Local Minimization Paradigm in Numerical Modelling of Foraminiferal Shells

Topa, Paweł; Tyszka, Jarosław

doi:10.1007/3-540-46043-8_9

Cited by 8 publications

(21 citation statements)

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“…This functional minimization of the distance between the last aperture and a new aperture is logical but still very theoretical. This optimising paradigm, built into the model (Topa & Tyszka 2002), was verified based on the large overlap of the resultant theoretical morphospace with the empirical morphologies. In this way we can suppose that at least certain foraminiferal groups use this mechanism, which seems to be functional, as playing a fundamental role in morphogenesis.…”

Section: Discussionmentioning

confidence: 99%

“…The moving reference model of foraminiferal shells has been described separately (Topa & Tyszka 2002;L abaj et al . 2003;.…”

Section: Methodsmentioning

confidence: 99%

“…These parameters correspond to the parameter GF (growth factor), i.e. the chamber expansion ratio sensu Topa & Tyszka (2002) and described for isometric growth of chambers. Chamber scaling rates of real foraminifera usually range from 1.1 to 1.5 and may change during ontogenesis (see Gradstein 1974;Hemleben et al .…”

Section: Parameters Of the Modelmentioning

confidence: 99%

“…A new generation of foraminiferal models based on the moving reference approach was introduced by Topa & Tyszka (2002). The model follows Raup's (1962) and Berger's (1969) idea of geometric transformations, but introduces basic modifications, i.e.…”

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confidence: 99%

“…The moving reference models have been used in early models of plant growth (Lindenmayer 1968) and ammonite shells (Okamoto 1988;Ackerly 1989). So far, previous papers have focused on the description of successive models (Topa & Tyszka 2002;L abaj et al . 2003;.…”

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confidence: 99%

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Morphospace of foraminiferal shells: results from the moving reference model

Tyszka¹

2006

LET

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LETHAIA Tyszka, J. 2006 03 31: Morphospace of foraminiferal shells: results from the moving reference model. Lethaia , Vol. 39, pp. 1 Á/12. Oslo. ISSN 0024-1164.The moving reference model of foraminiferal tests (shells) is based on principal morphogenetic rules revealed from real foraminifera. The model has introduced apertures as moving reference points based on minimization of the distance between them. These modifications greatly enhanced variability of simulated shells closely resembling actual complexity of small polythalamous foraminifers. The resulted theoretical morphospace of all simulated forms is far more extensive than any produced before. The fragments of the multidimensional theoretical morphospace are presented in two forms, i.e. a (classical) box model and a morphotree . The theoretical morphospace of foraminifera reveals regions of the morphospace that include similar forms. These specific fields in the morphospace, called morphophases , are separated from each other by either sharp or gradual morphophase transitions , which involve sharp or gradual changes in morphology controlled by changes of the model parameters. Optimized emplacement of foraminiferal apertures is responsible for these morphophase transitions . The overall morphospace splits into the 'possible range' and the 'forbidden range'. The 'possible range' includes existent and nonexistent foraminiferal forms, which are further separated into 'vacant', 'dysfunctional', and 'deficient' ranges. All the ranges provide additional knowledge on theoretical foraminiferal morphology. The 'vacant range' of possible, although nonexistent, morphologies is limited and that may suggest that the real evolution of foraminifera has discovered most of the morphologic possibilities. It is suggested that the 'forbidden' and 'deficient' ranges present model constraints useful for understanding morphogenesis, which may be tested by further modifications of the model. The analysed theoretical morphospace verifies the moving reference model, indicating the fundamental role of apertures in the morphogenesis of foraminifera.Theoretical morphology covers two different conceptual areas focused on the morphology of organisms, including: (1) the simulation of organic morphogenesis, and (2) the analysis of the possible spectrum of organic form via hypothetical morphospace construction (McGhee 1999). Both areas are essential for understanding the broad spectrum of fossil and living organisms. The first area models the actual process of biological morphogenesis itself. The second area explores the possible range of morphologic variability produced by constructing n -dimensional geometric spaces called 'theoretical morphospaces', which are created by systematically varying parameter values of a modelled form (McGhee 1999). In contrast to theoretical morphospaces, we can also construct 'empirical morphospaces' (sensu McGhee 1999) based on real measurements of morphologies and applying different ordination techniques. Nevertheless, analyses of 'empirical morphospaces' ...

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Section: Discussionmentioning

confidence: 99%

“…The moving reference model of foraminiferal shells has been described separately (Topa & Tyszka 2002;L abaj et al . 2003;.…”

Section: Methodsmentioning

confidence: 99%

Section: Parameters Of the Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

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Morphospace of foraminiferal shells: results from the moving reference model

Tyszka¹

2006

LET

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Validation of signal propagation modeling for highly scalable simulations

Paciorek

Bujas

Dworak

et al. 2020

Concurrency and Computation

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Summary Efficient information flow in the complex, often microscale simulation systems such as the social, artificial life, or traffic ones poses a significant challenge. It is difficult to implement a highly scalable system due to algorithmic problems, which significantly hamper the efficiency, especially in the case of maintaining a synchronized state in a parallelized, distributed environment. Our previous work presented a desynchronized method of information distribution in a simulation environment, inspired by the propagation of smell, and proved this method to be highly scalable. In this paper, we enhance and validate this method to ensure it does not invalidate the conclusions drawn from the simulation, enabling the development of efficient, scalable simulation systems. The prototype of the method presented here leverages the actor model for parallelization and cluster sharding mechanisms for cluster management, providing a comprehensive solution for large‐scale simulations, following realistic rules known from the nature. In order to validate the method of signal propagation modeling, three simulation models are created and tested. The validation is based on statistical analysis of metrics collected during the simulation execution. Statistical similarity of the results obtained from the distributed and nondistributed executions indicates that the distribution process does not impact the correctness of the simulation.

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2D and 3D Numerical Models of the Growth of Foraminiferal Shells

Łabaj

Topa

Tyszka

et al. 2003

Lecture Notes in Computer Science

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This paper focuses on modelling and visualisation of mineral shells of foraminifera (unicellular aquatic, mainly marine, organisms). Our recent model follows the moving reference approach of theoretical modelling of foraminiferal shells. This model introduces three important aspects of simulations, i.e. non-circular chamber shapes (in 2D), allometry of chambers and three dimensional simulation space. The resulted "theoretical shells" closely mimics morphology and variability of recent and fossil foraminifera. The model is presented as an applet at http://www.icsr.agh.edu.pl/foraminifera.

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Local Minimization Paradigm in Numerical Modelling of Foraminiferal Shells

Cited by 8 publications

References 8 publications

Morphospace of foraminiferal shells: results from the moving reference model

Morphospace of foraminiferal shells: results from the moving reference model

Validation of signal propagation modeling for highly scalable simulations

2D and 3D Numerical Models of the Growth of Foraminiferal Shells

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