A First Electrical Analog Model of the ODM — Oscillations

Author(s):  
R. Täumer ◽  
H. Kapp ◽  
J. Hennig ◽  
N. Rohde
2008 ◽  
Vol 294 (1) ◽  
pp. C79-C87 ◽  
Author(s):  
Brian Glancy ◽  
Thomas Barstow ◽  
Wayne T. Willis

Following the onset of moderate aerobic exercise, the rate of oxygen consumption (Jo) rises monoexponentially toward the new steady state with a time constant (τ) in the vicinity of 30 s. The mechanisms underlying this delay have been studied over several decades. Meyer's electrical analog model proposed the concept that the τ is given by τ = Rm· C, where Rm is mitochondrial resistance to energy transfer, and C is metabolic capacitance, determined primarily by the cellular total creatine pool (TCr = phosphocreatine + creatine). The purpose of this study was to evaluate in vitro the Jo kinetics of isolated rat skeletal muscle mitochondria at various levels of TCr and mitochondrial protein. Mitochondria were incubated in a medium containing 5.0 mM ATP, TCr pools of 0–1.5 mM, excess creatine kinase, and an ATP-splitting system of glucose + hexokinase (HK). Pyruvate and malate (1 mM each) were present as oxidative substrates. Jo was measured across time after HK was added to elicit one of two levels of Jo (40 and 60% of state 3). At TCr levels (in mM) of 0.1, 0.2, 0.3, 0.75, and 1.5, the corresponding τ values (s, means ± SE) were 22.2 ± 3.0, 36.3 ± 2.2, 65.7 ± 4.3, 168.1 ± 22.2, and 287.3 ± 25.9. Thus τ increased linearly with TCr ( R2 = 0.916). Furthermore, the experimentally observed τ varied linearly and inversely with the mitochondrial protein added. These in vitro results consistently conform to the predictions of Meyer's electrical analog model.


1966 ◽  
Vol 23 (9) ◽  
pp. 1411-1438 ◽  
Author(s):  
B. L. Blackford

A mathematical model of water circulation in an enclosed basin was examined, taking into account the effects of vertical friction, Coriolis force, and horizontal pressure gradients. Wind stress at the free surface was the only excitation force taken into account. The resulting vorticity equation was applied to the Gulf of St. Lawrence by using an electrical analog simulation technique. Solutions were obtained for two situations: one in which the circulation was vertically averaged and another which showed the circulation at several depths. Comparison of the results with broad features of the Gulf circulation derived from synoptic surveys suggested that the wind plays an important role in producing the long-term circulation. The model did not duplicate all of the features of the long-term circulation, but suggested several phenomena for further direct study.


1995 ◽  
Vol 269 (6) ◽  
pp. H2109-H2123 ◽  
Author(s):  
J. G. Venegas ◽  
M. P. Sullivan ◽  
S. V. Yalla ◽  
M. A. Vickers

To understand and quantify specific causes of venoocclusive dysfunction, an analog model of penile hemodynamics, including a mechanism of flow limitation by subtunical veins, was developed and a detailed analytic study was conducted in patients with erectile dysfunction. Computer simulations for steady-state and transient intracavernosal conditions were carried out to study graded changes in cavernosal smooth muscle tone, subtunical venular resistance, and cavernosal and tunical compliances. The model predicted a steady-state cavernosal pressure (Pca)-infusion flow relationship with two phases: an initial phase characterized by a gradual slope up to a critical flow and a second phase characterized by a much steeper slope after limitation of subtunical venular flow. Model predictions were compared with clinical data obtained during incremental saline cavernosometry (SaC) and pharmacocavernosometry (PhC) in 13 patients with erectile dysfunction with use of a computer-controlled infusion system that automatically changed from constant-flow to constant-pressure feedback control when Pca reached the threshold of 80 mmHg. Steady-state pressure-flow and pressure-circumference relationships of the penis were analyzed and interpreted in terms of specific components of the electrical analog model. These clinical studies demonstrated that patients with a functional venoocclusive mechanism (i.e., those able to achieve 100 mmHg Pca with infusion flow rates < 60 ml/min during PhC) had a steeper initial slope of the pressure-flow relationship during SaC and a greater increase in penile circumference and Pca after intracavernosal injection of papaverine-phentolamine than those with an impaired venoocclusive mechanism. From the electrical analog model, initial steepness of the pressure-flow relationship (slope) during SaC mainly represented subtunical venular resistance, whereas maintenance of flow during PhC depended on overall function of the different components, i.e., subtunical venular resistance, cavernosal and subtunical compliances, and full relaxation of cavernosal smooth muscle. We conclude that the proposed analog model can be used to interpret and characterize clinical penile hemodynamic data and may provide guidelines for more successful management of patients with erectile dysfunction.


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