## What is/are Dynamics Framework?

Dynamics Framework - Using the standard fluctuational electrodynamics framework, we analytically calculate the radiative heat current between two thin metallic layers, separated by a vacuum gap.^{[1]}A key step in generating mechanistic interpretations within this computation through dynamics framework is to establish the link between network connectivity, dynamics and computation.

^{[2]}To achieve this objective, a number of equations of state and constitutive models required to close the governing equations are incorporated into the proposed smoothed particle hydrodynamics framework, including the Jones-Wilkins-Lee equation of state for explosive materials, the Gruneisen equation of state for metals, the elastic-perfectly plastic constitutive model for metals, and the elastoplastic and elasto-viscoplastic constitutive models for soils.

^{[3]}Most of the previous studies about the fluid-particle flows in Lagrangian hydrodynamics framework only focused on the dilute flow.

^{[4]}We construct a firm-dynamics framework to evaluate the impact of the enforcement of contracts between final goods producers and intermediate goods suppliers on firm life-cycle growth, technology accumulation, and aggregate productivity.

^{[5]}Empirical equations, thermodynamics frameworks, and neural network modeling have been developed to predict steel martensite start temperature, M s , but they might not tend to generalize well when composition includes a wide range of alloying elements.

^{[6]}Using f(T) gravitational theory, we construct modified cosmological models via the first law of thermodynamics by using the non-extensive thermodynamics framework, the effects of which are captured by the parameter δ.

^{[7]}The proposed material model is developed under the continuum damage mechanics and thermodynamics frameworks; therefore, thermodynamic-consistency in enforced and representative orthotropic damage variables describe anisotropic damage nature.

^{[8]}It is shown that such class of problems should be analyzed in dynamics framework.

^{[9]}The inverse transfer of magnetic helicity is investigated through direct numerical simulations of large-scale mechanically driven turbulent flows in the isothermal ideal magnetohydrodynamics framework.

^{[10]}In a classical electrodynamics framework, a plasmon is defined as a collective, coherent oscillation of the conduction electrons of the material.

^{[11]}We combine this model with an existing deadbanding strategy published by the NASA JPL S5 Team to define a dynamics framework for deadbanding simulations.

^{[12]}We study and analyse the conformal transformations of different conservation laws in the spin hydrodynamics framework.

^{[13]}Moreover, the rate-dependent viscoelastic and viscoplastic response of the polymer matrix phase is modelled through a phenomenological model consisting of four Kelvin-Voigt branches and a viscoplastic branch under the thermodynamics framework.

^{[14]}For completeness, we also discuss how interference affects photon transport in resonant devices by an example calculation using the quantized fluctuational electrodynamics framework, paving way for self-consistent modeling tools that also account for wave-optical effects.

^{[15]}Using a human ecodynamics framework, we further consider how both social factors and external environmental forces may mediate human choices, such as the economic decision to use bone for fuel or render bone grease.

^{[16]}Spectroscopic analysis of near-field thermal emission thus requires a numerically exact fluctuational electrodynamics framework for modeling probe-surface interactions.

^{[17]}It can also serve as a basis for the development of more refined models in a full quantum electrodynamics framework.

^{[18]}MethodsThe biomechanical model that simulates pneumoperitoneum was implemented within the GPU-accelerated NVIDIA FleX position-based dynamics framework.

^{[19]}Based on the test results, a uniaxial damage plastic constitutive relation of the RAC is proposed within the continuous thermodynamics framework.

^{[20]}Structured nano-particle emitter assemblies (quantum-dot ring and buckminsterfullerene) are analysed using a quantum-electrodynamics framework and validated using tissue model simulations.

^{[21]}We present a global 3D radiative hydrodynamics framework using the FARGOCA-code.

^{[22]}In recent years, it has become possible to accelerate this process through the coupling of the CALculation of PHAse Diagram (CALPHAD) computational thermodynamics framework with high-throughput quantum mechanical calculations.

^{[23]}Finally, we use this optimized RC to calculate nucleation rates in the infrequent metadynamics framework and show that it leads to a more accurate estimate of the nucleation rate with four orders of magnitude acceleration relative to unbiased MD.

^{[24]}The purpose of this proof-of-principle study is to show that the IRT model is straightforward to implement once one has access to the dyadic Green's functions, and that it produces solutions that satisfy the more general quantized fluctuational electrodynamics framework.

^{[25]}This contribution demonstrates a continuum-mechanics-based method which yields the possibility of material orientation tracking within the smoothed particle hydrodynamics framework.

^{[26]}We therefore develop a combined socio-economic model, which is based on the sociodynamics framework, for the household-level adoption of photovoltaics (PV).

^{[27]}

## Fluid Dynamics Framework

Therefore, authors utilized the computational fluid dynamics framework to delineate effect of process variables on the catalytic hydrodeoxygenation of 2-hydroxybenzaldehyde (2-HB) which is a bio-oil model compound in this study.^{[1]}A modified hybrid geotechnical-fluid dynamics framework for estimating the horizontal impact force is proposed by considering the effects of the pipeline-seabed gap and pipeline diameter, which is validated with existing experimental datasets.

^{[2]}A computational fluid dynamics framework is proposed to directly simulate the capillary and hydrodynamic effects of the interfacial flow that is responsible for primitive formation.

^{[3]}This Element presents a unified computational fluid dynamics framework from rarefied to continuum regimes.

^{[4]}The findings offer an opportunity to verify the best-estimated thermal hydraulic code treatment of the natural circulation process and provide insight into the extended use of the computational fluid dynamics framework in potential designs and operations.

^{[5]}The model obtained depends only on blade geometry information and the local flow conditions, making its implementation in a typical computational fluid dynamics framework straightforward.

^{[6]}It is implemented and publicly available within the open-source computational fluid dynamics framework foam-extend.

^{[7]}To enable the development of new non-invasive diagnostic methods, we developed an innovative image-based patient-specific computational fluid dynamics framework for patients with C3VD who undergo TAVR to quantify metrics of: (1) global circulatory function; (2) global cardiac function as well as (3) local cardiac fluid dynamics.

^{[8]}Finally, the investigation suggests that the Navier–Stokes equations along with a near-optimal solver provide an efficient computational fluid dynamics framework for analyzing fluid flow in a wellbore and its surrounding region.

^{[9]}Knudsen Layer formulation is incorporated within an open source computational fluid dynamics framework, OpenFOAM.

^{[10]}Investigations are performed experimentally as well as computationally, within a computational fluid dynamics framework.

^{[11]}Title of dissertation: ADVANCING THE MULTI-SOLVER PARADIGM FOR OVERSET CFD TOWARD HETEROGENEOUS ARCHITECTURES Dylan Jude Doctor of Philosophy, 2019 Dissertation directed by: Professor James Baeder Department of Aerospace Engineering A multi-solver, overset, computational fluid dynamics framework is developed for efficient, large-scale simulation of rotorcraft problems.

^{[12]}Knudsen Layer formulation is incorporated within an open source computational fluid dynamics framework, OpenFOAM.

^{[13]}

## System Dynamics Framework

A systems dynamics framework provides not only a language but also a set of methodological tools that can more easily operationalize existing multidisciplinary scientific evidence and conceptual frameworks on cumulative risks.^{[1]}Furthermore, Health System Dynamics Framework will be used to examine health system factors.

^{[2]}Furthermore, the system dynamics framework is utilized because it can model non-linear behavior between variables with a significant contribution to the system.

^{[3]}In this article, systemic risk is viewed within a system dynamics framework complemented by a resilience perspective in anticipating threats and making provisions for resources, responding in the face of uncertainty and foreseeing side-effects, monitoring critical indicators to assess progress and learning by doing.

^{[4]}This paper develops a system dynamics framework of a disease outbreak system covering various policies to evaluate their effectiveness in mitigating transmission and the resulting economic burden.

^{[5]}As a method use for model development, we utilize system dynamics framework based on consideration that system dynamics is a scientific framework for addressing complex and nonlinear feedback systems.

^{[6]}Moreover, in order to evaluate the overall performance in regards to the costs, a value index in the system dynamics framework is proposed.

^{[7]}A system dynamics framework has been used to develop the causal model.

^{[8]}Methods: System dynamics framework is utilized for the development of the model and scenarios.

^{[9]}We applied three theories (the World Health Organisation’s building blocks to strengthen health systems, van Olmen’s Health System Dynamics framework and Baral’s socio-ecological model for HIV risk) to understand and explain the differences between EMTCT-validated and non-validated countries.

^{[10]}

## Molecular Dynamics Framework

The molecular dynamics framework is first derived for general Hohenberg–Kohn density functional theory and it is then presented in explicit forms for thermal Hartree–Fock theory using a density matrix formalism, for self-consistent charge density functional tight-binding theory, and for general non-linear charge relaxation models that can be designed and optimized using modern machine learning methods.^{[1]}This new AIMC implementation provides a high-level nonadiabatic molecular dynamics framework for simulating photoexcited dynamics in complex molecular systems and experimentally relevant ultrafast spectroscopic probes, such as nonlinear coherent optical and X-ray signals.

^{[2]}We introduce a means to implement the interface potential approach for computing wetting properties within a molecular dynamics framework.

^{[3]}In a molecular dynamics framework, Cu-Zr metallic glass was rejuvenated by a thermal process composed of an isothermal heat treatment at a temperature above the glass transition temperature , followed by fast cooling.

^{[4]}To accelerate the search of efficient solid electrolytes for resistive switching devices, we developed parameters to describe copper-doped germanium sulfides based on ReaxFF, a reactive molecular dynamics framework.

^{[5]}In this manuscript we present a model for simulating active electrochemical systems using a classical molecular dynamics framework.

^{[6]}

## Adaptive Dynamics Framework

Using pair approximation, we derive analytical expressions for the invasion fitness of rare mutants in structured populations, which then yields a spatial adaptive dynamics framework.^{[1]}We simulate the evolution of PV rates via the adaptive dynamics framework for varying levels of selective pressures that act on the phage-resistant state.

^{[2]}Using pair approximation we derive analytical expressions for the invasion fitness of rare mutants in structured populations, which then yields a spatial adaptive dynamics framework.

^{[3]}We develop a new theoretical approach that goes beyond the Adaptive Dynamics framework, and allows us to explore the effect of high mutation rates on the stationary phenotypic distribution.

^{[4]}We implement the adaptive dynamics framework to predict evolutionary outcomes in this model.

^{[5]}Through use of the adaptive dynamics framework, the expected long-term behavior of the characteristic attribute which defines transport systems is examined.

^{[6]}

## Ecological Dynamics Framework

The Dynamics model is based on an Ecological Dynamics framework, combining Newell’s Constraints model, Self Determination Theory, and including feedback loops to define an autopoietic system.^{[1]}The ecological dynamics framework offers a rich, unifying perspective to understand and explain sports performance, providing an innovative perspective on talent development and motor learning, highlighting a nuanced transitioning between specificity and generality of practice and transfer, as needed by each individual (Button et al.

^{[2]}To bridge the gap between empirical research and applied practice, the present chapter informs about training concepts within the ecological dynamics framework that effectively promotes performance under stress.

^{[3]}Theoretically guided by an ecological dynamics framework, this perspective calls us to conceptualise ‘education’ in its etymological roots – ex-ducere – meaning ‘to lead’ an individual ‘out’ into the world.

^{[4]}Understanding constraints on sport performance from the complexity sciences paradigm: An ecological dynamics framework.

^{[5]}

## Population Dynamics Framework

Next, in a population dynamics framework, we exemplify the implications of phenotypic plasticity (both drug-induced and intrinsic stochastic switching) and/or non-genetic heterogeneity in promoting population survival in a mixture of sensitive and resistant cells, even in the absence of any cell-cell cooperation.^{[1]}Next, in a population dynamics framework, we exemplify the implications of phenotypic plasticity (both drug-induced and intrinsic stochastic switching) and/or non-genetic heterogeneity in promoting population survival in a mixture of sensitive and resistant cells, even in the absence of any cell–cell cooperation.

^{[2]}The aim of this paper is to show how the study of the population data and the population dynamics framework contribute to addressing these issues, by providing a new viewpoint on the evolution of aggregate mortality indicators in the presence of heterogeneity.

^{[3]}

## Dislocation Dynamics Framework

The continuum dislocation dynamics framework for mesoscale plasticity is intended to capture the dislocation density evolution and the deformation of crystals when subjected to mechanical loading.^{[1]}A detailed model for jog formation and transport during plastic deformation was developed within the vector density-based continuum dislocation dynamics framework (Lin and El-Azab, 2020; Xia and El-Azab, 2015).

^{[2]}While, a unified viscoplastic constitutive model, coined as Qian-Liu model which was developed by Zhengfang Qian and Sheng Liu, employs back stress tensor to describe the kinematical hardening and cyclic hardening/softening effect based on dislocation dynamics framework.

^{[3]}

## Newtonian Dynamics Framework

9 km s −1, consistent with previous work and within 1σ of predictions made using the modified Newtonian dynamics framework.^{[1]}Specifically, we show that a very simple solution of this kind exists that can be utilized to describe the rising tails seen in many galaxy rotation curves, which had been difficult to reconcile within the cold dark matter or modified Newtonian dynamics frameworks.

^{[2]}

## Network Dynamics Framework

This chapter develops a social-interactive network dynamics framework that outlines various theories, perspectives, and empirical results related to network agency and network dynamics.^{[1]}Specifically, we formalize how network topologies constrain the dynamics of ecological systems into a unifying framework in network ecology that we refer to as the ‘ecological network dynamics framework’.

^{[2]}