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1 markedly reduced for this ensemble type with coarse graining.
2 rmal connections to microscopic physics, and coarse graining.
3 of network visualization, data ordering and coarse-graining.
4 ple and applicable to models at any level of coarse-graining.
5 is particularly well-suited for Hamiltonian coarse-graining.
6 mation at small scales, an approach known as coarse-graining.
7 , which we also use as a means of principled coarse-graining.
8 we implement a continuum model obtained from coarse graining a collection of self-propelled rods, wit
10 o identify suitable groups of components for coarse-graining a network and achieve a low computationa
12 processes-plays a key role, especially when coarse-graining across scales to capture the system's ef
15 l strategies with variable discretization or coarse graining and unbinding dynamics, and although gen
16 n protocol which decreases the resolution by coarse-graining and averaging over short similarity dist
18 based multiscale simulations where a dynamic coarse-graining and force-blending method is required.
21 greater challenge in complex systems, where coarse-graining and statistical mechanics descriptions b
22 the theoretical underpinnings and history of coarse-graining and summarize the state of the field, or
23 allows us to relate model parameters between coarse-grainings and which provides a more precise meani
24 g ODE, PDE, and SDE discovery, as well as in coarse-graining applications, such as homogenization and
26 the development of the model, two levels of coarse-graining are explored and the importance of retai
28 onally-reduced macroscopic variable (e.g., a coarse-graining) as emergent to the extent that it behav
29 Furthermore, we discuss how organizational coarse-graining can be applied to spatial dynamics by sh
30 ions of molecular states to provide powerful coarse-graining capabilities, for example to merge Boole
32 matic methodology, called essential dynamics coarse-graining (ED-CG), has been developed for defining
34 olids and nonperturbative approach (by super-coarse-graining elasticity into internal bending modes)
36 um models are not known a priori or analytic coarse graining fails, as often is the case for nondilut
42 ndition under which non-reciprocity survives coarse-graining, leading to a wealth of dynamical patter
43 ve explicitly, non-reciprocity may fade upon coarse-graining, leading to large-scale equilibrium desc
46 tonomous predictor of chaotic dynamics, as a coarse-graining method, and as a data-adaptive de-noisin
47 Extension Algorithm via Covariance Hessian) coarse-graining method, in which the force constants of
50 amework for complex systems where analytical coarse-graining methods are not applicable, and can, in
52 monstrate the orchestration of various novel coarse-graining methods by applying them to the mitotic
54 ar systems can greatly benefit from a set of coarse-graining methods that, ideally, can be automatica
55 oying a combination of experimental data and coarse-graining methods, are used to explore the structu
58 ian-Langevin dynamics principles to derive a coarse-graining multiscale myofilament model that can de
59 ial tradeoffs associated with the process of coarse graining NMMII ensembles and highlight the robust
61 lly combining the Morone-Makse algorithm and coarse graining of the network in which we regard a comm
66 ion without explicit enumeration of rates or coarse-graining of configuration space, and so the proce
67 his functional coordinate system, permitting coarse-graining of microbiomes in terms of ecological ni
72 uch as flow in porous, homogenous materials, coarse-graining offers a sufficiently-accurate approxima
74 ssues is how to identify the right scale for coarse-graining, or equivalently, the right number of de
75 r the first time, a long-standing problem in coarse-graining polymer systems, namely, how to accurate
76 rge problems, we also develop an approximate coarse-graining procedure that avoids the need for negat
77 l populations in the mouse under an activity coarse-graining procedure, and they were explained as a
78 to improve model elaboration, refinement and coarse graining procedures to better understand the rele
79 n modeling large regions of the cortex, many coarse-graining procedures have been invoked to obtain e
81 lations suggest an emergent length scale for coarse-graining proteins, as well as a qualitative disti
82 function of shear strain, and use that in a coarse-graining rate equation formulation for constructi
83 acids and lipid molecules); 3), shape-based coarse-graining (resolving overall protein and membrane
84 l-atom molecular dynamics; 2), residue-based coarse-graining (resolving single amino acids and lipid
85 sent substantial advances to the shape based coarse graining (SBCG) method, which we refer to as SBCG
86 oretical modeling, molecular simulation, and coarse-graining strategies for the transport of gases an
88 applying our molecular renormalization group coarse-graining technique to double-stranded DNA, we sol
90 nd we explicitly construct such a picture by coarse graining the microscopic dynamics of our simulati
94 tarting model and approximations inherent in coarse graining, these results are consistent with exper
95 mechanics, allowed better contractility with coarse graining, though connectivity was still markedly
96 in difficulties by applying a gradient-based coarse graining to RNA-ligand systems and solving the pr
97 nd for correlated neurons, required temporal coarse-graining to compensate for spatial subsampling of
98 twork model, which invoke similar degrees of coarse-graining to the dynamics but use different potent