Compartmental-model response function for dendritic trees

1993 ◽  
Vol 70 (2) ◽  
pp. 199-207 ◽  
Author(s):  
Paul C. Bressloff ◽  
John G. Taylor
Keyword(s):  
Response Function ◽  
Compartmental Model ◽  
Dendritic Trees ◽  
Model Response

scholarly journals Distance-dependent gradient in NMDAR-driven spine calcium signals along tapering dendrites

2017 ◽  
Vol 114 (10) ◽  
pp. E1986-E1995 ◽  
Author(s):  
Alison S. Walker ◽  
Guilherme Neves ◽  
Federico Grillo ◽  
Rachel E. Jackson ◽  
Mark Rigby ◽  
...  
Keyword(s):  
Hippocampal Neurons ◽  
Compartmental Model ◽  
Calcium Dynamics ◽  
Calcium Signals ◽  
Dendritic Trees ◽  
A Cell ◽  
Block Face ◽  
Dendritic Arbors ◽  
Spine Function ◽  
Biased Distribution

Neurons receive a multitude of synaptic inputs along their dendritic arbor, but how this highly heterogeneous population of synaptic compartments is spatially organized remains unclear. By measuringN-methyl-d-aspartic acid receptor (NMDAR)-driven calcium responses in single spines, we provide a spatial map of synaptic calcium signals along dendritic arbors of hippocampal neurons and relate this to measures of synapse structure. We find that quantal NMDAR calcium signals increase in amplitude as they approach a thinning dendritic tip end. Based on a compartmental model of spine calcium dynamics, we propose that this biased distribution in calcium signals is governed by a gradual, distance-dependent decline in spine size, which we visualized using serial block-face scanning electron microscopy. Our data describe a cell-autonomous feature of principal neurons, where tapering dendrites show an inverse distribution of spine size and NMDAR-driven calcium signals along dendritic trees, with important implications for synaptic plasticity rules and spine function.

The Coupling Model: A Fundamental Mechanism Governing Time Dependent Properties of Relaxations, Structural Recovery and Nonlinear Viscoelasticity

1986 ◽  
Vol 79 ◽  
Author(s):  
R. W. Rendell ◽  
K. L. Ngai ◽  
A. F. Yee
Keyword(s):  
Response Function ◽  
Physical Aging ◽  
Nonlinear Viscoelasticity ◽  
Relaxation Times ◽  
Coupling Model ◽  
Time Dependent ◽  
Material Structure ◽  
Strain History ◽  
Structural Recovery ◽  
Model Response

AbstractThe recent renewal of interest in the time dependent response of complex material systems stems both from their increasing importance and from recent advances in theoretical tools and concepts. This paper describes one of these advances, the coupling model of relaxation. The coupling model proposes a view of how relaxation proceeds in time in which a primitive relaxation mode is coupled to its complex surroundings. Examples of the coupling model predictions for terminal relaxations, primary-segmental relaxations including physical aging, and secondary relaxations in polymers are described. It is able to confront and quantitatively explain several long-standing problems and anomalies for which traditional approaches, in their present form, such as distributions of relaxation times, free volume, configuration entropy and reptation are not successful. The coupling model response function is also appropriate for structural nonequilibrium and its predictions for volume recovery are described. The same coupling model response function is used as a timedependent kernal in a constitutive equation to discuss nonlinear viscoelasticity. The model incorporates the strain history dependence and allows for the evolution of material structure. Using information from strain-tickle experiments on polycarbonate and polyetherimide, we show that the coupling model reproduces the essential features observed experimentally for a variety of strain histories.

FURTHER CONSIDERATIONS ON THE CALCULATIONS OF SECRETION RATES. A CORRECTION

1961 ◽  
Vol 38 (3) ◽  
pp. 469-472 ◽  
Author(s):  
K. R. Laumas ◽  
J. F. Tait ◽  
S. A. S. Tait
Keyword(s):  
Steady State ◽  
Compartmental Model ◽  
Single Injection ◽  
Previous Treatment ◽  
Urinary Metabolite ◽  
Theoretical Treatment ◽  
Basic Equations ◽  
Special Circumstances ◽  
Secretion Rates

ABSTRACT Reconsideration of the question of the validity of the calculations of the secretion rates from the specificity activity of a urinary metabolite after the single injection of a radioactive hormone has led us to conclude that the basic equations used in a previous theoretical treatment are not generally applicable to the nonisotopic steady state if the radioactive steroid and hormone are introduced into the same compartment. If this is so, in a two compartmental model with metabolism occurring in both pools, it is now shown that the calculation (S = R — τ) is rigorously valid if certain precautions are taken. This is in contrast to the previous treatment which concluded (in certain special circumstances) that the calculation might not be correct. However, if the hormone is secreted in both compartments and the radioactive steroid is injected into only one, then the calculation (S = R — τ) may not be correct in certain circumstances as was previously concluded (Laumas et al. 1961).

Fractional Vector-Order h-Realisation of the Impulse Response Function

2020 ◽  
Vol 14 (2) ◽  
pp. 108-113
Author(s):  
Ewa Pawłuszewicz
Keyword(s):  
Control Systems ◽  
Impulse Response ◽  
Response Function ◽  
Impulse Response Function ◽  
Linear Control ◽  
Linear Control Systems

AbstractThe problem of realisation of linear control systems with the h–difference of Caputo-, Riemann–Liouville- and Grünwald–Letnikov-type fractional vector-order operators is studied. The problem of existing minimal realisation is discussed.

Dampak Penerapan Perbankan Syari’ah Terhadap Pertumbuhan Ekonomi Negara: Kajian Perbandingan Malaysia dan Indonesia

2017 ◽  
Vol 1 (1) ◽  
pp. 37
Author(s):  
Hansen Rusliani
Keyword(s):  
Gross Domestic Product ◽  
Response Function ◽  
Price Index ◽  
Vector Autoregression ◽  
Consumer Price Index ◽  
Domestic Product

Penelitian ini bertujuan untuk mengetahui dampak perbankan syari’ah terhadap pertumbuhan ekonomi di Indonesia dan Malaysia. Data yang digunakan dalam penelitian ini merupakan data primer (interview) dan data sekunder dalam bentuk bulanan yang diperoleh dari Badan Pusat Statistik Ekonomi dan Keuangan Indonesia Bank Indonesia (SEKI-BI) dan Statistik Perbankan Syari’ah Bank Indonesia (SPS-BI) serta data dari Bank Negara Malaysia dan Departemen Statistik Malaysia dalam periode waktu kurun waktu 16 tahun, 2000 sampai dengan 2015. Observasi penelitian dilakukan di Indonesia dan Malaysia untuk memperkaya analisis. Penelitian ini menggunakan Vector Autoregression (VAR), Uji Kointegrasi serta dikombinasikan dengan Response Function (IRF) dan Decomposition (FEVD) untuk melihat interaksi antara faktor makro ekonomi dengan pembiayaan dalam jangka panjang. Adapun variabel yang digunakan adalah total pembiayan syari’ah (Total Syari’ah Financing) dan Gross Domestic Product (GDP) sebagai representasi pertumbuhan ekonomi. Untuk tambahan variabel digunakan Consumer Price Index (CPI) sebagai representasi tingkat inflasi. Hipotesis penelitian yaitu terdapat pertumbuhan ekonomi setiap tahunnya dikedua negara tersebut pasca krisis moneter.

GEOMETRIC THEORY OF MULTIDIMENSIONAL INTERPOLATION

2020 ◽  
Vol 2020 (1) ◽  
pp. 9-16
Author(s):  
Evgeniy Konopatskiy
Keyword(s):  
Response Function ◽  
Algebraic Curves ◽  
Geometric Theory ◽  
Analytical Description ◽  
Geometric Interpretation ◽  
Affine Geometry ◽  
Mathematical Apparatus ◽  
Multidimensional Interpolation ◽  
Pass Through

The paper presents a geometric theory of multidimensional interpolation based on invariants of affine geometry. The analytical description of geometric interpolants is performed within the framework of the mathematical apparatus BN-calculation using algebraic curves that pass through preset points. A geometric interpretation of the interaction of parameters, factors, and the response function is presented, which makes it possible to generalize the geometric theory of multidimensional interpolation in the direction of increasing the dimension of space. The conceptual principles of forming the tree of the geometric interpolant model as a geometric basis for modeling multi-factor processes and phenomena are described.

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