Results 211 to 220 of about 1,729,322 (384)

Dynamics of cell growth: Exponential growth and division after a minimum cell size

Partial Differential Equations in Applied Mathematics
In this paper, we consider a mathematical model for cell division using a Pantograph-type nonlocal partial differential equation, accompanied by relevant initial and boundary conditions. This formulation results in a nonlocal singular eigenvalue problem.
M. Mohsin, A.A. Zaidi, B. van Brunt
doaj  

Solving p-Laplacian equations on complete manifolds

Electronic Journal of Differential Equations, 2006
Using a reduced version of the sub and super-solutions method, we prove that the equation $Delta _{p}u+ku^{p-1}-Ku^{p^{ast }-1}=0$ has a positive solution on a complete Riemannian manifold for appropriate functions $k,K:Mo mathbb{R}$.
Mohammed Benalili, Youssef Maliki
doaj  

Linear Transformations Between Hilbert Spaces and the Application of This Theory to Linear Partial Differential Equations [PDF]

, 1935
Francis J. Murray
openalex   +1 more source

A Python package for fast GPU‐based proton pencil beam dose calculation

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose Open‐source GPU‐based Monte Carlo (MC) proton dose calculation algorithms provide high speed and unparalleled accuracy but can be complex to integrate with new applications and remain slower than GPU‐based pencil beam (PB) methods, which sacrifice some physical accuracy for sub‐second plan calculation.
Mahasweta Bhattacharya, Calin Reamy, Heng Li, Junghoon Lee, William T. Hrinivich   +4 more
wiley   +1 more source

Creep Characterization of Inconel 718 Lattice Metamaterials Manufactured by Laser Powder Bed Fusion

Advanced Engineering Materials, EarlyView., 2023
Herein, the creep characteristics of additively manufactured Inconel 718 metamaterials are investigated. The creep behavior of metamaterials and the effects of microstructural defects are assessed, and the microstructure defects are accurately captured using Kachanov's creep damage model.
Akash Singh Bhuwal, Yong Pang, Ian Maskery, Ian Ashcroft, Wei Sun, Tao Liu   +5 more
wiley   +1 more source

Some Linear Operators in the Theory of Partial Differential Equations [PDF]

, 1950
Stefan Bergman, M. Schiffer
openalex   +1 more source

Optical neural engine for solving scientific partial differential equations. [PDF]

Nat Commun
Tang Y, Chen R, Lou M, Fan J, Yu C, Nonaka A, Yao Z, Gao W.   +7 more
europepmc   +1 more source

Learning emergent partial differential equations in a learned emergent space. [PDF]

Nat Commun, 2022
Kemeth FP, Bertalan T, Thiem T, Dietrich F, Moon SJ, Laing CR, Kevrekidis IG.   +6 more
europepmc   +1 more source

Professionalism skills education in medical physics residency: Current state and perceived importance

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose The purpose of this study was to collect data on current practices for teaching and assessing professionalism in CAMPEP‐accredited residency programs. Methods A survey of 21 questions was sent to 160 program directors (PDs) of CAMPEP‐accredited residency programs.
Anna Rodrigues, Leah Schubert, Laura Padilla, Kristi Hendrickson, Hania Al‐Hallaq, Irina Vergalasova   +5 more
wiley   +1 more source

Conceptual Design and Parametric Optimization of a New Multileveled Horsetail Structure for Bicycle Helmets

Advanced Engineering Materials, EarlyView., 2023
This study aims to explore the feasibility of using a structure inspired by the features of horsetail and human spine as the potential helmet liner, targeting at mitigation of acceleration‐induced injuries. A parametric study is conducted to investigate the effect of individual geometrical variables in the design, indicating its capability to reduce ...
Bing Leng, Dong Ruan, Shanqing Xu, Kwong Ming Tse   +3 more
wiley   +1 more source