Results 81 to 90 of about 15,176,596 (284)

Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives [PDF]

Sahand Communications in Mathematical Analysis
This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions.
Takieddine Zeghida, Rabah Khaldi, Assia Guezane-Lakoud   +2 more
doaj   +1 more source

Spatial biology in cancer epigenetics

Molecular Oncology, EarlyView.
Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
wiley   +1 more source

Linear, second-order problems with Sturm-Liouville-type multi-point boundary conditions

Electronic Journal of Differential Equations, 2011
We consider the linear eigenvalue problem \tag{1} -u" = λu, \quad \text{on $(-1,1)$}, where $λ\in \mathbb{R}$, together with the general multi-point boundary conditions \tag{2} α_0^\pm u(\pm 1) + β_0^\pm u'(\pm 1) = \sum^{m^\pm}_{i=1} α^\pm_i u(η^\pm_i) + \sum_{i=1}^{m^\pm} β^\pm_i u'(η^\pm_i). We also suppose that: α_0^\pm \ge 0, \quad α_0^\pm + |β_0^\
openaire   +4 more sources

Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi-point boundary condition via Caputo derivative

Advances in Difference Equations, 2019
We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj   +1 more source

Intrapatient tumour heterogeneity and clonal evolution in an autopsy study of metastatic salivary gland cancer

Molecular Oncology, EarlyView.
Tumour heterogeneity and clonal evolution of metastatic salivary gland cancer were evaluated in two patients with adenoid carcinoma and one patient with myoepithelial carcinoma. Radiology‐guided autopsy enabled multi‐region sampling (total samples n = 149), followed by whole‐genome sequencing and phylogenetic reconstruction (17 tumour samples, 4–7 per ...
Gerben Lassche, Niels J. van Ruitenbeek, Charlotte Adang, Luke O'Gorman, Pui Yuen Lee, Willemijn M. Klein, Adriana C. H. van Engen‐van Grunsven, Jack A. Schalken, Sander Bervoets, Gerald W. Verhaegh, Carla M. L. van Herpen   +10 more
wiley   +1 more source

On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions [PDF]

Fractional Differential Calculus, 2019
Summary: Existence of solutions for two classes of fractional integro-differential inclusions with nonlocal multi-point boundary conditions is investigated in the case when the values of the set-valued map are not convex.
openaire   +1 more source

Boundary-Aware Multi-Point Preview Control: An Algorithm for Autonomous Articulated Mining Vehicles Operating in Highly Constrained Underground Spaces

Algorithms
To achieve the automation and intelligence of mining equipment, it is essential to address the challenge of autonomous driving, with the core task being how to navigate safely from the starting point to the mining area endpoint.
Shuo Huang, Yiting Kang, Jue Yang, Xiao Lv, Ming Zhu   +4 more
doaj   +1 more source

Existence of positive solutions for a singular fractional boundary value problem

Nonlinear Analysis, 2017
We study the existence of positive solutions for a nonlinear Riemann–Liouville fractional differential equation with a sign-changing nonlinearity, subject to multi-point fractional boundary conditions.
Johnny Henderson, Rodica Luca
doaj   +1 more source

ADP‐ribosylation: An emerging regulator of the epigenome

Molecular Oncology, EarlyView.
ADP‐ribosylation has emerged as a dynamic epigenetic signaling mechanism that modifies histones and chromatin‐associated proteins. Through coordinated PARylation and MARylation, it integrates with other histone modifications to regulate chromatin structure, transcription factor activity, and gene expression, influencing genome function and disease ...
Cristel V. Camacho, Chenqian Liu, W. Lee Kraus   +2 more
wiley   +1 more source

Solvability of a higher-order multi-point boundary value problem at resonance [PDF]

, 2011
summary:Based on the coincidence degree theory of Mawhin, we get a new general existence result for the following higher-order multi-point boundary value problem at resonance \[ \displaylines { x^{(n)}(t)=f(t, x(t), x'(t),\cdots , x^{(n-1)}(t)),\quad t ...
Du, Zengji, Zhang, Qin, Lin, Xiaojie
core   +1 more source