Related Experiment Video
Updated: Aug 13, 2026
09:23
Integrating Automated Simulation Workflows with 3D Visualization for Virtual Experiments in the Metaverse
Published on: July 21, 2026
Any material realization of the (M,R)-systems must have noncomputable models
1ahlouie@rogers.com
Journal of Integrative Neuroscience
|December 31, 2005
Summary
Robert Rosen's (M,R)-systems, a model of organisms, cannot be computationally implemented. This paper demonstrates the logical impossibility of "computable" (M,R)-systems, crucial for understanding brain dynamics.
Area of Science:
- Relational biology
- Theoretical biology
- Systems theory
Background:
- Robert Rosen's (M,R)-systems define a key feature of organisms: an impredicative hierarchy of constraint.
- This hierarchy relates to the closure of entailment relations concerning efficient cause.
- It has been mathematically proven that (M,R)-systems are inherently non-computable.
Purpose of the Study:
- To explain the logical impossibility of "computable" implementations of (M,R)-systems.
- To analyze errors in reported "counterexamples" of computable (M,R)-systems.
- To highlight the relevance of these findings to neuroscience and brain dynamics.
Main Methods:
- Logical analysis of relational models.
- Examination of mathematical proofs regarding computability.
- Critique of specific "computable" (M,R)-system implementations.
Main Results:
- Demonstration of the logical contradiction in attempting to create computable (M,R)-systems.
- Identification of specific errors in a prominent "counterexample" implementation.
- Reinforcement of the non-computable nature of true (M,R)-systems.
Conclusions:
- Reported "computable" (M,R)-systems are logically flawed.
- The structure of closure to efficient cause in (M,R)-systems mirrors observed brain dynamics.
- Understanding this non-computable biological feature is essential for neuroscience.
Related Concept Videos
01:21Mechanistic Models: Overview of Compartment Models
Mechanistic models, a category encompassing both physiological and compartmental modeling, differ from empirical models' approaches to incorporating known factors about the systems being modeled. Empirical models describe data with minimal assumptions, while mechanistic models aim to provide a robust description of available data by specifying assumptions and integrating known factors about the system. Compartmental analysis is a key example of a mechanistic model in pharmacokinetics and...
01:06Virtual Work for a System of Connected Rigid Bodies
Virtual work is a powerful method used to solve problems involving several connected rigid bodies. When the system is in equilibrium, virtual work is zero. This allows the calculation of the resulting forces when a system undergoes a virtual displacement. When attempting to analyze such a system, first, use a free-body diagram, where an independent coordinate represents the configuration of the links, and mark its deflected position resulting from the positive virtual displacement.
Next,...
Next,...
01:29Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
01:34Woodward–Hoffmann Selection Rules and Microscopic Reversibility
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
01:25Clearance Models: Compartment Models
Clearance measures drug elimination from the central compartment, including plasma and highly perfused organs like kidneys and liver. Its calculation varies depending on pharmacokinetic models and administration routes. The one-compartment model, for instance, portrays the pharmacokinetics of polar drugs such as aminoglycoside antibiotics administered intravenously and readily excreted in urine. In this case, clearance is influenced by the terminal rate constant (λz) and the total volume of...
01:26Constraints and Statical Determinacy
In structural engineering, the equilibrium of a system is not only determined by its equations of equilibrium but also with the help of constraints. Constraints refer to restrictions on the motion of a system. The proper combinations of constraints can minimize the total number of constraints needed to maintain a system in mechanical equilibrium. When this happens, the system is said to be statically determinate. For such systems, the unknown reaction supports can be estimated using equilibrium...