Crack Propagation as a Free Boundary Problem [PDF]
A newly developed sharp interface model describes crack propagation by a phase transition process. We solve this free boundary problem numerically and obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic effects are taken into account.
Müller-Krumbhaar, H. +3 more
openaire +4 more sources
On Computation of Prefactor of Free Boundary in One Dimensional One-Phase Fractional Stefan Problems
We consider the melting of a one-dimensional domain (x≥0), initially at the melting temperature u=0, by fixing the boundary temperature to a value u(0,t)=U0>0—the so called Stefan melting problem. The governing transient heat-conduction equation involves
Nahuel Caruso +3 more
doaj +1 more source
A Wolbachia infection model with free boundary
Scientists have been seeking ways to use Wolbachia to eliminate the mosquitoes that spread human diseases. Could Wolbachia be the determining factor in controlling the mosquito-borne infectious diseases? To answer this question mathematically, we develop
Yunfeng Liu +3 more
doaj +1 more source
Calpain small subunit homodimerization is robust and calcium‐independent
Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
wiley +1 more source
Numerical implementation of the one-dimensional microscopic model of in-situ leaching
This publication is devoted to the numerical implementation of the mathematical model on a microscopic level of in-situ leaching process in the case of one space variable.
А. С. Жумали
doaj
Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
Lozenge Tilings with Free Boundaries [PDF]
27 pages, 4 figures; version 2-- typos fixed, improved proofs and computations, incorporated referee's comments.
openaire +3 more sources
General hyperbolic Kirchhoff model for the free vibration of elastic string on a flat surface
In this work, we investigate the existence of weak solutions for the general form of the hyperbolic Kirchhoff-type problem involving a free boundary modelling the free vibration of an elastic string on a flat surface.
Fatima Ezahra Bentata, Ievgen Zaitsev
doaj +1 more source
An Integral Equation Approach to the Irreversible Investment Problem with a Finite Horizon
This paper studies an irreversible investment problem under a finite horizon. The firm expands its production capacity in irreversible investments by purchasing capital to increase productivity.
Junkee Jeon, Geonwoo Kim
doaj +1 more source
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source

