mathematical model analysis
Recently Published Documents


TOTAL DOCUMENTS

70
(FIVE YEARS 27)

H-INDEX

8
(FIVE YEARS 1)

2021 ◽  
Author(s):  
Takaaki Yonekura ◽  
Munetaka Sugiyama

The view is widely accepted that the inhibitory effect of existing leaf primordia on new primordium formation determines phyllotactic patterning. Previous studies have shown that mathematical models based on such inhibitory effect can generate most of phyllotactic patterns. However, a few types of phyllotaxis still remain unaddressed. A notable example is costoid phyllotaxis showing spiromonostichy, which is characterized by a steep spiral with a small divergence angle and is unique to Costaceae plants. Costoid phyllotaxis has been called a "genuine puzzle" because it seems to disagree with the inhibitory effect-based mechanism. In an attempt to produce a steep spiral pattern, we developed a new mathematical model assuming that each leaf primordium emits not only the inhibitory effect but also some inductive effect. Computer simulations with the new model successfully generated a steep spiral pattern when these two effects met a certain relationship. The obtained steep spiral matched the real costoid phyllotaxis observed with Costus megalobractea. We also found by the mathematical model analysis that the early phyllotactic transition in the seedlings of this plant can be explained by the SAM enlargement.


2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Hubin Liu ◽  
Qi Xu ◽  
Shan Wu ◽  
Yulong Liu

Among the many diseases, the harm of infectious diseases is undoubtedly the first in terms of the scope of the disease and the threat to humans. In addition, most infectious diseases were regarded as terminal illnesses in the early stage of the outbreak. For example, smallpox and plague in history have even chosen to isolate patients and abandon them to prevent the spread of infectious diseases due to the lack of protection and treatment methods. Therefore, in the treatment of infectious diseases, epidemic prevention is very important. Based on this, this article discusses the research of special medical clothing design for epidemic prevention based on mathematical model analysis, hoping to provide strong help and support for epidemic prevention. First of all, this article understands the application status of mathematical models in the medical field and clothing design industry through literature research. Then, according to the functional requirements of antiepidemic medical special clothing in terms of protection from virus invasion and infection by other contact methods, this article established an antiepidemic clothing quality evaluation index system. Then, this article designs a simulation penetration test of pathogenic bacteria to test the protective function of the antiepidemic clothing and uses mathematical models to analyze the molecular structure and physical properties of the antiepidemic clothing materials. Finally, this article builds an analytic hierarchy model for the quality evaluation of epidemic prevention clothing based on the principle of analytic hierarchy process, analyzes the simulated experimental data and predicts the service life of the epidemic prevention clothing according to the performance degradation so that medical staff can replace it in time. The experimental results show that with the aid of mathematical model analysis, the quality of the epidemic prevention clothing is higher than the previous antiepidemic clothing design in terms of epidemic prevention performance, and in addition to the disposable epidemic prevention clothing, the multiple-use epidemic prevention clothing is not serious in the epidemic. Under these circumstances, it can maintain the antiepidemic performance for more than 2 months.


Robotica ◽  
2021 ◽  
pp. 1-19
Author(s):  
Guoxing Zhang ◽  
Donghao Zheng ◽  
Jinwei Guo ◽  
Yulei Hou ◽  
Daxing Zeng

SUMMARY A novel 3-R(RRR)R+R (R as revolute joint) hybrid antenna mechanism (HAM) is proposed for noncircular polarized antenna. First, its mobility characteristic is analyzed. Besides, its kinematics is deduced, and the velocity and acceleration are obtained. Afterward, its dynamic model is established. The actuation torques of each actuation joint are obtained. Its actuation torques are verified by mathematical model analysis and dynamic simulation. Furthermore, its workspace is also presented. Finally, the motion characteristics experimental results show that the 3-R(RRR)R+R HAM can carry out the azimuth and pitch motion. This research work serves as a fundamental theoretical basis for its further application.


2020 ◽  
Vol 28 (1) ◽  
Author(s):  
Birliew Fekede ◽  
Benyam Mebrate

AbstractIn this paper, we are concerned with a mathematical model of secondhand smoker. The model is biologically meaningful and mathematically well posed. The reproductive number $$R_{0}$$ R 0 is determined from the model, and it measures the average number of secondary cases generated by a single primary case in a fully susceptible population. If $$R_{0}<1,$$ R 0 < 1 , the smoking-free equilibrium point is stable, and if $$R_{0}>1,$$ R 0 > 1 , endemic equilibrium point is unstable. We also provide numerical simulation to show stability of equilibrium points. In addition, sensitivity analysis of parameters involving in the dynamic system of the proposed model has been included. The parameters involving in reproductive number measure the relative change in $$R_{0}$$ R 0 when the value of the parameter changes.


Sign in / Sign up

Export Citation Format

Share Document