Literature DB >> 10701303

A mathematical model of cancer treatment by immunotherapy.

F Nani1, H I Freedman.   

Abstract

In this paper, a detailed mathematical study of cancer immunotherapy will be presented. General principles of cancer immunotherapy and the model equations and hypotheses will be discussed. Mathematical analyses of the model equations with regard to dissipativity, boundedness of solutions, invariance of non-negativity, nature of equilibria, persistence, extinction and global stability will be analyzed. It will also be shown that bifurcations can occur, and criteria for total cure will also be derived.

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Year:  2000        PMID： 10701303     DOI： 10.1016/s0025-5564(99)00058-9

Source DB:  PubMed          Journal:  Math Biosci        ISSN： 0025-5564            Impact factor:   2.144


  13 in total

1.  Fine-tuning anti-tumor immunotherapies via stochastic simulations.

Authors:  Giulio Caravagna; Roberto Barbuti; Alberto d'Onofrio
Journal:  BMC Bioinformatics       Date:  2012-03-28       Impact factor: 3.169

2.  Mathematical modelling of trastuzumab-induced immune response in an in vivo murine model of HER2+ breast cancer.

Authors:  Angela M Jarrett; Meghan J Bloom; Wesley Godfrey; Anum K Syed; David A Ekrut; Lauren I Ehrlich; Thomas E Yankeelov; Anna G Sorace
Journal:  Math Med Biol       Date:  2019-09-02       Impact factor: 1.854

Review 3.  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

4.  Predicting outcomes of prostate cancer immunotherapy by personalized mathematical models.

Authors:  Natalie Kronik; Yuri Kogan; Moran Elishmereni; Karin Halevi-Tobias; Stanimir Vuk-Pavlović; Zvia Agur
Journal:  PLoS One       Date:  2010-12-08       Impact factor: 3.240

5.  Mathematical modeling of solid cancer growth with angiogenesis.

Authors:  Hyun M Yang
Journal:  Theor Biol Med Model       Date:  2012-02-02       Impact factor: 2.432

6.  An integrated disease/pharmacokinetic/pharmacodynamic model suggests improved interleukin-21 regimens validated prospectively for mouse solid cancers.

Authors:  Moran Elishmereni; Yuri Kheifetz; Henrik Søndergaard; Rune Viig Overgaard; Zvia Agur
Journal:  PLoS Comput Biol       Date:  2011-09-29       Impact factor: 4.475

7.  A mathematical model of cancer treatment by radiotherapy.

Authors:  Zijian Liu; Chenxue Yang
Journal:  Comput Math Methods Med       Date:  2014-11-13       Impact factor: 2.238

8.  On Study of Immune Response to Tumor Cells in Prey-Predator System.

Authors:  Gurpreet Kaur; Naseem Ahmad
Journal:  Int Sch Res Notices       Date:  2014-09-22

Review 9.  Quantitative Mechanistic Modeling in Support of Pharmacological Therapeutics Development in Immuno-Oncology.

Authors:  Kirill Peskov; Ivan Azarov; Lulu Chu; Veronika Voronova; Yuri Kosinsky; Gabriel Helmlinger
Journal:  Front Immunol       Date:  2019-04-30       Impact factor: 7.561

10.  A hybrid model of tumor growth and angiogenesis: In silico experiments.

Authors:  Caleb M Phillips; Ernesto A B F Lima; Ryan T Woodall; Amy Brock; Thomas E Yankeelov
Journal:  PLoS One       Date:  2020-04-10       Impact factor: 3.240
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