In oncology, positron emission tomography (PET) is an important tool for tumour diagnosis
and staging, assessment of response to treatment and evaluation of the pharmacokinetic …

Integrated intravital microscopy and mathematical modeling to optimize nanotherapeutics
delivery to tumors | AIP Advances | AIP Publishing Skip to Main Content Umbrella Alt Text …

Background The epidermal growth factor receptor (EGFR) signaling pathway and
angiogenesis in brain cancer act as an engine for tumor initiation, expansion and response …

Pathological angiogenesis has been extensively explored by the mathematical modelling
community over the past few decades, specifically in the contexts of tumour-induced …

We consider a free boundary problem for a system of partial differential equations, which
arises in a model of tumor growth with a necrotic core. For any positive number R and 0< ρ< …

Angiogenesis, the formation of new blood vessels, is a crucial step in solid tumour
development, as it links the relatively harmless avascular and the potentially fatal vascular …

Cancer is primarily a disease of the physiological control on cell population proliferation.
Tissue proliferation relies on the cell division cycle: one cell becomes two after a sequence …

A computational model is potentially a powerful tool to apprehend complex phenomena like
solid tumour growth and to predict the outcome of therapies. To that end, the confrontation of …

A biophysical tool is introduced that seeks to provide a theoretical basis for helping drug
design teams assess the most promising drug targets and design optimal treatment …

Noise induced evolution and transition in an anti-tumor model under immune surveillance
are investigated in the presence of additive fractional Gaussian noises. Unlike white …