Results 61 to 70 of about 6,406,771 (368)
Maximum principle for stable operators
Mathematische Nachrichten, 2023 AbstractWe prove a weak maximum principle for nonlocal symmetric stable operators including the fractional Laplacian. The main focus of this work is on minimal regularity assumptions of the functions under consideration.
Grube, Florian, Hensiek, Thorben
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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 +14 more
wiley +1 more source
Hopf maximum principle revisited
Electronic Journal of Differential Equations, 2015 A weak version of Hopf maximum principle for elliptic equations in divergence form $$ \sum_{i,j=1}^N\partial_i(a_{ij}(x)\partial_ju)=0 $$ with Holder continuous coefficients $a_{ij}$ was shown in [3], in the two-dimensional case.
Jose C. Sabina de Lis
doaj
Second-order maximum principle controlled weakly singular Volterra integral equations [PDF]
Archives of Control SciencesThis work studies a class of singular Volterra integral equations that are (controlled) and can be applied to memory-related problems. For optimum controls, we prove a second-order Pontryagin type maximal principle.
Jasarat J. Gasimov, Nazim I. Mahmudov
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Combining experiments and simulations using the maximum entropy principle. [PDF]
PLoS Computational Biology, 2014 A key component of computational biology is to compare the results of computer modelling with experimental measurements. Despite substantial progress in the models and algorithms used in many areas of computational biology, such comparisons sometimes ...
Wouter Boomsma +2 more
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Principal eigenvalues for k-Hessian operators by maximum principle methods
Mathematics in Engineering, 2021 For fully nonlinear $k$-Hessian operators on bounded strictly $(k-1)$-convex domains $\Omega$ of $\R^N$, a characterization of the principal eigenvalue associated to a $k$-convex and negative principal eigenfunction will be given as the supremum over ...
Isabeau Birindelli, Kevin R. Payne
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Molecular Oncology, EarlyView.Trastuzumab‐deruxtecan, a HER2‐targeting antibody‐drug conjugate, shows promising antitumor activity in head and neck squamous cell carcinoma with low HER2 expression. In vitro and in vivo studies demonstrated dose‐dependent cell death and tumor growth reduction in low HER2‐expressing cell lines, which correlated with drug accumulation measured using a
Abdullah Bin Naveed +8 more
wiley +1 more source
Molecular Oncology, EarlyView.Human cytomegalovirus infection is common in normal prostate epithelium, prostate tumor tissue, and prostate cancer cell lines. CMV promotes cell survival, proliferation, and androgen receptor signaling. Anti‐CMV pharmaceutical compounds in clinical use inhibited cell expansion in prostate cancer models in vitro and in vivo, motivating investigation ...
Johanna Classon +13 more
wiley +1 more source
Pontryagin Maximum Principle for Incommensurate Fractional-Orders Optimal Control Problems
Mathematics, 2023 We introduce a new optimal control problem where the controlled dynamical system depends on multi-order (incommensurate) fractional differential equations.
Faïçal Ndaïrou, Delfim F. M. Torres
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Markov processes follow from the principle of Maximum Caliber
, 2011 Markov models are widely used to describe processes of stochastic dynamics. Here, we show that Markov models are a natural consequence of the dynamical principle of Maximum Caliber.
Brockwell P. J. +6 more
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