Optimization of Combined Antitumor Chemotherapy with Bevacizumab by Means of Mathematical Modeling

Kuznetsov, Maxim; Kolobov, Andrey

doi:10.1007/978-3-319-91092-5_24

Cited by 2 publications

(1 citation statement)

References 36 publications

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“…To the best of our knowledge, this is the first work of this kind to provide simulations of the entire course of AAT. This study is based on our previous works on the mathematical modeling of tumor angiogenesis and AAT [28][29][30] and on our works focused on the biomechanical properties of tumors and normal tissues [31][32][33][34].…”

Section: Current Studymentioning

confidence: 99%

Antiangiogenic Therapy Efficacy Can Be Tumor-Size Dependent, as Mathematical Modeling Suggests

Kuznetsov,

Kolobov

2024

Mathematics

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Antiangiogenic therapy (AAT) is an indirect oncological modality that is aimed at the disruption of cancer cell nutrient supply. Invasive tumors have been shown to possess inherent resistance to this treatment, while compactly growing benign tumors react to it by shrinking. It is generally accepted that AAT by itself is not curative. This study presents a mathematical model of non-invasive tumor growth with a physiologically justified account of microvasculature alteration and the biomechanical aspects of importance during tumor growth and AAT. In the untreated setting, the model reproduces tumor growth with saturation, where the maximum tumor volume depends on the level of angiogenesis. The outcomes of the AAT simulations depend on the tumor size at the moment of treatment initiation. If it is close to the stable size of an avascular tumor grown in the absence of angiogenesis, then the tumor is rapidly stabilized by AAT. The treatment of large tumors is accompanied by the displacement of normal tissue due to tumor shrinkage. During this, microvasculature undergoes distortion, the degree of which depends on the displacement distance. As it affects tumor nutrient supply, the stable size of a tumor that undergoes AAT negatively correlates with its size at the beginning of treatment. For sufficiently large initial tumors, the long-term survival of tumor cells is compromised by competition with normal cells for the severely limited inflow of nutrients, which makes AAT effectively curative.

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Section: Current Studymentioning

confidence: 99%

Antiangiogenic Therapy Efficacy Can Be Tumor-Size Dependent, as Mathematical Modeling Suggests

Kuznetsov,

Kolobov

2024

Mathematics

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Antiangiogenic Therapy Efficacy Can Be Tumor Size Dependent,as Mathematical Modeling Suggests

Kolobov,

Kuznetsov

2023

Preprint

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Antiangiogenic therapy (AAT) is an indirect oncological modality which is aimed at disruption of cancer cells nutrient supply. Invasive tumors have been shown to possess inherent resistant to this treatment, while compactly growing benign tumors react to it by shrinkage. It is generally accepted that AAT by itself is not curative. This study presents a mathematical model of non-invasive tumor growth with physiologically justified account of alteration of microvasculature and biomechanical aspects during tumor growth and AAT. In untreated setting the model reproduces tumor growth with saturation, where the maximum tumor volume depends on the level of angiogenesis. The outcomes of simulations of AAT depend on the tumor size at the moment of treatment initiation. If it is close to the stable size of avascular tumor grown in absence of angiogenesis, then the tumor is rapidly stabilized by AAT. Treatment of large tumors is accompanied by displacement of normal tissue due to the tumor shrinkage. During it, microvasculature undergoes distortion which degree depends on the displacement distance. As it affects tumor nutrient supply, the stable size of a tumor that undergoes AAT negatively correlates with its size at the beginning of treatment. For sufficiently large initial tumors, the long-term survival of tumor cells is compromised by competition with normal cells for severely limited inflow of nutrients, which makes AAT effectively curative.

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Optimization of Combined Antitumor Chemotherapy with Bevacizumab by Means of Mathematical Modeling

Cited by 2 publications

References 36 publications

Antiangiogenic Therapy Efficacy Can Be Tumor-Size Dependent, as Mathematical Modeling Suggests

Antiangiogenic Therapy Efficacy Can Be Tumor-Size Dependent, as Mathematical Modeling Suggests

Antiangiogenic Therapy Efficacy Can Be Tumor Size Dependent,as Mathematical Modeling Suggests

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