Parameterisation of multi-scale continuum perfusion models from discrete vascular networks
نویسندگان
چکیده
منابع مشابه
From continuum Fokker-Planck models to discrete kinetic models.
Two theoretical formalisms are widely used in modeling mechanochemical systems such as protein motors: continuum Fokker-Planck models and discrete kinetic models. Both have advantages and disadvantages. Here we present a "finite volume" procedure to solve Fokker-Planck equations. The procedure relates the continuum equations to a discrete mechanochemical kinetic model while retaining many of th...
متن کاملAutomatic Parameterisation of Stochastic Petri Net Models of Biological Networks
Stochastic simulations are able to capture the fine grain behaviour and randomness of outcome of biological networks not captured by deterministic techniques. As such they are becoming an increasingly important tool in the biological community. However, current efforts in the stochastic simulation of biological networks are hampered by two main problems: firstly the lack of complete knowledge o...
متن کاملCoupled Nanostructures of Ribonucleic Acids: Developing Discrete-Continuum Models for Large Time-Scale Simulations
To describe many biological systems and phenomena it is often necessary to develop computationally feasible structural models that can be applied for large time-scale simulations comparable to the real time scale of biological processes. In this contribution we provide details on our recently developed coarse grained models for coupled RNA nanostructures (nanotubes) consisting of a series of na...
متن کاملContinuum models of multi-walled carbon nanotubes
Molecular mechanics (MM) simulations have been carried out to determine energetically favorable double-walled carbon nanotube (DWNT) structures, and analyze their infinitesimal extensional, torsional, radial expansion/contraction, and bending deformations. Loads are applied either to one wall or simultaneously to both walls of an open-ended DWNT. These results are compared against single-walled...
متن کاملDiscrete-time Multi-scale Systems
We introduce multi-scale filtering by the way of certain double convolution systems. We prove stability theorems for these systems and make connections with function theory in the poly-disc. Finally, we compare the framework developed here with the white noise space framework, within which a similar class of double convolution systems has been defined earlier.
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: Medical & Biological Engineering & Computing
سال: 2013
ISSN: 0140-0118,1741-0444
DOI: 10.1007/s11517-012-1025-2