Titlebook: Mathematical Tools for Neuroscience; A Geometric Approach Richard A. Clement Book 2022 The Editor(s) (if applicable) and The Author(s), und

刀锋

Mind and Brain,s, primarily because these capture the behaviour of biologically relevant objects. This approach immediately raises the question of what are the distinctive brain mechanisms that enable them to be good at this task? If the behaviour of a dynamical system is described geometrically by the trajectory

ambivalence

一回合

Measurements,escription using only measurements. Colour measurements are used to illustrate that data can be simplified by applying principal components analysis, resulting in a partition of the data according to how the measurements vary with each other. The neural implementation of this procedure corresponds t

inquisitive

From Local to Global,in has to be able to turn a local description into a global description. The task of making use of a retinal image is used as an example of how measurements from the outline of a manifold can be used to recover a global description by applying Morse theory.

机警

Actions,n of an action as a slow-fast system is introduced and applied to eye and arm movements. It is then extended to include the decision process of which action to make, which is described in terms of alternative trajectories.

Bouquet

Brain and Body,cal constraints are obeyed throughout the movement. Linear modelling of biological tissue is introduced and applied to the orbital plant and the oculomotor neural integrator. The linear approach is extended to simple nonlinear behaviour, using the larynx as an example. Nonlinearities lead to a great

morale

Herd-Immunity

增长

Book 2022behaviour. .If you record the eye movements of a group of people watching a riverside scene then some will look at the river, some will look at the barge by the side of the river, some will look at the people on the bridge, and so on, but if a duck takes off then everybody will look at it.  How come

脱离

2195-1934 of all key insightsThis book provides a brief but accessible introduction to a set of related, mathematical ideas that have proved useful in understanding the brain and behaviour. .If you record the eye movements of a group of people watching a riverside scene then some will look at the river, some