Fractals in the Neurosciences: A Translational Geographical Approach

Overview

Journal Adv Neurobiol

Publisher Springer

Date 2024 Mar 12

PMID 38468071

Authors

Ion Andronache

Daniel Peptenatu

Helmut Ahammer

Marko Radulovic

Goran J Djuricic

Herbert F Jelinek

Carlo Russo

Antonio Di Ieva

Affiliations

Soon will be listed here.

Abstract

The chapter presents three new fractal indices (fractal fragmentation index, fractal tentacularity index, and fractal anisotropy index) and normalized Kolmogorov complexity with proven applicability in geographic research, developed by the authors, and the possibility of their future use in neuroscience. The research demonstrates the relevance of fractal analysis in different fields and the basic concepts and principles of fractal geometry being sufficient for the development of models relevant to the studied reality. Also, the research highlighted the need to continue interdisciplinary research based on known fractal indicators, as well as the development of new analysis methods with the translational potential between fields.

References

Amthor F, TAKAHASHI E, OYSTER C . Morphologies of rabbit retinal ganglion cells with complex receptive fields. J Comp Neurol. 1989; 280(1):97-121. DOI: 10.1002/cne.902800108. View

BOYCOTT B, Wassle H . The morphological types of ganglion cells of the domestic cat's retina. J Physiol. 1974; 240(2):397-419. PMC: 1331022. DOI: 10.1113/jphysiol.1974.sp010616. View

Brown J . Dendritic fields of retinal ganglion cells of the rat. J Neurophysiol. 1965; 28(6):1091-100. DOI: 10.1152/jn.1965.28.6.1091. View

Brown J, Gupta V, Li B, Milne B, Restrepo C, West G . The fractal nature of nature: power laws, ecological complexity and biodiversity. Philos Trans R Soc Lond B Biol Sci. 2002; 357(1421):619-26. PMC: 1692973. DOI: 10.1098/rstb.2001.0993. View

Cleland B, LEVICK W, Wassle H . Physiological identification of a morphological class of cat retinal ganglion cells. J Physiol. 1975; 248(1):151-71. PMC: 1309512. DOI: 10.1113/jphysiol.1975.sp010967. View

Collin S, Hoskins R, Partridge J . Tubular eyes of deep-sea fishes: a comparative study of retinal topography. Brain Behav Evol. 1997; 50(6):335-57. DOI: 10.1159/000113345. View

COOK J, Sharma S . Large retinal ganglion cells in the channel catfish (Ictalurus punctatus): three types with distinct dendritic stratification patterns form similar but independent mosaics. J Comp Neurol. 1995; 362(3):331-49. DOI: 10.1002/cne.903620304. View

Cowey A, Stoerig P, Bannister M . Retinal ganglion cells labelled from the pulvinar nucleus in macaque monkeys. Neuroscience. 1994; 61(3):691-705. DOI: 10.1016/0306-4522(94)90445-6. View

Dann J, Buhl E . Morphology of retinal ganglion cells in the flying fox (Pteropus scapulatus): a lucifer yellow investigation. J Comp Neurol. 1990; 301(3):401-16. DOI: 10.1002/cne.903010306. View

10.

Dawson W, Perez J . Unusual retinal cells in the dolphin eye. Science. 1973; 181(4101):747-9. DOI: 10.1126/science.181.4101.747. View

11.

Ieva A, Grizzi F, Ceva-Grimaldi G, Russo C, Gaetani P, Aimar E . Fractal dimension as a quantitator of the microvasculature of normal and adenomatous pituitary tissue. J Anat. 2007; 211(5):673-80. PMC: 2375776. DOI: 10.1111/j.1469-7580.2007.00804.x. View

12.

Doi M, Uji Y, Yamamura H . Morphological classification of retinal ganglion cells in mice. J Comp Neurol. 1995; 356(3):368-86. DOI: 10.1002/cne.903560305. View

13.

Dunlop S, Ross W, Beazley L . The retinal ganglion cell layer and optic nerve in a marsupial, the honey possum (Tarsipes rostratus). Brain Behav Evol. 1994; 44(6):307-23. DOI: 10.1159/000113592. View

14.

Famiglietti E . New metrics for analysis of dendritic branching patterns demonstrating similarities and differences in ON and ON-OFF directionally selective retinal ganglion cells. J Comp Neurol. 1992; 324(3):295-321. DOI: 10.1002/cne.903240302. View

15.

Fukuda Y . A three-group classification of rat retinal ganglion cells: histological and physiological studies. Brain Res. 1977; 119(2):327-34. DOI: 10.1016/0006-8993(77)90314-6. View

16.

Ghosh K, Goodchild A, Sefton A, Martin P . Morphology of retinal ganglion cells in a new world monkey, the marmoset Callithrix jacchus. J Comp Neurol. 1996; 366(1):76-92. DOI: 10.1002/(SICI)1096-9861(19960226)366:1<76::AID-CNE6>3.0.CO;2-H. View

17.

Gill J, Gorlick R . Advancing therapy for osteosarcoma. Nat Rev Clin Oncol. 2021; 18(10):609-624. DOI: 10.1038/s41571-021-00519-8. View

18.

Glenny R, Robertson H, Yamashiro S, Bassingthwaighte J . Applications of fractal analysis to physiology. J Appl Physiol (1985). 1991; 70(6):2351-67. PMC: 4063444. DOI: 10.1152/jappl.1991.70.6.2351. View

19.

Guiloff G, Kolb H . Ganglion cell types of the turtle retina that project to the optic tectum: Intracellular HRP injections of retrogradely, rhodamine-marked cell bodies. Vis Neurosci. 1992; 8(4):295-313. DOI: 10.1017/s0952523800005046. View

20.

Harrison D, Geller D, Gill J, Lewis V, Gorlick R . Current and future therapeutic approaches for osteosarcoma. Expert Rev Anticancer Ther. 2017; 18(1):39-50. DOI: 10.1080/14737140.2018.1413939. View