scholarly journals Sustained oscillations and time delays in gene expression of protein Hes1

FEBS Letters ◽  
2003 ◽  
Vol 541 (1-3) ◽  
pp. 176-177 ◽  
Author(s):  
M.H Jensen ◽  
K Sneppen ◽  
G Tiana
Keyword(s):  
Gene Expression ◽  
Time Delays ◽  
Sustained Oscillations

scholarly journals Rhythmic and sustained oscillations in metabolism and gene expression of Cyanothece sp. ATCC 51142 under constant light

2013 ◽  
Vol 4 ◽  
Author(s):  
Sandeep B. Gaudana ◽  
S. Krishnakumar ◽  
Swathi Alagesan ◽  
Madhuri G. Digmurti ◽  
Ganesh A. Viswanathan ◽  
...  
Keyword(s):  
Gene Expression ◽  
Constant Light ◽  
Sustained Oscillations

scholarly journals Memory effects and self-excited oscillations in deterministic epidemic models with intrinsic time delays

2020 ◽  
Vol 135 (10) ◽  
Author(s):  
R. De Luca ◽  
F. Romeo
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Time Delays ◽  
Extended Model ◽  
Intrinsic Properties ◽  
Fixed Size ◽  
Deterministic Models ◽  
Sustained Oscillations ◽  
Size Population ◽  
Delay Differential

AbstractThe simplest delay differential equation describing the dynamics of non-lethal infectious diseases in a fixed-size population is extended to include the incubation period, as an additional delay parameter. It is observed that these types of deterministic models consist of one delay differential equation, whereas standard SIR and SEIR models consist of two and three ordinary differential equations, respectively. The extended model presents interesting peculiarities as, for example, initial oscillatory patterns in the curve counting the infectious individuals. A comparison of the doubly delayed differential equation with the standard SEIR model is made. It is argued that self-sustained oscillations, which are intrinsic properties of models with time delay, have to be taken into account in designing optimal epidemic containment strategies.

OSCILLATORY DYNAMICS INDUCED BY MULTI-DELAYS IN GENE EXPRESSION

2011 ◽  
Vol 14 (03) ◽  
pp. 451-469 ◽  
Author(s):  
QI WANG ◽  
BO LIU ◽  
SHIWEI YAN
Keyword(s):  
Gene Expression ◽  
Mathematical Method ◽  
Hopf Bifurcation ◽  
Positive Feedback ◽  
Time Delays ◽  
Chaotic Dynamics ◽  
Biochemical Reaction ◽  
Reaction Systems ◽  
Oscillatory Dynamics ◽  
Model Equations

We discuss the existence of Hopf bifurcation, the dynamical stability breaking of the molecular concentrations of two generic biochemical reaction systems and their sensitivity to the changes of the parameters incorporated in the model equations. It is found that the oscillatory dynamics can be expected for the systems due to the inclusion of time delays. The chaotic dynamics and the periodic windows in the chaotic domains can exist in the case of the system with two time delays. The proposed mathematical method may have the significance in the problems where the negative and/or positive feedback dynamics, as well as the time delays have the characteristic physical and biological background.

scholarly journals Intrinsic noise, Delta-Notch signalling and delayed reactions promote sustained, coherent, synchronized oscillations in the presomitic mesoderm

2019 ◽  
Vol 16 (160) ◽  
pp. 20190436 ◽  
Author(s):  
Joseph W. Baron ◽  
Tobias Galla
Keyword(s):  
Gene Expression ◽  
Intrinsic Noise ◽  
Active Role ◽  
Notch Signalling ◽  
Presomitic Mesoderm ◽  
Segmentation Clock ◽  
Sustained Oscillations ◽  
Stochastic Waves ◽  
Delayed Reactions ◽  
Modelling Approach

Using a stochastic individual-based modelling approach, we examine the role that Delta-Notch signalling plays in the regulation of a robust and reliable somite segmentation clock. We find that not only can Delta-Notch signalling synchronize noisy cycles of gene expression in adjacent cells in the presomitic mesoderm (as is known), but it can also amplify and increase the coherence of these cycles. We examine some of the shortcomings of deterministic approaches to modelling these cycles and demonstrate how intrinsic noise can play an active role in promoting sustained oscillations, giving rise to noise-induced quasi-cycles. Finally, we explore how translational/transcriptional delays can result in the cycles in neighbouring cells oscillating in anti-phase and we study how this effect relates to the propagation of noise-induced stochastic waves.

A Method to Construct Gene Regulatory Networks to Estimate and Calculate Time Delays

2013 ◽  
Vol 62 (1) ◽  
Author(s):  
Mohd Saberi Mohamad ◽  
Chai Suk Phin
Keyword(s):  
Gene Expression ◽  
Gene Regulatory Network ◽  
Regulatory Network ◽  
Time Delays ◽  
Time Course ◽  
Target Gene ◽  
Biological Research ◽  
Expression Change ◽  
Gene Regulatory ◽  
Regulator Genes

In general, the motive of this research is to infer gene regulatory network in order to clarify the basis consequences of biological process at the molecular level. Time course gene expression profiling dataset has been widely used in basic biological research, especially in transcription regulation studies since the microarray dataset is a short time course gene expression dataset and have lots of errors, missing value, and noise.  In this research, R library is implemented in this method to construct gene regulatory which aims to estimate and calculate the time delays between genes and transcription factor. Time delay is the parameters of the modeled time delay linear regression models and a time lag during gene expression change of the regulator genes toward target gene expression. The constructed gene regulatory network provided information of time delays between expression change in regulator genes and its target gene which can be applied to investigate important time-related biological process in cells. The result of time delays and regulation patterns in gene regulatory network may contribute into biological research such as cell development, cell cycle, and cell differentiation in any of living cells.

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