[Comparative analysis of light sensitivity, depth and motion perception in animals and humans]

Unusual Mathematical Approaches Untangle Nervous Dynamics

The massive amount of available neurodata suggests the existence of a mathematical backbone underlying neuronal oscillatory activities. For example, geometric constraints are powerful enough to define cellular distribution and drive the embryonal development of the central nervous system. We aim to elucidate whether underrated notions from geometry, topology, group theory and category theory can assess neuronal issues and provide experimentally testable hypotheses. The Monge’s theorem might contribute to our visual ability of depth perception and the brain connectome can be tackled in terms of tunnelling nanotubes. The multisynaptic ascending fibers connecting the peripheral receptors to the neocortical areas can be assessed in terms of knot theory/braid groups. Presheaves from category theory permit the tackling of nervous phase spaces in terms of the theory of infinity categories, highlighting an approach based on equivalence rather than equality. Further, the physical concepts of soft-matter polymers and nematic colloids might shed new light on neurulation in mammalian embryos. Hidden, unexpected multidisciplinary relationships can be found when mathematics copes with neural phenomena, leading to novel answers for everlasting neuroscientific questions. For instance, our framework leads to the conjecture that the development of the nervous system might be correlated with the occurrence of local thermal changes in embryo–fetal tissues.

[Contrast sensitivity and visual acuity in animals]

BACKGROUND

Fundamental spatial vision capabilities of visual systems can be characterized by their contrast sensitivity and visual acuity.

OBJECTIVE

Comparison of contrast sensitivity and visual acuity in humans and other animals.

MATERIAL AND METHODS

An analysis of known contrast sensitivity functions and maximum visual acuity across selected taxa was carried out, with consideration of measurement principles, viewing conditions and allometry.

RESULTS

Comparing across all analyzed species, contrast sensitivity functions have inverted U‑shape characteristics, with key differences in both position and absolute sensitivity within the spectrum of spatial frequencies. Humans, for example, have a maximum sensitivity at 5 cycles/degree and mice at approximately 0.1 cycles/degree. Body and eye size generally correlate well with maximum visual acuity. Across eye types, lens eyes have the highest optical and visual resolution, all other things being equal. Diurnal species typically outperform crepuscular or nocturnal species. Humans generally excel at both maximum contrast sensitivity as well as visual acuity.

CONCLUSION

Despite great differences in optical, anatomical and neurophysiological structures between humans and animals, spatial vision capabilities are generally comparable across taxa. This favors the hypothesis that spatial vision in animals develops primarily towards meeting similar evolutionary needs within the limits of biophysical and optical laws.