Malignant solid tumors recruit the blood vessel network of the host tissue for nutrient supply,
continuous growth, and gain of metastatic potential. Angiogenesis (the formation of new …

Although mathematical modeling is a mainstay for industrial and many scientific studies,
such approaches have found little application in neurosurgery. However, the fusion of …

Various models of tumour growth are available in the literature. The first type describe the
evolution of the cell number density when considered as a continuous visco-elastic material …

Block copolymer nanostructures are smart, intelligent, and environment sensitive
nanostructures designed to respond in a controlled manner to an external stimulus. Block …

One of the main challenges in cancer modelling is to improve the knowledge of tumor
progression in areas related to tumor growth, tumor-induced angiogenesis and targeted …

In this paper, we reformulate the diffuse interface model of the tumor growth (SM Wise et al.,
Three-dimensional multispecies nonlinear tumor growth-I: model and numerical method, J …

Computational modelling of diseases is an emerging field, proven valuable for the
diagnosis, prognosis and treatment of the disease. Cancer is one of the diseases where …

The last 25 years witnessed tremendous achievements in cancer diagnose and treatment.
Technology currently permits small size tumors (like breast cancers) diagnosis and …

Invasion of the surrounding tissue is one of the hallmarks of cancer. Solid tumours have a
reciprocal relationship with the surrounding microenvironment, a complex tissue composed …

A mass of cells that grow without normal bounds is termed a benign tumour if it does not
invade locally into the tissue and malignant when it invades into its surrounding tissue …