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Updated: Oct 17, 2025

Characterize Disease-related Mutants of RAF Family Kinases by Using a Set of Practical and Feasible Methods
Published on: July 17, 2019
Quantifying ERK activity in response to inhibition of the BRAFV600E-MEK-ERK cascade using mathematical modelling
Sara J Hamis1, Yury Kapelyukh2, Aileen McLaren2
1School of Mathematics and Statistics, University of St Andrews, St Andrews, Scotland, UK. sjh37@st-andrews.ac.uk.
Background:
Simultaneous inhibition of multiple components of the BRAF-MEK-ERK cascade (vertical inhibition) has become a standard of care for treating BRAF-mutant melanoma. However, the molecular mechanism of how vertical inhibition synergistically suppresses intracellular ERK activity, and consequently cell proliferation, are yet to be fully elucidated.
Methods:
We develop a mechanistic mathematical model that describes how the mutant BRAF inhibitor, dabrafenib, and the MEK inhibitor, trametinib, affect BRAFV600E-MEK-ERK signalling. The model is based on a system of chemical reactions that describes cascade signalling dynamics. Using mass action kinetics, the chemical reactions are re-expressed as ordinary differential equations that are parameterised by in vitro data and solved numerically to obtain the temporal evolution of cascade component concentrations.
Results:
The model provides a quantitative method to compute how dabrafenib and trametinib can be used in combination to synergistically inhibit ERK activity in BRAFV600E-mutant melanoma cells. The model elucidates molecular mechanisms of vertical inhibition of the BRAFV600E-MEK-ERK cascade and delineates how elevated BRAF concentrations generate drug resistance to dabrafenib and trametinib. The computational simulations further suggest that elevated ATP levels could be a factor in drug resistance to dabrafenib.
Conclusions:
The model can be used to systematically motivate which dabrafenib-trametinib dose combinations, for treating BRAFV600E-mutated melanoma, warrant experimental investigation.
Insights
Vertical inhibition with dabrafenib and trametinib synergistically suppresses BRAF-mutant melanoma cell proliferation. This mathematical model elucidates mechanisms and identifies elevated BRAF and ATP as potential resistance factors.
Area of Science:
- Molecular Biology
- Cancer Signaling Pathways
- Mathematical Modeling
Background:
- Vertical inhibition of the BRAF-MEK-ERK pathway is standard for BRAF-mutant melanoma.
- The precise molecular mechanisms of synergistic ERK suppression remain unclear.
Purpose of the Study:
- To develop a mathematical model of the BRAFV600E-MEK-ERK cascade.
- To elucidate the synergistic effects of dabrafenib and trametinib on ERK activity.
- To identify mechanisms of drug resistance.
Main Methods:
- Developed a mechanistic mathematical model of BRAFV600E-MEK-ERK signaling.
- Used mass action kinetics and ordinary differential equations.
- Parameterized the model with in vitro data and solved numerically.
Main Results:
- Quantified synergistic ERK inhibition by dabrafenib and trametinib in BRAFV600E melanoma.
- Elucidated molecular mechanisms of vertical inhibition.
- Identified elevated BRAF and ATP as potential drivers of drug resistance.
Conclusions:
- The model guides optimal dabrafenib-trametinib dosing strategies for BRAFV600E melanoma.
- Provides a framework for understanding and overcoming drug resistance.
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