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Lung cancer is the leading cause of cancer death. Dimerization and phosphorylation of the receptor tyrosine kinase are involved in the malignant progression of cancers and drug resistance. Focusing on the EGFR-ErbB3 dimerization, we build a mathematical model using ordinary differential equations (ODEs). By classifying the molecules into two groups, we sum molecular ODEs into two groups and solve them explicitly. From these solutions, all molecule concentrations and their equilibria can be derived theoretically. Based on the theoretical solutions, we determine the dimerization behavior and a key parameter. Our model can be applied to similar dimerization networks.

Mathematical modeling and analysis of ErbB3 and EGFR dimerization process for the gefitinib resistance