“…Our results represent the first octave-spanning tunable source in nanophotonics extending into the mid-infrared, which can be useful for numerous integrated photonic applications.…”
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“…Pax3 has numerous integral functions in embryonic tissue morphogenesis and knowledge of its complex function in cells of adult tissue continues to unfold. …”
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“…Conceived in 1943, completed in 1945, and decommissioned in 1955, ENIAC (the Electronic Numerical Integrator and Computer) was the first general-purpose programmable electronic computer. …”
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“…Moreover, applying the so-called quasi-static approximation yields exact-solution results that are orders of magnitude different from the numerically integrated solutions of the full system, suggesting that these approximations are not applicable here.…”
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“…Examining metabolism in planarians is important because the regenerative process is dependent on numerous integrated metabolic pathways, which provide the energy required for tissue repair as well as the ability to synthesize the cellular building blocks needed to form new tissue. …”
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“…Numerous integrals of the fundamental frequency are known as harmonics and can be found in power systems or electrical circuitry systems. …”
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“…The developed non-linear ordinary differential equations are then numerically integrated via Runge-Kutta Fehlberg method after changing into initial value problems. …”
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“…The model computes instability estimates up to [Formula: see text] times faster than a numerical integrator, and unlike previous efforts provides confidence intervals on its predictions. …”
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“…For systems described by nonlinear equations, the conventional approach is to first numerically integrate the model, and then, in a second a posteriori step, check for consistency with experimental constraints. …”
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“…[Image: see text] When simulating molecular systems using deterministic equations of motion (e.g., Newtonian dynamics), such equations are generally numerically integrated according to a well-developed set of algorithms that share commonly agreed-upon desirable properties. …”
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“…Equations of motion with absorbing boundary conditions are presented and numerically integrated using FlexPDE software, based on the finite element method. …”
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“…We study the optimal design of numerical integrators for dissipative systems, for which there exists an underlying thermodynamic structure known as GENERIC (general equation for the nonequilibrium reversible–irreversible coupling). …”
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“…By using parametrized integral functions, the number of requried numerical integrations is reduced by a factor of 10(2) − 10(9) depending on the specific problem under consideration. …”
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“…Current-density pathways and their strengths were determined by numerically integrating the MICD passing through selected planes that cross chemical bonds or molecular rings. …”
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“…The Golgi-associated PDZ- and coiled-coil motif-containing (GOPC) protein controls the intracellular trafficking of numerous integral membrane proteins. Knockdown of GOPC increases activation of the mitogen-activated protein kinase-extracellular signal-regulated kinase 1/2 pathway and cancer cell progression in colorectal cancer. …”
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“…However, predicting data requires solving a system of partial differential equations (PDEs), which usually have no closed‐form solution, and repeated numerical integrations as part of an adaptive estimation procedure are computationally expensive. …”
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“…This analysis shows the importance of dealing with hyperbolic models, rather than drift-diffusion ones. Moreover, we numerically integrate the kinetic transport equations in a two-dimensional setting in order to investigate qualitatively various scenarios. …”
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“…One example of a large dataset in astronomy is that of numerically integrated time series asteroid orbital elements from a time span of millions to billions of years. …”
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“…The ‘nut-and-bolt’ mechanism of a bacteriophage-bacteria flagellum translocation motion is modelled by numerically integrating the 3D Stokes equations using a Finite-Element Method (FEM). …”
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“…Numerous integral membrane proteins are degraded in the mammalian ER. …”
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