Results 71 to 80 of about 39,621 (275)

Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems [PDF]

, 2018
The present article presents a summarizing view at differential-algebraic equations (DAEs) and analyzes how new application fields and corresponding mathematical models lead to innovations both in theory and in numerical analysis for this problem class ...
Kleinert, Jan, Simeon, Bernd
core   +1 more source

Mechanoregulatory Effects of Cell‐Scale Microwells on Epithelial Cell Phenotype

Advanced Functional Materials, EarlyView.
In small polycaprolactone microwells, A549 epithelial cells span well edges, in contrast to cells growing on flat substrates. Focal adhesion sites (yellow) concentrate at topographic boundaries, while cytoskeletal tension (magenta stress fibers) is transmitted to the nucleus (blue), reducing nuclear sphericity.
Ruiwen He, Wang Sik Lee, Phattadon Yajan, Aaron Lee, Mauro Sousa de Almeida, Sandeep Keshavan, Jozef Adamcik, Céline Loussert‐Fonta, Dimitri Vanhecke, Barbara Rothen‐Rutishauser, Alke Petri‐Fink   +10 more
wiley   +1 more source

On the Cauchy Problem for First Order Discontinuous Ordinary Differential Equations

Journal of Mathematical Analysis and Applications, 2001
The author studies the initial value problem \[ x'(t)=f(t,x(t)) \text{ for a.e. }t\in [0,1], \quad x(0)=0, \] where \(f:[0,1] \times \mathbb{R} \to \mathbb{R}\) is not necessarily continuous. He gives conditions for the existence of extremal solutions (in the Carathéodory sense) \(x^\star\) and \(x^{\star\star}\) which satisfy \(x^\star \leq x\) and ...
openaire   +1 more source

Explicit local time-stepping methods for time-dependent wave propagation [PDF]

, 2012
Semi-discrete Galerkin formulations of transient wave equations, either with conforming or discontinuous Galerkin finite element discretizations, typically lead to large systems of ordinary differential equations.
Grote, Marcus, Mitkova, Teodora
core   +1 more source

Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges

Advanced Functional Materials, EarlyView.
Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley   +1 more source

Role of the Harnack extension principle in the Kurzweil-Stieltjes integral [PDF]

Mathematica Bohemica
In the theories of integration and of ordinary differential and integral equations, convergence theorems provide one of the most widely used tools. Since the values of the Kurzweil-Stieltjes integrals over various kinds of bounded intervals having the ...
Umi Mahnuna Hanung
doaj   +1 more source

Strain‐Programmable Luminescent Adhesive Patch With Tartrazine‐Mediated Optical Skin Clearing for Photochemical Tissue Bonding

Advanced Functional Materials, EarlyView.
We propose a suture‐complementary approach that integrates optical skin clearing with a strain‐programmable luminescent adhesive patch. Hyaluronic acid promotes transdermal delivery of tartrazine to improve optical clearing and stabilizes its interaction with a photosensitizer. Optical clearing increases the penetration depth of visible light into skin,
Seong‐Jong Kim, Kyungjoo Jo, Kwanghyeon Park, Jun Hee Kim, Jong Hyeong Cho, Inhoo Choi, Sei Kwang Hahn   +6 more
wiley   +1 more source

From Continuous to Discontinuous Transitions in Social Diffusion

Frontiers in Physics, 2018
Models of social diffusion reflect processes of how new products, ideas, or behaviors are adopted in a population. These models typically lead to a continuous or a discontinuous phase transition of the number of adopters as a function of a control ...
Paula Tuzón, Juan Fernández-Gracia, Víctor M. Eguíluz   +2 more
doaj   +1 more source

Conformal and covariant Z4 formulation of the Einstein equations: strongly hyperbolic first-order reduction and solution with discontinuous Galerkin schemes

, 2018
We present a strongly hyperbolic first-order formulation of the Einstein equations based on the conformal and covariant Z4 system (CCZ4) with constraint-violation damping, which we refer to as FO-CCZ4. As CCZ4, this formulation combines the advantages of
Dumbser, Michael, Guercilena, Federico, Koeppel, Sven, Rezzolla, Luciano, Zanotti, Olindo   +4 more
core   +1 more source

From Clinic to Computation: Multiscale Bioengineering Strategies for Durable Biological Aortic Valve Replacements

Advanced Functional Materials, EarlyView.
Bioprosthetic aortic valves have revolutionized the treatment of aortic stenosis, but their durability is limited by structural valve deterioration (SVD). This review focuses on the pericardial tissue at the heart of these valves, examining how its mechanical properties and calcification drive fatigue and failure.
Gabriele Greco, Pierfrancesco Gaziano, Serena Anglese, Simone Morganti, Carlo de Vincentiis, Ferdinando Auricchio, Michele Marino, Michele Conti   +7 more
wiley   +1 more source