Exogenous control of vascular network formation in vitro: a mathematical model
نویسندگان
چکیده
The reconstitution of a proper and functional vascular network is a major issue in tissue engineering and regeneration. The limited success of current technologies may be related to the difficulties to build a vascular tree with correct geometric ratios for nutrient delivery. The present paper develops a mathematical model suggesting how an anisotropic vascular network can be built in vitro by using exogenous chemoattractant and chemorepellent. The formation of the network is strongly related to the nonlinear characteristics of the model.
منابع مشابه
Modelling Tumor-induced Angiogenesis: Combination of Stochastic Sprout Spacing and Sprout Progression
Background: Angiogenesis initiated by cancerous cells is the process by which new blood vessels are formed to enhance oxygenation and growth of tumor. Objective: In this paper, we present a new multiscale mathematical model for the formation of a vascular network in tumor angiogenesis process. Methods: Our model couples an improved sprout spacing model as a stochastic mathematical model of spro...
متن کاملAnalyzing Bullwhip Effect in Supply Networks under Exogenous Uncertainty
This paper explains a model for analyzing and measuring the propagation of order amplifications (i.e. bullwhip effect) for a single-product supply network topology considering exogenous uncertainty and linear and time-invariant inventory management policies for network entities. The stream of orders placed by each entity of the network is characterized assuming customer demand is ergodic. In fa...
متن کاملA Nonlinear Autoregressive Model with Exogenous Variables Neural Network for Stock Market Timing: The Candlestick Technical Analysis
In this paper, the nonlinear autoregressive model with exogenous variables as a new neural network is used for timing of the stock markets on the basis of the technical analysis of Japanese Candlestick. In this model, the “nonlinear autoregressive model with exogenous variables” is an analyzer. For a more reliable comparison, here (like the literature) two approaches of Raw-based and Signal-ba...
متن کاملPrediction of Above-elbow Motions in Amputees, based on Electromyographic(EMG) Signals, Using Nonlinear Autoregressive Exogenous (NARX) Model
Introduction In order to improve the quality of life of amputees, biomechatronic researchers and biomedical engineers have been trying to use a combination of various techniques to provide suitable rehabilitation systems. Diverse biomedical signals, acquired from a specialized organ or cell system, e.g., the nervous system, are the driving force for the whole system. Electromyography(EMG), as a...
متن کاملCapillary Network Formation by Endothelial Cells Differentiated from Human Bone Marrow Mesenchymal Stem Cells
Human bone marrow derived mesenchymal stem cells (HBMSCs) have the potential to differentiate into cells such as adipocyte, osteocyte, hepatocyte and endothelial cells. In this study, the differentiation of hBMSCs into endothelial like-cells was induced in presence of vascular endothelial growth factor (VEGF) and insulin-like growth factor (IGF-1). The differentiated endothelial cells were exam...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- NHM
دوره 1 شماره
صفحات -
تاریخ انتشار 2006