A main goal of mathematical and computational oncology is to develop quantitative tools to
determine the most effective therapies for each individual patient. This involves predicting …

We present a survey of recent advancements in the emerging field of patient-specific
modeling (PSM). Researchers in this field are currently simulating a wide variety of tissue …

Background Mathematical modeling of biological processes is widely used to enhance
quantitative understanding of bio-medical phenomena. This quantitative knowledge can be …

Radiobiological models are essential components of modern radiotherapy. They are
increasingly applied to optimize and evaluate the quality of different treatment planning …

Glioblastoma multiforme (GBM) is a highly invasive primary brain tumour that has poor
prognosis despite aggressive treatment. A hallmark of these tumours is diffuse invasion into …

In this paper we use a hybrid multiscale mathematical model that incorporates both
individual cell behaviour through the cell-cycle and the effects of the changing …

This study aims to combine 3 different models, which take into account the pre-treatment,
during the treatment and post-treatment processes of the tumor growth, with the piecewise …

Clinical methods for assessing tumor response to therapy are largely rudimentary,
monitoring only temporal changes in tumor size. Our goal is to predict the response of breast …

Highlights•Systems biology approaches support drug development efforts.•Models of
angiogenesis aid in testing anti-angiogenic therapeutic strategies.•Models provide novel …

Radiotherapy is a commonly used treatment for cancer and is usually given in varying
doses. At low radiation doses relatively few cells die as a direct response to radiation but …