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Extra Form
Lecturer 김진수
Dept. 포항공과대학교
date Mar 23, 2023

 

When a biological system is modeled using a mathematical process, the following step is normally to estimate the system parameters. Despite the numerous computational and statistical techniques, estimating parameters for complex systems can be a difficult task. As a result, one can think of revealing parameter-independent dynamical properties of a system. More precisely, rather than estimating parameters, one can focus on the underlying structure of a biochemical system to derive the qualitative behavior of the associated mathematical process. In this talk, we will discuss study of qualitative behaviors of stochastic biochemical systems using reaction networks. A reaction network is a graphical configuration of a biochemical system. One of the key problems in this field is to relate dynamical properties and the underlying reaction network structure. The goal of this talk is to 1. walk you through the basic modeling aspect of the stochastically modeled reaction networks, and 2. to show how to derive stability (ergodicity) of the associated stochastic process solely based on the underlying network structure.
Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Topology of configuration spaces on graphs file KAIST 고기형
Math Colloquia Topology and number theory file Univ. College London/포항공대 김민형
Math Colloquia Topological surgery through singularity in mean curvature flow file 고등과학원 최경수
Math Colloquia Topological aspects in the theory of aperiodic solids and tiling spaces file Georgia Institute of Technology, School of Mathematics and School of Physics Jean V. Bellissard
Math Colloquia Theory and applications of partial differential equations file 서울대 변순식
Math Colloquia The significance of dimensions in mathematics file Kyoto Univ./서울대학교 Heisuke Hironaka
Math Colloquia The Shape of Data file Stanford University Gunnar E. Carlsson
Math Colloquia The process of mathematical modelling for complex and stochastic biological systems file KAIST 김재경
Math Colloquia The phase retrieval problem file Hong Kong University of Science and Technology Yang Wang
Math Colloquia The Mathematics of the Bose Gas and its Condensation file KAIST 이지운
Math Colloquia The Lagrange and Markov Spectra of Pythagorean triples file 동국대학교 김동한
Math Colloquia The classification of fusion categories and operator algebras file Kyoto University Masaki Izumi
Math Colloquia Symplectic topology and mirror symmetry of partial flag manifolds file 부산대학교 수학과 김유식
Math Colloquia Symplectic Geometry, Mirror symmetry and Holomorphic Curves file 연세대 수학과 홍한솔
Math Colloquia Symmetry Breaking in Quasi-1D Coulomb Systems file 서강대학교 Paul Jung
Math Colloquia Sums of squares in quadratic number rings file Univ. of Kentucky David Leep
Math Colloquia Subword complexity, expansion of real numbers and irrationality exponents file 동국대 김동한
Math Colloquia Subgroups of Mapping Class Groups file 서울대학교 김상현
Math Colloquia Study stochastic biochemical systems via their underlying network structures file 포항공과대학교 김진수
Math Colloquia Structures of Formal Proofs file 경북대학교 정주희
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