Optimal control in a model of dendritic cell transfection cancer immunotherapy

被引：81

作者：

Castiglione, F ^{[1
]}

Piccoli, B ^{[1
]}

机构：

[1] CNR, Ist Applicaz Calcolo M Picone, I-00161 Rome, Italy

来源：

BULLETIN OF MATHEMATICAL BIOLOGY | 2006年 / 68卷 / 02期

关键词：

optimal control; necessary conditions; cancer; immunotherapy; autologous dendritic cells transfection;

D O I：

10.1007/s11538-005-9014-3

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We construct a population dynamics model of the competition among immune system cells and generic tumor cells. Then, we apply the theory of optimal control to find the optimal schedule of injection of autologous dendritic cells used as immunotherapeutic agent. The optimization method works for a general ODE system and can be applied to find the optimal schedule in a variety of medical treatments that have been described by a mathematical model.

引用

页码：255 / 274

页数：20

共 10 条

[1]

[Anonymous], 1999, Pure and Applied Mathematics (New York)

[2]

Boczkowski D, 2000, CANCER RES, V60, P1028

[3]

Dietz AB, 2001, CROAT MED J, V42, P428

[4]

GARAVELLO M, IN PRESS SIAM J CONT

[5]

Goldsby R.A., 2000, KUBY IMMUNOLOGY

[6] Modeling immunotherapy of the tumor-immune interaction [J].

Kirschner, D ;

Panetta, JC .

JOURNAL OF MATHEMATICAL BIOLOGY, 1998, 37 (03) :235-252

[7] Immunology for physicists [J].

Perelson, AS ;

Weisbuch, G .

REVIEWS OF MODERN PHYSICS, 1997, 69 (04) :1219-1267

[8] Regular synthesis and sufficiency conditions for optimality [J].

Piccoli, B ;

Sussmann, HJ .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 39 (02) :359-410

[9]

Pontryagin L. S., 1961, MATH THEORY OPTIMAL

[10]

Preziosi L., 2003, CANC MODELING SIMULA

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