Upcoming Colloquia

All seminars will be held in the MBI Lecture Hall - Jennings Hall, Room 355 - unless otherwise noted.

October 20, 2014 3:00 - 3:50PM
Host: Avner Friedman

In this talk, I will report some recent results on the qualitative and numerical analysis  of structure-preserving discretizations and robust preconditioners for several mathematical models that couple with the Navier-Stokes equations. I will study the Navier-Stokes equations coupled with elasticity equations, the Maxwell's equations, and the Poisson-Nernst-Planck system. These systems model fluid-structure interaction, magnetohydrodynamics, and electrokinetic phenomena, respectively, and are widely used in physics, biology, and engineering. I will also give some numerical examples to validate our analyses and models.

October 27, 2014 3:00 - 3:50PM
Host: Erich Grotewold

Experiments indicate that physical stress in the shoot apical meristem of Arabidopsis controls at least two aspects of cell biology – the cortical cytoskeleton, and the subcellular location of the PIN1 auxin transporter. Cortical microtubules align in shoot apical meristem epidermal cells such that they are parallel to the principal direction of maximal stress when the stress is highly anisotropic.  PIN1 is asymmetrically distributed in the plasma membranes of the same cells, with the highest amount in the membrane adjacent to the most stressed side wall.

Cellulose synthase complexes ride the cortical microtubules, thereby reinforcing cells in the direction of maximal stress, which is a negative feedback on stress, and tends to cause cells to expand orthogonally to the maximal stress direction.  Auxin, however, weakens walls, allowing cells to expand proportionally to their auxin concentration. As expanding cells (whose direction of expansion depends upon wall anisotropy) stress their neighbors, the neighbors transport auxin preferentially to expanding cells, further increasing their auxin concentration. This is a positive feedback – high auxin in a cell attracts more auxin, and creates more stress.

These sets of feedbacks create a supracellular, tissue-wide feedback system that creates plant shape, controls phyllotaxis, and regulates hormone flow. This system has been amenable to computational modeling.  The present set of models successfully predicts phyllotactic pattern (as auxin induces new leaves and flowers, and models of auxin transport reproduce the pattern of the new organs), rates of cell expansion, and developing models also treat direction of expansion and planes of cell division (which are dictated by the microtubule array).

Therefore, including cellular responses to physical stress is as important as including cell-cell signaling in models of shoot meristem morphogenesis, and considering the effects of mechanical stress (and therefore of tissue shape and cell wall properties) leads to highly predictive models.

TBD
November 10, 2014 3:00 - 3:50PM

Abstract Not Submitted.

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November 24, 2014 3:00 - 3:50PM
Host: TBD

Abstract not submitted.

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December 01, 2014 3:00 - 3:50PM
Host: Andrej Rotter

Abstract coming soon.

TBD
January 26, 2015 3:00 - 3:50PM
Host: Soledad Fernandez

Abstract not submitted.

TBD
February 09, 2015 3:00 - 3:50PM
Host: Andrej Rotter

Abstract coming soon.

TBD
February 23, 2015 3:00 - 3:50PM
Host: TBD

Abstract not submitted.

TBD
March 02, 2015 3:00 - 3:50PM
Host: TBD

Abstract not submitted.

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March 09, 2015 3:00 - 3:50PM
Host: TBD

Abstract not submitted.

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April 06, 2015 3:00 - 3:50PM
Host: TBD

Abstract not submitted.

TBD
April 20, 2015 3:00 - 3:50PM
Host: TBD

Abstract not submitted.