Scroll-Wave Dynamics in Human Cardiac Tissue: Lessons from a Mathematical Model with Inhomogeneities and Fiber Architecture

Cardiac arrhythmias, such as ventricular tachycardia (VT) and ventricular fibrillation (VF), are among the leading causes of death in the industrialized world. These are associated with the formation of spiral and scroll waves of electrical activation in cardiac tissue; single spiral and scroll waves are believed to be associated with VT whereas their turbulent analogs are associated with VF. Thus, the study of these waves is an important biophysical problem. We present a systematic study of the combined effects of muscle-fiber rotation and inhomogeneities on scroll-wave dynamics in the TNNP (ten Tusscher Noble Noble Panfilov) model for human cardiac tissue. In particular, we use the three-dimensional TNNP model with fiber rotation and consider both conduction and ionic inhomogeneities. We find that, in addition to displaying a sensitive dependence on the positions, sizes, and types of inhomogeneities, scroll-wave dynamics also depends delicately upon the degree of fiber rotation. We find that the tendency of scroll waves to anchor to cylindrical conduction inhomogeneities increases with the radius of the inhomogeneity. Furthermore, the filament of the scroll wave can exhibit drift or meandering, transmural bending, twisting, and break-up. If the scroll-wave filament exhibits weak meandering, then there is a fine balance between the anchoring of this wave at the inhomogeneity and a disruption of wave-pinning by fiber rotation. If this filament displays strong meandering, then again the anchoring is suppressed by fiber rotation; also, the scroll wave can be eliminated from most of the layers only to be regenerated by a seed wave. Ionic inhomogeneities can also lead to an anchoring of the scroll wave; scroll waves can now enter the region inside an ionic inhomogeneity and can display a coexistence of spatiotemporal chaos and quasi-periodic behavior in different parts of the simulation domain. We discuss the experimental implications of our study.

Nonlinear measures of QT interval series: novel indices of cardiac repolarization lability: MEDqthr and LLEqthr

In this study, we investigated nonlinear measures of chaos of QT interval time series in 28 normal control subjects, 36 patients with panic disorder and 18 patients with major depression in supine and standing postures. We obtained the minimum embedding dimension (MED) and the largest Lyapunov exponent (LLE) of instantaneous heart rate (HR) and QT interval series. MED quantifies the system's complexity and LLE predictability. There was a significantly lower MED and a significantly increased LLE of QT interval time series in patients. Most importantly, nonlinear indices of QT/HR time series, MEDqthr (MED of QT/HR) and LLEqthr (LLE of QT/HR), were highly significantly different between controls and both patient groups in either posture. Results remained the same even after adjusting for age. The increased LLE of QT interval time, series in patients with anxiety and depression is in line with our previous findings of higher QTvi (QT variability index, a log ratio of QT variability corrected for mean QT squared divided by heart rate variability corrected for mean heart rate squared) in these patients, using linear techniques. Increased LLEqthr (LLE of QT/HR) may be a more sensitive tool to study cardiac repolarization and a valuable addition to the time domain measures such as QTvi. This is especially important in light of the finding that LLEqthr correlated poorly and nonsignificantly with QTvi. These findings suggest an increase in relative cardiac sympathetic activity and a decrease in certain aspects of cardiac vagal function in patients with anxiety as well as depression. The lack of correlation between QTvi and LLEqthr suggests that this nonlinear index is a valuable addition to the linear measures. These findings may also help to explain the higher incidence of cardiovascular mortality in patients with anxiety and depressive disorders. (C) 2002 Elsevier Science Ireland Ltd. All rights reserved.

Nonequilibrium arrhythmic states and transitions in a mathematical model for diffuse fibrosis in human cardiac tissue

We present a comprehensive numerical study of spiral-and scroll-wave dynamics in a state-of-the-art mathematical model for human ventricular tissue with fiber rotation, transmural heterogeneity, myocytes, and fibroblasts. Our mathematical model introduces fibroblasts randomly, to mimic diffuse fibrosis, in the ten Tusscher-Noble-Noble-Panfilov (TNNP) model for human ventricular tissue; the passive fibroblasts in our model do not exhibit an action potential in the absence of coupling with myocytes; and we allow for a coupling between nearby myocytes and fibroblasts. Our study of a single myocyte-fibroblast (MF) composite, with a single myocyte coupled to N-f fibroblasts via a gap-junctional conductance G(gap), reveals five qualitatively different responses for this composite. Our investigations of two-dimensional domains with a random distribution of fibroblasts in a myocyte background reveal that, as the percentage P-f of fibroblasts increases, the conduction velocity of a plane wave decreases until there is conduction failure. If we consider spiral-wave dynamics in such a medium we find, in two dimensions, a variety of nonequilibrium states, temporally periodic, quasiperiodic, chaotic, and quiescent, and an intricate sequence of transitions between them; we also study the analogous sequence of transitions for three-dimensional scroll waves in a three-dimensional version of our mathematical model that includes both fiber rotation and transmural heterogeneity. We thus elucidate random-fibrosis-induced nonequilibrium transitions, which lead to conduction block for spiral waves in two dimensions and scroll waves in three dimensions. We explore possible experimental implications of our mathematical and numerical studies for plane-, spiral-, and scroll-wave dynamics in cardiac tissue with fibrosis.

Turbulent electrical activity at sharp-edged inexcitable obstacles in a model for human cardiac tissue

Wave propagation around various geometric expansions, structures, and obstacles in cardiac tissue may result in the formation of unidirectional block of wave propagation and the onset of reentrant arrhythmias in the heart. Therefore, we investigated the conditions under which reentrant spiral waves can be generated by high-frequency stimulation at sharp-edged obstacles in the ten Tusscher-Noble-Noble-Panfilov (TNNP) ionic model for human cardiac tissue. We show that, in a large range of parameters that account for the conductance of major inward and outward ionic currents of the model fast inward Na+ current (INa), L-type slow inward Ca2+ current (I-CaL), slow delayed-rectifier current (I-Ks), rapid delayed-rectifier current (I-Kr), inward rectifier K+ current (I-K1)], the critical period necessary for spiral formation is close to the period of a spiral wave rotating in the same tissue. We also show that there is a minimal size of the obstacle for which formation of spirals is possible; this size is similar to 2.5 cm and decreases with a decrease in the excitability of cardiac tissue. We show that other factors, such as the obstacle thickness and direction of wave propagation in relation to the obstacle, are of secondary importance and affect the conditions for spiral wave initiation only slightly. We also perform studies for obstacle shapes derived from experimental measurements of infarction scars and show that the formation of spiral waves there is facilitated by tissue remodeling around it. Overall, we demonstrate that the formation of reentrant sources around inexcitable obstacles is a potential mechanism for the onset of cardiac arrhythmias in the presence of a fast heart rate.

Monitorización avanzada en el posoperatorio de las cardiopatías congénitas : motorización hemodinámica avanzada en el posoperatorio de cardiopatías congénitas mediante termodilución transpulmonar y espectroscopia cercana al infrarrojo

196 p. : graf.

Novel equation to determine the hepatic triglyceride concentration in humans by MRI: diagnosis and monitoring of NAFLD in obese patients before and after bariatric surgery

Background: Non-alcoholic fatty liver disease (NAFLD) is caused by abnormal accumulation of lipids within liver cells. Its prevalence is increasing in developed countries in association with obesity, and it represents a risk factor for non-alcoholic steatohepatitis (NASH), cirrhosis and hepatocellular carcinoma. Since NAFLD is usually asymptomatic at diagnosis, new non-invasive approaches are needed to determine the hepatic lipid content in terms of diagnosis, treatment and control of disease progression. Here, we investigated the potential of magnetic resonance imaging (MRI) to quantitate and monitor the hepatic triglyceride concentration in humans. Methods: A prospective study of diagnostic accuracy was conducted among 129 consecutive adult patients (97 obesity and 32 non-obese) to compare multi-echo MRI fat fraction, grade of steatosis estimated by histopathology, and biochemical measurement of hepatic triglyceride concentration (that is, Folch value). Results: MRI fat fraction positively correlates with the grade of steatosis estimated on a 0 to 3 scale by histopathology. However, this correlation value was stronger when MRI fat fraction was linked to the Folch value, resulting in a novel equation to predict the hepatic triglyceride concentration (mg of triglycerides/g of liver tissue = 5.082 + (432.104 * multi-echo MRI fat fraction)). Validation of this formula in 31 additional patients (24 obese and 7 controls) resulted in robust correlation between the measured and estimated Folch values. Multivariate analysis showed that none of the variables investigated improves the Folch prediction capacity of the equation. Obese patients show increased steatosis compared to controls using MRI fat fraction and Folch value. Bariatric surgery improved MRI fat fraction values and the Folch value estimated in obese patients one year after surgery. Conclusions: Multi-echo MRI is an accurate approach to determine the hepatic lipid concentration by using our novel equation, representing an economic non-invasive method to diagnose and monitor steatosis in humans.

Construção de barreiras para diminuir as falhas nas mensurações glicêmicas realizadas pela enfermagem em pacientes críticos com insulina intravenosa

Esta pesquisa tem como objeto os fatores que influenciam a mensuração glicêmica realizada pela enfermagem em pacientes que recebem insulina contínua intravenosa utilizando glicosímetros portáteis à beira leito. Vários fatores podem influenciar a mensuração glicêmica, tais como a amostra sanguínea, a calibração do aparelho, a estocagem das fitas-teste, o hematócrito dos pacientes, o uso de vasoaminas e falhas do operador. A partir da Tese de que: A identificação dos fatores que influenciam a mensuração glicêmica realizada pela enfermagem através de glicosímetros é determinante para a eficiência das barreiras de salvaguarda voltadas para a minimização de falhas na sua execução, a fim de garantir resultados glicêmicos confiáveis e, consequentemente, realizar a titulação da insulina com segurança, teve-se como objetivo geral propor ações de enfermagem que funcionem como barreiras para diminuir as falhas nas mensurações glicêmicas realizadas pela enfermagem em pacientes que recebem infusão contínua de insulina. Espera-se contribuir com ações para garantir a adequação e o controle rigoroso da insulina administrada. Estudo observacional, transversal, prospectivo com abordagem quantitativa na análise dos dados, em uma unidade intensiva cirúrgica cardiológica de um hospital público do Rio de Janeiro. As variáveis do estudo foram submetidas a tratamentos estatísticos não paramétricos e às medidas de associação. Foram investigados 42 pacientes com observação de 417 glicemias. Predominaram pacientes do sexo feminino (57,14%), média de idade de 48 (15,85) anos, sem insuficiência renal e sem tratamento dialítico (90,48%). Observou-se PAM com média de 77(10,29) mmHg, uso de vasoaminas (80,95%), PaO2 ≥ 90mmHg em 85,71% e hematócrito <35% em 71,42%. Encontrou-se uma incidência de hipoglicemia de 35,7%, sendo a população dividida em dois grupos, o primeiro (G1) com pacientes que apresentaram hipoglicemia ≤ 60mg/dl (n=15), e o segundo (G2), com pacientes sem hipoglicemia (n=27). O hematócrito baixo foi a característica clínica que apresentou maior associação com a hipoglicemia. Pacientes com esta condição apresentaram 5,60 vezes mais risco de apresentarem hipoglicemia. O uso de vasoaminas elevou 3,3 vezes o risco de hipoglicemia em pacientes com estas medicações. A realização de cirurgias de emergência, a presença de insuficiência renal com tratamento dialítico, e a elevação da PaO2 acima de 90mmHg também apresentaram associação positiva com a hipoglicemia. Das 417 mensurações observadas, predominou o uso de amostra sanguínea de origem arterial. Observou-se que em todas as etapas da técnica de mensuração houve desvio de execução, com exceção de compressão da polpa digital. Os desvios observados que mostraram associação positiva (RR>1) para pacientes com hipoglicemia foram: a falta de calibração do glicosímetro, a falta de verificação da validade/integridade da fita teste, a falta da higienização das mãos e a falta da coleta de até 1 ml de sangue. Construiu-se uma revisão da técnica de mensuração glicêmica com enfoque nos fatores que podem comprometer o resultado glicêmico levando em conta o risco de hipoglicemia. Tornou-se evidente que a compreensão apropriada dos fatores que influenciam a glicemia e a mensuração glicêmica é indispensável para o enfermeiro na obtenção de resultados glicêmicos confiáveis, e assim, evitar erros na titulação das doses de insulina administrada.