scholarly journals Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons

2014 ◽  
Vol 85 ◽  
pp. 38-53 ◽  
Author(s):  
Pedro M. Lima ◽  
Neville J. Ford ◽  
Patricia M. Lumb
Keyword(s):  
Mathematical Model ◽  
Computational Methods ◽  
Myelinated Axons ◽  
Nerve Impulses

Burst Activity of the Buccal Ganglion of Aplysia Depilans

1972 ◽  
Vol 56 (3) ◽  
pp. 735-754
Author(s):  
R. M. ROSE_
Keyword(s):  
Mathematical Model ◽  
Burst Activity ◽  
Buccal Ganglion ◽  
Natural Stimulus ◽  
Nerve Impulses

1. The activity of the buccal ganglion of Aplysia depilans is manifested as regular and sequential bursts of nerve impulses. 2. Regularly firing bursts are seen in the absence of feeding movements. 3. Sequences of bursts lasting for several minutes have been recorded during feeding movements induced by a natural stimulus. 4. A feed-back system has been used to produce bursts in certain other cells synchronous with the regularly firing units. 5. During sequences of bursts there is an alternation of activity between the two groups of neurones. 6. One group is made up of four cells discharging synchronously but within different ranges of frequency. 7. A mathematical model of this activity will be presented in another paper.

Numerical Simulation of Indirectly Heated Hot Water Heater

2014 ◽  
Vol 875-877 ◽  
pp. 1693-1697 ◽  
Author(s):  
Richard Lenhard ◽  
Katarína Kaduchová ◽  
Jozef Jandačka
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Finite Volume ◽  
Computational Methods ◽  
Finite Volume Methods ◽  
Hot Water ◽  
Geometrical Parameters ◽  
Water Heater ◽  
Cfd Simulations ◽  
Cfd Method

This paper describes a mathematical model of heating hot water for indirectly heated hot water heater. Using the established mathematical model was carried out simulation of the device to change its geometrical parameters. Based on the results of simulations was carried out optimization of indirectly heated hot water heater for hot water. Subsequently been made CFD simulations of the device, and those were compared with a mathematical model to verify the accuracy of the proposed mathematical model of heating hot water for indirectly heated hot water heater. Computational methods based on finite volume methods (CFD method) have proved very useful in optimizing indirectly heated hot water heater.

scholarly journals Mobile breathers in a Nonlinear model for DNA breathing

2017 ◽  
Vol 42 (1) ◽  
pp. 71
Author(s):  
Hernan Cortez Gutierrez ◽  
Elso Drigo Filho ◽  
José Roberto Ruggiero ◽  
Milton Cortez Gutierrez
Keyword(s):  
Mathematical Model ◽  
Computational Methods ◽  
Nonlinear Model ◽  
Morse Potential ◽  
Control Parameters ◽  
Dna Dynamics ◽  
Matlab Software ◽  
Computational Approaches ◽  
Pile Up ◽  
Energy Center

Objectives. Analyze the DNA dynamics in Peyrard-Bishop-Dauxois model (PBD) with different control parameters using its energy center of the mobile “breather”. Materials and methods. We used the Peyrard-Bishop-Dauxois mathematical model and the MATLAB software for studying the DNA dynamic using Morse potential, Symmetric Morse and the “hump” potential for simulating the interactions which arise the pile up. Results. It has been observed that the analytical and computational methods allow to detect the influence of the potentials of the PBD model in the behavior of the energy center in the presence of a couple of base A(adenine) or T(thymine) using the control of parameter α=-0.30 and velocity of mobile breather: v0=0.1. In the case of Morse potential, the center of energy respect to the mobile breather undergoes a change in its trajectory and produce a DNA breathing. Conclusions. Analytical and computational approaches can be used for obtaining differences respect to the DNA dynamics using different control parameters: velocity of BM and inhomogeneity. The potential “hump” may decrease the reflective effect with the indicated parameters to the effect on the energy center to the mobile breather.

Mass-Spring-Damper Response to Repetitive Impact

1967 ◽  
Vol 89 (4) ◽  
pp. 587-596 ◽  
Author(s):  
W. H. Park
Keyword(s):  
Mathematical Model ◽  
Experimental Model ◽  
Computational Methods ◽  
Equations Of Motion ◽  
Experimental Methods ◽  
Engineering Data ◽  
Simple Mass ◽  
Repetitive Impact ◽  
Mass Spring ◽  
The Mathematical Model

The object of this research is the study of the response of a simple mass-spring-damper system to repetitive impact. The following analytical and experimental methods were employed: (a) Solution of the equations of motion by analytical and computational methods; (b) use of an experimental model to quantitatively establish the correspondence between the mathematical model and the real system; and (c) development of useful engineering data, charts, and curves from the analytical and experimental phases.

scholarly journals Cytoskeletal transition at the paranodes: the Achilles' heel of myelinated axons

2007 ◽  
Vol 3 (2) ◽  
pp. 169-178 ◽  
Author(s):  
Aurea D. Sousa ◽  
Manzoor A. Bhat
Keyword(s):  
Multiple Sclerosis ◽  
Myelin Sheath ◽  
Crucial Role ◽  
Demyelinating Diseases ◽  
Myelinated Axons ◽  
Nerve Impulses ◽  
Axonal Cytoskeleton

AbstractMyelination organizes axons into distinct domains that allow nerve impulses to propagate in a saltatory manner. The edges of the myelin sheath are sealed at the paranodes by axon–glial junctions that have a crucial role in organizing the axonal cytoskeleton. Here we propose a model in which the myelinated axons depend on the axon–glial junctions to stabilize the cytoskeletal transition at the paranodes. Thus paranodal regions are likely to be particularly susceptible to damage induced by demyelinating diseases such as multiple sclerosis.

Sign in / Sign up

Export Citation Format

Share Document