MAPK's networks and their capacity for multistationarity due to toric steady states

Mercedes Pérez Millán1, Adrián G Turjanski2

  • 1Dto. de Matemática, FCEN, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I, C1428EGA Buenos Aires, Argentina; Dto. de Ciencias Exactas, CBC, Universidad de Buenos Aires, Ramos Mejía 841, C1405CAE Buenos Aires, Argentina.

Mathematical Biosciences
|February 3, 2015
PubMed

Insights

This study identifies rate constants for Mitogen-activated protein kinase (MAPK) networks, enabling two stable states for cancer therapy targets. The findings allow for studying multistationarity without complex simulations.

Area of Science:

  • Biochemistry
  • Systems Biology
  • Computational Biology

Background:

  • Mitogen-activated protein kinase (MAPK) pathways regulate crucial cellular processes like proliferation and cell death.
  • Aberrant activation of the extracellular signal-regulated kinase (ERK) cascade is common in many human cancers, making it a therapeutic target.
  • MAPK networks are often modeled using differential equations, revealing behaviors like bistability and oscillations.

Purpose of the Study:

  • To determine rate constants for specific ERK networks that exhibit multistationarity.
  • To apply theoretical results to identify conditions for two distinct stable steady states in biochemical networks.
  • To enable the study of multistationarity without relying on computational simulations.

Main Methods:

  • Analysis of three representative ERK networks, including one with negative feedback.
  • Application of theoretical results for mass-action kinetics to find rate constants.
  • Focus on network topology rather than specific constant values to ensure generality.

Main Results:

  • Identified sets of rate constants for three ERK networks that support two significantly different stable steady states.
  • Demonstrated that multistationarity can be achieved within the same stoichiometric compatibility class.
  • Validated the theoretical approach for predicting network behavior.

Conclusions:

  • The developed approach allows for the study of multistationarity in biochemical networks, such as ERK pathways, without direct simulation.
  • This method provides a general framework applicable to various biological networks with potential implications for cancer therapy.
  • Understanding bistability in MAPK signaling could lead to novel therapeutic strategies targeting cancer.

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