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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'
  1. 2023-1 Symplectic Topology (노경민)

  2. 2023-1 Symplectic Topology (이상진)

  3. Descent in derived algebraic geometry

  4. 2023-1 Algebraic Combinatorics (오재성)

  5. 2023-1 Algebraic Combinatorics (김동현)

  6. 2023-1 Dynamics and Number Theory (이슬비)

  7. 2023-1 Geometric Toplology (정홍택)

  8. Toward bridging a connection between machine learning and applied mathematics

  9. Vlasov-Maxwell equations and the Dynamics of Plasmas

  10. 2023-1 Stochastic PDE(이재윤)

  11. 2023-1 Probabilistic Potential Theroy (강재훈)

  12. 28Mar
    by 김수현
    in Math Colloquia

    Study stochastic biochemical systems via their underlying network structures

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  14. Birational Geometry of varieties with effective anti-canonical divisors

  15. Contact instantons and entanglement of Legendrian links

  16. <학부생을 위한 ɛ 강연> Self-Supervised Learning in Computer Vision

  17. <학부생을 위한 강연> 수학과 보험산업

  18. Counting number fields and its applications

  19. 2022-2 Rookies Pitch: Algebraic Geometry (박현준)

  20. 2022-2 Rookies Pitch: Geometric Topology (김승원)

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