Introduction: Angiogenesis, the process of new blood vessel formation from pre-existing vessels, has important physiological roles in embryonic development, female reproduction cycle, and wound healing. It is also crucial for pathological processes in several diseases especially tumor growth and metastasis. Thereby, inhibition of angiogenesis as an addition to the conventional therapies such...

The tumor microenvironment (TME) is an intricate ecosystem that actively involved in various stages of cancer occurrence and development. Some characteristics biological behavior, such as proliferation, migration, invasion, inhibition apoptosis, immune escape, angiogenesis, metabolic reprogramming, are affected by TME. Studies have shown non-coding RNAs, especially long-chain RNAs microRNAs can...

This paper concerns a free boundary problem modeling tumor growth with angiogenesis and two time delays. The delays represent the taken for cells to undergo mitosis modify rate of cell loss because apoptosis, respectively. We study stability stationary solutions find that Hopf bifurcation occurs under some conditions, which extends results Xu. Furthermore, numerical simulations are performed in...

Tumor microenvironments are the result of cellular alterations in cancer that support unrestricted growth and proliferation further modifications cell behavior, which critical for tumor progression. Angiogenesis therapeutic resistance known to be modulated by hypoxia other microenvironments, such as acidic stress, both core features glioblastoma microenvironment. Hypoxia has also been shown pro...

Glioblastoma is one of the most common primary brain tumors (80% of patients) that has a poor prognosis due to malignancy. Glioblastoma has an annual incidence of 5.26 per 100 000 population or 17 000 new diagnoses per year and so as the population aging, the number of patients is expected to increase. There is a growing body of literature investigating the tumor microenvironmenta...