Academic research
For the decade prior to becoming an entrepreneur (2002—2012), I enjoyed the lifestyle of a curious academic. My research in this period was motivated by a range of applications in biophysics, and focused on continuum field theory and numerical algorithms. This page links to descriptions of my work, and serves as a sampling of my scientific writing and talks.
Primary investigations
Chondrocyte physiology
Better understanding the cell type responsible for the synthesis of cartilage.
Tissue growth and development
A continuum theory of multiphase mixtures for modelling biological growth.
Curiosities along the way
Journal articles
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“The roles of K+ currents in human articular chondrocyte electrophysiology: A computational perspective”
H. Narayanan, M. M. Maleckar, R. B. Clark, J. R. Wilson, W. R. Giles
Under preparation -
“An adaptive finite element method for fluid-structure interaction”
[preprint]
K. Selim, A. Logg, H. Narayanan, M. G. Larson
Submitted -
“In silico estimates of the free energy changes in growing, avascular, tumor spheroids”
[postprint]
[preprint]
H. Narayanan, S. N. Verner, K. L. Mills, R. Kemkemer, K. Garikipati
Journal of Physics: Condensed Matter
Vol. 22(19), 2010 -
“The micromechanics of fluid-solid interactions during growth in porous soft biological tissue”
[postprint]
[preprint]
H. Narayanan, E. M. Arruda, K. Grosh, K. Garikipati
Biomechanics and Modeling in Mechanobiology
Vol. 8(3), pp. 167–181, 2009 -
“The continuum elastic and atomistic viewpoints on the formation volume and strain energy of a point defect”
[postprint]
[preprint]
K. Garikipati, M. Falk, M. Bouville, B. Puchala, H. Narayanan
Journal of the Mechanics and Physics of Solids
Vol. 54(9), pp. 1929–1951, 2006 -
“Biological remodelling: Stationary energy, configurational change, internal variables and dissipation”
[postprint]
[preprint]
K. Garikipati, J. Olberding, H. Narayanan, E. M. Arruda, K. Grosh, S. Calve
Journal of the Mechanics and Physics of Solids
Vol. 54(7), pp. 1493–1515, 2006 -
“A continuum treatment of growth in biological tissue: The coupling of mass transport and mechanics”
[postprint]
[preprint]
K. Garikipati, E. M. Arruda, K. Grosh, H. Narayanan, S. Calve
Journal of the Mechanics and Physics of Solids
Vol. 52(7), pp. 1595–1625, 2004
Chapters in books
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“A computational framework for nonlinear elasticity”
[postprint]
[preprint]
H. Narayanan
Automated Solution of Differential Equations by the Finite Element Method, A. Logg, K-A. Mardal, G. N. Wells (Eds.)
Chap. 27, pp. 527–544, 2012 -
“A comparison of some finite element schemes for the incompressible Navier-Stokes equations”
[postprint]
[preprint]
K. Valen-Sendstad, A. Logg, K-A. Mardal, H. Narayanan, M. Mortensen
Automated Solution of Differential Equations by the Finite Element Method, A. Logg, K-A. Mardal, G. N. Wells (Eds.)
Chap. 21, pp. 395–417, 2012 -
“Characterization and modeling of growth and remodeling in tendon and soft tissue constructs”
[postprint]
[preprint]
E. M. Arruda, S. Calve, K. Garikipati, K. Grosh, H. Narayanan
Mechanics of Biological Tissue, G. A. Holzapfel, R. W. Ogden (Eds.)
Chap. 5, pp. 63–75, 2006 -
“Material forces in the context of biotissue remodelling”
[postprint]
[preprint]
K. Garikipati, H. Narayanan, E. M. Arruda, K. Grosh, S. Calve
Mechanics of Material Forces, P. Steinmann, G. A. Maugin (Eds.)
Chap. 8, pp. 77–84, 2005
Conference proceedings
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“Experimental and computational investigation of viscoelasticity of native and engineered ligament and tendon”
[postprint]
[preprint]
J. Ma, H. Narayanan, K. Garikipati, K. Grosh, E. M. Arruda
Cellular, Molecular and Tissue Mechanics
IUTAM Symposium Bookseries
Vol. 16, pp. 3–17, 2010 -
“Collaborative computational frameworks and the growth problem”
[postprint]
[preprint]
H. Narayanan, K. Garikipati, A. Logg
The Mathematics of Growth and Remodelling of Soft Biological Tissues
Mathematisches Forschungsinstitut Oberwolfach Reports
Vol. 5(3), pp. 2247–2249, 2008 -
“Mathematical modelling of solid tumor growth”
[postprint]
[preprint]
K. Garikipati, H. Narayanan, K. Grosh, E. M. Arruda
The Mathematics of Growth and Remodelling of Soft Biological Tissues
Mathematisches Forschungsinstitut Oberwolfach Reports
Vol. 5(3), pp. 2235–2238, 2008
Other academic writing
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“A continuum theory of multiphase mixtures for modelling biological growth”
[postprint]
[preprint]
H. Narayanan
Doctoral Dissertation, University of Michigan
2007 -
“Variational level sets in shape reconstruction from unorganised data sets”
[preprint]
H. Narayanan
Project Report, University of Michigan
2005
Selected talks at conferences
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“A continuum model for the active mechanical response of the myocardium”
[slides]
Tenth World Congress on Computational Mechanics
São Paulo, Brazil, July 2012 -
“The role of K+ channels in human articular chondrocyte electrophysiology”
[slides]
Cardiac Modelling Seminar at Simula Research Laboratory
Oslo, Norway, July 2011 -
“An automated computational framework for hyperelasticity”
[slides]
Fourth European Conference on Computational Mechanics
Paris, France, May 2010 -
“A goal-oriented error-controlled solver for biomedical flows”
[slides]
Fifth M.I.T. Conference on Computational Fluid and Solid Mechanics
Cambridge, MA, June 2009 -
“Collaborative computational frameworks and the growth problem”
[slides]
Workshop on the Mathematics of Growth and Remodelling of Soft Biological Tissues
Mathematisches Forschungsinstitut Oberwolfach, Germany, September 2008 -
“Reshaping tumour growth”
[slides]
University of Michigan Engineering Graduate Student Symposium
Ann Arbor, MI, November 2007 -
“A continuum theory of multiphase mixtures for modelling biological growth”
[slides]
Doctoral Dissertation Defence
Ann Arbor, MI, October 2007 -
“The numerical implications of multi-phasic mechanics assumptions underlying growth models”
[slides]
Ninth U.S. National Congress on Computational Mechanics
San Fransisco, CA, July 2007 -
“Finite element methods in general relativity”
[slides]
University of Michigan Engineering Graduate Student Symposium
Ann Arbor, MI, November 2006 -
“Viscoelastic and growth mechanics in engineered and native tendons”
[slides]
43rd Annual Technical Meeting of the Society of Engineering Science
University Park, PA, August 2006 -
“The numerical implications of fluid incompressibility in multiphasic modelling of soft tissue growth”
[slides]
Seventh World Congress on Computational Mechanics
Los Angeles, CA, July 2006 -
“Tendon growth and healing: The roles of reaction, transport and mechanics”
[slides]
15th U.S. National Congress on Theoretical and Applied Mechanics
Boulder, CO, June 2006 -
“Computational modelling of mechanics and transport in growing tissue”
[slides]
Eighth U.S. National Congress on Computational Mechanics
Austin, TX, July 2005 -
“Simulations of coupled mechanics and transport in growing soft tissue”
[slides]
Third M.I.T. Conference on Computational Fluid and Solid Mechanics
Cambridge, MA, June 2005 -
“Multi-scale simulations of the mechanics of transport and growth in soft tissue”
[slides]
41st Annual Technical Meeting of the Society of Engineering Science
Lincoln, NE, October 2004 -
“Material forces in the context of biological tissue remodelling”
[slides]
Seventh U.S. National Congress on Computational Mechanics
Albuquerque, NM, July 2003 -
“A continuum treatment of growth in tissue”
[slides]
Second M.I.T. Conference on Computational Fluid and Solid Mechanics
Cambridge, MA, June 2003