Proposal of a hybrid approach for tumor progression and tumor-induced angiogenesis

Abstract

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 therapies efficacy. For this purpose, incorporate the expertise from applied mathematicians, biologists and physicians is highly desirable. Despite the existence of a very wide range of models, involving many stages in cancer progression, few models have been proposed to take into account all relevant processes in tumor progression, in particular the effect of systemic treatments and angiogenesis. Composite biological experiments, both in vitro and in vivo, in addition with mathematical modelling can provide a better understanding of theses aspects. In this work we proposed that a rational experimental design associated with mathematical modelling could provide new insights into cancer progression. To accomplish this task, we reviewed mathematical models and cancer biology literature, describing in detail the basic principles of mathematical modelling. We also analyze how experimental data regarding tumor cells proliferation and angiogenesis in vitro may fit with mathematical modelling in order to reconstruct in vivo tumor evolution. Additionally, we explained the mathematical methodology in a comprehensible way in order to facilitate its future use by the scientific community.

Association between expression of nuclear receptor co‑activator 5 protein and prognosis in postoperative patients with osteosarcoma

“…In particular, cell signaling proteins, growth factors and their receptors, apoptotic proteins and transcription factors, and the changes to these factors are closely associated with the occurrence and development of tumors (20,21). Previous studies have also revealed that the NCOA5 protein may be associated with interleukin (IL)-6, tumor necrosis factor (TNF)-α and nuclear factor (NF)-κB (22)(23)(24). Prevention of the overexpression of IL-6 may limit the occurrence and development of certain types of cancer.…”

Pro-angiogenic Role of Insulin: From Physiology to Pathology

“…Nevertheless, since vessels nourish nearly every cell in the body, decreased or increased angiogenesis can impact body function. Then, angiogenesis is beneficial for tissue growth and regeneration, but also it can enhance inflammatory response or malignant diseases; or can contribute to cancer metastasis leading to mortality (Cumsille et al, 2015). …”

A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis

“…Therefore it makes sense to assume that the cells, which are in most need of a reliable vascularisation, are secreting factors which induce the necessary blood vessel growth. This assumption has already been suggested in [7,14]. A very important example for tumour nutrient is oxygen.…”