JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617
Articles
Mathematical modeling and analysis of ErbB3 and EGFR dimerization process for the gefitinib resistance
Keiko ItanoTakeshi ItoShuji KawasakiYoshinori MurakamiTakashi Suzuki
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2018 Volume 10 Pages 33-36

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Abstract

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.

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© 2018, The Japan Society for Industrial and Applied Mathematics
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