Comparison of Numerical Methods for Solving Initial Value Problems for Stiff Differential Equations
Special classes of Initial value problem of differential equations termed as stiff differential equations occur naturally in a wide variety of applications including the studies of spring and damping systems, chemical kinetics, electrical circuits, and so on.
Azad Rahman, Sharaban Thohura
openaire +2 more sources
Higher-order finite-difference methods for partial differential equations [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
core +5 more sources
Leucine‐rich glioma inactivated 1 (LGI1) is a ganglioside‐binding protein
Neuronal hyperexcitability associated with a decrease/absence of the extracellular protein LGI1 has been suggested to be primarily due to the downregulation of Kv1 channel expression. The molecular mechanisms underlying this decrease have not yet been elucidated.
Kévin Debreux +7 more
wiley +1 more source
On the Loss of L-stability of the Implicit Euler Method for a Linear Problem
A number of important applied problems of chemical kinetics, biophysics, theory of electrical circuits are described by systems of stiff ordinary differential equations with given initial conditions.
M.V. Bulatov, L.S. Solovarova
doaj
Some General Linear Methods for the Numerical Solution of Non-Stiff IVPs in ODEs
In this paper, we consider the construction of explicit General Linear Methods (GLM) for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equations (ODEs).
R. I. Okuonghae +2 more
doaj +1 more source
A context‐dependent modulatory role for eIF6 in acquired resistance to vemurafenib in melanoma
Acquired resistance to vemurafenib upregulates the translation factor eIF6 in melanoma cells. Silencing eIF6 in resistant cells reduces proliferation and partially restores drug sensitivity, whereas its overexpression increases sensitivity across melanoma lines regardless of BRAF status, via modulation of mTOR, S6K, and MAPK signaling.
George Kyriakopoulos +9 more
wiley +1 more source
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
An efficient numerical algorithm for the transient analysis of high-frequency non-linear circuits [PDF]
The paper proposes a new approach for the discrete-time integration of non-linear differential equations that describe the behaviour of high-frequency circuits, in particular those containing complex equivalent-circuit models of microwave transistor ...
Condon, Marissa +5 more
core +2 more sources
Combining osimertinib with the STING agonist ADU‐S100 activates innate and adaptive immunity to overcome the non‐inflamed microenvironment of Egfr‐mutant lung cancer. This combination increases NK and CD8+ T‐cell infiltration, associated with activation of the STING‐IRF3 pathway and local immunogenic cell death.
Jun Nishimura +19 more
wiley +1 more source
On Local Relaxation Methods and Their Application to Convection-Diffusion Equations [PDF]
This paper discusses local relaxation (LR) methods which can be regarded as generalizations of the successive overrelaxation (SOR) method. The difference is that within an LR method the relaxation factor is allowed to vary from equation to equation.
Veldman, Arthur E.P., +3 more
core +2 more sources

