Results 51 to 60 of about 673 (299)
Resolvent expansion for the Schrödinger operator on a graph with infinite rays [PDF]
, 2017 We consider the Schrödinger operator on a combinatorial graph consisting of a finite graph and a finite number of discrete half-lines, all jointed together, and compute an asymptotic expansion of its resolvent around the threshold 0.
Ito, Kenichi +3 more
core +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 +4 more
wiley +1 more source
Properties of the generalized f-projection operator and its applications in Banach spaces [PDF]
, 2007 In this paper, we prove some properties of the generalized f-projection operator in Banach spaces and show an interesting relation between the generalized f-projection operator and the resolvent operator for the subdifferential of a proper, convex and ...
Wu, Ke-qing, Huang, Nan-jing
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Abstract and Applied Analysis, 2014 We introduce and study a new general system of nonlinear variational inclusions involving generalized m-accretive mappings in Banach space. By using the resolvent operator technique associated with generalized m-accretive mappings due to Huang and Fang ...
Ting-jian Xiong, Heng-you Lan
doaj +1 more source
Astrocyte heterogeneity in brain metastases
Molecular Oncology, EarlyView.Astrocytes emerge as pivotal regulators of metastatic colonization, survival, immune remodeling, and therapy response associated with an increasing heterogeneity that requires spatially and longitudinally resolved approaches to uncover regulatory programs and guide context‐specific therapies.
Carolina Hernández‐Oliver +2 more
wiley +1 more source
Singularly perturbed rank one linear operators
Математичні Студії, 2021 The basic principles of the theory of singularly perturbed self-adjoint operators are generalized to the case of closed linear operators with non-symmetric perturbation of rank one.
M.E. Dudkin, O. Yu. Dyuzhenkova
doaj +1 more source
FEBS Open Bio, EarlyView.Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source
Completely generalized multivalued nonlinear quasi-variational inclusions
International Journal of Mathematics and Mathematical Sciences, 2002 We introduce and study a new class of completely generalized multivalued nonlinear quasi-variational inclusions. Using the resolvent operator technique for maximal monotone mappings, we suggest two kinds of iterative algorithms for solving the completely
Zeqing Liu +3 more
doaj +1 more source
The behavior of the analytically continued resolvent operator near 𝜅=0 and an application to energy decay [PDF]
, 1992 We shall study the behavior of the analytically continued resolvent operator R + ( κ ) {R^ + }(\kappa ) for perturbations of − Δ -
Kazuhiro Yamamoto
core +1 more source