About

Basic Project Information

Project Number: 101183111
Project Name: Dynamical Systems and Reaction Kinetics Networks
Project Acronym: DSYREKI
Call: HORIZON-MSCA-2023-SE-01
Topic: HORIZON-MSCA-2023-SE-01-01
Type of Action: HORIZON TMA MSCA Staff Exchanges
Granting Authority: European Research Executive Agency
Project Starting Date: 1 September 2024
Project End Date: 31 August 2028
Project Duration: 48 months
Requested EU Contribution: 326.600,00 EUR

About the Project

Project Overview: The primary goal of the DSYREKI project is to advance the theory of dynamical systems governed by differential equations with multiple parameters. This enriched understanding will be leveraged to dissect mathematical models that mirror real-world phenomena and processes.

Objectives:

  • Qualitative and Quantitative Analysis: Explore both qualitative and quantitative attributes of these systems, including their general structure, solution properties, bifurcations, and stability.
  • Biochemical Networks: Delve into the analysis of certain biochemical networks, focusing on those integral to reaction kinetics.
  • Symbolic-Numeric Tools: Develop bespoke symbolic-numeric tools designed to uncover instances of multi-stability and bifurcations.
  • Parameter Estimation and Control: Emphasize parameter estimation and the resolution of control dilemmas for biomedical applications.
  • Interdisciplinary Approach: Fuse methodologies from mathematics, applied mathematics, reaction kinetics, and computational algorithms of symbolic computation.
  • Sustainable Practices: Incorporate principles of the Green Charter, emphasizing sustainable practices and the development of simulations to mitigate environmental impacts.
  • Training Opportunities: Provide substantial training opportunities for early-stage researchers, fostering an environment conducive to learning and innovation.

Research Focus:

  • Dynamical Systems: Investigate the general structure, solution properties, bifurcations, and stability of dynamical systems.
  • Biochemical Networks: Analyze biochemical networks, particularly those related to reaction kinetics.
  • Symbolic-Numeric Computation: Develop tools for analyzing stability and bifurcations within intricate biochemical systems.
  • Biomedical Applications: Address parameter estimation and control issues in biomedical contexts, exploring positive and impulsive control.

Interdisciplinary Nature: The project is inherently interdisciplinary, combining and expanding methodologies from various fields to address complex scientific questions. This approach aims to create a comprehensive understanding of dynamical systems and their applications in real-world scenarios.

International Collaboration: The project leverages a robust international collaboration, bringing together leading researchers and institutions from multiple countries. This global partnership enhances the diversity of perspectives and expertise, fostering innovative solutions and ensuring the research has a broad and impactful reach.

Sustainability and Innovation: The project emphasizes sustainable practices and aims to develop simulations that address and mitigate environmental impacts. It also promises substantial training opportunities for early-stage researchers, fostering innovation and learning.

Main Scientific Work Packages

Below are the main scientific work packages of the project, each designed to address specific research objectives and contribute to the overall success of the initiative.

Work Package 1: Reaction Kinetics and Biochemical Models

Objectives:

  1. Study the multistationarity of biochemical networks.
  2. Develop computational methods based on symbolic computation for investigating biochemical networks.
  3. Investigate specific models of biochemical networks important for applications.
  4. Perform dynamic analysis of chemical reaction networks modeling biomass conversion dynamics for sustainable extraction of bioactive compounds.

Work Package 2: Bifurcations and Qualitative Properties of Dynamical Systems

Objectives:

  1. Investigate the properties of periodic solutions in smooth and piecewise smooth systems and their bifurcations.
  2. Examine the integrability of systems of ordinary differential equations (ODEs).
  3. Explore symmetries and invariants of systems of ODEs.
  4. Bridge the gap between theory and application by applying the study of dynamical systems to practical problems in biological and environmental systems, focusing on the integrability and symmetry of differential equations to uncover new insights into system behaviors.

Work Package 3: Applications to Biomedical Studies

Objectives:

  1. Develop algorithms for biomedical and physiological processes.
  2. Apply theoretical knowledge in the theory of ODEs to biomedical applications.
  3. Develop sophisticated software that efficiently processes and extracts meaningful insights from large patient health records, crucial for analyzing large datasets.
  4. Develop advanced predictive models to accurately forecast the progression of diseases such as diabetes, obesity, and cancer, enhancing personalized medicine approaches.