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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 Mathemaics & Hedge Fund file 지큐자산운용 김택근
Math Colloquia Satellite operators on knot concordance file 건국대학교 김태희
Math Colloquia A dissipative effect on some PDEs with physical singularity file University of Wisconsin-Madison 김찬우
Math Colloquia Study stochastic biochemical systems via their underlying network structures file 포항공과대학교 김진수
Math Colloquia Entropy of symplectic automorphisms file 서강대학교 김준태
Math Colloquia Circular maximal functions on the Heisenberg group file 연세대 수학과 김준일
Math Colloquia The process of mathematical modelling for complex and stochastic biological systems file KAIST 김재경
Math Colloquia <학부생을 위한 ɛ 강연> 복잡한 생명현상을 위한 21세기 현미경, 수학! file 카이스트 김재경
Math Colloquia Symplectic topology and mirror symmetry of partial flag manifolds file 부산대학교 수학과 김유식
Math Colloquia Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
Math Colloquia 곡선의 정의란 무엇인가? file 서울대학교 김영훈
Math Colloquia Categorification of Donaldson-Thomas invariants file 서울대학교 김영훈
Math Colloquia <학부생을 위한 ɛ 강연> 양자상태의 기하학 file 고등과학원 김영훈
Math Colloquia <정년퇴임 기념강연> 리만 가설에 관련된 옌센 다항식의 영점 file 서울대학교 김영원
Math Colloquia On the Schauder theory for elliptic PDEs file 연세대학교 김세익
Math Colloquia Iwahori-Hecke algebras and beyond file University of Picardie Jules-Verne, Amiens 김성순
Math Colloquia Introduction to Non-Positively Curved Groups file KAIST 김상현
Math Colloquia Subgroups of Mapping Class Groups file 서울대학교 김상현
Math Colloquia On circle diffeomorphism groups file 고등과학원 김상현
Math Colloquia What is model theory? file 연세대 김병한
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