A two-dimensional population balance model for cell growth including multiple uptake systems
نویسندگان
چکیده
منابع مشابه
Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis
Angiogenesis is a key process in the tumoral growth which allows the cancerous tissue to impact on its vasculature in order to improve the nutrient’s supply and the metastatic process. In this paper, we introduce a model for the density of metastasis which takes into account for this feature. It is a two dimensional structured equation with a vanishing velocity field and a source term on the bo...
متن کاملA Population Balance Model of Cell Cycle-specific Tumor Growth
Chemotherapeutics are often treated as having a lumped tumor effect, however, the growth state and exposure for individual cancer cells ultimately determines the response of the tumor to treatment. A multi-staged, age structured cell population balance equation (PBE) capable of cell-cycle tracking was formulated to account for this limitation. The method of orthogonal collocation on finite elem...
متن کاملDynamic Simulation and Control of a Continuous Bioreactor Based on Cell Population Balance Model
Saccharomyces cerevisiae (baker’s yeast) can exhibit sustained oscillations during the operation in a continuous bioreactor that adversely affects its stability and productivity. Because of heterogeneous nature of cell populations, the cell population balance equation (PBE) can be used to capture the dynamic behavior of such cultures. In this work, an unstructured-segregated model is used f...
متن کاملA two-dimensional numerical model of a planar solid oxide fuel cell
A two-dimensional CFD model of a planar solid oxide fuel cell (SOFC) has been developed.This model can predict the performance of SOFC at various operating and design conditions.The effect of Knudsen diffusion is accounted in the porous electrode (backing) and reaction zonelayers. The mathematical model solves conservation of electrons and ions and conservation ofspecies. The model is formulate...
متن کاملCalibration of a Two-Dimensional Root Water Uptake Model
mates of the temporal and spatial root water uptake patterns are needed. Quantification of root water exAlthough solutions of multidimensional transient water flow can traction rates also contributes to an improved underbe obtained by numerical modeling, their application may be limited in part as root water uptake is generally considered to be one-dimenstanding of chemical fluxes in the vadose...
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: Chemical Engineering Research and Design
سال: 2018
ISSN: 0263-8762
DOI: 10.1016/j.cherd.2018.02.025