Introduction to dynamic systems with applications to the modeling of cancer

• Grant number: 17/17877-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2017
• End date: July 10, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Tiago de Carvalho
• Grantee: Vitor Henrique Lopes Gusson
• Host Institution: Faculdade de Ciências (FC). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil
• Associated research grant: 13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM

Abstract

In this project we will study mathematical models, composed by ordinary differential equations, that describe the dynamics of tumor cells. To encourage such a study, we will introduce the basic concepts related to vector fields and systems of ordinary differential equations. Methods of obtaining phase portraits will be studied in order to make a qualitative analysis of the model to be studied. Classical theorems and bifurcations in continuous-time dynamic systems will also be studied and applied to the models. (AU)