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miniworkshop <br> | miniworkshop <br> | ||
[http://www.mfo.de mathematisches forschungsinstitut oberwolfach] <br> | [http://www.mfo.de mathematisches forschungsinstitut oberwolfach] <br> | ||
| − | 08/31/08-09/06/08 <br> | + | oberwolfach, germany, 08/31/08-09/06/08 <br> |
ellen kuhl, | ellen kuhl, | ||
davide ambrosi, | davide ambrosi, | ||
krishna garikipati <br> | krishna garikipati <br> | ||
| + | |||
<b>abstract</b> | <b>abstract</b> | ||
biology is becoming the most attractive field of application of mathematics. | biology is becoming the most attractive field of application of mathematics. | ||
| Line 37: | Line 38: | ||
to bring together established researchers on this topic | to bring together established researchers on this topic | ||
with newer entrants to the field. | with newer entrants to the field. | ||
| + | |||
| + | |||
| + | ==the mathematics of growth & remodeling of soft biological tissues== | ||
| + | |||
| + | minisymposium <br> | ||
| + | [http://www.me.berkeley.edu/compmat/USACM/main.html 9th usnccm] <br> | ||
| + | san francisco, usa, 07/23/07-07/26/07 <br> | ||
| + | ellen kuhl, | ||
| + | krishna garikipati <br> | ||
| + | |||
| + | <b>abstract</b> this symposium will focus on theoretical and computational methods for mass and volumetric | ||
| + | change (growth) and microstructural changes (remodeling) in biomechanical problems. | ||
| + | over the past two decades, a number of theoretical approaches have been laid down to explain | ||
| + | functional adaptation of biological tissues. Included among them are the classical theory of | ||
| + | adaptive elasticity, open system thermodynamics, reaction diffusion in porous media, mixture | ||
| + | theories and different theories of microstructural evolution. | ||
| + | within this minisymposium, we would like to turn the focus somewhat to the challenges related | ||
| + | to the computational realization of these theories, while still recognizing the need for | ||
| + | continued theoretical development. with these aims in mind, we invite abstracts addressing | ||
| + | (but not necessarily restricted to) the following topics of relevance to biological growth | ||
| + | and remodeling: | ||
| + | further development of growth and remodeling theories, | ||
| + | algorithms for multifield phenomena of mechanics, transport and reaction, | ||
| + | appropriate formulation and time discretization of biological rate equations, | ||
| + | computational treatment of scale interaction in space and time, | ||
| + | the role of computational homogenization techniques, and | ||
| + | relaxation methods in microstructural evolution. | ||
Revision as of 16:45, 5 April 2007
the mathematics of growth & remodeling of soft biological tissues
miniworkshop
mathematisches forschungsinstitut oberwolfach
oberwolfach, germany, 08/31/08-09/06/08
ellen kuhl,
davide ambrosi,
krishna garikipati
abstract biology is becoming the most attractive field of application of mathematics. the discoveries that have characterized the biological sciences in the last decades have become the most fertile matter for application of classical mathematical methods, while they offer a natural environment where new theoretical questions arise. mathematical biology' has born many years ago and has developped along directions that now constitute its traditional background: population dynamics and reaction-diffusion equations. nowadays mathematical biology is differentiating into several branches, essentially depending on the specific spatial scale size under consideration: molecular scale (i.e. dna transcription, protein folding and cascades), cellular scale (i.e. motility, aggregation and moprhogenesis) and macroscale (i.e. tissue mechanics). currently one of the most attractive scientific topics is the mathematics of growth and remodelling of soft biological tissues. this area, located at the crossroads of biology, mathematics and continuum mechanics, concerns the statement and analysis of the equations that characterize the mechanics, growth and remodelling of systems like arteries, tumors and ligaments, studied at the macroscopic scale. these are open continuous systems that pose new challenging questions, which go beyond the standard mechanics that is traditionally devoted to closed systems. past initiatives in oberwolfach have been devoted to the interaction between biology and mathematics in a broad sense. a minisymposium in oberwolfach focusing on the mathematics of growth and remodelling of soft biological tissues' would be the occasion to bring together established researchers on this topic with newer entrants to the field.
the mathematics of growth & remodeling of soft biological tissues
minisymposium
9th usnccm
san francisco, usa, 07/23/07-07/26/07
ellen kuhl,
krishna garikipati
abstract this symposium will focus on theoretical and computational methods for mass and volumetric change (growth) and microstructural changes (remodeling) in biomechanical problems. over the past two decades, a number of theoretical approaches have been laid down to explain functional adaptation of biological tissues. Included among them are the classical theory of adaptive elasticity, open system thermodynamics, reaction diffusion in porous media, mixture theories and different theories of microstructural evolution. within this minisymposium, we would like to turn the focus somewhat to the challenges related to the computational realization of these theories, while still recognizing the need for continued theoretical development. with these aims in mind, we invite abstracts addressing (but not necessarily restricted to) the following topics of relevance to biological growth and remodeling: further development of growth and remodeling theories, algorithms for multifield phenomena of mechanics, transport and reaction, appropriate formulation and time discretization of biological rate equations, computational treatment of scale interaction in space and time, the role of computational homogenization techniques, and relaxation methods in microstructural evolution.