Literature DB >> 16794930

Optimal control in a model of dendritic cell transfection cancer immunotherapy.

Filippo Castiglione1, Benedetto Piccoli.   

Abstract

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.

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Year:  2006        PMID: 16794930     DOI: 10.1007/s11538-005-9014-3

Source DB:  PubMed          Journal:  Bull Math Biol        ISSN: 0092-8240            Impact factor:   1.758


  11 in total

1.  Optimization of combination therapy for chronic myeloid leukemia with dosing constraints.

Authors:  Helen Moore; Lewis Strauss; Urszula Ledzewicz
Journal:  J Math Biol       Date:  2018-07-10       Impact factor: 2.259

2.  A mathematical model of the enhancement of tumor vaccine efficacy by immunotherapy.

Authors:  Shelby Wilson; Doron Levy
Journal:  Bull Math Biol       Date:  2012-03-22       Impact factor: 1.758

3.  T model of growth and its application in systems of tumor-immune dynamics.

Authors:  Mohammad A Tabatabai; Wayne M Eby; Karan P Singh; Sejong Bae
Journal:  Math Biosci Eng       Date:  2013-06       Impact factor: 2.080

4.  Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics.

Authors:  Urszula Ledzewicz; Mohammad Naghnaeian; Heinz Schättler
Journal:  J Math Biol       Date:  2011-05-08       Impact factor: 2.259

Review 5.  Addressing current challenges in cancer immunotherapy with mathematical and computational modelling.

Authors:  Anna Konstorum; Anthony T Vella; Adam J Adler; Reinhard C Laubenbacher
Journal:  J R Soc Interface       Date:  2017-06       Impact factor: 4.118

6.  Modeling cancer-immune responses to therapy.

Authors:  L G dePillis; A Eladdadi; A E Radunskaya
Journal:  J Pharmacokinet Pharmacodyn       Date:  2014-10-04       Impact factor: 2.745

7.  Optimizing the Timing and Composition of Therapeutic Phage Cocktails: A Control-Theoretic Approach.

Authors:  Guanlin Li; Chung Yin Leung; Yorai Wardi; Laurent Debarbieux; Joshua S Weitz
Journal:  Bull Math Biol       Date:  2020-06-12       Impact factor: 1.758

Review 8.  Theoretical modeling techniques and their impact on tumor immunology.

Authors:  Anna Lena Woelke; Manuela S Murgueitio; Robert Preissner
Journal:  Clin Dev Immunol       Date:  2010-12-23

9.  A Novel Scheme for Optimal Control of a Nonlinear Delay Differential Equations Model to Determine Effective and Optimal Administrating Chemotherapy Agents in Breast Cancer.

Authors:  H R Ramezanpour; S Setayeshi; M E Akbari
Journal:  Iran J Cancer Prev       Date:  2011

Review 10.  Mathematical Models for Immunology: Current State of the Art and Future Research Directions.

Authors:  Raluca Eftimie; Joseph J Gillard; Doreen A Cantrell
Journal:  Bull Math Biol       Date:  2016-10-06       Impact factor: 1.758

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