Moscow State University of Medicine and Dentistry; Moscow, Russian Federation
*Corresponding author: Alexander G. Kruglov, PhD, ScD. Moscow State University of Medicine and Dentistry, 15 Aviaconstructor Mil str., housing 1, apt. 70, 109431, Moscow, Russian Federation. E-mail: firstname.lastname@example.org
Published: March 25, 2014.
The article outlines the possible approaches in the mathematical computations of integrated behavioral units in functional systems supporting homeostasis through in behavioral changes. By an imbalance in the homeostasis system which initiates adaptive behavior we assume: for metabolism – a departure of the parameters from the “normal zone” to the level of a suprathreshold sensitivity of the receptors; for structures of the psychological and social spectra – to the “cognized-not cognized”, “acceptable-not acceptable” levels. For the system analysis of goal-directed behavior dynamics, we present a combination of the “creation – retention” of the ideal image of the goal and the entire effector structure of the integrated behavioral unit by introducing an integrating term, motivational gradient. The integrated Behavioral Unit (BU) is described as a psychophysiological metamer in behavioral continuum, including a mathematical description of the BU as a whole including its elements viz., the ideal image of the goal and the motivational gradient. The hemodynamic equivalent of the motivational gradient (the scalar gradient) and subjective time (the time marker) are used as the BU markers. For the mathematical description, we use the mathematical apparatus of topological spaces and elements of the string theory to open up opportunities for new approaches in psychology and neurobiology.
- Hayes-Roth B. An architecture for adaptive intelligent systems. Artificial Intelligence 1995; 72(1-2):329 -365.
- Anochin PK. Philosophical aspects of the theory of the functional systems. Moscow: Science; 1978.
- Shvyrkov VB. Introduction to objective psychology. Neuronal basics of psychics. Moscow, Psychology Institute of RAS (Russian Academy of Sciences); 1995.
- Kruglov AG, Gebel GY, Vqsilyev AY. Impact of Intra-Extracranial Hemodynamics on Cerebral Ischemia by Arterial Hypertension (Part 1) IJBM 2012; 2(2):89-95
- Sudakov K.V. Functional systems. Moscow: RAMS (Russian Academy of Medical Sciences) Publishing House; 2011.
- Rubin AB. Kinetics of biological processes. Soros Educational Journal.1998;10:84-91.
- Kruglov AG, Gebel GY, Vqsilyev AY. Intracranial venous pressure as a possible determinant of mental regulation. IJBM 2011; 1(4):245-8.
- Rubinshtein SL. Fundamentals of general psychology. St. Petersburg; 2003.
- Simankov VS., Lutsenko YeV. Adaptive management of complex systems by using the image recognition theory. Krasnodar Technological University; 1999.
- Engelking R. General Topology. Moscow: Mir; 1986.
- Kolmogorov AN, Yushkevich AP. Mathematics of the 19th century. Theory of analytical functions. Moscow: Science; 1981 (2):98-99.
- Vereshchagin NK, Shen A. Fundamentals of the set theory. Lectures on mathematical logic and algorithm theory. Part 1. 2nd ed. Moscow: MСNMO; 2002.
The fully formatted PDF version is available.
Int J Biomed. 2014; 4(1):46-48. © 2014 International Medical Research and Development Corporation. All rights reserved.