Efficient multistationarity conditions for networks of intracellular signaling

HTW Berlin, FB2, Life Science Engineering

Carsten Conradi

Intracellular signaling, crucial for cellular function and implicated in diseases like cancer, involves complex interactions of signaling molecules. Mathematical modeling is essential for its study, particularly focusing on steady states, which represent stable cell states after stimulus response. Multistationarity, the existence of multiple steady states for the same parameters, is significant as it may represent different cell states and information storage, but is mathematically challenging to prove.
 
This research aims to combine the methods of Prof. Mochizuki and Prof. Conradi, both using the Jacobian determinant, to simplify the identification of multistationarity. Prof. Conradi’s work links determinant sign changes to multistationarity, while Prof. Mochizuki’s approach reduces the determinant’s complexity. By integrating these methods, the project seeks to derive more manageable conditions for detecting multistationarity in cellular signaling networks.