Meetings/Workshops on Modeling and Simulation in Mexico

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1
Modeling and Computational Approaches to Individual and Collective Cell Movement in Complex Environments
26 Sep 2021 - 01 Oct 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Locomotion of cells, both individually and collectively, plays an important role in development, the immune response, wound healing, and cancer metastasis. Movement requires force transmission to the environment, and motile cells are robustly-designed nanomachines that often can cope with a variety of environmental conditions by altering the mode of force transmission – which ranges from crawling to swimming. The shape and integrity of a cell is determined by its cytoskeleton, and thus the shape changes that may be required to move involve controlled remodeling of the cytoskeleton. Motion in vivo is often in response to extracellular signals, which requires the ability to detect such signals and transduce them into the shape changes and force generation needed for movement. Thus the nanomachine is complex, and while much is known about individual components involved in movement, an integrated understanding of single cell motility, even in simple cells such as bacteria, is not at hand. At the next level, collective movement requires coordination of these nanomachines, which introduces another level of complexity. This complexity has stimulated mathematical modelling and computational simulations of cell and tissue movement at various levels, which has advanced our understanding of movement on multiple time and space scales.
Event listing ID:
1364784
2
Real Polynomials: Counting and Stability
17 Oct 2021 - 22 Oct 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Understanding the real solutions of polynomials or systems of polynomial equations is at the heart of many problems both in the realm of pure mathematics and in the mathematical modeling of networks in systems biology, in computer aided geometric design, or in the control of mechanisms. While there exist a lot of celebrated results (for example, bounds exploiting the signs of the coefficients of a univariate polynomial or bounds taking into account the number of terms), even some basic questions are still unsolved. There has been a recent explosion of activity in this area, where different tools have started to be connected in new and unexpected ways, such as tools from the theory of matroids, from fewnomial theory, or from convex algebraic geometry. This workshop will bring together experts from close but different areas in real algebraic geometry to collaborate and will lead to further progress (both theoretical and practical) on a number of problems on the real solutions of polynomials. Specific consideration is given on the problem of counting and bounding the number of real roots as well as on questions of stability.
Event listing ID:
1364826


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Last updated: 08 July 2020