Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Miranda Holmes-Cerfon"'
Publikováno v:
Nature Communications, Vol 13, Iss 1, Pp 1-10 (2022)
A quantitative prediction of DNA-mediated interactions between colloids is crucial to the design of colloidal structures for optical applications. Cui et al. measure the interaction potential with nanometer resolution and propose a theory to accurate
Externí odkaz:
https://doaj.org/article/852d2bdcf7b644a7b4bfbcdd16bbb7ce
Publikováno v:
Soft Matter. 18:3130-3146
Particles with ligand-receptor contacts bind and unbind fluctuating "legs" to surfaces, whose fluctuations cause the particle to diffuse. Quantifying the diffusion of such "nanoscale caterpillars" is a challenge, since binding events often occur on v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c754d6093d8cd6eb671f9dbf3f026de
https://doi.org/10.1039/d1sm01544c
https://doi.org/10.1039/d1sm01544c
Publikováno v:
Soft Matter. 17:6797-6807
A challenge in designing self-assembling building blocks is to ensure the target state is both thermodynamically stable and kinetically accessible. These two objectives are known to be typically in competition, but it is not known how to simultaneous
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f50407ba8fdb562ea4c0d180df22d532
https://doi.org/10.1039/d1sm00681a
https://doi.org/10.1039/d1sm00681a
Autor:
Miranda Holmes-Cerfon, Nawaf Bou-Rabee
Publikováno v:
SIAM Review. 62:164-195
Sticky Brownian motion is the simplest example of a diffusion process that can spend finite time both in the interior of a domain and on its boundary. It arises in various applications such as in biology, materials science, and finance. This article
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19ad0c3e24d83d5b17877b523f1abd61
https://doi.org/10.1137/19m1268446
https://doi.org/10.1137/19m1268446
Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call "transverse rigidity". We show that transverse rigidity is actually equivalent to the known sufficient condition for rigidity called "prestress stabi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3367e79a76760f41b05de42a96673f90
http://arxiv.org/abs/2106.04485
http://arxiv.org/abs/2106.04485
Autor:
Miranda Holmes-Cerfon
This textbook introduces the major ideas of stochastic analysis with a view to modeling or simulating systems involving randomness. Suitable for students and researchers in applied mathematics and related disciplines, this book prepares readers to so
Autor:
Louis Theran, Varda F. Hagh, Steven J. Gortler, Mingyu Kang, Robert Connelly, Mahdi Sadjadi, Meera Sitharam, Michael Thorpe, Miranda Holmes-Cerfon
This paper studies the set of equivalent realizations of isostatic frameworks in two dimensions, and algorithms for finding all such realizations. We show that an isostatic framework has an even number of equivalent realizations that preserve edge le
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53b61b8bd7e404831a7b057c5923acb0
Funding: NSF-FRG Grants DMS-1564487and DMS-1564473. M. H.-C. acknowledges support from the US Department of Energy DE-SC0012296, and the Alfred P. Sloan Foundation. We extend the mathematical theory of rigidity of frameworks (graphs embedded in d‐d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b942c71cdff7ff0ecea439479a5fe8ec
https://hdl.handle.net/10023/24537
https://hdl.handle.net/10023/24537
Publikováno v:
Soft Matter. 18:4030-4030
Correction for ‘The nanocaterpillar's random walk: diffusion with ligand–receptor contacts’ by Sophie Marbach et al., Soft Matter, 2022, 18, 3130–3146, DOI: https://doi.org/10.1039/D1SM01544C.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23e7d8af07b32e8604784a65980244e3
https://doi.org/10.1039/d2sm90058k
https://doi.org/10.1039/d2sm90058k