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Mathematical modeling and analysis of therapies for metastatic cancers

A short walk between anti-cancerous systemic therapies and mathematical analysis of structured population dynamics
沿って Sebastien Benzekry - により販売されています Dodax EU
コンディション: 新品
¥9,300
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Sebastien Benzekry Mathematical modeling and analysis of therapies for metastatic cancers
Sebastien Benzekry - Mathematical modeling and analysis of therapies for metastatic cancers

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¥9,300 含む VAT
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配達: 2020-12-02 ~ 2020-12-04 の間
販売と配送: Dodax EU

詳細

We introduce a mathematical model for the evolution of a cancer disease at the organism scale, taking into account for the metastases and their sizes as well as action of several therapies such as primary tumor surgery, chemotherapy and anti-angiogenic therapy. The mathematical problem is a renewal equation with bi-dimensional structuring variable. Mathematical analysis and functional analysis of an underlying Sobolev space are performed. Existence, uniqueness, regularity and asymptotic behavior of the solutions are proven in the autonomous case. A lagrangian numerical scheme is introduced and analyzed. Convergence of this scheme proves existence in the non-autonomous case. The effect of concentration of the boundary data into a Dirac mass is also investigated. Possible applications of the model are numerically illustrated for clinical issues such as the failure of anti-angiogenic monotherapies, scheduling of combined cytotoxic and anti-angiogenic therapies and metronomic chemotherapies. In order to give mathematical answers to these clinical problems an optimal control problem is formulated, analyzed and simulated.

共演者・アシスタント

著者 Sebastien Benzekry

商品詳細

DUIN 21IO1JPPLKC

GTIN 9783659150357

言語 英語

ページ数 280

Product type 文庫本

寸法 220 x 150  mm

¥9,300
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