主 题: Mini-workshop on Interdisciplinary Science Between Math, Biology, and Music
报告人:
时 间: 2018-06-11 13:30 - 2018-06-11 17:00
地 点: Room 77201, Jingchunyuan 78, BICMR
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\n\tOrganizer:<\/b> \n<\/p>\n
\n\tLei Zhang (BICMR, PKU)\n<\/p>\n
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\n\tSpeaker\nlist:<\/b> \n<\/p>\n
\n\tHuijing Du, Dept. of Math, University of\nNebraska-Lincoln\n<\/p>\n
\n\tMan Fang, School of Music, University of South\nCarolina\n<\/p>\n
\n\tYi Sun, Dept. of Math, University of South\nCarolina\n<\/p>\n
\n\tYanxiang Zhao, Dept.\nof Math, George\nWashington University\n<\/p>\n
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\n\tProgram:<\/b> \n<\/p>\n
\n\t1:30-2:10, Huijing Du,\n<\/p>\n
\n\tGene\nregulation and spatial mechanisms control layer formation in epidermis\n<\/p>\n
\n\t2:10-2:50, Yi Sun\n<\/p>\n
\n\tKinetic Monte Carlo Simulations of Traffic and\nPedestrian Flows\n<\/p>\n
\n\t2:50-3:30, Yanxiang Zhao\n<\/p>\n
\n\tBubble\nAssemblies in Ternary Systems with Long Range Interaction\n<\/p>\n
\n\t3:30-4, Tea break\n<\/p>\n
\n\t4-5, Man Fang\n<\/p>\n
\n\tColor,\nDrama & Symmetry\n<\/p>\n
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\n\tAbstract:<\/b> \n<\/p>\n
\n\tGene regulation and spatial\nmechanisms control layer formation in epidermis<\/b> \n<\/p>\n
\n\tHuijing Du, Dept. of Math, University of\nNebraska-Lincoln\n<\/p>\n
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\n\t\tAbstract:\nEpidermal morphogenesis, which occurs during the second half of embryogenesis,\nis the developmental process that generates a skin permeability barrier\nessential for terrestrial survival. Defects with this barrier are associated\nwith common skin disorders such as atopic dermatitis. Study of mechanisms that\ncontrol epidermal development and differentiation is therefore highly relevant\nto human health. Motivated by recent experimental observations on the role of\nOvol transcription factors in regulating epidermal development, we developed a\nmultiscale model to investigate the underlying mechanisms responsible for\nepidermal layer formation and homeostasis. We report that regulation of\nproliferation and differentiation by Ovol plays an important role in epidermal\ndevelopment. In addition, our computational analysis shows that asymmetric cell\ndivision, selective cell adhesion, and morphogen regulation work in a\nsynergetic manner to produce the well-stratified epidermal layers. Taken\ntogether, our results demonstrate that robust epidermal morphogenesis involves\na balance between proliferation and differentiation, and an interplay between\nshort- and long-range spatial control mechanisms. This principle may also be\napplicable to other complex systems of tissue development or regeneration. <\/o:p>\n\t<\/p>\n<\/span> \n<\/p>\n
\n\tKinetic Monte Carlo Simulations of\nTraffic and Pedestrian Flows<\/b> \n<\/p>\n
\n\tYi\nSun, Dept. of Math, University of South Carolina\n<\/p>\n
\n\tAbstract:\nWe employ an efficient list-based kinetic Monte Carlo (KMC) method to study 1D\nand 2D traffic flow models and 2D pedestrian flow models based on the exclusion\nprinciple and Arrhenius microscopic dynamics. 1) The traffic flow model\nimplements stochastic rules for cars\' movement based on the configuration of\nthe traffic ahead of each car. In particular, we compare two different\nlook-ahead rules: one is based on the distance from the car under consideration\nto the car in front of it, the other one is based on the density of cars ahead.\nThe 1D numerical results of these two rules suggest different coarse-grained\nmacroscopic limits in the form of integro-differential Burgers equations. The\n2D results of both rules exhibit a sharp phase transition from freely flowing\nto fully jammed, as a function of initial density of cars. However, the\nlook-ahead rule based on the density of the traffic produces more realistic\nresults. 2)? The pedestrian flow model\nimplements stochastic rules for pedestrians\' movements based on the\nconfiguration of the surrounding conditions of each pedestrian. The rules can\nreflect the pedestrians\' decisions of action such as moving forward, stopping\nto wait, lane switching, back stepping, etc. The simulation results of both
