MSRI-MPI Leipzig Summer Graduate School on Algebraic Methods for Biochemical Reaction Networks
Program
All talks will be held in room E1 05 (Leibniz-Saal),
Max Planck Institute for Mathematics in the Sciences (Leipzig, Inselstr. 22).
| Monday, June 12, 2023 | ||
|---|---|---|
| 09:00 - 10:15 | Alicia Dickenstein (Universidad de Buenos Aires, Argentina) Reaction Networks: Definition, ODE, Mass-Action Kinetics | |
| 10:15 - 10:45 | Coffee Break | |
| 10:45 - 12:00 | Elisenda Feliu (University of Copenhagen) Main Properties and Questions: S-Classes and Invariance, Boundedness, Steady States, Parametrizations, Multistationarity, Stability, Oscillations | |
| 12:00 - 14:00 | Lunch Break | |
| 14:00 - 15:15 | Problem session | |
| 15:15 - 15:45 | Coffee Break | |
| 16:00 - 17:00 | Welcome activity | |
| Tuesday, June 13, 2023 | ||
| 09:00 - 10:15 | Timo de Wolff (Technische Universität Braunschweig) Polynomials in Several Variables: Algebra, Geometry, Effective Computations | |
| 10:15 - 10:45 | Coffee Break | |
| 10:45 - 12:00 | Alicia Dickenstein (Universidad de Buenos Aires, Argentina) Invariants and Elimination of Variables, Sparseness | |
| 12:00 - 14:00 | Lunch Break | |
| 14:00 - 15:15 | Problem session | |
| 15:15 - 15:45 | Coffee Break | |
| 15:45 - 17:00 | Problem session | |
| Wednesday, June 14, 2023 | ||
| 09:00 - 10:15 | Alicia Dickenstein (Universidad de Buenos Aires, Argentina) Binomial Ideals and Monomial Parametrizations | |
| 10:15 - 10:45 | Coffee Break | |
| 10:45 - 12:00 | Elisenda Feliu (University of Copenhagen) Laplacian Matrices, Linear Elimination and Rational Parametrizations | |
| 12:00 - 14:00 | Lunch Break | |
| 14:00 - 15:15 | Problem session | |
| 15:15 - 15:45 | Coffee Break | |
| 15:45 - 17:00 | Problem session | |
| Thursday, June 15, 2023 | ||
| 09:00 - 10:15 | Elisenda Feliu (University of Copenhagen) Injective Networks | |
| 10:15 - 10:45 | Coffee Break | |
| 10:45 - 12:00 | Alicia Dickenstein (Universidad de Buenos Aires, Argentina) Surjectivity and Multistationarity for Networks with Monomial Parametrizations. Basics on Gale Duality and Oriented Matroids | |
| 12:00 - 14:00 | Lunch Break | |
| 14:00 - 15:15 | Problem session | |
| 15:15 - 15:45 | Coffee Break | |
| 15:45 - 17:00 | Problem session | |
| Friday, June 16, 2023 | ||
| 09:00 - 10:15 | Alicia Dickenstein (Universidad de Buenos Aires, Argentina) (joint work with Elisenda Feliu) Linear Networks. Complex Balanced Steady States | |
| 10:15 - 10:45 | Coffee Break | |
| 10:45 - 12:00 | Alicia Dickenstein (Universidad de Buenos Aires, Argentina) MESSI Systems | |
| 12:00 - 14:00 | Lunch Break | |
| 14:00 - 15:15 | Assignment of Projects in Groups | |
| 15:15 - 15:45 | Coffee Break | |
| 15:45 - 17:00 | Assignment of Projects in Groups | |
| Saturday, June 17, 2023 | ||
| 08:00 - 22:00 | Optional Hike in Saxonian Switzerland | |
| Monday, June 19, 2023 | ||
| 09:00 - 10:15 | Elisenda Feliu (University of Copenhagen) Multistationarity via Brouwer Degree | |
| 10:15 - 10:45 | Coffee Break | |
| 10:45 - 12:00 | Timo de Wolff (Technische Universität Braunschweig) Nonnegative Polynomials and Polyhedral Geometry | |
| 12:00 - 14:00 | Lunch Break | |
| 14:00 - 15:15 | Problem session | |
| 15:15 - 15:45 | Coffee Break | |
| 15:45 - 17:00 | Problem session | |
| Tuesday, June 20, 2023 | ||
| 09:00 - 10:15 | Elisenda Feliu (University of Copenhagen) Parameter Regions for Multistationarity: Adhoc Approaches and Automated Approaches. Brouwer Degree, Revisited. | |
| 10:15 - 10:45 | Coffee Break | |
| 10:45 - 12:00 | Alicia Dickenstein (Universidad de Buenos Aires, Argentina) Parameter Regions for Multistationarity: Polytope Approach | |
| 12:00 - 14:00 | Lunch Break | |
| 14:00 - 15:15 | Problem session | |
| 15:15 - 15:45 | Coffee Break | |
| 15:45 - 17:00 | Problem session | |
| Wednesday, June 21, 2023 | ||
| 09:00 - 10:15 | Elisenda Feliu (University of Copenhagen) Bistability and Oscillations 1: Basic Definitions. Algebraic Criteria | |
| 10:15 - 10:45 | Coffee Break | |
| 10:45 - 12:00 | Elisenda Feliu (University of Copenhagen) Bistability and Oscillations 2: Working with Reaction Networks | |
| 12:00 - 14:00 | Lunch Break | |
| 14:00 - 15:15 | Problem session | |
| 15:15 - 15:45 | Coffee Break | |
| 15:45 - 17:00 | Problem session | |
| Thursday, June 22, 2023 | ||
| 09:00 - 10:15 | Alicia Dickenstein (Universidad de Buenos Aires, Argentina) (joint work with Elisenda Feliu) Network Reduction | |
| 10:15 - 10:45 | Coffee Break | |
| 10:45 - 12:00 | Group work | |
| 12:00 - 14:00 | Lunch Break | |
| 14:00 - 15:15 | Student Presentations | |
| 15:15 - 15:45 | Coffee Break | |
| 15:45 - 17:00 | Student Presentations | |
| Friday, June 23, 2023 | ||
| 09:00 - 10:00 | Alicia Dickenstein (Universidad de Buenos Aires, Argentina) (joint work with Elisenda Feliu) Open Questions | |
| 10:00 - 12:00 | Student Presentations | |
Date and Location
June 12 - 23, 2023
Max Planck Institute for Mathematics in the Sciences
E1 05 (Leibniz-Saal)
Inselstr. 22
04103 Leipzig
Scientific Organizers
Timo de Wolff
Technische Universität Braunschweig
Alicia Dickenstein
Universidad de Buenos Aires
Elisenda Feliu
University of Copenhagen
Administrative Contact
Mirke OlschewskiMPI for Mathematics in the Sciences
Contact by Email