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Inferring biomolecular regulatory networks from phase portraits of time-series expression profiles
Cho, Kwang-Hyun,Kim, Jeong-Rae,Baek, Songjoon,Choi, Hyung-Seok,Choo, Sang-Mok Elsevier 2006 FEBS letters Vol.580 No.14
<P><B>Abstract</B></P><P>Reverse engineering of biomolecular regulatory networks such as gene regulatory networks, protein interaction networks, and metabolic networks has received an increasing attention as more high-throughput time-series measurements become available. In spite of various approaches developed from this motivation, it still remains as a challenging subject to develop a new reverse engineering scheme that can effectively uncover the functional interaction structure of a biomolecular network from given time-series expression profiles (TSEPs). We propose a new reverse engineering scheme that makes use of phase portraits constructed by projection of every two TSEPs into respective phase planes. We introduce two measures of a slope index (SI) and a winding index (WI) to quantify the interaction properties embedded in the phase portrait. Based on the SI and WI, we can reconstruct the functional interaction network in a very efficient and systematic way with better inference results compared to previous approaches. By using the SI, we can also estimate the time-lag accompanied with the interaction between molecular components of a network.</P>
Chaotic Behavior in a Dynamic Love Model with Different External Forces
배영철 한국지능시스템학회 2015 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.15 No.4
In this paper, we propose a dynamic mathematical model of love involving various external forces, in order to analyze the chaotic phenomena in a love model based on Romeo and Juliet. In addition, we investigate the nonlinear phenomena in a love model with external forces using time series and phase portraits. In order to describe nonlinear phenomena precisely using time series and phase portraits, we vary the type of external force, using models such as a sine wave, chopping wave, and square wave. We also apply various different parameters in the Romeo and Juliet model to acquire chaotic dynamics.
Chaotic Behavior in a Dynamic Love Model with Different External Forces
Bae, Youngchul Korean Institute of Intelligent Systems 2015 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.15 No.4
In this paper, we propose a dynamic mathematical model of love involving various external forces, in order to analyze the chaotic phenomena in a love model based on Romeo and Juliet. In addition, we investigate the nonlinear phenomena in a love model with external forces using time series and phase portraits. In order to describe nonlinear phenomena precisely using time series and phase portraits, we vary the type of external force, using models such as a sine wave, chopping wave, and square wave. We also apply various different parameters in the Romeo and Juliet model to acquire chaotic dynamics.
Chaotic Behavior in a Dynamic Love Model with Different External Forces
Youngchul Bae 한국지능시스템학회 2015 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.15 No.4
In this paper, we propose a dynamic mathematical model of love involving various external forces, in order to analyze the chaotic phenomena in a love model based on Romeo and Juliet. In addition, we investigate the nonlinear phenomena in a love model with external forces using time series and phase portraits. In order to describe nonlinear phenomena precisely using time series and phase portraits, we vary the type of external force, using models such as a sine wave, chopping wave, and square wave. We also apply various different parameters in the Romeo and Juliet model to acquire chaotic dynamics.
Linyun Huang,Youngchul Bae 한국지능시스템학회 2017 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.17 No.1
This paper propose a dynamic mathematical model of love with the Fourier series function as an external force. We also investigate the periodic doubling including 1, 2, 4 periodic motion, chaotic attractor and limit cycle in the love models based on Romeo and Juliet with the Fourier series function as an external force, using time series and phase portraits. To show the nonlinear phenomena using time series and phase portraits, we vary the parameter value with the Fourier series function as an external force.
황림운,배영철 한국지능시스템학회 2017 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.17 No.1
This paper propose a dynamic mathematical model of love with the Fourier series function as an external force. We also investigate the periodic doubling including 1, 2, 4 periodic motion, chaotic attractor and limit cycle in the love models based on Romeo and Juliet with the Fourier series function as an external force, using time series and phase portraits. To show the nonlinear phenomena using time series and phase portraits, we vary the parameter value with the Fourier series function as an external force.
김순환(Soon-Whan Kim),손영우(Young-Woo Shon),배영철(Young-Chul Bae) 한국전자통신학회 2014 한국전자통신학회 논문지 Vol.9 No.11
사람의 감정 중의 하나인 사랑은 사회학과 심리학에서 주된 관심사로 연구되어 왔다. 본 논문에서는 로미오와 줄리엣의 사랑 방정식[ ]에서 이들의 거동을 시계열과 위상 공간으로 나타내고, 이들 사이에 외부적인 자극인 3자가 개입했을 때의 관계를 시계열과 위상 공간으로 나타내어 이들 사이의 거동 관계를 분석한다. Love which is one of the emotional of mankind, has been studied in sociology and psychology as a matter of grate concern. In this paper We represent romantic behaviors in the love equation of Romeo and Juliet as time series and phase portraits. Also we analyze the behavior’s relation by using time series and phase portraits when external force applied as the third person between Romeo and Juliet
Dynamic analysis of cross shaft type universal joint with clearance
Jian-Wei Lu,Gong-Cheng Wang,Hao Chen,Alexander F. Vakakis,Lawrence A. Bergman 대한기계학회 2013 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.27 No.11
Cross shaft type universal joint is widely used in ground vehicles to transfer torque between two intersecting axes, and its transmission feature can make a great contribution to NVH performance of the vehicle. We looked at the assembling clearance at cross shaft neck, and presented a dynamic model of cross shaft type universal joint with clearance at cross shaft neck. Two-state model is applied to describe the contact force between the cross shaft and driving joint fork based on Hertz theorem, and lumped mass method is applied to build up the dynamic model of the universal joint. Based on this model, numerical analysis is carried out to discuss the transmission feature of the universal joint with clearance at cross shaft neck, and the influence of clearance on the dynamic behavior of the system is evaluated with numerical results based on time history, power spectrum, and phase portrait. The method and conclusions presented are helpful to improvement of the transmission feature of cross shaft type universal joint.
Chaotic Behavior in Model with a Gaussian Function as External Force
Huang, Linyun,Hwang, Suk-Seung,Bae, Youngchul Korean Institute of Intelligent Systems 2016 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.16 No.4
In this paper, we propose a novel dynamical love model of Romeo and Juliet, which has an external force with a fuzzy membership function. The external force used in the model has the characteristics of a Gaussian function. The chaotic behavior in the model is demonstrated using time series and phase portraits.
배영철 조선대학교 IT연구소 2018 정보기술융합공학논문지 Vol.8 No.1
Family is the basic unit of composing society. Recently, the discussion for organization and dismantle of family is actively processing. Family is artificially organized through marriage and the new family lives with conflict and harmony repeatedly. There searcher for family mainly have been studied in the social science side and there is no effort to represent mathematical modeling. This paper proposes mathematical family model, and it also confirms the existence of chaotic behaviors through time series and phase portrait. 가족은 사회를 이루는 기본 단위이다. 최근 가족의 구성과 해체에 대한 논의가 활발하게 진행되고 있다. 가족은 결혼을 통하여 인위적으로 구성되며 새로운 가족은 갈등과 화목을 반복하면서 살아간다. 가족에 대한 연구는 사회과학에서 주로 이루어졌으며 이를 수학적으로 표현하고자 하는 노력은 없었다. 본 논문에서는 수학적으로 가족모델을 제시하고 이 모델에서 카오스 거동 현상이 있음을 시계열과 위상공간을 통하여 확인한다.