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Fractional order calculus: historical apologia, basic concepts and some applications
Fractional order calculus (FOC) deals with integrals and derivatives of arbitrary (i.e., non-integer) order, and shares its origins with classical integral and differential calculus.
S.A. David+2 more
doaj +1 more source
Landscape of BRAF transcript variants in human cancer
We investigate the annotation of BRAF variants, focusing on protein‐coding BRAF‐220 (formerly BRAF‐reference) and BRAF‐204 (BRAF‐X1). The IsoWorm pipeline allows us to quantify these variants in human cancer, starting from RNA‐sequencing data. BRAF‐204 is more abundant than BRAF‐220 and impacts patient survival.
Maurizio S. Podda+5 more
wiley +1 more source
Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense
We prove Noether-type theorems for fractional isoperimetric variational problems with Riemann-Liouville derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples, in the fractional context of the calculus of variations,
Almeida+39 more
core +1 more source
A survey on fractional variational calculus [PDF]
This is a preprint of a paper whose final and definite form is in 'Handbook of Fractional Calculus with Applications. Vol 1: Basic Theory', De Gruyter.
Almeida, Ricardo, Torres, Delfim F. M.
openaire +3 more sources
The pan‐HDAC inhibitor belinostat increases the expression of the pro‐apoptotic proteins Bim, Puma, and Noxa and induces apoptosis in ovarian cancer cell lines and patient‐derived tumor organoids when used at high concentrations. Moreover, inhibiting the anti‐apoptotic proteins Bcl‐xL or Mcl‐1 sensitizes these preclinical models to the cytotoxic effect
Cécilia Thomine+10 more
wiley +1 more source
Optimal random search, fractional dynamics and fractional calculus
What is the most efficient search strategy for the random located target sites subject to the physical and biological constraints? Previous results suggested the L\'evy flight is the best option to characterize this optimal problem, however, which ...
Chen, YangQuan, Zeng, Caibin
core +1 more source
Operators of Fractional Calculus and Their Applications [PDF]
n ...
openaire +5 more sources
Systematic profiling of cancer‐fibroblast interactions reveals drug combinations in ovarian cancer
Fibroblasts, cells in the tumor environment, support ovarian cancer cell growth and alter morphology and drug response. We used fibroblast and cancer cell co‐culture models to test 528 drugs and discovered new drugs for combination treatment. We showed that adding Vorinostat or Birinapant to standard chemotherapy may improve drug response, suggesting ...
Greta Gudoityte+10 more
wiley +1 more source
From Fractional Quantum Mechanics to Quantum Cosmology: An Overture
Fractional calculus is a couple of centuries old, but its development has been less embraced and it was only within the last century that a program of applications for physics started. Regarding quantum physics, it has been only in the previous decade or
Paulo Vargas Moniz, Shahram Jalalzadeh
doaj +1 more source
Fractional Calculus of Variations for Double Integrals [PDF]
We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is ...
Odzijewicz, Tatiana+1 more
core +3 more sources