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Mathematical Models of Cancer and Different Therapies

Part of the Series in BioEngineering Book Series

DOI: 10.1007/978-981-15-8640-8

ISBN: 978-981-15-8639-2

Publisher: Springer Singapore - Springer Journals

Nov 1, 2020

1 - 10 of 11 Chapters

LitStream

Chapter 1Background

Padmanabhan, Regina; Meskin, Nader; Moustafa, Ala-Eddin Al

Pages: 1 –13

[In this chapter, an overview of the mechanisms involved in the tumor growth, tumor interactions with the environment, types of therapeutic strategies used for management of the disease, and a general mathematical model of tumor dynamics are presented.]
LitStream

Chapter 2Time Series Data to Mathematical Model

Padmanabhan, Regina; Meskin, Nader; Moustafa, Ala-Eddin Al

Pages: 15 –54

[In this chapter, various steps involved in building and validating mathematical models using the data of tumor dynamics observed experimentally are discussed. Experimental designs and data collection, various types of growth models, treatment models, model fitting algorithms, metrics used for...
LitStream

Chapter 3Chemotherapy Models

Padmanabhan, Regina; Meskin, Nader; Moustafa, Ala-Eddin Al

Pages: 55 –75

[Chemotherapy involves the use of different types of drugs or drug combinations that can reduce the abnormal proliferation of cancer cells and lead to cell death. In this chapter, six mathematical models are discussed that depict different aspects of cancer dynamics under chemotherapy. Analysis...
LitStream

Chapter 4Immunotherapy Models

Padmanabhan, Regina; Meskin, Nader; Moustafa, Ala-Eddin Al

Pages: 77 –110

[Immunotherapy is a treatment strategy that uses external adjuvants to boost our immune system and thus make use of our body’s inherent mechanisms to fight cancer [1]. In this chapter, first some of the components and mechanisms pertaining to tumor dynamics are provided which are significant in...
LitStream

Chapter 5Anti-angiogenic Therapy Models

Padmanabhan, Regina; Meskin, Nader; Moustafa, Ala-Eddin Al

Pages: 111 –122

[Anti-angiogenic therapy is used to interrupt the development of blood vessels towards and into the tumors from the existing blood vessels that surround the tumor micro-environment [1]. Anti-angiogenic therapy models primarily involves the dynamics of tumor cells, endothelial cells, angiogenesis...
LitStream

Chapter 6Radiotherapy Models

Padmanabhan, Regina; Meskin, Nader; Moustafa, Ala-Eddin Al

Pages: 123 –133

[Radiotherapy methods for cancer treatment involves the use of high energy beams of photons (X-rays), protons, and neutrons to bring about detrimental changes in the irradiated cells. These ionizing radiations primarily cause damage to the DNA of the cells and thereby impair the cell mitosis...
LitStream

Chapter 7Hormone Therapy Models

Padmanabhan, Regina; Meskin, Nader; Moustafa, Ala-Eddin Al

Pages: 135 –156

[Hormone therapy or endocrine therapy is used along with other treatment strategies to alleviate different types of human cancers including prostate and breast [1–4]. The idea of using hormone therapy for the regression of cancer stems from the understanding that many hormones play key roles in...
LitStream

Chapter 8Miscellaneous Therapy Models

Padmanabhan, Regina; Meskin, Nader; Moustafa, Ala-Eddin Al

Pages: 157 –191

[In Chaps. 3–7, five major therapeutic approaches currently in use for cancer management are discussed. In this chapter, mathematical models of cancer dynamics under gene therapy, oncolytic virotherapy, nanocarrier-based therapy, and stem cell therapy are presented. Most of these therapeutic...
LitStream

Chapter 9Combination Therapy Models

Padmanabhan, Regina; Meskin, Nader; Moustafa, Ala-Eddin Al

Pages: 193 –214

[Experimental and clinical evidence suggest that many single agent-based therapeutic approaches that are discussed in Chaps. 3–8 show an improved potency (additive or synergistic effects) when used in combination [1–5]. Such combination therapy approaches can bring together the positive aspects...
LitStream

Chapter 10Control Strategies for Cancer Therapy

Padmanabhan, Regina; Meskin, Nader; Moustafa, Ala-Eddin Al

Pages: 215 –247

[Novel drugs and treatment methods are introduced for the management of cancer at a very fast pace. Given the complexity and heterogeneity of the disease, decision making regarding the right choice of the drug, dose, drug combination, and treatment schedule has become a perplexing task. Cancer...

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