Angiogenesis process with vessel impairment for Gompertzian and logistic type of tumour growth
نویسندگان
چکیده
منابع مشابه
The Branching Process with Logistic Growth
In order to model random density-dependence in population dynamics, we construct the random analogue of the well-known logistic process in the branching process’ framework. This densitydependence corresponds to intraspecific competition pressure, which is ubiquitous in ecology, and translates mathematically into a quadratic death rate. The logistic branching process, or LB-process, can thus be ...
متن کاملVessel growth and angiogenesis 2. Fetal growth restriction and angiogenesis 3. Angiogenic growth factors in fetal growth restriction 1. Vessel growth and angiogenesis
The placenta is the organ that is responsible for providing the developing fetus with all the nutrients necessary for its growth and is also responsible for removing fetal waste. Placentation is a crucial process that includes angiogenesis. Angiogenesis involves not only the fetal circulation, but also placental and endometrial vascular changes. In this study, we review the literature regarding...
متن کامل[Glial stem cells and their relationship with tumour angiogenesis process].
INTRODUCTION A subpopulation of neoplastic cells with characteristics of stem cells has been described on human multiform glioblastomas. These cells play a pivotal role in tumour angiogenesis and malignancy being involved in infiltration of adjacent normal parenchyma. The named glial stem cells could be responsible for recurrences after surgery. This is due to their survival capacity after quim...
متن کاملLogistic Equations in Tumour Growth Modelling
The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applicationes Mathematicae
سال: 2009
ISSN: 1233-7234,1730-6280
DOI: 10.4064/am36-3-5