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 …

Physiological processes rely on the control of cell proliferation, and the dysregulation of
these processes underlies various pathological conditions, including cancer. Mathematical …

Quantitative modeling is quickly becoming an integral part of biology, due to the ability of
mathematical models and computer simulations to generate insights and predict the …

In many human cancers, the rate of cell growth depends crucially on the size of the tumor
cell population. Low, zero, or negative growth at low population densities is known as the …

Background The population growth rate is an important characteristic of any cell culture.
During sustained experiments, the growth rate may vary due to competition or adaptation …

Cancer evolution and progression are shaped by cellular interactions and Darwinian
selection. Evolutionary game theory incorporates both of these principles, and has been …

Tumors cannot be understood in isolation from their microenvironment. Tumor and stromal
cells change phenotype based upon biochemical and biophysical inputs from their …

Non-small cell lung cancer (NSCLC) patients with activating EGFR mutations are often
successfully treated with EGFR tyrosine kinase inhibitor (TKI) such as erlotinib; however …

Colorectal cancer (CRC) is a major cause of morbidity and mortality in the United States.
Tumor-stromal metabolic crosstalk in the tumor microenvironment promotes CRC …

Background Colorectal cancer (CRC) mortality is principally due to metastatic disease, with
the most frequent organ of metastasis being the liver. Biochemical and mechanical factors …