Topic
Hyperstructure
About: Hyperstructure is a research topic. Over the lifetime, 88 publications have been published within this topic receiving 1851 citations.
Papers published on a yearly basis
Papers
Patent•
26 Nov 1997
TL;DR: In this article, a system and method for computer modeling and for creating hyperstructures which are to be contained in a computer memory, which obtains measurements of physical objects and activities which are related to the entity to be modeled in the computer hyperstructure is presented.
Abstract: A system and method for computer modeling (10) and for creating hyperstructures (51) which are to be contained in a computer memory, which obtains measurements of physical objects and activities which are related to the entity to be modeled in the computer hyperstructure (51). The measurements are transformed into computer data which corresponds to the physical objects and activities external to the computer system (10). A plurality of independent dimensions (54) are created, where each dimension (54) includes at least one element (58). A plurality of cells (56) are created, each of which is associated with the intersection of two or more elements (58), each cell (56) being capable of storing at least one value. At least one rule domain (60) is associated with at least one cell (56), the rule domain (60) including at least one rule for assigning values to the associated cells (56). A domain modeling rule set (126) is prepared (300), which determines which of the rules will provide the value associated with each of the cells (56) wherein application of the domain modeling rule set (126) to the hyperstructure (51) causes a physical transformation of the data corresponding to said physical objects which are modeled in said hyperstructure (51). Also disclosed is a method for querying computer hyperstructures (51), a Hyperstructure Query Language, and a "cell explorer", which allows direct viewing of the applied formulas that produce a specific value for a cell (56).
350 citations
University of Rouen1, University of Amsterdam2, University of California, Davis3, University of Texas at Austin4, Institut national de la recherche agronomique5, University of Extremadura6, National Institutes of Health7, Washington University in St. Louis8, University of Texas Health Science Center at Houston9, Weizmann Institute of Science10, University of California, San Diego11
Abstract: Bacterial cells contain many large, spatially extended assemblies of ions, molecules, and macromolecules, called hyperstructures, that are implicated in functions that range from DNA replication and cell division to chemotaxis and secretion. Interactions between these hyperstructures would create a level of organization intermediate between macromolecules and the cell itself. To explore this level, a taxonomy is needed. Here, we describe classification criteria based on the form of the hyperstructure and on the processes responsible for this form. These processes include those dependent on coupled transcription-translation, protein-protein affinities, chromosome site-binding by protein, and membrane structures. Various combinations of processes determine the formation, maturation, and demise of many hyperstructures that therefore follow a trajectory within the space of classification by form/process. Hence a taxonomy by trajectory may be desirable. Finally, we suggest that working toward a taxonomy based on speculative interactions between hyperstructures promises most insight into life at this level.
65 citations
TL;DR: A new concept is defined, a hyperstructure, which is related to networks and hypernetworks and allows us to represent real problems and is applied to an example.
Abstract: We define a new concept, a hyperstructure, which is related to networks and hypernetworks and allows us to represent real problems. We also define the efficiency of this hyperstructure and we apply it to an example.
41 citations
TL;DR: The beginning of a picture of the bacterial cell in which hyperstructures form to maximize efficiency and in which the properties ofhyperstructures drive the cell cycle is presented.
38 citations
TL;DR: In this paper, the authors present a theoretical background for the use of the ends lemma, another construction often used to create hyperstructures from quasi/partially ordered (semi) groups in a number of contexts including the study of differential equations, matrix theory or applications of preference relations in microeconomics.
Abstract: In canonical books on hyperstructures a number of applications of hyperstructure theory and its relations to various areas of mathematics are included. The relations of hyperstructures and ordered sets have been touched upon by Vougiouklis or Corsini. One aspect of this issue was thoroughly studied by Chvalina and Rosenberg. Cristea, Spartalis and others have been exploring other aspects such as generalization of the relations or constructing special cases. In this paper we present a theoretical background for the use of the ''Ends lemma'' - another construction often used to create hyperstructures from quasi/partially ordered (semi)groups in a number of contexts including the study of differential equations, matrix theory or applications of preference relations in microeconomics.
37 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 2 |
| 2020 | 5 |
| 2019 | 9 |
| 2018 | 3 |
| 2017 | 10 |
| 2016 | 7 |