scholarly journals A Theoretical Approach to the Regulatory Mechanism in the Brain-Hypophyseal-Gonadal System with Reference to its Mathematical Modeling and Computer Simulation

1970 ◽  
Vol 17 (6) ◽  
pp. 567-583 ◽  
Author(s):  
SHOJIRO INOUÉ ◽  
TOUICHI NAKAMURA ◽  
TAKASHI SEKIGUCHI
Keyword(s):  
Mathematical Modeling ◽  
Computer Simulation ◽  
Theoretical Approach ◽  
Regulatory Mechanism ◽  
The Brain

scholarly journals Mathematical modeling and computer simulation of needle insertion into soft tissue

PLoS ONE ◽  
2020 ◽  
Vol 15 (12) ◽  
pp. e0242704
Author(s):  
Adam Wittek ◽  
George Bourantas ◽  
Benjamin F. Zwick ◽  
Grand Joldes ◽  
Lionel Esteban ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mechanical Properties ◽  
Computer Simulation ◽  
Soft Tissue ◽  
Soft Tissues ◽  
Needle Insertion ◽  
Tissue Deformations ◽  
The Brain ◽  
Total Lagrangian Explicit Dynamics ◽  
Kinematic Approach

In this study we present a kinematic approach for modeling needle insertion into soft tissues. The kinematic approach allows the presentation of the problem as Dirichlet-type (i.e. driven by enforced motion of boundaries) and therefore weakly sensitive to unknown properties of the tissues and needle-tissue interaction. The parameters used in the kinematic approach are straightforward to determine from images. Our method uses Meshless Total Lagrangian Explicit Dynamics (MTLED) method to compute soft tissue deformations. The proposed scheme was validated against experiments of needle insertion into silicone gel samples. We also present a simulation of needle insertion into the brain demonstrating the method’s insensitivity to assumed mechanical properties of tissue.

Modelling and Simulation of Biological Systems

2011 ◽  
pp. 68-73
Author(s):  
George I. Mihalas
Keyword(s):  
Mathematical Modeling ◽  
Computer Simulation ◽  
Protein Synthesis ◽  
Differential Equations ◽  
Theoretical Approach ◽  
Biological Systems ◽  
Modelling And Simulation ◽  
Comprehensive View ◽  
Synthesis Regulation ◽  
Insight Into

It is unanimously accepted that a theoretical approach of a system or phenomenon reveals new features and offers a deeper insight into the intimate mechanisms. In life science, this approach is mainly based on mathematical modeling, followed naturally by computer simulation. The chapter presented here tries to give the reader a comprehensive view over the main issues arising when attempting to build models of biological systems. A series of applications is shortly presented. The second half of the chapter is dedicated to one of the most interesting models: protein synthesis regulation. The example follows the classical steps: the scheme of the processes to be described, the set of differential equations and the results, including their possible interpretation.

scholarly journals Mathematical Modeling And Computer Simulation Of Fire Phenomena

1994 ◽  
Vol 4 ◽  
pp. 185-193 ◽  
Author(s):  
H. Baum ◽  
K. Mcgrattan ◽  
R. Rehm
Keyword(s):  
Mathematical Modeling ◽  
Computer Simulation

scholarly journals Beyond the brain: towards a mathematical modeling of emotions

2021 ◽  
Vol 2090 (1) ◽  
pp. 012119
Author(s):  
Benjamin Ambrosio
Keyword(s):  
Mathematical Modeling ◽  
Dynamical System ◽  
Electromagnetic Waves ◽  
Real Life ◽  
Work Environments ◽  
Mathematical Approach ◽  
Characteristic Frequencies ◽  
Human Psyche ◽  
The Brain ◽  
Psychic State

Abstract This article focuses on a mathematical description of the emotional phenomenon. The key concept is to consider emotions as an energy, and to rely on the analogy with the electromagnetic waves. Our aim is to provide a mathematical approach to characterize the emergence of emotional fluxes in the human psyche. This goes beyond classical pscychological approaches. In this setting, specific emotions correspond to specific frequencies and our psychic state results from the summation of different characteristic frequencies. Our general model of psychic state is a dynamical system whose evolution results from interactions between external inputs and internal reactions. The model provides both qualitative (frequencies) and quantitative (intensity) components. It aims to be applied to real life situations (in particular in work environments) and we provide a typical example which naturally leads to a problem of control.

scholarly journals Biomechanical modeling and computer simulation of the brain during neurosurgery

2019 ◽  
Vol 35 (10) ◽  
Author(s):  
Karol Miller ◽  
Grand R. Joldes ◽  
George Bourantas ◽  
Simon K. Warfield ◽  
Damon E. Hyde ◽  
...  
Keyword(s):  
Computer Simulation ◽  
Biomechanical Modeling ◽  
The Brain
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