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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 Satellite operators on knot concordance file 건국대학교 김태희
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수학강연회 Entropy of symplectic automorphisms file 서강대학교 김준태
수학강연회 Equations defining algebraic curves and their tangent and secant varieties file KAIST 박진형
수학강연회 Descent in derived algebraic geometry file 서강대학교 조창연
수학강연회 Toward bridging a connection between machine learning and applied mathematics file 성균관대학교 홍영준
수학강연회 Vlasov-Maxwell equations and the Dynamics of Plasmas file 포항공과대학교 장진우
수학강연회 Study stochastic biochemical systems via their underlying network structures file 포항공과대학교 김진수
수학강연회 <학부생을 위한 ɛ 강연> 복잡한 생명현상을 위한 21세기 현미경, 수학! file 카이스트 김재경
수학강연회 Birational Geometry of varieties with effective anti-canonical divisors file 연세대학교 최성락
수학강연회 Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
수학강연회 <학부생을 위한 ɛ 강연> Self-Supervised Learning in Computer Vision file 인하대학교 현윤석
수학강연회 <학부생을 위한 강연> 수학과 보험산업 file 라이나생명 유신옥
수학강연회 Counting number fields and its applications file UNIST 조재현
수학강연회 Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications file KAIST 신연종
수학강연회 Elliptic equations with singular drifts in critical spaces file 서강대학교 김현석
수학강연회 Contact topology of singularities and symplectic fillings file 순천대학교 권명기
수학강연회 Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
수학강연회 <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems file 서울대학교 서인석
수학강연회 Geometric Langlands theory: A bridge between number theory and physics file 서울대학교 유필상
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