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Related Concept Videos

Entropy within the Cell01:22

Entropy within the Cell

A living cell's primary tasks of obtaining, transforming, and using energy to do work may seem simple. However, the second law of thermodynamics explains why these tasks are harder than they appear. None of the energy transfers in the universe are completely efficient. In every energy transfer, some amount of energy is lost in a form that is unusable. In most cases, this form is heat energy. Thermodynamically, heat energy is defined as the energy transferred from one system to another that is...
Gibbs Free Energy02:39

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One of the challenges of using the second law of thermodynamics to determine if a process is spontaneous is that it requires measurements of the entropy change for the system and the entropy change for the surroundings. An alternative approach involving a new thermodynamic property defined in terms of system properties only was introduced in the late nineteenth century by American mathematician Josiah Willard Gibbs. This new property is called the Gibbs free energy (G) (or simply the free...
Second Law of Thermodynamics02:49

Second Law of Thermodynamics

In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic models, the...
Second Law of Thermodynamics00:53

Second Law of Thermodynamics

The Second Law of Thermodynamics states that entropy, or the amount of disorder in a system, increases each time energy is transferred or transformed. Each energy transfer results in a certain amount of energy that is lost—usually in the form of heat—that increases the disorder of the surroundings. This can also be demonstrated in a classic food web. Herbivores harvest chemical energy from plants and release heat and carbon dioxide into the environment. Carnivores harvest the chemical energy...
Entropy02:39

Entropy

Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
Gibbs Free Energy and Thermodynamic Favorability02:23

Gibbs Free Energy and Thermodynamic Favorability

The spontaneity of a process depends upon the temperature of the system. Phase transitions, for example, will proceed spontaneously in one direction or the other depending upon the temperature of the substance in question. Likewise, some chemical reactions can also exhibit temperature-dependent spontaneities. To illustrate this concept, the equation relating free energy change to the enthalpy and entropy changes for the process is considered:

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Related Experiment Video

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3D Modeling of Dendritic Spines with Synaptic Plasticity
07:13

3D Modeling of Dendritic Spines with Synaptic Plasticity

Published on: May 18, 2020

Free energy and dendritic self-organization.

Stefan J Kiebel1, Karl J Friston

  • 1Department of Neurology, Max Planck Institute for Human Cognitive and Brain Sciences Leipzig, Germany.

Frontiers in Systems Neuroscience
|October 21, 2011
PubMed
Summary

Neurons selectively filter inputs by pruning dendritic spines to minimize surprise, aligning with free-energy principles. This process optimizes neuronal processing and connects it to machine learning methods.

Keywords:
Bayesian inferencedendritedendritic computationfree energymulti-scalenon-linear dynamical systemsingle neuronsynaptic reconfiguration

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Area of Science:

  • Computational Neuroscience
  • Neuroscience
  • Machine Learning

Background:

  • Single neurons exhibit selectivity for specific presynaptic input sequences via dendritic filtering.
  • Understanding the mechanistic basis of this neuronal input selectivity is crucial.

Purpose of the Study:

  • To provide a principled and mechanistic account of neuronal input selectivity using a free-energy principle.
  • To model how dendrites self-organize to minimize surprise from presynaptic inputs.

Main Methods:

  • Application of a variational free-energy principle to a dendrite.
  • Modeling selective pruning of dendritic spines based on postsynaptic gain thresholds.
  • Optimizing postsynaptic gain with respect to free energy.

Main Results:

  • Dendritic spine pruning occurs when postsynaptic gain falls below a threshold, driven by free-energy minimization.
  • This pruning mechanism allows dendrites to select presynaptic signals that match their internal generative models.
  • Neuronal processing is linked to surprise minimization and Bayesian inference principles.

Conclusions:

  • The study offers a principled explanation for how neurons achieve selective sampling of presynaptic inputs.
  • Connects elemental neuronal processing (dendritic filtering) to broader computational principles like Bayesian model selection.
  • Highlights the role of free-energy minimization in neuronal organization and information processing.