Pub Date : 2015-02-19DOI: 10.1142/S021820251540014X
P. Degond, L. Navoret
We present an individual-based model describing disk-like self-propelled particles moving inside parallel planes. The disk directions of motion follow alignment rules inside each layer. Additionally, the disks are subject to interactions with those of the neighboring layers arising from volume exclusion constraints. These interactions affect the disk inclinations with respect to the plane of motion. We formally de-rive a macroscopic model composed of planar Self-Organized Hydrodynamic (SOH) models describing the transport of mass and evolution of mean direction of motion of the disks in each plane, supplemented with transport equations for the mean disk inclination. These planar models are coupled due to the interactions with the neighboring planes. Numerical comparisons between the individual-based and macroscopic models are carried out. These models could be applicable, for instance, to describe sperm-cell collective dynamics.
{"title":"A multi-layer model for self-propelled disks interacting through alignment and volume exclusion","authors":"P. Degond, L. Navoret","doi":"10.1142/S021820251540014X","DOIUrl":"https://doi.org/10.1142/S021820251540014X","url":null,"abstract":"We present an individual-based model describing disk-like self-propelled particles moving inside parallel planes. The disk directions of motion follow alignment rules inside each layer. Additionally, the disks are subject to interactions with those of the neighboring layers arising from volume exclusion constraints. These interactions affect the disk inclinations with respect to the plane of motion. We formally de-rive a macroscopic model composed of planar Self-Organized Hydrodynamic (SOH) models describing the transport of mass and evolution of mean direction of motion of the disks in each plane, supplemented with transport equations for the mean disk inclination. These planar models are coupled due to the interactions with the neighboring planes. Numerical comparisons between the individual-based and macroscopic models are carried out. These models could be applicable, for instance, to describe sperm-cell collective dynamics.","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128730754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-11-11DOI: 10.1007/978-3-319-17037-4_4
Jake P. Stroud, Mauricio Barahona, T. Pereira
{"title":"Dynamics of Cluster Synchronisation in Modular Networks: Implications for Structural and Functional Networks","authors":"Jake P. Stroud, Mauricio Barahona, T. Pereira","doi":"10.1007/978-3-319-17037-4_4","DOIUrl":"https://doi.org/10.1007/978-3-319-17037-4_4","url":null,"abstract":"","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121636666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Aim. To study the dynamics of auto-oscillations arising at the level of enzyme-substrate interaction in a cell and to find the conditions for the self-organization and the formation of chaos in the metabolic process. Methods. A mathematical model of the metabolic process of steroids transformation in Arthrobacter globiformis. The mathematical apparatus of nonlinear dynamics. Results. The bifurcations resulting in the appearance of strange attractors in the metabolic process are determined. The projections of the phase portraits of attractors are constructed for some chosen modes. The total spectra of Lyapunov's indices are calculated. The structural stability of the attractors obtained is studied. By the general scenario of formation of regular and strange attractors, the structural-functional connections in the metabolic process in the cell are found. Their physical nature is investigated. Conclusions. The presented model explains the mechanism of formation of auto-oscillations observed in the A. globiformis cells and demonstrates a possibility of the mathematical modeling of metabolic processes for the physical explanation of the self-organization of a cell and its vital activity.
{"title":"Self-organization and chaos in the metabolism of a cell","authors":"V. Grytsay, I. V. Musatenko","doi":"10.7124/bc.0008B9","DOIUrl":"https://doi.org/10.7124/bc.0008B9","url":null,"abstract":"Aim. To study the dynamics of auto-oscillations arising at the level of enzyme-substrate interaction in a cell and to find the conditions for the self-organization and the formation of chaos in the metabolic process. Methods. A mathematical model of the metabolic process of steroids transformation in Arthrobacter globiformis. The mathematical apparatus of nonlinear dynamics. Results. The bifurcations resulting in the appearance of strange attractors in the metabolic process are determined. The projections of the phase portraits of attractors are constructed for some chosen modes. The total spectra of Lyapunov's indices are calculated. The structural stability of the attractors obtained is studied. By the general scenario of formation of regular and strange attractors, the structural-functional connections in the metabolic process in the cell are found. Their physical nature is investigated. Conclusions. The presented model explains the mechanism of formation of auto-oscillations observed in the A. globiformis cells and demonstrates a possibility of the mathematical modeling of metabolic processes for the physical explanation of the self-organization of a cell and its vital activity.","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115883182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-07-28DOI: 10.1007/978-3-319-12328-8_1
Y. Pomeau, R. López-Ruiz
{"title":"Study of A Model for the Distribution of Wealth","authors":"Y. Pomeau, R. López-Ruiz","doi":"10.1007/978-3-319-12328-8_1","DOIUrl":"https://doi.org/10.1007/978-3-319-12328-8_1","url":null,"abstract":"","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131777813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-06-04DOI: 10.1142/9789814590297_0022
Torsten Gross, D. Hennig, L. Schimansky-Geier
An enhancement of localized nonlinear modes in coupled systems gives rise to a novel type of escape process. We study a spatially one dimensional set-up consisting of a linearly coupled oscillator chain of $N$ mass-points situated in a metastable nonlinear potential. The Hamilton-dynamics exhibits breather solutions as a result of modulational instability of the phonon states. These breathers localize energy by freezing other parts of the chain. Eventually this localised part of the chain grows in amplitude until it overcomes the critical elongation characterized by the transition state. Doing so, the breathers ignite an escape by pulling the remaining chain over the barrier. Even if the formation of singular breathers is insufficient for an escape, coalescence of moving breathers can result in the required concentration of energy. Compared to a chain system with linear damping and thermal fluctuations the breathers help the chain to overcome the barriers faster in the case of low damping. With larger damping, the decreasing life time of the breathers effectively inhibits the escape process.
{"title":"Self-organized escape processes of linear chains in nonlinear potentials","authors":"Torsten Gross, D. Hennig, L. Schimansky-Geier","doi":"10.1142/9789814590297_0022","DOIUrl":"https://doi.org/10.1142/9789814590297_0022","url":null,"abstract":"An enhancement of localized nonlinear modes in coupled systems gives rise to a novel type of escape process. We study a spatially one dimensional set-up consisting of a linearly coupled oscillator chain of $N$ mass-points situated in a metastable nonlinear potential. The Hamilton-dynamics exhibits breather solutions as a result of modulational instability of the phonon states. These breathers localize energy by freezing other parts of the chain. Eventually this localised part of the chain grows in amplitude until it overcomes the critical elongation characterized by the transition state. Doing so, the breathers ignite an escape by pulling the remaining chain over the barrier. Even if the formation of singular breathers is insufficient for an escape, coalescence of moving breathers can result in the required concentration of energy. Compared to a chain system with linear damping and thermal fluctuations the breathers help the chain to overcome the barriers faster in the case of low damping. With larger damping, the decreasing life time of the breathers effectively inhibits the escape process.","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124372639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Introduced path connects the topics in common concept: integral information measure and symmetry. Initial path' sequence axiomatic probability distributions of stochastic multidimensional process transfers each priory to posteriori probabilities alternating probabilities over process trajectory. Emerging Bayesian probabilities entropy defines process uncertainty measure. Probability transitions model interactive random process generated by idealized virtual measurements of uncertainty as observable process of potential observer. When the measurements test uncertainty by interactive impulses its inferring certain posteriori probability starts converting uncertainty to certainty information. Observable uncertain impulse becomes certain control extracting maximum information from each observed minima and initiating information observer with internal process during conversion. Multiple trial actions produce observed frequency of the events measured probability actually occurred. Dual minimax principle of maxmim extraction and minimax consumption information is mathematical law whose variation equations determine observer structure and functionally unify regularities. Impulse controls cutoff the minimax, convert external process to internal information micro and macrodynamics through integral measuring, multiple trials, verification symmetry, cooperation, enfoldment in logical hierarchical information network IN and feedback path to observations; IN high level logic originates observer intelligence requesting new quality information. Functional regularities create integral logic selfoperating observations, inner dynamical and geometrical structures with boundary shaped by IN information geometry in timespace cooperative processes, and physical substances, observer cognition,intelligence. Logic holds invariance information and physical regularities of minimax law.
{"title":"Information Path from Randomness and Uncertainty to Information, Thermodynamics, and Intelligence of Observer","authors":"Vladimir S. Lerner","doi":"10.5121/IJIT.2014.3404","DOIUrl":"https://doi.org/10.5121/IJIT.2014.3404","url":null,"abstract":"Introduced path connects the topics in common concept: integral information measure and symmetry. Initial path' sequence axiomatic probability distributions of stochastic multidimensional process transfers each priory to posteriori probabilities alternating probabilities over process trajectory. Emerging Bayesian probabilities entropy defines process uncertainty measure. Probability transitions model interactive random process generated by idealized virtual measurements of uncertainty as observable process of potential observer. When the measurements test uncertainty by interactive impulses its inferring certain posteriori probability starts converting uncertainty to certainty information. Observable uncertain impulse becomes certain control extracting maximum information from each observed minima and initiating information observer with internal process during conversion. Multiple trial actions produce observed frequency of the events measured probability actually occurred. Dual minimax principle of maxmim extraction and minimax consumption information is mathematical law whose variation equations determine observer structure and functionally unify regularities. Impulse controls cutoff the minimax, convert external process to internal information micro and macrodynamics through integral measuring, multiple trials, verification symmetry, cooperation, enfoldment in logical hierarchical information network IN and feedback path to observations; IN high level logic originates observer intelligence requesting new quality information. Functional regularities create integral logic selfoperating observations, inner dynamical and geometrical structures with boundary shaped by IN information geometry in timespace cooperative processes, and physical substances, observer cognition,intelligence. Logic holds invariance information and physical regularities of minimax law.","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"112 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121590349","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper is devoted to the problem of disaster mitigation. It develops an emergent mechanism of resource redistribution aimed at recovering of a socio-technological system affected by a large scale disaster. The basic requirements to the short-term recovery are taken into account in constructing this mechanism. The system at hand consists of many individual units (cities) and the mechanism is based on their cooperative interaction, which makes the resource redistribution efficient regardless of the particular position of affected region. Previously we studied the dynamics of supply process governed by this mechanism when all the information about the system is available and actual from the beginning of the process (V. Lubashevskiy, T. Kanno, K. Furuta, arXiv:1310.0648). In the present paper we analyze the effects of lack of information on the resource delivery rate. Two scenarios of the lack of information are allowed for. The first one is the delay of the information about the city states. The second one is its incompleteness. As a result of simulation, it is demonstrated that the duration of the resource redistribution governed by the developed mechanism is weakly affected by the lack of information.
这篇论文专门讨论减轻灾害的问题。它发展了一种新兴的资源再分配机制，旨在恢复受大规模灾难影响的社会技术系统。在构建这一机制时，考虑到短期复苏的基本要求。手头的系统由许多个体单位(城市)组成，其机制基于它们之间的合作互动，这使得资源再分配无论受影响区域的特定位置如何都是高效的。在此之前，我们研究了当系统的所有信息从一开始就可用且实际时，由该机制控制的供应过程动力学(V. Lubashevskiy, T. Kanno, K. Furuta, arXiv:1310.0648)。本文分析了信息缺失对资源交付率的影响。允许两种缺乏信息的情况。第一个是城邦信息的延迟。第二是它的不完整性。仿真结果表明，信息缺失对资源再分配持续时间的影响较小。
{"title":"Resource Redistribution under Lack of Information: Short-Term Recovery after Large Scale Disasters","authors":"V. Lubashevskiy, T. Kanno, K. Furuta","doi":"10.15748/JASSE.3.1","DOIUrl":"https://doi.org/10.15748/JASSE.3.1","url":null,"abstract":"The paper is devoted to the problem of disaster mitigation. It develops an emergent mechanism of resource redistribution aimed at recovering of a socio-technological system affected by a large scale disaster. The basic requirements to the short-term recovery are taken into account in constructing this mechanism. The system at hand consists of many individual units (cities) and the mechanism is based on their cooperative interaction, which makes the resource redistribution efficient regardless of the particular position of affected region. Previously we studied the dynamics of supply process governed by this mechanism when all the information about the system is available and actual from the beginning of the process (V. Lubashevskiy, T. Kanno, K. Furuta, arXiv:1310.0648). In the present paper we analyze the effects of lack of information on the resource delivery rate. Two scenarios of the lack of information are allowed for. The first one is the delay of the information about the city states. The second one is its incompleteness. As a result of simulation, it is demonstrated that the duration of the resource redistribution governed by the developed mechanism is weakly affected by the lack of information.","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"413 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133088085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-12-12DOI: 10.1007/978-3-319-08138-0_13
S. Pueyo
{"title":"Idiosyncrasy as an Explanation for Power Laws in Nature","authors":"S. Pueyo","doi":"10.1007/978-3-319-08138-0_13","DOIUrl":"https://doi.org/10.1007/978-3-319-08138-0_13","url":null,"abstract":"","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132414075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A general dynamical process model of psychiatric disorders is proposed that specifies the basic cognitive processes involved in the transition from beliefs about self, others and world that are normal and adaptive, to beliefs that are rigid, extreme, and maladaptive. The relevant thought trajectories are self-confirming, and are considered to underlie the corresponding trajectories in symptoms. In contrast with previous work, the model focuses on underlying mechanisms, and it provides an evolutionary basis for the widespread susceptibility to psychiatric symptoms and disorders without the problematic claim that such disorders were selected by evolutionary forces. The model thereby incorporates both normality and abnormality in the same framework.
{"title":"Applying Complexity Theory to a Dynamical Process Model of the Development of Pathological Belief Systems","authors":"B. O'Connor, L. Gabora","doi":"10.14288/1.0364152","DOIUrl":"https://doi.org/10.14288/1.0364152","url":null,"abstract":"A general dynamical process model of psychiatric disorders is proposed that specifies the basic cognitive processes involved in the transition from beliefs about self, others and world that are normal and adaptive, to beliefs that are rigid, extreme, and maladaptive. The relevant thought trajectories are self-confirming, and are considered to underlie the corresponding trajectories in symptoms. In contrast with previous work, the model focuses on underlying mechanisms, and it provides an evolutionary basis for the widespread susceptibility to psychiatric symptoms and disorders without the problematic claim that such disorders were selected by evolutionary forces. The model thereby incorporates both normality and abnormality in the same framework.","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131182250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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