B.E. Griffith Publications and Presentations

Publications

A.P.S. Bhalla, B.E. Griffith, and N.A. Patankar. A forced damped-oscillation paradigm for undulatory swimming. PLoS Comput Biol. To appear.
A.P.S. Bhalla, R. Bale, B.E. Griffith, and N.A. Patankar. A unified mathematical framework and an adaptive numerical method for fluid-structure interaction with rigid, deforming, and elastic bodies. J Comput Phys. To appear.
H.M. Wang, X.Y. Luo, H. Gao, R.W. Ogden, B.E. Griffith, C. Berry, and T.J. Wang. A modified Holzapfel-Ogden law for a residually stressed finite strain model of the human left ventricle in diastole. Biomech Model Mechanobiol. To appear.
S. Delong, B.E. Griffith, E. Vanden-Eijnden, and A. Donev. Temporal integrators for fluctuating hydrodynamics. Phys Rev E. 87:033302, 2013. (DOI, PDF)
X.S. Ma, H. Gao, B.E. Griffith, C. Berry, and X.Y. Luo. Image-based fluid-structure interaction model of the human mitral valve. Comput Fluid. 71:417-425, 2013. (DOI, PDF)
H.M. Wang, H. Gao, X.Y. Luo, C. Berry, B.E. Griffith, R.W. Ogden, and T.J. Wang. Structure-based finite strain modelling of the human left ventricle in diastole. Int J Numer Meth Biomed Eng. 29:83-103, 2013. (DOI, PDF)
F. Balboa Usabiaga, J.B. Bell, R. Delgado-Buscalioni, A. Donev, T. Fai, B.E. Griffith, and C.S. Peskin. Staggered schemes for fluctuating hydrodynamics. Multiscale Model Sim. 10:1369-1408, 2012. (DOI, PDF)
B.E. Griffith and S. Lim. Simulating an elastic ring with bend and twist by an adaptive generalized immersed boundary method. Commun Comput Phys. 12:433-461, 2012. (DOI, PDF)
B.E. Griffith. On the volume conservation of the immersed boundary method. Commun Comput Phys. 12:401-432, 2012. (DOI, PDF)
X.Y. Luo, B.E. Griffith, X.S. Ma, M. Yin, T.J. Wang, C.L. Liang, P.N. Watton, and G.M. Bernacca. Effect of bending rigidity in a dynamic model of a polyurethane prosthetic mitral valve. Biomechan Model Mechanobiol. 11:815-827, 2012. (DOI, PDF)
B.E. Griffith. Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions. Int J Numer Meth Biomed Eng. 28:317-345, 2012. (DOI, PDF; the published version of this paper includes significant typographical errors that were introduced by the publisher following the proofing process; these errors do not appear in the linked PDF document)
Erratum: B.E. Griffith. Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions. Int J Numer Meth Biomed Eng. 29:698-700, 2013. (DOI)
P.E. Hand and B.E. Griffith. Empirical study of an adaptive multiscale model for simulating cardiac conduction. Bull Math Biol. 73:3071-3089, 2011. (DOI, PDF)
P.E. Hand and B.E. Griffith. Adaptive multiscale model for simulating cardiac conduction. Proc Natl Acad Sci U S A. 107:14603-14608, 2010. (DOI, PDF; Supporting Information: HTTP, PDF)
P. Lee, B.E. Griffith, and C.S. Peskin. The immersed boundary method for advection-electrodiffusion with implicit timestepping and local mesh refinement. J Comput Phys. 229:5208-5227, 2010. (DOI, PDF)
B.E. Griffith. An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner. J Comput Phys. 228:7565-7595, 2009. (DOI, PDF)
P.E. Hand, B.E. Griffith, and C.S. Peskin. Deriving macroscopic myocardial conductivities by homogenization of microscopic models. Bull Math Biol. 71:1707-1726, 2009. (DOI, PDF)
B.E. Griffith, X. Luo, D.M. McQueen, and C.S. Peskin. Simulating the fluid dynamics of natural and prosthetic heart valves using the immersed boundary method. Int J Appl Mech. 1:137-177, 2009. (DOI, PDF)
B.E. Griffith, R.D. Hornung, D.M. McQueen, and C.S. Peskin. An adaptive, formally second order accurate version of the immersed boundary method. J Comput Phys. 223:10-49, 2007. (DOI, PDF)
B.E. Griffith and C.S. Peskin. On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems. J Comput Phys. 208:75-105, 2005. (DOI, PDF)
S.J. Cox and B.E. Griffith. Recovering quasi-active properties of dendritic neurons from dual potential recordings. J Comput Neurosci. 11:95-110, 2001. (DOI, PDF)
L.J. Gray and B.E. Griffith. A faster Galerkin boundary integral algorithm. Comm Numer Meth Eng. 14:1109-1117, 1998. (DOI, PDF)

Submitted for publication (in alphabetical order by first author)

F. Balboa Usabiaga, R. Delgado-Buscalioni, B.E. Griffith, and A. Donev. Inertial Coupling Method for particles in an incompressible fluctuating fluid. (PDF)
A.P.S. Bhalla, R. Bale, B.E. Griffith, and N.A. Patankar. Fully resolved immersed electrohydrodynamics for particle motion, electrolocation, and self- propulsion. (PDF)
D. Devendran and B.E. Griffith. Comparison of two approaches to using finite element methods for structural mechanics with the immersed boundary method.
T.G. Fai, B.E. Griffith, Y. Mori, and C.S. Peskin. Immersed boundary method for variable viscosity and variable density problems using fast linear solvers. I: Numerical method and results.
T.G. Fai, B.E. Griffith, Y. Mori, and C.S. Peskin. Immersed boundary method for variable viscosity and variable density problems using fast linear solvers. II: Theory.
H. Gao, B.E. Griffith, D. Carrick, C. Berry, and X.Y. Luo. Imaging-derived immersed boundary model of the left ventricle from diastole to systole.
B.E. Griffith and X. Luo. Hybrid finite difference/finite element version of the immersed boundary method. (PDF)
B.E. Griffith and C.S. Peskin. Electrophysiology.
R.D. Guy, B. Phillip, and B.E. Griffith. Geometric multigrid for an implicit-time immersed boundary method.
T. Skorczewski, B.E. Griffith, and A.L. Fogelson. Multi-bond models for platelet adhesion and cohesion.

Conference and workshop talks

An approach to using finite element mechanics models with the immersed boundary method. AMS Southeastern Section Meeting, Tulane University, New Orleans, Louisiana, 2012.
Cardiac fluid-structure and electro-mechanical interaction. SIAM Conference on the Life Sciences, San Diego, California, 2012.
Cardiac fluid-structure and electro-mechanical interaction. 10th World Congress on Computational Mechanics, Sao Paulo, Brazil, 2012.
Cardiac fluid-structure and electro-mechanical interaction. Frontiers in Applied and Computational Mathematics, New Jersey Institute of Technology, Newark, New Jersey, 2012.
Cardiac fluid-structure and electro-mechanical interaction. Lehigh High Performance Computing Symposium, Lehigh University, Bethlehem, Pennsylvania, 2012.
Cardiac fluid-structure and electro-mechanical interaction. Glasgow Workshop on Soft Tissue Modelling, University of Glasgow, Glasgow, United Kingdom, 2012.
Adaptive numerical methods for fluid-structure interaction. Winter Workshop on Neuromechanical Locomotion, Princeton University, Princeton, New Jersey, 2012.
Cardiac fluid-structure and electro-mechanical interaction. NIMS Hot Topic Workshop on Fluid Dynamics: Vortex Dynamics, Biofluids and Related Fields, Daejeon, South Korea, 2011.
Hybrid immersed boundary/immersed interface methods for fluid-structure interaction. 48th Annual Technical Meeting of Society of Engineering Sciences, Evanston, Illinois, 2011.
Cardiac fluid dynamics by an immersed boundary method with finite element elasticity. Seventh International Congress on Industrial and Applied Mathematics, Vancouver, British Columbia, Canada, 2011.
Adaptive multiscale model of cardiac conduction. Fourth Cardiac Physiome Workshop, Oxford, England, United Kingdom, 2011.
Modeling cardiac electromechanics using the immersed boundary method. SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, 2011.
Immersed boundary methods for simulating fluid-structure interaction. Spring Workshop on Nonlinear Mechanics, Xi'an Jiaotong University, Xi'an, Shaanxi, China, 2011.
Simulating aortic heart valve dynamics by the immersed boundary method. Second International Conference on Mathematical and Computational Biomedical Engineering, Fairfax, Virginia, 2011.
Immersed boundary method with finite element elasticity. First North American Meeting on Industrial and Applied Mathematics, Huatulco, Oaxaca, Mexico, 2010.
Two extensions to the immersed boundary method: Physical boundary conditions and finite element elasticity. Workshop on Fluid Motion Driven by Immersed Structures, Fields Institute, Toronto, Ontario, Canada, 2010.
A comparison of two adaptive versions of the immersed boundary method. ASME 2010 First Global Congress on NanoEngineering for Medicine and Biology, Houston, Texas, 2010.
Adaptive numerical methods for simulating biological fluid dynamics and electrophysiology. Computational Challenges in Integrative Biological Modeling, Mathematical Biosciences Institute, The Ohio State University, Columbus, Ohio, 2009.
Simulating cardiac fluid-structure interaction by the immersed boundary method. The Cardiac Physiome: Multi-scale and Multi-physics Mathematical Modelling Applied to the Heart, Cambridge, United Kingdom, 2009.
Simulating cardiac fluid-structure interaction by the immersed boundary method. Tenth U.S. National Congress on Computational Mechanics, Columbus, Ohio, 2009.
Simulating the fluid dynamics of the aortic heart valve. A Conference in Memory of Thomas Bringley, New York, New York, 2009.
Adaptive immersed boundary methods for simulating cardiac fluid dynamics. SIAM Conference on Computational Science and Engineering, Miami, Florida, 2009.
Simulating cardiovascular fluid dynamics by the immersed boundary method. 47th AIAA Aerospace Sciences Meeting, Orlando, Florida, 2009.
Simulating cardiac fluid-structure interaction by the immersed boundary method. SIAM Conference on the Life Sciences, Montreal, Quebec, Canada, 2008.
Cardiac fluid dynamics. Summer 2008 Mathematics Workshop on Applications of Analysis in Mathematical Biology/NSF Summer Research Experience for Undergraduates (REU), University of Wisconsin-Eau Claire, Eau Claire, Wisconsin, 2008.
Simulating cardiac fluid dynamics by the immersed boundary method. Inaugural International Conference of the Engineering Mechanics Institute, Minneapolis, Minnesota, 2008.
A parallel and adaptive immersed boundary method for simulating cardiac fluid dynamics. Modeling and High Performance Computing Workshop, U.S.-France Young Engineering Scientists Symposium, Washington, DC, 2007.
Towards an electro-mechano-fluidic model of the heart. Applications of Mathematics in Biology, Physiology, and Medicine-A Conference in Honor of Charles S. Peskin's and David M. McQueen's 60th Birthdays, New York, New York, 2006.
Simulating cardiac blood-muscle-valve mechanics by an adaptive version of the immersed boundary method. Joint SIAM-SMB Conference on the Life Sciences, Raleigh, North Carolina, 2006.
Simulating cardiac blood-muscle-valve mechanics by an adaptive version of the immersed boundary method. Seventh World Congress on Computational Mechanics, Los Angeles, California, 2006.
SIAM Student Paper Prize Presentation: On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems. SIAM Annual Meeting, New Orleans, Louisiana, 2005.
Simulating cardiac electrophysiology using the bidomain equations: Numerical methods and computational results. SIAM Annual Meeting, New Orleans, Louisiana, 2005.
Parallel implicit methods for the bidomain equations. SIAM Conference on Applications of Dynamical Systems, Salt Lake City, Utah, 2005.
Numerical approaches and computational results for fluid dynamics problems with immersed elastic structures. DOE Computational Science Graduate Fellowship Annual Fellows' Conference, Washington, DC, 2003.
Recovering quasi-active properties of dendritic neurons from dual potential recordings. SIAM Annual Meeting, Rio Grande, Puerto Rico, 2000.

Other talks

Adaptive numerical methods and multiscale mathematical models in cardiology. Mathematical Biology Seminar, University of California, Davis, California, 2010.
Immersed boundary method with finite element elasticity. Mathematical Biology Seminar, University of Glasgow, Glasgow, United Kingdom, 2010.
Adaptive numerical methods and multiscale mathematical models in cardiology. Department of Mathematical Sciences Colloquium, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana, 2010.
Adaptive numerical methods and multiscale mathematical models in cardiology. Department of Mathematical Sciences Colloquium, University of Cincinnati, Cincinnati, Ohio, 2010.
Recent work on the immersed boundary method: Adaptivity, physical boundary conditions, and finite element elasticity. Mostly Biomathematics Lunchtime Seminar, Courant Institute of Mathematical Sciences, New York University, New York, New York, 2009.
A comparison of two adaptive versions of the immersed boundary method. Applied Mathematics Colloquium, University of North Carolina, Chapel Hill, North Carolina, 2009.
Two short talks: Progress towards an efficient implicit immersed boundary method, and an extended version of the bidomain model of cardiac electrophysiology. Mathematical Biology Seminar, University of Glasgow, Glasgow, United Kingdom, 2009.
Adaptive numerical methods for simulating cardiovascular fluid dynamics and electrophysiology. Mathematical Biology Seminar, University of Glasgow, Glasgow, United Kingdom, 2008.
Adaptive numerical methods for simulating cardiovascular fluid dynamics and electrophysiology. Department of Biomedical Engineering Seminar, Columbia University, New York, New York, 2008.
IBAMR: A framework for building parallel and adaptive immersed boundary simulations. Center for Computational Science Seminar, Tulane University, New Orleans, Louisiana, 2008.
Adaptive numerical methods for cardiac fluid-structure interaction and electrophysiology. Computer Science and Mathematics Division Seminar Series, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 2008.
Adaptive numerical methods for cardiac fluid-structure interaction and electrophysiology. Department of Computational and Applied Mathematics Colloquium, Rice University, Houston, Texas, 2008.
An adaptive immersed boundary method for fluid-structure interaction with applications to cardiac fluid dynamics. Applied and Computational Mathematics Seminar, School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, 2007.
Adaptive immersed boundary methods for simulating cardiac blood-muscle-valve mechanics and electrophysiology. Mathematical Biology Seminar, New Jersey Institute of Technology, Newark, New Jersey, 2006.
Adaptive immersed boundary methods for simulating cardiac blood-muscle-valve mechanics and electrophysiology. Computational Science and Engineering Seminar, College of Computing, Georgia Institute of Technology, Atlanta, Georgia, 2006.
Adaptive immersed boundary methods for simulating cardiac blood-muscle-valve mechanics and electrophysiology. Computational Science and Engineering Seminar, Department of Applied and Computational Mathematics, California Institute of Technology, Pasadena, California, 2006.
Adaptive immersed boundary methods for simulating cardiac blood-muscle-valve mechanics and electrophysiology. Applied Mathematics Seminar, Courant Institute of Mathematical Sciences, New York University, New York, New York, 2006.
Adaptive immersed boundary methods for simulating cardiac blood-muscle-valve mechanics and electrophysiology. Centre for Scientific Computing, Simon Fraser University, Burnaby, British Columbia, Canada, 2006.
Adaptive immersed boundary methods for simulating cardiac blood-muscle-valve mechanics and electrophysiology. Center for Applied Mathematics Colloquium, Cornell University, Ithaca, New York, 2006.
Adaptive methods for simulating cardiac blood-muscle-valve mechanics. Courant Instructor Day, Courant Institute of Mathematical Sciences, New York University, New York, New York, 2005.
Computational methods for modeling cardiac physiology: A parallel and adaptive version of the immersed boundary method and bidomain simulations of electrical conduction in murine ventricular tissue. Mathematical Biology Seminar, Department of Mathematics, University of Utah, Salt Lake City, Utah, 2005.
A parallel, locally adaptive implementation of the immersed boundary method using SAMRAI, hypre, and PETSc. Mostly Biomathematics Lunchtime Seminar, Courant Institute of Mathematical Sciences, New York University, New York, New York, 2004.
A SAMRAI-based implementation of the immersed boundary method. Mostly Biomathematics Lunchtime Seminar, Courant Institute of Mathematical Sciences, New York University, New York, New York, 2002.
Computational cardiac electrophysiology with the bidomain equations. Mostly Biomathematics Lunchtime Seminar, Courant Institute of Mathematical Sciences, New York University, New York, New York, 2002.
Recovering quasi-active properties of dendritic neurons from dual potential recordings. Mostly Biomathematics Lunchtime Seminar, Courant Institute of Mathematical Sciences, New York University, New York, New York, 2000.