#### Filter Results:

- Full text PDF available (9)

#### Publication Year

2006

2016

- This year (0)
- Last 5 years (9)
- Last 10 years (15)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

#### Method

Learn More

- Michael Nivala, Christopher Y Ko, Melissa Nivala, James N Weiss, Zhilin Qu
- Biophysical journal
- 2012

Calcium (Ca) is a ubiquitous second messenger that regulates many biological functions. The elementary events of local Ca signaling are Ca sparks, which occur randomly in time and space, and integrate to produce global signaling events such as intra- and intercellular Ca waves and whole-cell Ca oscillations. Despite extensive experimental characterization… (More)

- Nathaniel Bottman, Bernard Deconinck, Michael Nivala
- 2011

The stability of the stationary periodic solutions of the integrable (onedimensional, cubic) defocusing nonlinear Schrödinger (NLS) equation is reasonably well understood, especially for solutions of small amplitude. In this paper, we exploit the integrability of the NLS equation to establish the spectral stability of all such stationary solutions, this… (More)

- James N Weiss, Michael Nivala, Alan Garfinkel, Zhilin Qu
- Circulation research
- 2011

The goal of systems biology is to relate events at the molecular level to more integrated scales from organelle to cell, tissue, and living organism. Here, we review how normal and abnormal excitation-contraction coupling properties emerge from the protein scale, where behaviors are dominated by randomness, to the cell and tissue scales, where heart has to… (More)

- Arash Pezhouman, Neha Singh, +9 authors James N Weiss
- Circulation
- 2015

BACKGROUND
Hypokalemia is known to promote ventricular arrhythmias, especially in combination with class III antiarrhythmic drugs like dofetilide. Here, we evaluated the underlying molecular mechanisms.
METHODS AND RESULTS
Arrhythmias were recorded in isolated rabbit and rat hearts or patch-clamped ventricular myocytes exposed to hypokalemia (1.0-3.5… (More)

- Michael Nivala, Enno de Lange, Robert Rovetti, Zhilin Qu
- Front. Physio.
- 2012

Intracellular calcium (Ca) cycling dynamics in cardiac myocytes is regulated by a complex network of spatially distributed organelles, such as sarcoplasmic reticulum (SR), mitochondria, and myofibrils. In this study, we present a mathematical model of intracellular Ca cycling and numerical and computational methods for computer simulations. The model… (More)

- Zhen Song, Christopher Y Ko, Michael Nivala, James N Weiss, Zhilin Qu
- Biophysical journal
- 2015

Early afterdepolarizations (EADs) and delayed afterdepolarizations (DADs) are voltage oscillations known to cause cardiac arrhythmias. EADs are mainly driven by voltage oscillations in the repolarizing phase of the action potential (AP), while DADs are driven by spontaneous calcium (Ca) release during diastole. Because voltage and Ca are bidirectionally… (More)

- Melissa Nivala, Paavo Korge, Michael Nivala, James N Weiss, Zhilin Qu
- Biophysical journal
- 2011

It has been shown that transient single mitochondrial depolarizations, known as flickers, tend to occur randomly in space and time. On the other hand, many studies have shown that mitochondrial depolarization waves and whole-cell oscillations occur under oxidative stress. How single mitochondrial flickering events and whole-cell oscillations are… (More)

The stability of periodic solutions of partial differential equations has been an area of increasing interest in the last decade. In this paper, we derive all periodic traveling wave solutions of the focusing and defocusing mKdV equations. We show that in the defocusing case all such solutions are orbitally stable with respect to subharmonic perturbations:… (More)

The stability of periodic solutions of partial differential equations has been an area of increasing interest in the last decade. The KdV equation is known to have large families of periodic solutions that are parameterized by hyperelliptic Riemann surfaces. They are generalizations of the famous multi-soliton solutions. We show that all such periodic… (More)

- Bernard Deconinck, Michael Nivala
- Mathematics and Computers in Simulation
- 2009