Mathematical models of tumor cell proliferation: A review of the literature

AM Jarrett, EABF Lima, DA Hormuth… - Expert review of …, 2018‏ - Taylor & Francis
Introduction: A defining hallmark of cancer is aberrant cell proliferation. Efforts to understand
the generative properties of cancer cells span all biological scales: from genetic deviations …

[HTML][HTML] Crosstalk between HER2 and PD-1/PD-L1 in breast cancer: from clinical applications to mathematical models

R Padmanabhan, HS Kheraldine, N Meskin, S Vranic… - Cancers, 2020‏ - mdpi.com
Breast cancer is one of the major causes of mortality in women worldwide. The most
aggressive breast cancer subtypes are human epidermal growth factor receptor-positive …

Quantification of long-term doxorubicin response dynamics in breast cancer cell lines to direct treatment schedules

GR Howard, TA Jost, TE Yankeelov… - PLOS Computational …, 2022‏ - journals.plos.org
While acquired chemoresistance is recognized as a key challenge to treating many types of
cancer, the dynamics with which drug sensitivity changes after exposure are poorly …

A mathematical model of breast tumor progression based on immune infiltration

N Mohammad Mirzaei, S Su, D Sofia… - Journal of Personalized …, 2021‏ - mdpi.com
Breast cancer is the most prominent type of cancer among women. Understanding the
microenvironment of breast cancer and the interactions between cells and cytokines will …

Using mathematical modelling and AI to improve delivery and efficacy of therapies in cancer

C Harkos, AG Hadjigeorgiou, C Voutouri… - Nature Reviews …, 2025‏ - nature.com
Mathematical modelling has proven to be a valuable tool in predicting the delivery and
efficacy of molecular, antibody-based, nano and cellular therapy in solid tumours …

Mathematical modeling of tumor growth and treatment: Triple negative breast cancer

HC Wei - Mathematics and Computers in Simulation, 2023‏ - Elsevier
In this study, a mathematical model of triple negative breast cancer (TNBC) with checkpoint
inhibitor immunotherapy is proposed. The mathematical model includes interactions …

Analysis and modeling of cancer drug responses using cell cycle phase-specific rate effects

SM Gross, F Mohammadi, C Sanchez-Aguila… - Nature …, 2023‏ - nature.com
Identifying effective therapeutic treatment strategies is a major challenge to improving
outcomes for patients with breast cancer. To gain a comprehensive understanding of how …

Experimentally-driven mathematical modeling to improve combination targeted and cytotoxic therapy for HER2+ breast cancer

AM Jarrett, A Shah, MJ Bloom, MT McKenna… - Scientific reports, 2019‏ - nature.com
The goal of this study is to experimentally and computationally investigate combination
trastuzumab-paclitaxel therapies and identify potential synergistic effects due to sequencing …

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

AM Jarrett, MJ Bloom, W Godfrey… - … and biology: a …, 2019‏ - academic.oup.com
The goal of this study is to develop an integrated, mathematical–experimental approach for
understanding the interactions between the immune system and the effects of trastuzumab …

Translational models of tumor angiogenesis: a nexus of in silico and in vitro models

S Soleimani, M Shamsi, MA Ghazani… - Biotechnology …, 2018‏ - Elsevier
Emerging evidence shows that endothelial cells are not only the building blocks of vascular
networks that enable oxygen and nutrient delivery throughout a tissue but also serve as a …