scholarly journals Pedestrian Guiding Signs Optimization for Airport Terminal

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Jianxin Lin ◽  
Rui Song ◽  
Jifeng Dai ◽  
Pengpeng Jiao
Keyword(s):  
Mathematical Model ◽  
Visual Field ◽  
Cellular Automation ◽  
Self Organized ◽  
Characteristic Behavior ◽  
Airport Terminal ◽  
Information Intensity

The pedestrian guiding sign (PGS) is used to lead people within the transportation terminal to their directions efficiently and without boundaries. In this paper, we aim to optimize the guiding signs for people in the comprehensive transportation terminal with a mathematical model, which describes the pedestrian's reaction, judgment, and perception of the outline about the guiding signs, as well as pedestrian's moving status through self-organized characteristic behavior. Furthermore, the model also reflects the information intensity of the guiding signs within the pedestrian's visual field which is taken as the influence level score of PGS. In order to solve the model, cellular automation (CA) is employed to simulate the characteristics of the pedestrians such as crowd moving and sign selection.

Investigation on Evaluation of Terminal Departure Capacity Based on Route Intersection

2013 ◽  
Vol 655-657 ◽  
pp. 2262-2265
Author(s):  
Jian Guo Kong
Keyword(s):  
Mathematical Model ◽  
Traffic Flow ◽  
Air Traffic ◽  
Flow Management ◽  
Air Traffic Flow Management ◽  
Flight Data ◽  
Proposed Model ◽  
Combining Data ◽  
Traffic Flow Management ◽  
Airport Terminal

Air traffic flow management is the key to evaluate airspace capacity reasonably and accurately. Based on the flight features of terminal route intersection, this paper builds a mathematical model for scattered flight of departure aircraft, and then evaluates the terminal capacity based on this model. By combining data from Flight Data Recorder (FDR) and flight schedule with the model, an example-runway 02R of Guangzhou Baiyun airport terminal was given to show the effectiveness of the proposed model.

scholarly journals Human rather than ape-like orbital morphology allows much greater lateral visual field expansion with eye abduction

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Eric Denion ◽  
Martin Hitier ◽  
Eric Levieil ◽  
Frédéric Mouriaux
Keyword(s):  
Computed Tomography ◽  
Mathematical Model ◽  
Visual Field ◽  
Sagittal Plane ◽  
Primary Position ◽  
Orbital Margin ◽  
Eye Motion ◽  
Human Skulls ◽  
The Mathematical Model ◽  
Tomography Data

Abstract While convergent, the human orbit differs from that of non-human apes in that its lateral orbital margin is significantly more rearward. This rearward position does not obstruct the additional visual field gained through eye motion. This additional visual field is therefore considered to be wider in humans than in non-human apes. A mathematical model was designed to quantify this difference. The mathematical model is based on published computed tomography data in the human neuro-ocular plane (NOP) and on additional anatomical data from 100 human skulls and 120 non-human ape skulls (30 gibbons; 30 chimpanzees / bonobos; 30 orangutans; 30 gorillas). It is used to calculate temporal visual field eccentricity values in the NOP first in the primary position of gaze then for any eyeball rotation value in abduction up to 45° and any lateral orbital margin position between 85° and 115° relative to the sagittal plane. By varying the lateral orbital margin position, the human orbit can be made “non-human ape-like”. In the Pan-like orbit, the orbital margin position (98.7°) was closest to the human orbit (107.1°). This modest 8.4° difference resulted in a large 21.1° difference in maximum lateral visual field eccentricity with eyeball abduction (Pan-like: 115°; human: 136.1°).

A mathematical model of self-organized pattern formation on the combs of honeybee colonies

1990 ◽  
Vol 147 (4) ◽  
pp. 553-571 ◽  
Author(s):  
Scott Camazine ◽  
James Sneyd ◽  
Michael J. Jenkins ◽  
J.D. Murray
Keyword(s):  
Mathematical Model ◽  
Pattern Formation ◽  
Self Organized

scholarly journals Circadian rhythm shows potential for mRNA efficiency and self-organized division of labor in multinucleate cells

2021 ◽  
Author(s):  
Leif Zinn-Brooks ◽  
Marcus L. Roper
Keyword(s):  
Mathematical Model ◽  
Circadian Rhythm ◽  
Phase Separation ◽  
Neurospora Crassa ◽  
Division Of Labor ◽  
Filamentous Fungus ◽  
Nuclear Space ◽  
Multinucleate Cells ◽  
Cellular Processes ◽  
Self Organized

AbstractMultinucleate cells occur in every biosphere and across the kingdoms of life, including in the human body as muscle cells and bone-forming cells. Data from filamentous fungi suggest that, even when bathed in a common cytoplasm, nuclei are capable of autonomous behaviors, including division. How does this potential for autonomy affect the organization of cellular processes between nuclei? Here we analyze a simplified model of circadian rhythm, a form of cellular oscillator, in a mathematical model of the filamentous fungus Neurospora crassa. Our results highlight the role played by mRNA-protein phase separation to keep mRNAs close to the nuclei from which they originate, while allowing proteins to diffuse freely between nuclei. Our modeling shows that syncytism allows for extreme mRNA efficiency — we demonstrate assembly of a robust oscillator with transcription levels 104-fold less than in comparable uninucleate cells. We also show self-organized division of the labor of mRNA production, with one nucleus in a two-nucleus syncytium producing at least twice as many mRNAs as the other in 30% of cycles. This division can occur spontaneously, but division of labor can also be controlled by regulating the amount of cytoplasmic volume available to each nucleus. Taken together, our results show the intriguing richness and potential for emergent organization among nuclei in multinucleate cells. They also highlight the role of previously studied mechanisms of cellular organization, including nuclear space control and localization of mRNAs through RNA-protein phase separation, in regulating nuclear coordination.Author summaryCircadian rhythms are among the most researched cellular processes, but limited work has been done on how these rhythms are coordinated between nuclei in multinucleate cells. In this work, we analyze a mathematical model for circadian oscillations in a multinucleate cell, motivated by frequency mRNA and protein data from the filamentous fungus Neurospora crassa. Our results illuminate the importance of mRNA-protein phase separation, in which mRNAs are kept close to the nucleus in which they were transcribed, while proteins can diffuse freely across the cell. We demonstrate that this phase separation allows for a robust oscillator to be assembled with very low mRNA counts. We also investigate how the labor of transcribing mRNAs is divided between nuclei, both when nuclei are evenly spaced across the cell and when they are not. Division of this labor can be regulated by controlling the amount of cytoplasmic volume available to each nucleus. Our results show that there is potential for emergent organization and extreme mRNA efficiency in multinucleate cells.

Periodic Motions and Bifurcations of a Plastic Impact Machine

2007 ◽  
Vol 340-341 ◽  
pp. 307-312
Author(s):  
Guan Wei Luo ◽  
Yan Long Zhang ◽  
Hui Ming Yao
Keyword(s):  
Mathematical Model ◽  
Three Dimensional ◽  
Periodic Motions ◽  
Impact Machine ◽  
Single Impact ◽  
Synchronous Motion ◽  
Pile Driver ◽  
Characteristic Behavior ◽  
Different Types ◽  
Grazing Contact

A mathematical model is developed to describe the characteristic behavior of a small vibro-impact pile driver. Dynamics of the small vibro-impact pile driver is represented by a three-dimensional map. The map is of piecewise property due to synchronous and non-synchronous motion of the driver and pile immediately after the plastic impact, and singularities caused by grazing contact of the driver and pile. The pile driver exhibits two different types of single-impact periodic motions in different regions of the forcing frequency due to the plastic impacts. Transition of two types of single-impact periodic motions is demonstrated, and the influence of the piecewise property, singularities and various parameters on the performance of the pile driver is analyzed.

scholarly journals The resolution of a mathematically bad-defined problem in the approximation of a cellular automation by the example of the description of human states

2021 ◽  
Vol 2056 (1) ◽  
pp. 012062
Author(s):  
E V Kalashnikov ◽  
A A Sheryomukhina ◽  
V D Filatov
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Cellular Automaton ◽  
Finite Differences ◽  
Mutual Influence ◽  
Rate Of Change ◽  
System Of Differential Equations ◽  
Von Neumann ◽  
Sequential Execution ◽  
Cellular Automation

Abstract A mathematical model describing the mutual influence of bad-defined various human characteristics is constructed. This model is described by a system of differential equations that reflect the “rate” of change in a characteristic as a function of the frequency of interaction with other characteristics. The transition from differential equations to equations in finite differences and the introduction of the von Neumann neighborhood on the resulting square space of the frequency of interaction of various human characteristics allows us to introduce a cellular automaton. The sequential execution of iterations in the cellular automaton allows to track how each of the entered characteristics depends on the behavior of other characteristics.

Organization of the Dynamics in a Parameter Plane of a Tumor Growth Mathematical Model

2014 ◽  
Vol 24 (02) ◽  
pp. 1450023 ◽  
Author(s):  
Cristiane Stegemann ◽  
Paulo C. Rech
Keyword(s):  
Mathematical Model ◽  
Tumor Growth ◽  
Cross Section ◽  
Periodic Structures ◽  
Focal Point ◽  
Parameter Plane ◽  
Two Dimensional ◽  
First Order ◽  
Self Organized ◽  
Chaotic Region

We report results of a numerical investigation on a two-dimensional cross-section of the parameter-space of a set of three autonomous, eight-parameter, first-order ordinary differential equations, which models tumor growth. The model considers interaction between tumor cells, healthy tissue cells, and activated immune system cells. By using Lyapunov exponents to characterize the dynamics of the model in a particular parameter plane, we show that it presents typical self-organized periodic structures embedded in a chaotic region, that were before detected in other models. We show that these structures organize themselves in two independent ways: (i) as spirals that coil up toward a focal point while undergoing period-adding bifurcations and, (ii) as a sequence with a well-defined law of formation, constituted by two mixed period-adding bifurcation cascades.

scholarly journals Macular edema risk factors after vitrectomy for rhegmatogenous retinal detachment complicated by proliferative vitreoretinopathy

2021 ◽  
Vol 14 (3) ◽  
pp. 7-16
Author(s):  
Igor V. Khizhnyak ◽  
Ernest V. Boiko ◽  
Yaroslav V Bayborodov
Keyword(s):  
Risk Factors ◽  
Mathematical Model ◽  
Surgical Treatment ◽  
Visual Field ◽  
Retinal Detachment ◽  
Macular Edema ◽  
Postoperative Period ◽  
Proliferative Vitreoretinopathy ◽  
Rhegmatogenous Retinal Detachment ◽  
Significant Information

BACKGROUND: Despite significant advances in the technology of surgical treatment of regmatogenous retinal detachment, a certain proportion of patients with emerging macular edema against the background of silicone oil tamponade remains. AIM: To evaluate the risk factors of macular edema development and to work out a mathematical model for its prediction based on a retrospective analysis of clinical data of patients with rhegmatogenous retinal detachment complicated by proliferative vitreoretinopathy. MATERIALS AND METHODS: A retrospective case series of 64 patients (64 eyes) with regmatogenous retinal detachment complicated by grade CP proliferative vitreoretinopathy who underwent primary retinal detachment repair. Patients were divided into two groups: with the presence of macular edema in the postoperative period and without it (32 patients in each group). In all cases, at the initial examination, retinal detachment involved the macular area. RESULTS: Using regression analysis, two significant factors were identified: the sum of the 8 meridians of the visual field before surgery (p=0.015) and the number of detached quadrants (p=0.021). Based on the identified factors, a model for predicting macular edema occurrence in the postoperative period in the surgical treatment of regmatogenous retinal detachment was obtained. CONCLUSIONS: The investigation results allowed establishing that the retinal detachment area and the sum of the 8 meridians of the visual field are significant pre-operative factors for macular edema development in retinal detachments with proliferative vitreoretinopathy of CP 1-2 degree. The developed mathematical model based on these indicators is characterized by significant information content and allows predicting macular edema occurrence in the postoperative period. The use of the proposed prognostic model determines a differentiated approach to surgical prevention of macular edema and allows making a decision on the removal of internal limiting membrane at the preoperative stage.

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