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Mini-Workshop: Mathematics of Differential Growth, Morphogenesis, and Pattern Selection

dc.date.accessioned2019-10-24T15:10:52Z
dc.date.available2019-10-24T15:10:52Z
dc.date.issued2015
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3496
dc.description.abstractLiving structures are highly heterogeneous systems that consist of distinct regions made up of characteristic cell types with a specific structural organization. During evolution, development, disease, or environmental adaptation each region may grow at its own characteristic rate. Differential growth creates a balanced interplay between tension and compression and plays a critical role in biological function. In plant physiology, typical every-day examples include the petioles of celery, caladium, or rhubarb with a slower growing compressive outer surface and a faster growing tensile inner core. In developmental biology, differential growth is critical to the organogenesis of various structures including the gut, the heart, and the brain. From a structural point of view, these phenomena are close associated with instabilities, of twisting, looping, folding, and wrinkling. From a mathematical point of view, the governing equations of organogenesis are highly nonlinear and often characterized through multiple bifurcation points. Bifurcation is critical in symmetry breaking, pattern formation, and selection of shape. While biologists are studying differential growth, morphogenesis, and pattern selection merely by observation, our goal in this workshop is to explore, discuss, and advance the fundamental theory of differential growth to characterize morphogenesis and pattern selection by mathematical modeling. This workshop will bring together scientists with similar interests and complementary backgrounds in applied mathematics, mathematical biology, developmental biology, plant biology, dynamical systems, biophysics, biomechanics, and clinical sciences. We will identify common features of growth phenomena in living systems with the overall objectives to establish a unified mathematical theory for growing systems and to identify the necessary mathematical tools to address challenging questions in biology and medicine.
dc.titleMini-Workshop: Mathematics of Differential Growth, Morphogenesis, and Pattern Selection
dc.identifier.doi10.14760/OWR-2015-49
local.series.idOWR-2015-49
local.subject.msc92
local.subject.msc37
local.sortindex936
local.date-range01 Nov - 07 Nov 2015
local.workshopcode1545b
local.workshoptitleMini-Workshop: Mathematics of Differential Growth, Morphogenesis, and Pattern Selection
local.organizersKrishna Garikipati, Ann Arbor ; Alain Goriely, Oxford ; Ellen Kuhl, Stanford; Andreas Menzel, Dortmund
local.report-nameWorkshop Report 2015,49
local.opc-photo-id1545b
local.publishers-doi10.4171/OWR/2015/49
local.ems-referenceGarikipati Krishna, Goriely Alain, Kuhl Ellen, Menzel Andreas: Mini-Workshop: Mathematics of Differential Growth, Morphogenesis, and Pattern Selection. Oberwolfach Rep. 12 (2015), 2895-2910. doi: 10.4171/OWR/2015/49


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