Related Experiment Video
Updated: Aug 6, 2026
07:23
Using Insect Electroantennogram Sensors on Autonomous Robots for Olfactory Searches
Published on: August 4, 2014
A logic-based dynamical theory for a genesis of biological threshold
1Department of Mathematics, Graduate School of Science, Hokkaido University, Sapporo, Japan.
Bio Systems
|January 1, 1997
Summary
This study proposes a logic-based dynamical theory to explain how proteins create biological thresholds in neurons. It models proteins as computational machines, revealing a sigmoidal function that leads to a binary 0 or 1 threshold.
Area of Science:
- Computational neuroscience
- Biophysics
- Theoretical biology
Background:
- Understanding the precise mechanism of biological threshold generation in neurons is crucial for computational neuroscience.
- Specific proteins, like ion channels, and their networks are known to play a role in neuronal function.
Purpose of the Study:
- To develop a formal, logic-based dynamical theory for the genesis of biological thresholds in neurons.
- To model protein and protein networks as computational machines.
Main Methods:
- Utilizing dynamical systems theory and inference processes with continuous truth values.
- Analyzing invariant characteristics of these dynamics.
- Investigating functional equations representing self-description of protein networks.
Main Results:
- Derived a sigmoidal function for the invariant distribution of truth values.
- Demonstrated the emergence of a binary threshold (0 or 1) from continuous truth values.
- Identified a framework for neuronal threshold mechanisms distinct from population dynamics.
Conclusions:
- The proposed logic-based dynamical theory provides a novel perspective on neuronal threshold genesis.
- This model offers insights into how proteins can rectify thermal fluctuations, akin to Maxwell's demon.
- The findings may contribute to the computational construction of formal neurons.
More Related Videos
10:44Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
Published on: December 7, 2021
08:44Dynamic Clamp Methods to Investigate Impaired Neuronal Excitability Associated with Autism
Published on: October 17, 2025
Related Concept Videos
01:38Limits to Natural Selection
Organisms that are well-adapted to their environment are more likely to survive and reproduce. However, natural selection does not lead to perfectly adapted organisms. Several factors constrain natural selection.For one, natural selection can only act upon existing genetic variation. Hypothetically, redtusks may enhance elephant survival by deterring ivory-seeking poachers. However, if there are no gene variants—or alleles—for redtusks, natural selection cannot increase the prevalence of...
01:22Diversity in Cell Signaling Responses
The physiological function of a cell and cellular communication are outcomes of a range of extrinsic signals, intracellular signaling pathways, and cellular responses. No two cell types express the same repertoire of signaling components. Receptors are highly selective for their cognate ligands, but once activated, they can alter multiple cellular processes such as DNA transcription, protein synthesis, and metabolic activity.
Graded and Abrupt Responses
Some signaling systems generate...
Graded and Abrupt Responses
Some signaling systems generate...
01:19Graded Potential
Graded potentials are localized fluctuations in the cell membrane's electrical charge, commonly found in the dendrites of neurons. The magnitude of these potential changes depends on the strength of the initiating stimulus. In a membrane at its resting potential, a graded potential signifies a voltage shift either above -70 mV or below -70 mV.
Graded potentials fall into two categories: depolarizing and hyperpolarizing. Depolarizing graded potentials typically occur when sodium (Na+) or calcium...
Graded potentials fall into two categories: depolarizing and hyperpolarizing. Depolarizing graded potentials typically occur when sodium (Na+) or calcium...
01:22Limits of the First Law of Thermodynamics
Spontaneous processes, like a rock falling to the ground or sodium reacting with chlorine, occur without external work and often involve a decrease in the system‘s energy. However, certain endothermic processes, such as the dissolution of sodium chloride in water, occur spontaneously even though they increase the energy of the system. This limitation suggests that the First Law of Thermodynamics, which states that the total energy of a system is constant in an isolated system, cannot fully...
01:30Introduction to Biological Bases of Psychology
Biopsychology serves as a vital bridge connecting the intricate domains of biology and psychology, shedding light on how biological systems influence psychological phenomena. This field scrutinizes the biological substrates of behavior and mental processes, emphasizing the nervous system along with the roles of neurotransmitters, hormones, and genetics. It also incorporates evolutionary perspectives to explain the adaptive nature of mental functions.
The nervous system, the cornerstone of...
The nervous system, the cornerstone of...
01:25Modeling with Differential Equations
Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...