scholarly journals Matrix expression of finite Boolean-type algebras

2021 ◽  
Vol 395 ◽  
pp. 125880
Author(s):  
Shihua Fu ◽  
Daizhan Cheng ◽  
Jun-e Feng ◽  
Jianli Zhao
Keyword(s):  
Matrix Expression

ALGEBRAIC APPROACH TO DYNAMICS OF MULTIVALUED NETWORKS

2010 ◽  
Vol 20 (03) ◽  
pp. 561-582 ◽  
Author(s):  
ZHIQIANG LI ◽  
DAIZHAN CHENG
Keyword(s):  
Discrete Time ◽  
Transition Matrix ◽  
Algebraic Approach ◽  
Bilinear System ◽  
Logical Function ◽  
Control Networks ◽  
Logical Network ◽  
Multilinear Mapping ◽  
Network Transition ◽  
Matrix Expression

Using semi-tensor product of matrices, a matrix expression for multivalued logic is proposed, where a logical variable is expressed as a vector, and a logical function is expressed as a multilinear mapping. Under this framework, the dynamics of a multivalued logical network is converted into a standard discrete-time linear system. Analyzing the network transition matrix, easily computable formulas are obtained to show (a) the number of equilibriums; (b) the numbers of cycles of different lengths; (c) transient period, the minimum time for all points to enter the set of attractors, respectively. A method to reconstruct the logical network from its network transition matrix is also presented. This approach can also be used to convert the dynamics of a multivalued control network into a discrete-time bilinear system. Then, the structure and the controllability of multivalued logical control networks are revealed.

Knockdown of IRF3 inhibits extracellular matrix expression in keloid fibroblasts

2017 ◽  
Vol 88 ◽  
pp. 1064-1068 ◽  
Author(s):  
Yi Zhang ◽  
Li Zhang ◽  
Xiao-hua Lin ◽  
Zhi-ming Li ◽  
Qi-yu Zhang
Keyword(s):  
Extracellular Matrix ◽  
Matrix Expression ◽  
Keloid Fibroblasts

Extracellular matrix expression of human prolapsed vaginal wall

2009 ◽  
Vol 29 (4) ◽  
pp. 582-586 ◽  
Author(s):  
Elizabeth Mosier ◽  
Victor K. Lin ◽  
Philippe Zimmern
Keyword(s):  
Extracellular Matrix ◽  
Vaginal Wall ◽  
Matrix Expression

Finding Cut-Edges and the Minimum Spanning Tree via Semi-Tensor Product Approach

2018 ◽  
Vol 6 (5) ◽  
pp. 459-472
Author(s):  
Xujiao Fan ◽  
Yong Xu ◽  
Xue Su ◽  
Jinhuan Wang
Keyword(s):  
Tensor Product ◽  
Spanning Tree ◽  
Minimum Spanning Tree ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
The Matrix ◽  
Product Approach ◽  
Matrix Expression ◽  
Necessary And Sufficient ◽  
Logical Functions

Abstract Using the semi-tensor product of matrices, this paper investigates cycles of graphs with application to cut-edges and the minimum spanning tree, and presents a number of new results and algorithms. Firstly, by defining a characteristic logical vector and using the matrix expression of logical functions, an algebraic description is obtained for cycles of graph, based on which a new necessary and sufficient condition is established to find all cycles for any graph. Secondly, using the necessary and sufficient condition of cycles, two algorithms are established to find all cut-edges and the minimum spanning tree, respectively. Finally, the study of an illustrative example shows that the results/algorithms presented in this paper are effective.

scholarly journals A MicroRNA-29 Mimic (Remlarsen) Represses Extracellular Matrix Expression and Fibroplasia in the Skin

2019 ◽  
Vol 139 (5) ◽  
pp. 1073-1081 ◽  
Author(s):  
Corrie L. Gallant-Behm ◽  
Joseph Piper ◽  
Joshua M. Lynch ◽  
Anita G. Seto ◽  
Seok Jong Hong ◽  
...  
Keyword(s):  
Extracellular Matrix ◽  
Matrix Expression

scholarly journals Protective Effects of Luteolin on Diabetic Nephropathy in STZ-Induced Diabetic Rats

2011 ◽  
Vol 2011 ◽  
pp. 1-7 ◽  
Author(s):  
Guo Guang Wang ◽  
Xiao Hua Lu ◽  
Wei Li ◽  
Xue Zhao ◽  
Cui Zhang
Keyword(s):  
Diabetic Nephropathy ◽  
Growth Factor ◽  
High Glucose ◽  
Transforming Growth Factor ◽  
Antioxidant Properties ◽  
Diabetic Rats ◽  
Heme Oxygenase 1 ◽  
Protective Effects ◽  
Sod Activity ◽  
Matrix Expression

Diabetic nephropathy is a long-term complication of diabetic mellitus. Many experimental evidences suggest that persistent hyperglycaemia generates intracellular reactive oxygen species (ROS) and upregulates transforming growth factor-b1 and extracellular matrix expression in mesangial and tubular epithelial cells, which is involved of free radicals in the pathogenesis of diabetes and more importantly in the development of diabetic complications. Antioxidants effectively inhibit high-glucose- and H2O2-induced transforming growth factor-b1 and fibronectin upregulation, thus providing evidence that ROS play an important role in high glucose-induced renal injury. The flavonoid luteolin has been shown to possess direct antioxidant activity, therefore we hypothesize that it may be useful in treatment of many chronic disease associated with oxidative stress, such as diabetic nephropathy via its antioxidant properties. Our results suggested that protection against development of diabetic nephropathy by luteolin treatment involved changes in superoxide dismutase (SOD) activity, the malondialdehyde (MDA) content and expression of Heme Oxygenase-1 (HO-1) protein.

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