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강연자 김진수
소속 포항공과대학교
date 2023-03-23

 

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.
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List of Articles
카테고리 제목 소속 강연자
수학강연회 An introduction to hyperplane arrangements file 서울대 이승진
수학강연회 Analysis and computations of stochastic optimal control problems for stochastic PDEs file 아주대 이형천
수학강연회 Analytic torsion and mirror symmetry file Kyoto University Ken-ichi Yoshikawa
수학강연회 Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
수학강연회 Arithmetic of elliptic curves file 서울대 김도형
수학강연회 Averaging formula for Nielsen numbers file 서강대학교 이종범
수학강연회 Birational Geometry of varieties with effective anti-canonical divisors file 연세대학교 최성락
수학강연회 Brownian motion and energy minimizing measure in negative curvature file 서울대학교 임선희
수학강연회 Brownian motion with darning and conformal mappings file University of Washington Zhen-Qing Chen
수학강연회 Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras file Kyoto University/서울대학교 Masaki Kashiwara
수학강연회 Categorification of Donaldson-Thomas invariants file 서울대학교 김영훈
수학강연회 Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds file KIAS 박진성
수학강연회 Circular maximal functions on the Heisenberg group file 연세대 수학과 김준일
수학강연회 Class field theory for 3-dimensional foliated dynamical systems file Kyushu University Morishita Masanori
수학강연회 Classical and Quantum Probability Theory file 충북대학교 지운식
수학강연회 Cloaking via Change of Variables file KAIST 임미경
수학강연회 Codimension Three Conjecture file 교토대학교/서울대학교 Masaki Kashiwara
수학강연회 Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
수학강연회 Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
수학강연회 Conformal field theory and noncommutative geometry file 동경대학교 Kawahigashi
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