Results 51 to 60 of about 36,394 (307)

Patient-Derived Explants as a Precision Medicine Patient-Proximal Testing Platform Informing Cancer Management

open access: yesFrontiers in Oncology, 2021
Precision medicine approaches that inform clinical management of individuals with cancer are progressively advancing. Patient-derived explants (PDEs) provide a patient-proximal ex vivo platform that can be used to assess sensitivity to standard of care ...
Abby R. Templeton   +46 more
doaj   +1 more source

A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs [PDF]

open access: yes, 2007
Purpose -- To present a new collocation method for numerically solving partial differential equations (PDEs) in rectangular domains. Design/methodology/approach -- The proposed method is based on a Cartesian grid and a one-dimensional integrated-radial ...
Mai-Duy, N., Tanner, R. I.
core   +1 more source

Fractional Dissipative PDEs

open access: yes, 2023
In this chapter we provide an introduction to fractional dissipative partial differential equations (PDEs) with a focus on trying to understand their dynamics.
Akagi, Goro   +6 more
core   +1 more source

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

open access: yesAdvanced Functional Materials, EarlyView.
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley   +1 more source

Performance of GRKM-method for solving classes of ordinary and partial differential equations of sixth-orders

open access: yesOpen Engineering
A general quasilinear sixth-order ordinary differential equation (ODE) is an important class of ODEs. The primary objective of this study is to establish a numerical method for solving a general class of quasilinear sixth-order partial differential ...
Mechee Mohammed S.   +2 more
doaj   +1 more source

Long‐Range Coordination Environment Modulates Single‐Atom Local States and Systemic Impact on CO2 Photoconversion

open access: yesAdvanced Functional Materials, EarlyView.
Terminal groups on Cu porphyrins modulate the electronic states of single‐atom Cu centers through a long‐range electronic effect, without altering the Cu coordination geometry. Meanwhile, a multi‐descriptor framework is established that incorporates porphyrin regulation, hybrid catalyst properties, and CO2 photoreduction capabilities.
Yi Zhang   +13 more
wiley   +1 more source

Approximate Symmetries and Conservation Laws for Mechanical Systems Described by Mixed Derivative Perturbed PDEs

open access: yes, 2023
This article focuses on developing and applying approximation techniques to derive conservation laws for the Timoshenko–Prescott mixed derivatives perturbed partial differential equations (PDEs).
Shamaoon A.   +3 more
core   +1 more source

PDE-Controller: LLMs for Autoformalization and Reasoning of PDEs

open access: yesCoRR
While recent AI-for-math has made strides in pure mathematics, areas of applied mathematics, particularly PDEs, remain underexplored despite their significant real-world applications. We present PDE-Controller, a framework that enables large language models (LLMs) to control systems governed by partial differential equations (PDEs).
Mauricio Soroco   +5 more
openaire   +3 more sources

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

open access: yesAdvanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia   +3 more
wiley   +1 more source

On integrable conservation laws

open access: yes, 2014
We study normal forms of scalar integrable dispersive (non necessarily Hamiltonian) conservation laws via the Dubrovin-Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrised by infinitely many arbitrary
Moro, Antonio   +2 more
core   +1 more source

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