Protein tyrosine kinases (PTKs) are enzymes that transfer phosphate groups to tyrosine
residues on protein substrates. Phosphorylation of proteins causes changes in their function …

Colorectal tumours that are wild type for KRAS are often sensitive to EGFR blockade, but
almost always develop resistance within several months of initiating therapy,. The …

Cancer is a clonal evolutionary process. This presents challenges for effective therapeutic
intervention, given the constant selective pressure toward drug resistance. Mathematical …

The vast majority of mutations in the exome of cancer cells are passengers, which do not
affect the reproductive rate of the cell. Passengers can provide important information about …

Molecular targeted drugs are clinically effective anti-cancer therapies. However, tumours
treated with single agents usually develop resistance. Here we use colorectal cancer (CRC) …

Targeted therapies provide an exciting new approach to combat human cancer. The
immediate effect is a dramatic reduction in disease burden, but in most cases, the tumor …

In this chapter, we will use multitype branching processes with mutation to model cancer.
With cancer progression, resistance to therapy, and metastasis in mind, we will investigate τ …

Purpose Drug resistance is a major impediment to the success of cancer treatment.
Resistance is typically thought to arise from random genetic mutations, after which mutated …

Targeted therapies have revolutionized cancer treatment. Unfortunately, their success is
limited due to the development of drug resistance within the tumor, which is an evolutionary …

The emergence of resistance to chemotherapy by cancer cells, when combined with
metastasis, is the primary driver of mortality in cancer and has proven to be refractory to …