This subproject is one of many research subprojects utilizing the resources provided by a Center grant funded by NIH/NCRR. The subproject and investigator (PI) may have received primary funding from another NIH source, and thus could be represented in other CRISP entries. The institution listed is for the Center, which is not necessarily the institution for the investigator. The difficulty with multiscale models is the coupling between the distinct models: How does one incorporate MD simulations as e.g. boundary conditions for the elasticity equations, and how does one incorporate the large-scale deformation of the solid as boundary information in the MD simulation? There are many ad-hoc techniques proposed to do the coupling (quasi-continuum, heterogeneous multiscale, variational multiscale, and other techniques) but there is very little mathematical theory for anything but extremely simple problems. This is one of the biggest active areas in applied mathematics, with funding agencies such as the U.S. Department of Energy putting substantial resources into this area of applied mathematics in the last fives years due to the relevance to the important complex mathematical models arising in stockpile stewardship programs. Many of the core ideas that were developed for both multilevel fast PDE solvers and adaptive numerical methods for PDE are now resurfacing in this field. We see this as one of several unique opportunities for NBCR to focus these new technologies for the benefit of the biomedical community, with a key role being played by mathematicians at NBCR/UCSD.

Agency
National Institute of Health (NIH)
Institute
National Center for Research Resources (NCRR)
Type
Biotechnology Resource Grants (P41)
Project #
2P41RR008605-16
Application #
7955220
Study Section
Special Emphasis Panel (ZRG1-SBIB-C (40))
Project Start
2009-05-01
Project End
2010-04-30
Budget Start
2009-05-01
Budget End
2010-04-30
Support Year
16
Fiscal Year
2009
Total Cost
$207,535
Indirect Cost
Name
University of California San Diego
Department
Anatomy/Cell Biology
Type
Schools of Medicine
DUNS #
804355790
City
La Jolla
State
CA
Country
United States
Zip Code
92093
Pantoja, Joe Luis; Morgan, Ashley E; Grossi, Eugene A et al. (2017) Undersized Mitral Annuloplasty Increases Strain in the Proximal Lateral Left Ventricular Wall. Ann Thorac Surg 103:820-827
Morgan, Ashley E; Wozniak, Curtis J; Gulati, Sarthak et al. (2017) Association of Uneven MitraClip Application and Leaflet Stress in a Finite Element Model. JAMA Surg 152:111-114
Morgan, Ashley E; Pantoja, Joe L; Grossi, Eugene A et al. (2016) Neochord placement versus triangular resection in mitral valve repair: A finite element model. J Surg Res 206:98-105
Purvine, Emilie; Monson, Kyle; Jurrus, Elizabeth et al. (2016) Energy Minimization of Discrete Protein Titration State Models Using Graph Theory. J Phys Chem B 120:8354-60
Bucero, Marta Abril; Bajaj, Chandrajit; Mourrain, Bernard (2016) On the construction of general cubature formula by flat extensions. Linear Algebra Appl 502:104-125
Ebeida, Mohamed S; Rushdi, Ahmad A; Awad, Muhammad A et al. (2016) Disk Density Tuning of a Maximal Random Packing. Comput Graph Forum 35:259-269
Yang, Pei-Chi; Boras, Britton W; Jeng, Mao-Tsuen et al. (2016) A Computational Modeling and Simulation Approach to Investigate Mechanisms of Subcellular cAMP Compartmentation. PLoS Comput Biol 12:e1005005
Watson, Shana R; Liu, Piaomu; Peña, Edsel A et al. (2016) Comparison of Aortic Collagen Fiber Angle Distribution in Mouse Models of Atherosclerosis Using Second-Harmonic Generation (SHG) Microscopy. Microsc Microanal 22:55-62
Ge, Liang; Wu, Yife; Soleimani, Mehrdad et al. (2016) Moderate Ischemic Mitral Regurgitation After Posterolateral Myocardial Infarction in Sheep Alters Left Ventricular Shear but Not Normal Strain in the Infarct and Infarct Borderzone. Ann Thorac Surg 101:1691-9
Morgan, Ashley E; Pantoja, Joe Luis; Weinsaft, Jonathan et al. (2016) Finite Element Modeling of Mitral Valve Repair. J Biomech Eng 138:021009

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