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Mathematical models and dynamic behaviors of cancer treatment by continuous and pulsed radiotherapy
In this study, two mathematical models are introduced to describe treatment of cancer by continuous and pulsed radiotherapy. In the continuous...
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Making Predictions Using Poorly Identified Mathematical Models
Many commonly used mathematical models in the field of mathematical biology involve challenges of parameter non-identifiability. Practical...
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Formation and Growth of Co-Culture Tumour Spheroids: New Compartment-Based Mathematical Models and Experiments
Co-culture tumour spheroid experiments are routinely performed to investigate cancer progression and test anti-cancer therapies. Therefore, methods...
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Mathematical Oncology: Tumor Evolution Models
Cancer is the second leading cause of death globally, accounting for an estimated nine million deaths per year. Mathematical oncology, modeling the...
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A Mathematical Model of TCR-T Cell Therapy for Cervical Cancer
Engineered T cell receptor (TCR)-expressing T (TCR-T) cells are intended to drive strong anti-tumor responses upon recognition of the specific cancer...
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Integrating Diversity, Equity, and Inclusion into Preclinical, Clinical, and Public Health Mathematical Models
Mathematical modelling applied to preclinical, clinical, and public health research is critical for our understanding of a multitude of biological...
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Mathematical models of leukaemia and its treatment: a review
Leukaemia accounts for around 3% of all cancer types diagnosed in adults, and is the most common type of cancer in children of paediatric age...
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Mathematical modeling and bifurcation analysis for a biological mechanism of cancer drug resistance
Drug resistance is one of the most intractable issues in targeted therapy for cancer diseases. It has also been demonstrated to be related to cancer...
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Exact Traveling Wave Solutions of One-Dimensional Models of Cancer Invasion
AbstractIn this paper, we obtain exact analytical solutions of equations of continuous mathematical models of tumor growth and invasion based on the...
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Mathematical Model of Triple-Negative Breast Cancer in Response to Combination Chemotherapies
Triple-negative breast cancer (TNBC) is a heterogenous disease that is defined by its lack of targetable receptors, thus limiting treatment options...
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A Mathematical Model of the Disruption of Glucose Homeostasis in Cancer Patients
In this paper, we investigate the disruption of the glucose homeostasis at the whole-body level by the presence of cancer disease. Of particular...
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Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems
Theoretical and applied cancer studies that use individual-based models (IBMs) have been limited by the lack of a mathematical formulation that...
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Models for Implant-Induced Capsular Contracture Post Breast Cancer Surgery
Capsular contracture is a painful deformation of scar-tissue that may form around an implant in post-breast cancer reconstruction or cosmetic...
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A Mathematical Model of Stroma-Supported Allometric Tumor Growth
Mounting empirical research suggests that the stroma, or interface between healthy and cancerous tissue, is a critical determinate of cancer...
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Breast Cancer Exosomal microRNAs Facilitate Pre-Metastatic Niche Formation in the Bone: A Mathematical Model
Pre-metastatic niche is a location where cancer cells, separating from a primary tumor, find “fertile soil” for growth and proliferation, ensuring...
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A Mathematical Study of the Role of tBregs in Breast Cancer
A model for the mathematical study of immune response to breast cancer is proposed and studied, both analytically and numerically. It is a...
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Modelling Keloids Dynamics: A Brief Review and New Mathematical Perspectives
Keloids are fibroproliferative disorders described by excessive growth of fibrotic tissue, which also invades adjacent areas (beyond the original...
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Mathematical model for the estrogen paradox in breast cancer treatment
Estrogen is known to stimulate the growth of breast cancer, but is also effective in treating the disease. This is referred to as the“estrogen...
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A comparative study for mathematical modelling of the contest of CAR-T and tumour cells in solid cancers using fractional- and integer-order derivatives
Cancer is a disease resulting from the fractious growth and division of abnormal cells and has gotten consistent and dedicated attention from...
