Symmetric system with Hill functions

For more info about our services contact : help@bestpfe.com

Table of contents

Introduction
1 Numerical study of a model for the reversible Epithelial–Mesenchymal Transition
1.1 Model Description
1.1.1 miR-34/SNAIL circuit
1.1.2 miR-200/ZEB circuit
1.1.3 Coupled circuit
1.2 System simplification
1.2.1 Study of the feedback effect from miR-200/ZEB onto miR34/SNAIL
1.2.2 From the ODE with three variables to the ODE with two variables
2 Theoretical study of competitive systems for the modelling of biological switches
2.1 Existence, uniqueness and behaviour of solutions
2.2 Study of a simple case: a symmetric system with Hill functions
2.2.1 General results for symmetric systems
2.2.2 Symmetric systems with Hill functions
2.3 Some results in the asymmetric case, with Hill functions
2.3.1 General results for asymmetric systems
2.3.2 Asymmetric systems with Hill functions
Discussion
Appendix
References