Optimal Control of Cancer Growth

• 作者: Jens Christian Larsen
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: CANCER MODELS of CANCER GROWTH Pontryagin Minimum PRINCIPLE
• 年，卷（期）: 2019,（4）
• 页码范围: 173-195
• 页数: 23页
• 分类号: O1

摘要

The purpose of the present paper is to apply the Pontryagin Minimum Principle to mathematical models of cancer growth. In [1], I presented a discrete affine model T of cancer growth in the variables C for cancer, GF for growth factors and GI for growth inhibitors. One can sometimes find an affine vector field X on whose time one map is T. It is to this vector field we apply the Pontryagin Minimum Principle. We also apply the Discrete Pontryagin Minimum Principle to the model T. So we prove that maximal chemo therapy can be optimal and also that it might not depending on the spectral properties of the matrix A, (see below). In section five we determine an optimal strategy for chemo or immune therapy.