On Growth and Form

Thompson, D’Arcy Wentworth

doi:10.1017/cbo9781107589070

Cited by 175 publications

(196 citation statements)

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“…In either case, the pixel model predicts that the distortion induced should reflect a geometrically simple stretch of tactile space. A century ago, D'Arcy Thompson (1917) argued that many differences in biological form, whether between species or as a function of developmental change, could be characterized by geometrically simple transformations.…”

Section: Distortions Of Tactile Distance Perceptionmentioning

confidence: 99%

Mapping the internal geometry of tactile space.

Longo¹,

Голубова²

2017

Journal of Experimental Psychology: Human Perception and Perfor

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A large body of research has shown spatial distortions in the perception of tactile distances on the skin. For example, perceived tactile distance is increased on sensitive compared to less sensitive skin regions, and larger for stimuli oriented along the medio-lateral axis than the proximo-distal axis of the limbs. In this study we aimed to investigate the spatial coherence of these distortions by reconstructing the internal geometry of tactile space using multidimensional scaling (MDS). Participants made verbal estimates of the perceived distance between 2 touches applied sequentially to locations on their left hand. In Experiment 1 we constructed perceptual maps of the dorsum of the left hand, which showed a good fit to the actual configuration of stimulus locations. Critically, these maps also showed clear evidence of spatial distortion, being stretched along the medio-lateral hand axis. Experiment 2 replicated this result and showed that no such distortion is apparent on the palmar surface of the hand. These results show that distortions in perceived tactile distance can be characterized by geometrically simple and coherent deformations of tactile space. We suggest that the internal geometry of tactile space is shaped by the geometry of receptive fields in somatosensory cortex.

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Section: Distortions Of Tactile Distance Perceptionmentioning

confidence: 99%

Mapping the internal geometry of tactile space.

Longo¹,

Голубова²

2017

Journal of Experimental Psychology: Human Perception and Perfor

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“…Charles Darwin famously described a correlation between beak shape and diet in Galapagos island finches as support for his theory of natural selection, hypothesizing that variations in beak shape lead to speciation where the abundance of di↵erent food sources varies geographically [26]. D'Arcy Thompson's 1917 book, On Growth and Form [104], did much to encourage the study of how the shape of biological correlates with function, and F. O. Bower made a similar contribution for the field of botany in his 1930 book Size and Form in Plants [14]. Both authors helped to advance the notion that perhaps nature could be studied in a more quantitative way, instead of just by the empirical methods that were the norm at the time.…”

Section: A Brief History Of Morphometricsmentioning

confidence: 99%

Shape Modeling and Analysis with Entropy-Based Particle Systems

Cates

Fletcher

Styner

et al. 2007

Lecture Notes in Computer Science

139

224

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Many important fields of basic research in medicine and biology routinely employ tools for the statistical analysis of collections of similar shapes. Biologists, for example, have long relied on homologous, anatomical landmarks as shape models to characterize the growth and development of species. Increasingly, however, researchers are exploring the use of more detailed models that are derived computationally from three-dimensional images and surface descriptions. While computationally-derived models of shape are promising new tools for biomedical research, they also present some significant engineering challenges, which existing modeling methods have only begun to address.In this dissertation, I propose a new computational framework for statistical shape modeling that significantly advances the state-of-the-art by overcoming many of the limitations of existing methods. The framework uses a particle-system representation of shape, with a fast correspondence-point optimization based on information content. The optimization balances the simplicity of the model (compactness) with the accuracy of the shape representations by using two commensurate entropy metrics and no free parameters. The idea is to maximize both the geometric accuracy and the statistical simplicity of the shape model, in accordance with the principle of parsimony in model selection. The nonparametric representation allows the method to be applied to a larger class of problems than existing methods, including nonspherical surfaces, open surfaces, and sets of multiple surfaces.The relative simplicity of the surface representation and the low number of free parameters results in a framework that is easy to use and can operate directly on image segmentations. In collaboration with scientists from several important areas of biomedicine, I have demonstrated that the proposed method is indeed an e↵ective tool for scientific research.The specific research contributions of this dissertation are as follows. First, I describe a mathematical framework and a robust numerical algorithm for computing optimized correspondence-point shape models using an entropy-based optimization and particle-system technology. Second, I develop a series of extensions of the framework to more general classes of shape analysis problems, including the analysis of multiple-object complexes, the generalization to correspondence based on generic functions of position, an extension to handle surfaces with open boundaries, and shape modeling with simple regression. Third, I describe the application of statistical hypothesis testing, regression analysis, and multiple-analysis of covariance to the proposed shape models. I also introduce new techniques for visualization and interpretation of these statistics. Finally, in cooperation with biomedical researchers, I present validation of the above research contributions by their successful application to real-world research problems.

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“…Human perception of symmetric objects and structures has subjective and holistic characteristics. Symmetry can be associated with harmony, pleasure, stability (Blundell and Srinivasan, 1996;Goodsell and Olson, 2000;Kojić-Prodić and Štefanić, 2010;Thompson, 1952). In contrast, symmetry violation and asymmetry might seem disharmonic, transient and instable.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric perturbations of signalling oligomers

Maksay

Tőke

2014

Progress in Biophysics and Molecular Biology

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This review focuses on rapid and reversible noncovalent interactions for symmetric oligomers of tetramers (voltage-gated cation channels, ionotropic glutamate receptor, CNG and CHN channels); pentameric ligand-gated and mechanosensitive channels; higher order oligomers (gap junction channel, chaperonins, proteasome, virus capsid); as well as primary and secondary transporters. In conclusion, asymmetric perturbations seem to play important functional roles in a broad range of communicating networks.

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On Growth and Form

Cited by 175 publications

References 0 publications

Mapping the internal geometry of tactile space.

Mapping the internal geometry of tactile space.

Shape Modeling and Analysis with Entropy-Based Particle Systems

Asymmetric perturbations of signalling oligomers

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