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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
Subword complexity, expansion of real numbers and irrationality exponents file 동국대 김동한
Subgroups of Mapping Class Groups file 서울대학교 김상현
Study stochastic biochemical systems via their underlying network structures file 포항공과대학교 김진수
Structures on Persistence Barcodes and Generalized Persistence file Stanford University Gunnar E. Carlsson
Structures of Formal Proofs file 경북대학교 정주희
Structural stability of meandering-hyperbolic group actions file 제주대학교 김성운
Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures file 인하대학교 강현배
Space.Time.Noise file Meijo University Takeyuki Hida
Solver friendly finite element methods file Oklahoma State Univ. 구자언
Sheaf quantization of Hamiltonian isotopies and non-displacability problems file Kyoto Univ./서울대학교 Masaki Kashiwara
Seoul ICM 2014 유치과정 개요 및 준비전략 file 포항공과대학교 박형주
Seifert fiberings file University of Oklahoma 이경배
Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition file 서울대학교 최형인
Satellite operators on knot concordance file 건국대학교 김태희
Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
Riemann-Hilbert correspondence for irregular holonomic D-modules file 서울대학교/RIMS Masaki Kashiwara
Restriction theorems for real and complex curves file 포항공과대학교 박종국
Regularization by noise in nonlinear evolution equations file Dep. Math., Kyoto Univ. Yoshio Tsutsumi
Regularity theory for nonlocal equations file 한양대학교 김민현
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