determination of ADP/ATP translocase isoform ratios in malignancy and cellular senescence

Molecular Oncology, EarlyView.
The individual functions of three isoforms exchanging ADP and ATP (ADP/ATP translocases; ANTs) on the mitochondrial membrane remain unclear. We developed a method for quantitatively differentiating highly similar human ANT1, ANT2, and ANT3 using parallel reaction monitoring. This method allowed us to assess changes in translocase levels during cellular
Zuzana Liblova, Dominika Maurencova, Barbora Salovska, Marek Kratky, Tomas Mracek, Zuzana Korandova, Alena Pecinova, Pavla Vasicova, David Rysanek, Ladislav Andera, Ivo Fabrik, Rudolf Kupcik, Pavel Kashmel, Pinky Sultana, Vojtech Tambor, Jiri Bartek, Josef Novak, Marie Vajrychova, Zdenek Hodny   +18 more
wiley   +1 more source

Basics of Qualitative Theory of Linear Fractional Difference Equations [PDF]

, 2012
Tato doktorská práce se zabývá zlomkovým kalkulem na diskrétních množinách, přesněji v rámci takzvaného (q,h)-kalkulu a jeho speciálního případu h-kalkulu.
Kisela, Tomáš
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Early metastasis is characterized by Gr1+ cell dysregulation and is inhibited by immunomodulatory nanoparticles

Molecular Oncology, EarlyView.
Breast cancer metastasis is associated with myeloid cell dysregulation and the lung‐specific accumulation of tumor‐supportive Gr1+ cells. Gr1+ cells support metastasis, in part, through a CHI3L1‐mediated mechanism, which can be targeted and inhibited with cargo‐free, polymeric nanoparticles.
Jeffrey A. Ma, Sophia M. Orbach, Kate V. Griffin, Kathryn Kang, Yining Zhang, Rebecca S. Pereles, Ian A. Schrack, Guillermo Escalona, Jacqueline S. Jeruss, Lonnie D. Shea   +9 more
wiley   +1 more source