From kinetic models of multicellular growing systems to macroscopic biological tissue models
نویسندگان
چکیده
منابع مشابه
Multicellular Biological Growing Systems: Hyperbolic Limits towards Macroscopic Description
This paper deals with the analysis of the asymptotic limit towards the derivation of hyperbolic macroscopic equations for a class of equations modeling complex multicellular systems. Cellular interactions generate both modification of biological functions and proliferating destructive events related to growth of tumor cells in competition with the immune system. The asymptotic analysis refers t...
متن کاملStudy of Growth Kinetic Models of a Methanotroph Bacterium Growing on Natural Gas
Kinetics of single cell protein production from natural gas by a microorganism (a Methylomonas sp.) was studied experimentally and by modeling at equal amount of air and natural gas. Kinetic models of Monod, Moser, Teissier, Aiba, Andrews, and Noack were used for illustrating cell growth. Methane and oxygen were considered as limited substrates with concentration in the range 2-10 mg/lit. Death...
متن کاملFrom Microscopic to Macroscopic Traffic Models
The paper presents a systematic derivation of macroscopic equations for freeway traffic flow from an Enskog-like kinetic approach. The resulting fluid-dynamic traffic equations for the spatial density, average velocity, and velocity variance of vehicles are compared to equations, which can be obtained from a microscopic force model of individual vehicle motion. Simulation results of the models ...
متن کاملSimulation of Pedestrian Dynamics with Macroscopic and Microscopic Mathematical Models
Here, we collect two parts of a research project on the pedestrian flow modeling. Rapid growth in the volume of public transport and the need for its reasonable, efficient planning have made the description and modeling of transport and pedestrian behaviors as important research topics in the past twenty years. First, we present a macroscopic model for the pedestrian flow based on continuum mec...
متن کاملParametrising kinetic models of biological networks
Systems biology seeks to model biological networks dynamically. Two requirements need to be fulfilled for this to be possible. First, the interaction networks need to be known. Second, the dynamics of the interactions have to be revealed. Dynamics of interactions are described by rate laws using kinetics. These kinetics describe the interaction mechanism. For each single interaction occurring i...
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: Nonlinear Analysis: Real World Applications
سال: 2011
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2010.09.005