scholarly journals Mathematical analysis of a kinetic model for enzymatic cellulose hydrolysis

2014 ◽  
Author(s):  
N. Mohd Jamil
Keyword(s):  
Kinetic Model ◽  
Mathematical Analysis ◽  
Cellulose Hydrolysis

scholarly journals Mathematical analysis of a kinetic model for cell movement in network tissues

2010 ◽  
Vol 14 (3) ◽  
pp. 1055-1080 ◽  
Author(s):  
Thomas Hillen ◽  
◽  
Peter Hinow ◽  
Zhi-An Wang ◽  
◽  
...  
Keyword(s):  
Kinetic Model ◽  
Mathematical Analysis ◽  
Cell Movement

An improved kinetic model for cellulose hydrolysis to 5-hydroxymethylfurfural using the solid SO42−/Ti-MCM-41 catalyst

RSC Advances ◽  
2014 ◽  
Vol 4 (29) ◽  
pp. 15216 ◽  
Author(s):  
Chong-Wen Jiang ◽  
Xin Zhong ◽  
Zheng-Hong Luo
Keyword(s):  
Kinetic Model ◽  
Cellulose Hydrolysis ◽  
Mcm 41

scholarly journals Development of modified HCH-1 kinetic model for long-term enzymatic cellulose hydrolysis and comparison with literature models

2019 ◽  
Vol 12 (1) ◽  
Author(s):  
Chao Liang ◽  
Chao Gu ◽  
Jonathan Raftery ◽  
M. Nazmul Karim ◽  
Mark Holtzapple
Keyword(s):  
Kinetic Model ◽  
Cellulose Hydrolysis

scholarly journals A Kinetic Model of Tumor/Immune System Cellular Interactions

2002 ◽  
Vol 4 (1) ◽  
pp. 39-50 ◽  
Author(s):  
Luisa Arlotti ◽  
Andrea Gamba ◽  
Miroslaw Lachowicz
Keyword(s):  
Immune System ◽  
Kinetic Model ◽  
Linear System ◽  
Kinetic Theory ◽  
Mathematical Analysis ◽  
Probabilistic Methods ◽  
Tumor Proliferation ◽  
Characteristic Scale ◽  
Cellular Interactions ◽  
Computational Simulations

In this paper, a model of cellular tumor dynamics in competition with the immune system is proposed. The characteristic scale of the phenomenon is the cellular one and the model is developed with probabilistic methods analogous to those of the kinetic theory. The interacting individuals are the cells of the populations involved in the competition between the tumor and the immune system. Interactions can change the activation state of the tumor and cause tumor proliferation or destruction. The model is expressed in terms of a bi-linear system of integro-differential equations. Some preliminary mathematical analysis of the model as well as computational simulations are presented.

Determination of Kinetic Parameters for Enzymatic Cellulose Hydrolysis Using Hybrid Differential Evolution

2012 ◽  
Vol 9 (1) ◽  
Author(s):  
Yu-Ting Chen ◽  
Feng-Sheng Wang
Keyword(s):  
Kinetic Model ◽  
Differential Evolution ◽  
Geometric Mean ◽  
Cellulose Hydrolysis ◽  
Model Parameters ◽  
Ph Effects ◽  
Dynamic Behaviors ◽  
Hydrolysis Process ◽  
Dynamical Description ◽  
Initial Starting

A kinetic model could provide a dynamical description of mechanism in that it is required for analysis, design, optimization and control. Temperature and pH could affect the cellulose activity. In this study, we have introduced the kinetic model, which includes temperature and pH effects, to describe dynamic behaviors of the enzymatic hydrolysis of cellulose to glucose. A commercial enzyme was applied to the hydrolysis process. Various batch time-series observations were collected and used to estimate the model parameters of the kinetic model. Hybrid differential evolution with a geometric mean mutation was applied to determine optimal estimates, and then such estimates were used as the initial starting for a gradient-based method to obtain the refined solution. The approach is capable of predicting the dynamic behaviors of the cellulose hydrolysis process as observed extra experimental validations. Furthermore, the time-average sensitivities were applied to evaluate accuracy and robustness of the mathematical model.

Density waves in disk galaxies

1967 ◽  
Vol 31 ◽  
pp. 313-317 ◽  
Author(s):  
C. C. Lin ◽  
F. H. Shu
Keyword(s):  
Mathematical Analysis ◽  
Spiral Structure ◽  
Stellar System ◽  
Collective Modes ◽  
Disk Galaxies ◽  
Spiral Pattern ◽  
Density Waves ◽  
The Galaxy ◽  
Detailed Mathematical Analysis

Density waves in the nature of those proposed by B. Lindblad are described by detailed mathematical analysis of collective modes in a disk-like stellar system. The treatment is centered around a hypothesis of quasi-stationary spiral structure. We examine (a) the mechanism for the maintenance of this spiral pattern, and (b) its consequences on the observable features of the galaxy.

Computing cell tractions from particle displacements on silicone rubber substrata

1994 ◽  
Vol 52 ◽  
pp. 162-163
Author(s):  
Tim Oliver ◽  
Akira Ishihara ◽  
Ken Jacobsen ◽  
Micah Dembo
Keyword(s):  
Plane Stress ◽  
Linear Elasticity ◽  
Silicone Rubber ◽  
Mathematical Analysis ◽  
Elastic Recovery ◽  
Video Images ◽  
Cell Traction Forces ◽  
Latex Beads ◽  
Cell Traction ◽  
Better Than

In order to better understand the distribution of cell traction forces generated by rapidly locomoting cells, we have applied a mathematical analysis to our modified silicone rubber traction assay, based on the plane stress Green’s function of linear elasticity. To achieve this, we made crosslinked silicone rubber films into which we incorporated many more latex beads than previously possible (Figs. 1 and 6), using a modified airbrush. These films could be deformed by fish keratocytes, were virtually drift-free, and showed better than a 90% elastic recovery to micromanipulation (data not shown). Video images of cells locomoting on these films were recorded. From a pair of images representing the undisturbed and stressed states of the film, we recorded the cell’s outline and the associated displacements of bead centroids using Image-1 (Fig. 1). Next, using our own software, a mesh of quadrilaterals was plotted (Fig. 2) to represent the cell outline and to superimpose on the outline a traction density distribution. The net displacement of each bead in the film was calculated from centroid data and displayed with the mesh outline (Fig. 3).

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