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Viac informácií o knihe Mathematical modeling and analysis of therapies for metastatic cancers

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

Nákupom získate 218 bodov

Anotácia knihy

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.

Parametre knihy

• Celý názov: Mathematical modeling and analysis of therapies for metastatic cancers
• Podnázov: A short walk between anti-cancerous systemic therapies and mathematical analysis of structured population dynamics
• Autor: Sebastien Benzekry
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 280
• EAN: 9783659150357
• ID: 02201327
• Nakladateľ: LAP Lambert Academic Publishing
• Hmotnosť: 435 g
• Rozmery: 220 × 150 × 17 mm
• Rok vydania: 2013

Obľúbené z iného súdka

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