Results 61 to 70 of about 60,664 (263)

REVISITING THE DERIVATION OF THE FRACTIONAL DIFFUSION EQUATION [PDF]

Fractals, 2002
The fractional diffusion equation is derived from the master equation of continuous time random walks (CTRWs) via a straightforward application of the Gnedenko-Kolmogorov limit theorem. The Cauchy problem for the fractional diffusion equation is solved in various important and general cases.
E. Scalas, R. Gorenflo, F. Mainardi, RABERTO, MARCO   +3 more
openaire   +10 more sources

Salmonella lipopolysaccharide‐containing supported lipid bilayers as platforms to study bacteriophage interactions

FEBS Letters, EarlyView.
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace, Alyssa Borges, Charles Arnaud, Tove Karlsson, Nina K. Bröker, Stefanie Barbirz, Marta Bally   +6 more
wiley   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

FEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar, Xinqi Yan, Lucas F. Jansen Klomp, Stefano Schivo, Janine N. Post   +4 more
wiley   +1 more source

Investigating transcription factor dynamics in health and disease using FRAP

FEBS Letters, EarlyView.
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj, Carolina Vazquez Garzon, Jose Joaquin Velasco, Janine N. Post   +3 more
wiley   +1 more source

Fractional order continuity of a time semi-linear fractional diffusion-wave system

Alexandria Engineering Journal, 2020
In this work, we consider the time-fractional diffusion equations depend on fractional orders. In more detail, we study on the initial value problems for the time semi-linear fractional diffusion-wave system and discussion about continuity with respect ...
Nguyen Duc Phuong, Luu Vu Cam Hoan, Erdal Karapinar, Jagdev Singh, Ho Duy Binh, Nguyen Huu Can   +5 more
doaj   +1 more source

Tensor FEM for Spectral Fractional Diffusion [PDF]

Foundations of Computational Mathematics, 2018
We design and analyze several Finite Element Methods (FEMs) applied to the Caffarelli-Silvestre extension that localizes the fractional powers of symmetric, coercive, linear elliptic operators in bounded domains with Dirichlet boundary conditions. We consider open, bounded, polytopal but not necessarily convex domains $Ω\subset \mathbb{R}^d$ with $d=1 ...
Lehel Banjai, Jens Markus Melenk, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado, Christoph Schwab   +5 more
openaire   +4 more sources

Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions

FEBS Letters, EarlyView.
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang, Hyo Been Jin, Chang Min Kim, So Yeon Lee, Hyun Ho Park   +4 more
wiley   +1 more source

Dimethyl fumarate combined with cisplatin at subcytotoxic doses sensitizes cervical cancer toward ferroptosis and apoptosis through GSH restriction and p53 (re)activation

Molecular Oncology, EarlyView.
Dimethyl fumarate (DMF) reduces growth of HPV‐positive cervical cancer spheroids and induces ferroptosis in cervical cancer cells via blocking SLC7A11/Glutathione (GSH) axis. Combination of subcytotoxic doses of DMF and cisplatin (CDDP) further suppresses spheroid growth and drives cell death in 2D culture models.
Carolina Punziano, Giuseppina Minopoli, Simona Romano, Laura Marrone, Katia Aquilano, Maria Lina Tornesello, Raffaella Faraonio   +6 more
wiley   +1 more source

Time-fractional cocaine–heroin dynamics with spatially heterogeneous diffusion: analysis and fractional Parker–Sochacki approximation

Frontiers in Applied Mathematics and Statistics
Fractional reaction–diffusion models provide a powerful framework for describing dynamical systems in which memory effects and spatial interactions are significant.
Saheed Ojo Akindeinde, Ramoshweu Solomon Lebelo, Saidu Daudu Yakubu, Adebayo Olusegun Adewumi   +3 more
doaj   +1 more source

External Fractional-Order Gradient Vector Perona-Malik Diffusion for Sinogram Restoration of Low-Dosed X-Ray Computed Tomography

Advances in Mathematical Physics, 2013
Existing fractional-order Perona-Malik Diffusion (FOPMD) algorithms are defined as fully spatial fractional-order derivatives (FSFODs). However, we argue that FSFOD is not the best way for diffusion since different parts of spatial derivative play ...
Shaoxiang Hu
doaj   +1 more source