The 9th Taiwan-Japan Joint Workshop
for Young Scholars in Applied Mathematics
March 03-05, 2018
Venue: Ger-Jyh Hall, Small lecture hall,
College of Science
National Cheng Kung University (Cheng Kung Campus)
國立成功大學成功校區，理化大樓，格致廳小講堂
Website: http://ncts.ntu.edu.tw/events_2_detail.php?nid=178
On-Line Registration: https://goo.gl/forms/kekCD7g5zGfU1Wmo2
From Taiwan:
Tamkang University
National Center for Theoretical Sciences National Taiwan University
National Central University National University of Tainan National Cheng Kung University
From Japan: Meiji University Hiroshima University Ryukoku University Tohoku University Shimane University Organizers: From Taiwan:
TKU: Jong-Shenq Guo, Yan-Yu Chen
NTU: Chuin-Chuan Chen, Chun-Hsiung Hsia NCU: Jann-Long Chern
NTHU: Dong-Ho Tsai
NCKU: Yung-fu Fang, Yu-Chen Shu, Yu-Yu Liu NUTN: Chang-Hong Wu.
From Japan:
Meiji University: Hirokazu Ninomiya, Kota Ikeda, Elliott Ginder
Hiroshima University: Yuichi Togashi
Ryukoku University: Yoshihisa Morita, Shoji Yotsutani, Tatsuki Kawakami, Yoshikazu Yamagishi
Shimane University: Mayuko Iwamoto.
Sponsors:
Taiwan:
National Center for Theoretical Sciences National Central University
National Cheng Kung University NSCMRPC
National Taiwan University National University of Tainan Tamkang University
Japan:
Department of Applied Mathematics and Informatics, Ryukoku University
Research Center for the Mathematics on Chromatin Live Dynamics, Hiroshima University Graduate School of Advanced Mathematical Sciences, Meiji University
Meiji Institute for Advanced Study of Mathematical Sciences Shimane University
Master: 33
Program UG: 5
0850~0900 Opening Ceremony PhD: 11
Saturday(03/03) Postdoc: 7
Chair: Yui Matsuda Monday(03/05)
0900~0910 Pin-Yu Wang 1640~1650 Masahiro Nakao 0900~1200 Informal Discussion
0910~0920 Shota Yamakawa 1650~1700 Xiaochen Duan
0920~0930 Yu Masuda 1700~1725 Break 1400~1700 Excursion
0930~0940 Hisashi Matsubara Chair: Lorenzo Contento
0940~0950 Ya-Lin Huang 1725~1735 Ti-Wen Lu Evaluation
0950~1000 Guan-Ting Lin 1735~1745 Yueh-Chun Kuo 1 Hirokazu Ninomiya
1000~1025 Break 1745~1755 Masami Koshino 2 Yoshihisa Morita
Chair: Jen-Hsu Chang 1755~1805 Yu-Kai Lin 3 Yuichi Togashi
1025~1035 Takuto Ogasawara 1805~1815 Ming-Hsiu Lu 4 Kota Ikeda
1035~1045 Yuki Yagasaki 6 Elliott Ginder
1045~1055 Yu-Hsun Lee Sunday(03/04) 7 Shoji Yotsutani
1055~1105 Yuka Fukase Chair: Yueyuan Gao 8 Tatsuki Kawakami
1105~1115 Yu-Shiuan Su Kabir Muhammad 9 Yoshikazu Yamagishi
1115~1140 Break Humayun 10 Mayuko Iwamoto
Chair: Shota Enomoto 0915~0930 Wei-Chiao Hsu 11 (舒宇宸) Yu-Chen Shu
1140~1150 Bing-Ze Lu 0930~0945 Kota Ohno 12 (劉育佑) Yu-Yu Liu
1150~1200 Takeru Kameda 0945~1000 Shih-Hsin Chen 13 (陳建隆) Jann-Long Chern
1200~1210 Chia-Hsin Lin 1000~1025 Break 14 (陳俊全) Chuin-Chuan Chen
1210~1220 Jo-Yun Chou Chair: Kabir Muhammad 15 (夏俊雄) Chun-Hsiung Hsia
1220~1230 Takahito Watanabe 1025~1040 Huai-hua Lu 16 (吳昌鴻) Chang-Hong Wu
1230~1240 Yen-Chen Chen Romero Llano 17 (陳彥宇) Yan-Yu Chen
1240~1330 Lunch Julian Andres 18 (郭忠勝) Jong-Shenq Guo
Chair: Gyeongha Hwang 1055~1110 David Yang 19 (蔡東和) Dong-Ho Tsai
1330~1340 Chin-Hsun Lu 1110~1125 Eduardo Jatulan 20 (史習偉) Hsi-Wei Shih
1340~1350 Riku Kanai 1125~1150 Break 21 (連文璟) Wen-Ching Lien
1350~1400 Katsuhiko Kayahara Chair: Kota Ohno 22 (郭鴻文) Hung-Wen Kuo
1400~1410 Yu-Hsiang Lan 1150~1205 Romain Amyot
1410~1420 Toshita Yamada 1205~1220 Yu-Cheng Chang Chair List
1420~1430 Yiwen Cheng 1220~1235 Pu-Zhao Kow 1 Yui Matsuda
1430~1455 Break 1235~1400 Lunch 2 (張仁煦) Jen-Hsu Chang
Chair: Chi-Jen Wang Chair: Hsin-Yi Lee 3 Shota Enomoto
1455~1505 Zhi-Haung Ke 1400~1420 Shota Enomoto 4 Gyeongha Hwang
1505~1515 Kana Mizuno 1420~1440 Shih-wei Chou 5 Shih-wei Chou
1515~1525 Ting-Yang Hsiao 1440~1500 Gyeongha Hwang 6 Lorenzo Contento
1525~1535 Koya Noda Group Photo 7 Yueyuan Gao
1535~1545 Shun-Chieh Wang 1500~1540 Break 8 Hsin-Yi Lee
1545~1555 Kazuki Ikeda Chair: Shih-wei Chou 9 Yu-Shuo Chen
1555~1620 Break 1540~1600 Yu-Shuo Chen 10 Kota Ohno
Chair: Yu-Shuo Chen 1600~1620 Yueyuan Gao 11 Kabir Muhammad
1620~1630 Yu-Hsiang Tsai 1620~1640 Hsin-Yi Lee 12 Romain Amyot
Wei-Chien Liao Lorenzo Contento
0900~0915
1040~1055
The 9th Taiwan-Japan Joint Workshop for Young Scholars
in Applied Mathematics (at NCKU)
Program
0850~0900 Opening Ceremony Master: 33 PhD: 11
UG: 5 Postdoc: 7
Saturday(03/03)
Chair: Yui Matsuda
0900~0910 Pin-Yu Wang 0910~0920 Shota Yamakawa 0920~0930 Yu Masuda 0930~0940 Hisashi Matsubara 0940~0950 Ya-Lin Huang 0950~1000 Guan-Ting Lin 1000~1025 Break
Chair: Jen-Hsu Chang
1025~1035 Takuto Ogasawara 1035~1045 Yuki Yagasaki 1045~1055 Yu-Hsun Lee 1055~1105 Yuka Fukase 1105~1115 Yu-Shiuan Su 1115~1140 Break
Chair: Shota Enomoto
1140~1150 Bing-Ze Lu 1200~1210 Chia-Hsin Lin 1210~1220 Jo-Yun Chou 1220~1230 Takahito Watanabe 1230~1240 Yen-Chen Chen 1240~1330 Lunch
Chair: Gyeongha Hwang
1330~1340 Chin-Hsun Lu 1340~1350 Riku Kanai 1350~1400 Katsuhiko Kayahara 1400~1410 Yu-Hsiang Lan 1410~1420 Toshita Yamada 1420~1430 Yiwen Cheng 1430~1455 Break
Chair: Chi-Jen Wang
1455~1505 Zhi-Haung Ke 1505~1515 Kana Mizuno 1515~1525 Ting-Yang Hsiao 1525~1535 Koya Noda 1535~1545 Shun-Chieh Wang 1545~1555 Kazuki Ikeda 1555~1620 Break
Chair: Yu-Shuo Chen
1620~1630 Yu-Hsiang Tsai
1630~1640 Wei-Chien Liao
1640~1650 Masahiro Nakao
1650~1700 Xiaochen Duan
1700~1725 Break
Focusing on Effects of Core-Histone Proteins Takeru Kameda
The 9th Taiwan-Japan Joint Workshop for Young Scholars
in Applied Mathematics (at NCKU)
2018/03/03~ 2018/03/05 at NCKU, Tainan, Taiwan
1150~1200
Mathematical Model of Complement System
Inversion motion of a self-propelled camphor rotor caused by influence from past movement
Numerical Methods of Poisson-Nernst-Plank Based Models with Parallel Implementation and Applications
Hydrodynamic Analysis of turning mechanism of Euglena gracilis by propagating a solitary wave on single flagellum
Notes on Chebyshev polynomial of the first kind
Toward an understanding of a mechanism for dynamic pattern formation in cuttlefish Droplet motion depending on the size and the rate of interfacial chemical reaction
Unraveling the Mystery of Alzheimer's Disease - A Mathematical Model for Onset and Progression Analysis of a mathematical model for interfacial behaviors under drying and aggregating processes Multi-scale Computation and Analysis for Heterogeneous Data in Epidemic Models Mathematical analysis of the propagation of rabies
Brian Reconstruction and Segmentation from CT and T1/T2 MRI Image
The Local Well-Posedness of Quantum Zakharov System in One Spatial Dimension Multiplicity of stationary solutions of a limiting SKT cross-diffusion equation Stability of stationary solutions of a limiting SKT cross-diffusion equation
Uniqueness proof of stationary solutions of a limiting SKT cross-diffusion equation Stability of solitary waves for the Zakharov equations in one space dimension The scattering of the Klein-Gordon-Zakharov system
Estimates of population sizes for traveling wave solutions of Lotka-Volterra competition systems with non-local diffusion
The effect of diffusions on the Lotka-Volterra prey-predator model in spatially heterogeneous environments
Traveling wave solution of a 3-species competition-diffusion model with weal competition Reaction-diffusion equation in growing region
Prostate Pathology Image Classification
Parallelization of a Code for Solving Multidimensional Cardiac Models Mathematical modeling for the inverse imaging of phononic crystals
A Theoretical Study of the Internal Structure and Dynamics of Single Nucleosomes Online Selling Forecast - Part I - Factor Analysis
Online Selling Forecast- Part II - Model Selection
Analysis of Sand Dune Dynamics under unidirectional steady flow Using Lattice Boltzmann Method
An Efficient Contour Integral Based Eigensolver for Surface Plasmon Simulations Experimental Study of Situation-Dependent Task Allocation in Camponotus japonicus The variable-yield model with the wall growth under the exchange rate
Chair: Lorenzo Contento 1725~1735 Ti-Wen Lu 1735~1745 Yueh-Chun Kuo 1745~1755 Masami Koshino 1755~1805 Yu-Kai Lin 1805~1815 Ming-Hsiu Lu Sunday(03/04)
Chair: Yueyuan Gao
Kabir Muhammad Humayun 0915~0930 Wei-Chiao Hsu 0930~0945 Kota Ohno 0945~1000 Shih-Hsin Chen 1000~1025 Break
Chair: Kabir Muhammad
1025~1040 Huai-hua Lu Romero Llano Julian Andres 1055~1110 David Yang 1110~1125 Eduardo Jatulan 1125~1150 Break
Chair: Kota Ohno
1150~1205 Romain Amyot
1205~1220 Yu-Cheng Chang
1220~1235 Pu-Zhao Kow
1235~1400 Lunch
Chair: Hsin-Yi Lee
1400~1420 Shota Enomoto
1420~1440 Shih-wei Chou
1440~1500 Gyeongha Hwang
Group Photo
1500~1540 Break
Chair: Shih-wei Chou
1540~1600 Yu-Shuo Chen 1600~1620 Yueyuan Gao 1620~1640 Hsin-Yi Lee 1640~1700 Lorenzo Contento 1830~ Banquet Chair List
Monday(03/05) 1 Yui Matsuda
0900~1200 Informal Discussion 2 (張仁煦) Jen-Hsu Chang
1400~1700 Excursion 3 Shota Enomoto
10 Mayuko Iwamoto 20 (史習偉) Hsi-Wei Shih 4 Gyeongha Hwang Evaluation 11 (舒宇宸) Yu-Chen Shu 21 (連文璟) Wen-Ching Lien 5 Shih-wei Chou 1 Hirokazu Ninomiya 12 (劉育佑) Yu-Yu Liu 22 (郭鴻文) Hung-Wen Kuo 6 Lorenzo Contento
2 Yoshihisa Morita 13 (陳建隆) Jann-Long Chern 7 Yueyuan Gao
3 Yuichi Togashi 14 (陳俊全) Chuin-Chuan Chen 8 Hsin-Yi Lee
4 Kota Ikeda 15 (夏俊雄) Chun-Hsiung Hsia 9 Yu-Shuo Chen
6 Elliott Ginder 16 (吳昌鴻) Chang-Hong Wu 10 Kota Ohno
The mechanism behind traveling wave interaction in a reaction-diffusion system Modeling of the effect of farming technology in the Neolithic transition of Europe
Origami Pattern Design for Building 3D Irregular Shapes with a Robot System
Existence and symmetric properties of solution to the Neumann problem of Hardy-Sobolev equation with Hardy potential
Existence and Instability of Traveling Pulses of Keller-Segel System with Nonlinear Chemical Gradients and Small Diffusions Existence and uniqueness results for a first order conservation law involving a Q-Brownian motion The generalized Riemann solver to a multi-lanes model in traffic flows
2D semantic segmentation assisted point clouds segmentation
Schauder's Estimates & Asymptotic Behavior of Sol'ns of Stationary Navier-Stokes Eqn in Exterior Domain
Large time behavior of the solution to compressible Navier-Stokes equation around space-time periodic flow
Global Well-posedness of Cauchy problem for Compressible Euler equations in Transonic Nozzle Flow Mathematical model and Decision
Dispersion relations for some periodic quantum graphs
The role of the binding domain of the enzyme Pin1 in a system Linear Algebra and Dynamical System for Control Theory Global feedback to oscillatory
DNA Topology-Topological Enzymology for Site-Specific Recombination and the Tangle Model
How to Plan Optimize Your Loan
Thistlethwaite's method to the FULRD problem of Rubik's cube A Survey of Curved Document Image Rectification
A description of object in space and 3D point cloud segmentation
A mutation-selection model
0900~0915
1040~1055
The 9th Taiwan‐Japan Joint Workshop for Young Scholars in Applied Mathematics (at NCKU)
Date: 2018‐03‐03 ~ 2018‐03‐04 Venue: Ger‐Jyh Hall, Small lecture hall, College of Science National Cheng Kung University (Cheng Kung Campus) 國立成功大學成功校區，理化大樓，格致廳小講堂 Website: http://ncts.ntu.edu.tw/events_2_detail.php?nid=178 Online Registration: https://goo.gl/forms/kekCD7g5zGfU1Wmo2 Title and Abstract: Saturday (03/03) ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M1‐(王品瑜) Pin‐Yu Wang" <benquanmany@gmail.com>, NCKU Title: The Local Well‐Posedness of Quantum Zakharov System in One Spatial Dimension Abstract: In this talk, we will a little introduce the local well‐posedness of QZ system in one dimension.The main result here which was introduced by YF Fang, HW Shih, KH Wang, 2017, and the main idea here is from J. Ginibre, Y. Tsutsumi, G. Velo, 1997. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M1‐Shota Yamakawa" <t17m008@mail.ryukoku.ac.jp>, Ryukoku U"M1‐Yu Masuda" <t17m005@mail.ryukoku.ac.jp>, Ryukoku U ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
"M2‐Hisashi Matsubara" <t16m008@mail.ryukoku.ac.jp>, Ryukoku U ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐(黃雅琳) Ya‐Lin Huang" <wul422115@gmail.com>, <l16044088@mail.ncku.edu.tw>, NCKU Title: Stability of solitary waves for the Zakharov equations in one space dimension Abstract: In this talk, we discuss the method to show the stability of the solitary wave solution. We apply the variational method introduced by Cazenave and Lions [2] to the coupled system of the Schrödinger equation. And use the proof to evolve the proof for Zakharov equations. References: [1] M. Ohta, Stability of solitary waves for the Zakharov equations in one space dimension, 数理解析研 究所講究録 (1995), 908: 148‐158. [2] T. Cazenave and P. L. Lions, Orbital stability of standing waves for some nonlinear Schrödinger equations, Commun. Math. Phys. 85 (1982), 549‐561. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
"M3‐(林冠廷) Guan‐Ting Lin" <L16044054@mail.ncku.edu.tw>, NCKU Title: The scattering of the Klein‐Gordon‐Zakharov system. Abstract: We would consider the 3‐dimension Klein‐Gordon‐Zakharov system with radial symmetry and given the theorem about small energy scattering.In the proof,we use the strichartz estimate to get the contraction mapping. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M‐Takuto Ogasawara" <cs171001@meiji.ac.jp>, Meiji U
"M2‐(蘇育萱) Yu‐Shiuan Su" <sensicanzlaura@gmail.com>, NUK Title: Unraveling the Mystery of Alzheimer's Disease ‐ A Mathematical Model for Onset and Progression Abstract: Alzheimer's disease (AD) is a progressive and irreversible neurodegenerative disease that destroys memory and eventually the cognitive skills. Despite the extensive research, the pathogenesis of AD remains incompletely understood and no effective cure is available till now. Hence, mathematical models (mathematics combined with numerical methods) can serve as a powerful tool to help us to know better the complex cross‐talks involving multiple cell types during disease progression. AD is primarily characterized by the presence of extracellular senile plaques consisting of amyloid‐beta peptides (A‐beta) and intracellular neurofibrillary tangles consisting of tau protein. In this talk I will present a mathematical model of AD based on a system of differential equations and the amyloid hypothesis and the model involves A‐beta peptides, microglia, astrocytes and neurons. The novelty is that I also define a health indicator according to the model to serve as the indicator of the AD global development. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M‐Yuki Yagasaki" <cs171013@meiji.ac.jp>, Meiji U
"M2‐(李昱勳) Yu‐Hsun Lee " <andylee0914.tw@gmail.com>, NCKU Title: Multi‐scale Computation and Analysis for Heterogeneous Data in Epidemic Models Abstract: I worked on infectious disease model in the period of master study. The reason why I study in this model is that Tainan experienced severe dengue epidemics in 2015. According to the open data, some interesting issues are found. First, the result shows that the distance between new patients and existed patients obeys exponential distribution. Second, we use SEIR model and adjust the parameters in the smooth effective contact rate to fit historical data. By comparing the optimized effective contact rate and the epidemic prevention works by the government, the decay after prevention works gives a positive evidence for those works of government. In the future, we will integrate the multi‐scale method with geographic map data, and establish different materials such as social information, climate, community to establish a multi‐scale heterogeneous data epidemic model and discuss its computational efficiency and related error analysis. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M‐Yuka Fukase" <cs171010@meiji.ac.jp>, Meiji U
"M1‐(呂秉澤) Bing‐Ze Lu" <jackie84061258@gmail.com>, National Cheng Kung University Title：Brian Reconstruction and Segmentation from CT and T1/T2 MRI Image Abstract: Nowadays, according to the advanced medicine progress, clinicians highly depend on the medical imaging technique which allows them to visualise the representations of the interior patient body, such as computed tomography (CT) and magnetic resonance imaging (MRI). However, these medical images are outputted to the two‐dimensional pictures which may not provide the sufficient information for doing three‐dimensional computation research. Due to the previous reason, we would like to collect these images from the brain CT or MRI via the machine learning algorithms to obtain the segmentation and reconstruction of the brain imaging. During this research work, there's some noise after processing. Therefore, we plan to develop a suitable algorithm including the cutting edge concept of image processing, the statistical method based on the solid mathematical definition in order to get the better results. Finally, we would like to represent an algorithm, which may work on CT image and T1/T2 MRI image to generate high‐quality imaging for the three‐dimensional object. Hopefully, this research will be able to deliver a promising framework to aid clinicians to make the more precise decision.(Joint work with Yu‐Chen Shu and Dean Chou.) Keywords: T1/T2 MRI, CT, brain extraction, brain segmentation, 3D reconstruction ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐Takeru Kameda" <m164940@hiroshima‐u.ac.jp>, Hiroshima U Title: A Theoretical Study of the Internal Structure and Dynamics of Single Nucleosomes Focusing on Effects of Core‐Histone Proteins Abstract: Eukaryotic chromatin is composed of nucleosomes consisting of 147 base pairs of DNA and 4 types of core‐histone proteins such as H2A, H2B, H3, and H4 [1]. The amino‐acid sequences of these histones have been widely conserved among eukary‐otes. DNA is wrapped around the core histone to form a nucleosome structure that make the chromatin compact and enable long DNA to be conned in the nucleus. The positioning of nucleosomes on DNA sequences and their structural stability influences chromosome dynamics and functions [2]. Nucleosomes often change their position through their reconstitution. Here, the binding and dissociation of different types of histone are regulated by different proteins [3, 4], and the exchange of H2A/H2B complex occurs more frequently than that of the other. From these facts, the presence or absence of each histone may contribute to the stability of nucleosome. However, the details were unknown. In this study, we performed fully‐atomic molecular dynamics simulation of several types of nucleosomes to analyze the contribution of each core‐histone to nucle‐osome structure stability. We particularly focused on the characteristics of typical conformations, free‐energy landscape structures, and global correlative motions of the nucleosome containing all histone, that lacking one H2A/H2B hetero‐dimer, and that lacking one H3/H4 hetero‐dimer. References [1] Davey, Cu. A., et al., Journal of Molecular Biology 319.5 (2002): 1097‐1113. [2] Jiang, C, and B. Franklin P., Nature Reviews Genetics 10.3 (2009): 161‐172. [3] Formosa, T., Biochimica et Biophysica Acta (BBA)‐Gene Regulatory Mechanisms 1819.3 (2012): 247‐255. [4] Bowman, A et al., Molecular cell 41.4 (2011): 398‐408. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
"M1‐(林佳昕) Chia‐Hsin Lin" <g053179053116@gmail.com>, CCU Title: Online Selling Forecast ‐ Part I ‐ Factor Analysis Abstract: Forecasting store sales is one of the key aspects of the retail loan evaluation. A reasonable credit limit can be evaluated by precise sales estimations, and so the utilization of bank funds can be raised. Small online business financing makes the online stores be available to check their loan limits at any time, and also bank funds can be directly transferred to the merchant‐related accounts. Online shopping mall combined with commercial credit uses of embedded online services and technology capabilities to achieve the integration of online financial services. Our problem is to establish sales‐forecasting model through the six months of sales orders, customer evaluations, advertizing costs and other information. In part I, we will describe how to analyze the most representative factor. In part II, we use several statistical prediction results (random forest, neural network, …) for comparison, and find a suitable prediction model for this data. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M1‐(周若澐) Jo‐Yun Chou" <zoe9101@gmail.com>, CCU Title: Online Selling Forecast‐ Part II ‐ Model Selection Abstract: Forecasting store sales is one of the key aspects of the retail loan evaluation. A reasonable credit limit can be evaluated by precise sales estimations, and so the utilization of bank funds can be raised. Small online business financing makes the online stores be available to check their loan limits at any time, and also bank funds can be directly transferred to the merchant‐related accounts. Online shopping mall combined with commercial credit uses of embedded online services and technology capabilities to achieve the integration of online financial services. Our problem is to establish sales‐forecasting model through the six months of sales orders, customer evaluations, advertizing costs and other information. In part I, we will describe how to analyze the most representative factor. In part II, we use several statistical prediction results (random forest, neural network, …) for comparison, and find a suitable prediction model for this data. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐Takahito Watanabe" <m163042@hiroshima‐u.ac.jp>, Hiroshima U Title: Analysis of Sand Dune Dynamics under unidirectional steady flow Using Lattice Boltzmann Method Abstract: Understanding of the dynamics of sand dunes, which are the largest sand topographies on the earth, have been developed through field observations, laboratory experiments, and numerical modeling. However, sand dunes require enormously long time for their movement, in addition, their dynamics are driven by the complex interactions between fluid and sand particles along dune surface. Therefore, various aspects of full‐scale dynamics of dunes have little been elucidated until now. In this research, we focus on the Barchan dunes which have a typical shape, the crescentic form, of dunes. They have been observed also on the surface in other planets such as Mars and Titan in recent years. We use a mathematical model combining fluid movement and sediment transport in order to elucidate the mechanism of forming and
dunes with changing the Reynolds number Re, which is defined by the ratio between the unidirectional inflow speed and the initial height of dunes. As a result, the dynamics of the fluid were divided into three characteristic patterns according to Re. In the case of low Re, no vortex was generated in the flow field and the height of dunes monotonically decreased with time. On the other hand, the steady vortices were observed behind dunes within an appropriate range of Re in which case the steady shape of Barchan dunes was kept for long time. Reference: [1] B. Chopard and A. Masselot, Future Generation Computer Systems 16, 249 (1999) ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐(陳彥禎) Yen‐Chen Chen" <yanjen224@gmail.com>, NTU Title: "Prostate Pathology Image Classification" Abstract: Deep learning has recently been proved to be very effective for image recognition since 2012. Medical images, as one of the most important category of images, however, hasn't been well studied with deep learning. Researchers encounter problems like lack of data number and robustness, extremely large data size, etc. Pathology images are images of dyed human tissue, which is often used for cancer diagnosis. In this research, I use various of deep learning techniques to classify prostate pathology images of different grades. The accuracy we achieved has been the best so far to our knowledge. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐(呂金勳) Chin‐Hsun Lu" <l16041056@mail.ncku.edu.tw>, NCKU Title: Parallelization of a Code for Solving Multidimensional Cardiac Models Abstract: In our work, we develope a package method to simulate the action potential wave propagation on cardiac tissues and use the OpenMP and CUDA technique to accelerate the code. We consider the monodomain model in our project. The monodomain electrocardiac wave equation is a reaction‐diffusion equation and the reaction term is goverened by a cardiac cell model which. consists of many ordinary differential equations. For a preliminary study, we use the finite difference method to discretize the differential equations. To improve the performance, we use the OpenMP and CUDA to accelerate our code. The packages can be used to study medical problems, for example, phenomena related to the cardiac fibroblasts, ion‐channels related heart disease, etc in the future. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M‐Riku Kanai" <ukir.kni@gmail.com>, Meiji U
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐(鄭怡玟) Yiwen Cheng" <chywen18@gmail.com>, NUK Title: Mathematical Model of Complement System Abstract: When pathogens attack our body, immune system will avoid the invasion. We usually classify immune system into innate and adaptive immune systems. Complement system is made up of proteins. After being activated, complements trigger the following functions: phagocytosis (by opsonizing antigens), inflammation (by attracting macrophages and neutrophils), membrane attack (by rupturing cell wall of bacteria) and coagulation (by agglutinating pathogens). Complement system also connects innate and adaptive immune system. Certain substances of complements could be the indicator of effectiveness of
"M2‐Katsuhiko Kayahara" <m161833@hiroshima‐u.ac.jp>, Hiroshima U ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐(藍鈺翔) Yu‐Hsiang Lan" <R05246001@g.ntu.edu.tw>, NTU Title: Numerical Methods of Poisson‐Nernst‐Plank Based Models with Parallel Implementation and Applications Abstract: Poisson‐Nernst‐Plank (PNP) equation is a well‐known model for describing ion transport in many physical and biological phenomena. Due to the ionic size, steric repulsion may be caused by crowded ions in several biological systems, so the modified PNP with additional steric terms has been proposed, which are nonlinear, highest‐order derivatives terms, and coupled by all kinds of ions. I’ll present spectral element schemes and implementation for solving unsteady and steady‐state PNP‐steric model in the Argonne‐developed scalable high‐order software package, NekCEM. I’ll also demonstrate convergence studies for validating our schemes, provided with some preliminary results of applications to ion transport simulations with a real protein structure of KcsA potassium channel. The complex geometry is taken care by imposing internal boundary condition, and simulations are performed on more than thousands of CPU cores on the Argonne Leadership Computing Facility (ALCF). ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
"M2‐Toshita Yamada" <m163265@hiroshima‐u.ac.jp>, Hiroshima U Title: Hydrodynamic Analysis of turning mechanism of Euglena gracilis by propagating a solitary wave on single flagellum Abstract: Euglena gracilis is a microorganism swimming with the single flagellum stemming from the head (, the direction of the swimming). This way of swimming is different from other microorganisms such as E. Coli and sperms. The flagellum motion of E. gracilis during swimming, especially during turning mechanism, has not been clarified. We analyzed the swimming Euglena, and found characteristic flagellum motion. In particular, Euglena had a characteristic motion when the body changes the direction. In this situation, the flagellum is not twisting around the body but extends off the body and a solitary wave is propagated from the base to the tip, by which a torque to turn is generated. We constracted mathematical models and calculate the hydrodynamic force by several methods. We report differences in natures of several models based on calculated result. Efficiency of these models and comparison with experiments will be discussed. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M1‐(柯智煌) Zhi‐Haung Ke" <shadowblue597@gmail.com>, NCKU Title: Notes on Chebyshev polynomial of the first kind Abstract: In this talk, I shall present the Dickson polynomial of the first kind, the Chebyshev polynomial of the first kind and the Stirling numbers. Especially, I will refer to present their relations and their application to the Riordan group. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M‐Kana Mizuno" <true.blue.sky20@gmail.com>, Shimane U Title: Toward an understanding of a mechanism for dynamic pattern formation in cuttlefish Abstract: Some mechanism of pattern formation on animal skin has been understood by reaction diffusion equation such as Turing model. In this model, the spatial pattern changes with time evolution, but it converges to a stable pattern. On the other hand, pattern formation of cephalopods changes instantaneously, and the time scale is fast compared with the Turing pattern formation. In the case of cephalopods, the patterns are changed by muscle contraction around pigment cells. In this study, toward understanding pattern formation in cuttlefish, as the first step, we aim to build a simple model by capturing the characteristics of cuttlefish’s skin structure. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M3‐(蕭定洋) Ting‐Yang Hsiao" <r04221011@ntu.edu.tw>, NTU Title: Estimates of population sizes for traveling wave solutions of Lotka‐Volterra competition systems with non‐local diffusion. Abstract: For the two species Lotka‐Volterra discrete competition‐diffusion system, Chen‐Hung‐Hsiao obtained total mass estimates for the traveling wave solutions. In this talk, we are interested in the problem if similar estimates also hold for the traveling wave solutions of Lotka‐Volterra competiton systems with
"M2‐Koya Noda" <t16m006@mail.ryukoku.ac.jp>, Ryukoku U
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐(王舜傑) Shun‐Chieh Wang" <fashionalhero@yahoo.com.tw>, NTU
"M‐Kazuki Ikeda" <cs171007@meiji.ac.jp>, Meiji U Title: Reaction‐diffusion equation in growing region Abstract: When we study reaction‐diffusion equations, we usually treat them in a fixed domain. However, it is often observed that distributions of chemical substances fluctuate by the effect of reaction and diffusion, while the domain varies in biological phenomena, such as animal coat pattern. Thus, it is natural to consider the effect of changes of domain. In this talk, we propose one of the manners of growing domain and study its property. I will apply it to a model for pattern formation of snakes’ skin that was proposed by Murray [1]. [1] James D. Murray (2003), “Mathematical Biology II: Spatial Models and Biomedical Applications ” ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐(蔡宇翔) Yu‐Hsiang Tsai" <mikemike10212003@gmail.com>, NTU Title: A divide‐and‐conquer Contour Integral Eigensolver Abstract: Implement the contour integral eigensolver with a divide‐and‐conquer method. The eigensolver based on Contour Integral is a powerful tool to solve the whole eigenpairs in a specific region. For some reasons, we need to split the interval. Thus, how to divide the interval without losing eigenpairs is a significant problem. Moreover, apply the conquer technique to pick up those eigenpair lost in the dividing step. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐(廖為謙) Wei‐Chien Liao" <b00201028.ntu@gmail.com>, NTU Title: An Efficient Contour Integral Based Eigensolver for Surface Plasmon Simulations Abstract: In this talk, I will introduce the surface plasmon problem modelled by the Maxwell equations, derive the corresponding eigenvalue problem from the model equations and discuss my research on developing an efficient contour integral based eigensolver to the problem. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M1‐Masahiro Nakao" <m175703@hiroshima‐u.ac.jp>, Hiroshima U Title: Experimental Study of Situation‐Dependent Task Allocation in Camponotus japonicus Abstract: Activity for performing several kinds of tasks by ants in each colony shows hierarchical structures. That is, some fraction of ants in a colony are more diligent to fulfill each task than the remaining part of ants in the same colony. In this sense ants in a colony can be divided into two types, lazy and diligent based on their degree of activity on a task. When ants in a colony are separated into two groups, the lazy group and the diligent group before separation, some ants in the lazy group become more diligent than before separation, and some ants in a diligent group become more lazy than before [1]. This behavioral change is well explained by Response Threshold Model [2]. However, there is not enough argument whether the Response Threshold Model is applicable when the separated ants groups are recombined again to one group. We observed behavioral change of each individual ant when recombining the separated ant groups of Camponotus japonicus. We confirmed the behavioral changes which can be explained by the Response
in the monomorphic ant, Myrmica kotokui ”, J Ethol, 31:61‐69, (2013) [2] E.Bonabeau,G.Theraulaz and J.‐L. Deneubourg, “Quantitative study of the fixed threshold model for the regulation of division of labor in insect societies ”, Proc. R. Soc. Lond. B, 263:1565‐1569, (1996) ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "M2‐(段嘯晨) Xiaochen Duan" <duanxiaochen@yahoo.com>, NTHU Title: The variable‐yield model with the wall growth under the exchange rate Abstract：In this talk, I will talk about the exchange situation with the wall growth by using the variable‐yield model. We will review the traditional fixed‐yield model by Paul Waltman and give our motivation for studying the variable‐yield model. After that, we will give some mainly theoretical and numerical results. We can take the classical method from the boundedness to develop our analysis, such as locally stability analysis, some global stability analysis. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "UG4‐(盧提文) Ti‐Wen Lu" <ivy19951114@gmail.com>, NCKU Title: DNA Topology‐Topological Enzymology for Site‐Specific Recombination and the Tangle Model Abstract: DNA Topology began in the last decades of the 20th century, and is still the focus of biophysical discussions. These all started from a simple question about the spatial structures of DNA, which opened the door to an interesting research area for both Biology and Mathematics. In this talk, I will show you Topological aspects of DNA structures that will provide an insight into biochemical mechanisms. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "UG4‐(郭玥均) Yueh‐Chun Kuo" <zxcv9869@gmail.com>, NCKU Title：How to Plan Optimize Your Loan Abstract：To discuss that how to arrange the principal repaid more, during the loan period and analyze the amortization schedule, which shows the interrelationships between the balance, principal payments, and interest payments over the duration of a loan. Then show that how to use the amortization schedule in our reality. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ UG4‐Masami Koshino" <t130034@mail.ryukoku.ac.jp>, Ryukoku U Title: Thistlethwaite's method for the FULRD problem of Rubik's cube Abstract: Rubik's cube group $G$ is a finite group of order $4.3*10^{19}$. Rokicki et al. (2010) showed that in the FTM(Face Turm Metric), the diameter of G is 20, which was called God's number. It is known that the cube can be solved by the moves in only 5 faces, for example F(forward), U(up), D(down), L(left), and R(right). That is, the 90 degree move in the back face B can be reproduced by some combinations of F, U, L, R and D's. Our task is to estimate the diameter of G in the FULRD‐FTM metric, which we call FTM5. The classical by M.Thistlethwaite can be applied directly to FTM5. It considers a sequence of subgroups G = G0 > G1 > G2 > G3 > G4=id, and calculate the sum of the diameters of G/G1, G1/G2, G2/G3, and G3/G4=G3. In the ordinary FTM, which we denote by FTM6, the sum of the diameters is 7+10+13+15=45 (Thistlethwaite, 1981), whereas in FTM5, the sum of the diameters is 11+11+13+16=51. The diameters G/G2 and G2/G4=G2 give better estimate of God's number. In FTM6, diam(G/G2) + diam(G2)
= 12 + 18 = 30 (H. Kociemba, 1995). In FTM5, we have diam(G/G2) + diam(G2) = 14 + 18 = 32. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "UG2‐(林育愷) Yu‐Kai Lin" <stephen359595@gmail.com>, NCU Title: A Survey of Curved Document Image Rectification Abstract: Optical Character Recognition (OCR) is widely‐known in modern image processing; however, the annoying problem is that OCR may fail in dealing with document images of distortion occasionally. In this discussion, we will expound some methods of curved document image rectification. Additionally, we will discuss a model associated with distorted document images, and apply this model to each method mentioned above. With some experimental results, we will analyze the difference of each method in detail, and eventually make our own opinion. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "UG3‐(呂明修) Ming‐Hsiu Lu " <hugo572G@outlook.com>, NCU Title: A description of object in space and 3D point cloud segmentation Abstract: In this talk, I will introduce a way to descript the object in space – point cloud. At the same time, I will focus on the goal which I be asked to hit and make discussion of the current progress and future work. In discussion, normal and curvature will be the principal mathematical tool. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
Sunday(03/04)
"D‐Kabir Muhammad Humayun" <kabir@meiji.ac.jp>, Meiji U Title: Modeling of the effect of farming technology in the Neolithic transition of Europe Abstract: The Neolithic transition is a demographic shift from hunter‐gatherers to farmers, which is one of the major transformations in the course of human evolution. Archeological evidence of Neolithic transition suggests that expanding velocity of farmers is roughly constant [1,2]. To understand such phenomenon, many theoretical attempts have been progressed through mathematical modeling [2]. Existing modeling approaches on Neolithic transition indicates that expanding velocity is faster than the observed one. For understanding of this difference, we propose a three‐component reaction‐diffusion system which involves two different types of farmers: sedentary and migratory ones [3]. Moreover, we introduce the influence of farming technology on the spread of farmers. Our goal is to study the relation between the expanding velocity and farming technology. In this talk, we focus on the one‐dimensional traveling wave solution with minimal velocity when the expanding pattern of farmers is radially symmetric. Finally our model suggests that the minimal velocity of traveling waves explains the spreading velocity of farmers when expanding pattern exhibits radial symmetry. Numerical result reveals that the minimal velocity of traveling wave solutions becomes slower when farming technology is suitably developed [4]. Furthermore, we address the[1] A. J. Ammerman and L. L. Cavalli‐Sforza, Measuring the rate of spread of early farming in Europe, Man, New Series, Vol. 6, No. 4, 674‐688 (1971) [2] A. J. Ammerman and L. L. Cavalli‐Sforza, The Neolithic transition and the genetics of populations in Europe, Princeton University Press, Princeton (1984) [3] J. Elia_s, M. H. Kabir and M. Mimura, On the well‐posedness of a dispersal model of farmers and hunter‐gatherers in the Neolithic transition, Mathematical Models and Methods in Applied Sciences, Vol. 28, No. 2, 195 ‐ 222 (2018). [4] M. H. Kabir, M. Mimura and J. C. Tsai, Spreading waves in a farmers and hunter‐gatherers model of the Neolithic transition in Europe, in preparation. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "D3‐(許惟喬) Wei‐Chiao Hsu " <math0122control1017@gmail.com>, NCKU Title : Linear Algebra and Dynamical System for Control Theory Abstract : In this talk, I'll introduce some not‐so‐common concepts in the course of linear algebra and dynamical systems, but they are of great use in Control Theory. And I will give an example to show what the meaning of control is. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "D‐Kota Ohno" <aiko.shiawase20x@gmail.com>, Meiji U Title: Global feedback to oscillatory reaction diffusion system with Belousov‐Zhabotinsky reaction Abstract: Pattern dynamics that is observed in chemical reaction, biology and physiology et al. has been explained by using reaction diffusion systems (RD system). However, we have not understood sufficiently that we control patterns in oscillatory RD system[2]. So, it is an important problem for understanding pattern dynamics to give feedback control to RD system. Swinney et al. reported that photo‐sensitive Belouzov‐Zhabotinsky(BZ) reaction transformed a rotating spiral wave to a labyrinthine standing‐wave pattern by giving periodic light stimulation[3]. On the other hand we reported theoretical research. If we give global feedback to the activator of RD system, we can observe hexagon pattern and stripe pattern stably. (These patterns are unstable normally.)[1, 4] Under the above background, we tried to apply global feedback control system to photo‐sensitive BZ reaction. At first, we considered to give global feedback to inhibitor of Oregonator model in order to adapt to BZ reaction. In this system, we observed standing wave oscillation. And we can approach feedback system to 3‐component RD system. So we might expect that this standing wave is a natural behavior of BZ reaction system unlike the case of Swinney's experiment. By considering reducted‐ODE system, we consider that this standing wave oscillation relates to period‐doubling bifurcation. And we tried to observe corresponding results by using real BZ reaction. References [1] K. Kashima，T. Ogawa and T. Sakurai，"Selective pattern formation control: Spatial spectrum consensus and Turing instability approach”，Automatica， 56，(2015)． [2] A. Mikhailov and K. Showalter，"Control of waves, patterns and turbulence in chemical systems"，Physics Reports，425，79‐194，(2006)． [3] Valery Petrov，Qi Ouyang and Harry L. Swinney，"Resonant pattern formation in a chemical system" Nature，388，655‐657．(1997)． [4] Y. Umezu，T. Ogawa，K. Kashima，Selective Stabilization of Unstable Standing Waves in a Reaction‐
diffusion System，Transactions of the Society of Instrument and Control Engineers，51(2)，110‐119，(2015). ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "D3‐(陳世昕) Shih‐Hsin Chen" <d03221002@ntu.edu.tw>, NTU Title: Synchronization and Kuramoto Model Abstract: In this talk, I will introduce some phenomenon of synchronization and the first order Kuramoto model. The sufficient condition of frequency synchronization will also be contained in this presentation. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "D3‐(呂懷華) Huai‐hua Lu" <r01221013@ntu.edu.tw>, NTU Title: A mutation‐selection model Abstract: In a paper of King‐Yeung Lam and Yuan Lou, they considered a PDE model constructed by the spatial variables and a trait variable α which represents the mutation. The environment is spacially heterogeneous but temporally constant. The diffusion rate in the space variable is exactly α. They proved that for each ε > 0 the correspnding steady state, u , will converge to the eigenvector of a corresponding problem with lowest α. In this talk, we consider the dilusion rate with a more general form, i.e. a function of α, H(α). References [1] King‐Yeung Lam, Yuan Lou, "An integro‐PDE model for evolution of random dispersal", Journal of Functional Analysis. Volume 272, Issue 5(2017). ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "D‐Romero Llano Julian Andres" <jaromero_18@hotmail.com>, Meiji U Title: Origami Pattern Design for Building 3D Irregular Shapes with a Robot System Abstract: Today, the ancient art of paper‐folding formally known as origami has attracted the attention of the scientific community, due to its applications in vast number of fields, such as: air‐spatial panels, medicine, architecture, and packaging. Be able to do automatic paper‐folding using a robot has been a challenge for almost 20 years.
For a human being, that has a vast number of censoring systems, creating a three‐dimensional (3D) origami figures, is in many occasions very simple. On the other hand, for a robot, that has a limited number of reachable movements and censoring, the complexity in a crease pattern plays an important role to determinate which patterns can be folded by the robot.
The origami patterns from previous works were intended to be assembled by hand and have folds that are very difficult to execute with a robot due to handling problems. In in our previous work [1], a crease pattern design methodology was proposed to create 3D shapes based in surface of revolution and able to be folded by a robot. This methodology uses a combination of simple folds with gluing segments to simplify the crease pattern. In this methodology, the crease patterns are created from a two‐dimensional (2D) profile,
shapes it is limited to only figures based in surface of revolution.
In this paper, a novel methodology to design crease patterns of irregular shapes is proposed. This methodology is created from the surface of revolution methodology, but instead of having a single profile, we have two or more. The profiles are extracted directly form a STL file and used to create the crease pattern. The method uses the spatial information of the vertices to perform a triangulation, preserving the cylindrical projection that is required to generate symmetrical gluing areas required by the robot to perform an automatic folding. Several examples are shown to demonstrate the reliability of this crease patterns. Apart of this, a general solution is exposed to applying this methodology to any type of shapes. This methodology not only can be used to perform automatic folding, but also can be used to simplify complex crease patterns to be made by hand and reduce the time to create these shapes. [1] J. A. Romero, L. A. Diago, and I. Hagiwara, Norigami Crease Pattern Model Design Based on Surfaces of Revolution, ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, pp V05BT08A047‐‐V05BT08A047, 2017. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "D2‐(楊大緯) David Yang" <l18051015@mail.ncku.edu.tw>, NCKU Title: Mathematical model and Decision Abstract: We study the war of two armies under some hypothesis, write down the simultaneous differential equations, and solve it. Next we observe the behavior of the solutions, and find out the discriminate of the simultaneous differential equations. The discriminate tell us which team wins. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "D2‐Eduardo Jatulan" <eojatulan@up.edu.ph>, NSYSU Title: Dispersion relations for some periodic quantum graphs Abstract: We study the periodic spectrum of some differential operators, in particular the Schrödinger operator acting on infinite polygonal graphs. Using Floquet‐Bloch theory, we derive and analyze on the dispersion relations of the periodic quantum graph generated by triangles and rectangles. The analytic variety, also called Bloch variety, gives the spectrum of the differential operators. Furthermore, it is well known that there are 11 types of Archimedean tilings in the plane. We take two of them, the trihexagonal tiling (3,6,3,6) and truncated hexagonal tiling (3,12,12). Through a systematical characteristic function method, we are able to derive the dispersion relation on the graphs formed by these tilings. We note that these dispersion relations are surprisingly simple, making it possible for further analysis. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "D2‐Romain Amyot" <romain‐amyot@hiroshima‐u.ac.jp>, Hiroshima U Title: The role of the binding domain of the enzyme Pin1 in a system. Abstract: The prolyl isomerase Pin1 is a two‐domain enzyme consisting of a reactive domain accelerating reactions of some proteins and a binding domain which binds its targets. It is thought that Pin1 helps the folding of proteins and thus alters their shape and their functions. Indeed, proteins should adopt a specific conformation to carry out their roles, then, Pin1 could act as a regulator by activating proteins. In vitro
experiments suggest the binding domain binds to a site in the substrate and the reactive domain catalyses another site. The binding domain is thus thought to bring the reactive domain near its substrates enhancing the reactivity. But how is the reactivity in a system where many Pin1 molecules interact with many substrate molecules ? The overall reactivity should depend on several parameters including the number and the structure of molecules and the binding affinity. Considering an abstract model consisting of substrates which switch between a folded state and an unfolded state within reactions with Pin1 molecules, we aim to infer some properties in the role of the binding domain on the overall dynamics. Especially, we are interested in its role in cases ranging from systems with an excess of Pin1 molecules to systems with an excess of substrate molecules since these situations are present in some diseases as cancers (over‐expression) and Alzheimer's disease (down‐regulation). Using stochastic simulations, we observe that the distribution of active and inactive substrates at the steady state can vary a lot regarding the number of molecules. In particular, for an excess of either Pin1 molecules or substrate molecules, the distribution resembles those of the case without considering the binding suggesting that the effect of the binding domain is neglected if one of the reactants are in excess over the other. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "D‐(張育晟) Yu‐Cheng Chang", <andyyczhang@gmail.com>, NCU Title: 2D semantic segmentation assisted point clouds segmentation Abstract: Simultaneous localization and mapping (SLAM) is the problem of constructing a map of an unknown environment by a mobile robot while at the same time navigating the environment using the map. In this talk, we consider some errors of map caused by matching algorithms, and we propose a method for accurate point clouds segmentation based on discrete normal, curvature, and 2D semantic segmentation. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "D1‐(邱普照) Pu‐Zhao Kow" <kow4896@gmail.com>, NCKU
Title: Schauder’s Estimates and Asymptotic Behavior of Solutions of the Stationary
Navier‐Stokes Equation in an Exterior Domain
Abstract: In this paper, we improve the result in [1], which concern about the asymptotic
behavior of an incompressible fluid around a bounded obstacle. Under some assumptions
weaker than [1], any nontrivial velocity field obeys a minimal decaying rate
exp
| |
⁄log| | at infinity. Our proof is based on appropriate Carleman estimates
and the regularity result, namely the Schauder’s estimate for stationary Navier‐Stokes
equation. (Joint work with Lin, Ching‐Lung) Reference:
[1] Lin, Ching‐Lung; Ulhmann, Gunther; Wang, Jenn‐Nan, Asymptotic behavior of solutions
of the stationary Navier‐Stokes equations in an exterior domain. Indiana Univ. Math. J. 60
(2011) no. 6, 2093‐2106.
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "PD‐Shota Enomoto" <s_enomoto@meiji.ac.jp>, Meiji UAbs infin If th solu We pert Furt solu and whe This ‐‐‐‐‐ "PD Title Abs the nozz stab subs ‐‐‐‐‐ "PD Title with Abs First B . of in prob ene axia ‐‐‐‐‐ "PD Title tract: We co nite layer of he external f ution. show that t turbation if thermore, it ution of the by a produ en n 3. s talk is base ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐(周世偉) S e: Global W tract: In thi transonic n zles. The glo bility of solu sonic and s ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐ Gyeongha e: Existence h Hardy pot tract: In thi tly, we addr We prove t nfinitely ma blem of exis rgy solution ally symmet ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐(陳俞碩) Y e: Existence onsider the f (n force is sma the space‐t f Reynolds a t is shown t one‐dimen uct of a solu ed on a join ‐‐‐‐‐‐‐‐‐‐‐‐‐‐ Shih‐wei Ch Well‐posedne s talk, we co nozzle flow. obal existen ution is obta upersonic s ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ a Hwang" <g e and symm tential s talk, we co ress the pro that solutio any radial so stence and n is establis tric. Lastly, w ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ Yu‐Shuo Che e and Instab e compressib 2,3) under all enough, ime periodi and Mach n that the asy nsional visco ution of the nt work with ou" <kevies ess of Cauch onsider the We provide nce of entro ained by ext states both e ‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ghhwang@ etric prope onsider the oblem of exi n does not olution und symmetric hed. Furthe we establish ‐‐‐‐‐‐‐‐ en" <formo bility of Trav ble Navier‐S the action o then the co ic solution i umbers is s ymptotic lea ous Burgers two‐dimen h Prof. Y. Kag schou@gma hy problem e Cauchy pro e the global opy solution tending the exist. ncts.ntu.ed rties of solu e following n istence and exist under er some con properties ermore, we h the existe sa1502@gm veling Pulses Stokes equa of a space‐t ompressible s asymptot mall enoug ading part o s equation a sional heat gei of Kyush ail.com>, for Compre oblem of on l well‐posed n is establish e results of B du.tw>, NCT ution to the nonlinear N d non‐existe r some cond ndition on γ of a least e verify that nce of infin mail.com>, s of Keller‐S ation aroun time period e Navier‐Sto ic stable un gh. of the pertu and a space‐ equation a hu Universit essible Eule ne‐dimensio dness of suc hed by the g Bressan, Ha TS e Neumann Neumann pr ence of solut dition on γ, γ, μ and s. S nergy solut a least ene itely many Tamkang U Segel System d space‐tim dic external okes system der the suff rbation is g ‐time perio nd a space‐ ty and Mr. M er equations onal compre ch problem generalized , Liu and Ya problem of roblem tion with iso μ and s. An Secondly, w ion on Ω = rgy solution solutions un niversity m with Nonl me periodic force. has a space fficiently sm given by a pr dic function ‐time perio M. N. Azlan s in Transon essible Eule for the case d Glimm me ang to the c f Hardy‐Sob olated sing nd we estab we are conce B . Existen n is radially nder some linear Chem solution in e‐time perio mall initial roduct of a n when n dic function . nic Nozzle Fl er system fo e of expand ethod. The ase of whic bolev equati ularity on Ω lish existen erned with t nce of a leas symmetric condition o mical Gradie an odic 2, n low or ding ch ion Ω = ce the st or on Ω. ents
and Small Diffusions Abstract: In this paper, we consider a generalized model of 2x2 Keller‐Segel system with nonlinear chemical gradient and small cell diffusion. The existence of the traveling pulses for such equations is established by the methods of geometric singular perturbation (GSP in short) and trapping regions from dynamical systems theory. By the technique of GSP, we show that the necessary condition for the existence of traveling pulses is that their limiting profiles with vanishing diffusion can only consist of the slow flows on the critical manifold of the corresponding algebraic‐differential system. We also consider the linear instability of these pulses by the spectral analysis of the linearized operators. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "PD‐(高月圓) Yueyuan Gao" <yueyuangao.wh@gmail.com> (MathAM‐OIL, AIST c/o AIMR, Tohoku University, Japan) Title: Existence and uniqueness results for a first order conservation law involving a Q‐Brownian motion Abstract: Inspired by the works of Bauzet et al. [1, 2], we consider a first order stochastic conservation law with a multiplicative source term involving a Q‐Brownian motion. We first present the result that the discrete solution obtained by a finite volume method converges along a subsequence in the sense of Young measures to a measure‐valued entropy solution as the maximum diameter of the volume elements and the time step tend to zero [3]. This convergence result yields the existence of a measure‐valued entropy solution. We present the Kato's inequality and as a corollary we deduce the uniqueness of the measure‐valued entropy solution as well as the uniqueness of the weak entropy solution. The Kato's inequality is proved by a doubling of variables method; in order to apply this method, we study an associated nonlinear parabolic problem. Finally we show some numerical results of stochastic Burgers equation by applying finite volume method and Monte‐Carlo method. This is joint work with Tadahisa Funaki (Waseda University) and Danielle Hilhorst (CNRS and Universite Paris‐Sud). References [1] C. Bauzet, J. Charrier and T. Gallouet, Convergence of monotone nite volume schemes for hyperbolic scalar conservation laws with a multiplicative noise, Stochastic Partial Dierential Equations: Analysis and Computations, 4, 2016, 150223, [2] C. Bauzet, G. Vallet and P. Wittbold, The Cauchy problem for a conservation law with a multiplicative stochastic perturbation, Journal of Hyperbolic Dierential Equations, 9, 2012, 661709. [3] T. Funaki, Y. Gao and D. Hilhorst, Convergence of a nite volume scheme for a stochastic conservation law involving a Q‐Brownian motion, Accepted for publication by DCDS‐B, AIMS, hal‐01404119. [4] T. Funaki, Y. Gao and D. Hilhorst, Uniqueness of the entropy solution of a stochastic conservation law with a Q‐Brownian motion, in preparation. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "PD‐(李信儀) Hsin‐Yi Lee" <apostol2000@hotmail.com>, NCU Title: The generalized Riemann solver to a multi‐lanes model in traffic flows Abstract: In this talk, we consider a multi‐lanes model of traffic flow, which is governed by a hyperbolic system of balance laws. The system of balance laws is given as a 2 b Mizunoy 2 nonlinear hyperbolic system
estimated for the consistency of the generalized Glimm scheme. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ "PD‐Lorenzo Contento" <lorenzo.contento@gmail.com>, Meiji U, Title: The mechanism behind traveling wave interaction in a reaction‐diffusion system Abstract: One‐dimensional traveling wave solutions are an important tool for the study of reaction‐ diffusion systems. In particular, their interaction and their planar stability can be used to explain the occurrence of complex patterns in two‐spatial dimensions. In this talk we will present a couple of fronts which interact in different ways depending on the value of a free parameter. We will reveal the mechanism behind this change of behaviour by studying the bifurcation structure of the traveling wave solutions. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ α β γ δ ζ ε η θ κ λ μ ν ξ π ρ σ τ υ φ χ ψ ω ϕ ξ ∂ ϕ δ ε π θ Φ Ψ ω λ η κ ρ ν x → ≤ ≥ ∈ Θ ∩Σ ǁ ≠∥ ∆ ≡ ≈ ∞ ӧ ⊆⊇⊈⊉⊊⊋ ⫼ ≪ ≫ Ω Ψ Φ ϕ
