Nonlinear dynamics in biochemical control systems

1994 ◽  
pp. 312-317
Author(s):  
A. Hunding
Keyword(s):  
Nonlinear Dynamics ◽  
Control Systems ◽  
Biochemical Control

scholarly journals Theory of hybrid dynamical systems and its applications to biological and medical systems

2010 ◽  
Vol 368 (1930) ◽  
pp. 4893-4914 ◽  
Author(s):  
Kazuyuki Aihara ◽  
Hideyuki Suzuki
Keyword(s):  
Nonlinear Dynamics ◽  
Dynamical Systems ◽  
Mathematical Modelling ◽  
Systems Theory ◽  
Control Systems ◽  
Hybrid Systems ◽  
Hybrid Dynamical Systems ◽  
Medical Systems ◽  
Theme Issue ◽  
And Control

In this introductory article, we survey the contents of this Theme Issue. This Theme Issue deals with a fertile region of hybrid dynamical systems that are characterized by the coexistence of continuous and discrete dynamics. It is now well known that there exist many hybrid dynamical systems with discontinuities such as impact, switching, friction and sliding. The first aim of this Issue is to discuss recent developments in understanding nonlinear dynamics of hybrid dynamical systems in the two main theoretical fields of dynamical systems theory and control systems theory. A combined study of the hybrid systems dynamics in the two theoretical fields might contribute to a more comprehensive understanding of hybrid dynamical systems. In addition, mathematical modelling by hybrid dynamical systems is particularly important for understanding the nonlinear dynamics of biological and medical systems as they have many discontinuities such as threshold-triggered firing in neurons, on–off switching of gene expression by a transcription factor, division in cells and certain types of chronotherapy for prostate cancer. Hence, the second aim is to discuss recent applications of hybrid dynamical systems in biology and medicine. Thus, this Issue is not only general to serve as a survey of recent progress in hybrid systems theory but also specific to introduce interesting and stimulating applications of hybrid systems in biology and medicine. As the introduction to the topics in this Theme Issue, we provide a brief history of nonlinear dynamics and mathematical modelling, different mathematical models of hybrid dynamical systems, the relationship between dynamical systems theory and control systems theory, examples of complex behaviour in a simple neuron model and its variants, applications of hybrid dynamical systems in biology and medicine as a road map of articles in this Theme Issue and future directions of hybrid systems modelling.

On the Dynamic Response of Actuation Devices in Nonlinear Dynamics Systems

2013 ◽  
Author(s):  
Jahangir Rastegar ◽  
Dake Feng
Keyword(s):  
Nonlinear Dynamics ◽  
Dynamic Response ◽  
Control Systems ◽  
Mechanical Systems ◽  
Inertial Load ◽  
Feed Forward ◽  
Feed Forward Control ◽  
Actuation System ◽  
Actuation Devices ◽  
Actuation Systems

This paper presents a study of the dynamic response of actuation devices used in mechanical systems with nonlinear dynamics such as robot manipulators. The study shows that the actuation forces/torques provided by actuation devices can be divided into two basic groups. The first group corresponds to the components of each actuator force/torque that is “actuator motion independent”. The dynamic response of this group is relatively high and limited only by the dynamic response limitations — for the case of electrically driven actuation systems — of the driving power amplifiers, electronics, computational and signal processing devices and components. The second group corresponds to those components of the actuator forces/torques that is “actuator motion dependent”. The dynamic response of this group is relatively low and dependent on the actuator effective inertial load and actuation speed. In all mechanical systems that are properly designed, the dynamic response of the first group is significantly higher than those of the second group. By separating the required actuating forces/torques into the above two groups, the dynamic response of such nonlinear dynamics systems may be determined for a given synthesized trajectory. The information can also be used to significantly increase the performance of control systems of such mechanical systems. When a feed-forward control signal is used, the performance of the system is shown to be significantly improved by generating each one of the group of components separately considering the dynamic response of the actuation system to each one of the groups of components. An example and practical methods of implementing the proposed feed-forward control for nonlinear dynamics systems are provided.

Nonlinear Dynamics of Fault Tolerant Spacecraft Control Systems *

1999 ◽  
Vol 32 (2) ◽  
pp. 8220-8225
Author(s):  
Ye.I. Somov ◽  
V.M. Matrosov ◽  
G.P. Anshakov ◽  
V.A. Rayevsky
Keyword(s):  
Nonlinear Dynamics ◽  
Control Systems ◽  
Fault Tolerant ◽  
Spacecraft Control

Biochemical control systems operating in the early hours of germination

1983 ◽  
Vol 61 (12) ◽  
pp. 3568-3577 ◽  
Author(s):  
Daphne J. Osborne
Keyword(s):  
Dna Repair ◽  
Nucleic Acids ◽  
Control Systems ◽  
Critical Role ◽  
Genetic Integrity ◽  
Biochemical Control

This review describes very early biochemical events during imbibition in seeds. It considers the control systems that regulate the production of nucleic acids and proteins when the dry seed first imbibes water. During the ageing of embryos in the dry state, DNA is progressively fragmented with an accumulation of single-stranded breaks. The critical role of DNA repair early in imbibition is considered in the context of genetic integrity of the nuclear template and successful germination.

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