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 - 10:15Alicia Dickenstein (Universidad de Buenos Aires, Argentina)
Reaction Networks: Definition, ODE, Mass-Action Kinetics
10:15 - 10:45Coffee Break
10:45 - 12:00Elisenda Feliu (University of Copenhagen)
Main Properties and Questions: S-Classes and Invariance, Boundedness, Steady States, Parametrizations, Multistationarity, Stability, Oscillations
12:00 - 14:00Lunch Break
14:00 - 15:15Problem session
15:15 - 15:45Coffee Break
16:00 - 17:00Welcome activity
 
Tuesday, June 13, 2023
09:00 - 10:15Timo de Wolff (Technische Universität Braunschweig)
Polynomials in Several Variables: Algebra, Geometry, Effective Computations
10:15 - 10:45Coffee Break
10:45 - 12:00Alicia Dickenstein (Universidad de Buenos Aires, Argentina)
Invariants and Elimination of Variables, Sparseness
12:00 - 14:00Lunch Break
14:00 - 15:15Problem session
15:15 - 15:45Coffee Break
15:45 - 17:00Problem session
 
Wednesday, June 14, 2023
09:00 - 10:15Alicia Dickenstein (Universidad de Buenos Aires, Argentina)
Binomial Ideals and Monomial Parametrizations
10:15 - 10:45Coffee Break
10:45 - 12:00Elisenda Feliu (University of Copenhagen)
Laplacian Matrices, Linear Elimination and Rational Parametrizations
12:00 - 14:00Lunch Break
14:00 - 15:15Problem session
15:15 - 15:45Coffee Break
15:45 - 17:00Problem session
 
Thursday, June 15, 2023
09:00 - 10:15Elisenda Feliu (University of Copenhagen)
Injective Networks
10:15 - 10:45Coffee Break
10:45 - 12:00Alicia Dickenstein (Universidad de Buenos Aires, Argentina)
Surjectivity and Multistationarity for Networks with Monomial Parametrizations. Basics on Gale Duality and Oriented Matroids
12:00 - 14:00Lunch Break
14:00 - 15:15Problem session
15:15 - 15:45Coffee Break
15:45 - 17:00Problem session
 
Friday, June 16, 2023
09:00 - 10:15Alicia Dickenstein (Universidad de Buenos Aires, Argentina) (joint work with Elisenda Feliu)
Linear Networks. Complex Balanced Steady States
10:15 - 10:45Coffee Break
10:45 - 12:00Alicia Dickenstein (Universidad de Buenos Aires, Argentina)
MESSI Systems
12:00 - 14:00Lunch Break
14:00 - 15:15Assignment of Projects in Groups
15:15 - 15:45Coffee Break
15:45 - 17:00Assignment of Projects in Groups
 
Saturday, June 17, 2023
08:00 - 22:00Optional Hike in Saxonian Switzerland
 
Monday, June 19, 2023
09:00 - 10:15Elisenda Feliu (University of Copenhagen)
Multistationarity via Brouwer Degree
10:15 - 10:45Coffee Break
10:45 - 12:00Timo de Wolff (Technische Universität Braunschweig)
Nonnegative Polynomials and Polyhedral Geometry
12:00 - 14:00Lunch Break
14:00 - 15:15Problem session
15:15 - 15:45Coffee Break
15:45 - 17:00Problem session
 
Tuesday, June 20, 2023
09:00 - 10:15Elisenda Feliu (University of Copenhagen)
Parameter Regions for Multistationarity: Adhoc Approaches and Automated Approaches. Brouwer Degree, Revisited.
10:15 - 10:45Coffee Break
10:45 - 12:00Alicia Dickenstein (Universidad de Buenos Aires, Argentina)
Parameter Regions for Multistationarity: Polytope Approach
12:00 - 14:00Lunch Break
14:00 - 15:15Problem session
15:15 - 15:45Coffee Break
15:45 - 17:00Problem session
 
Wednesday, June 21, 2023
09:00 - 10:15Elisenda Feliu (University of Copenhagen)
Bistability and Oscillations 1: Basic Definitions. Algebraic Criteria
10:15 - 10:45Coffee Break
10:45 - 12:00Elisenda Feliu (University of Copenhagen)
Bistability and Oscillations 2: Working with Reaction Networks
12:00 - 14:00Lunch Break
14:00 - 15:15Problem session
15:15 - 15:45Coffee Break
15:45 - 17:00Problem session
 
Thursday, June 22, 2023
09:00 - 10:15Alicia Dickenstein (Universidad de Buenos Aires, Argentina) (joint work with Elisenda Feliu)
Network Reduction
10:15 - 10:45Coffee Break
10:45 - 12:00Group work
12:00 - 14:00Lunch Break
14:00 - 15:15Student Presentations
15:15 - 15:45Coffee Break
15:45 - 17:00Student Presentations
 
Friday, June 23, 2023
09:00 - 10:00Alicia Dickenstein (Universidad de Buenos Aires, Argentina) (joint work with Elisenda Feliu)
Open Questions
10:00 - 12:00Student 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 Olschewski
MPI for Mathematics in the Sciences
Contact by Email
31.05.2023, 01:27