#### Filter Results:

- Full text PDF available (60)

#### Publication Year

1998

2018

- This year (7)
- Last 5 years (35)
- Last 10 years (57)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Brain Region

#### Cell Type

#### Method

#### Organism

Learn More

We extend previous work on injectivity in chemical reaction networks to general interaction networks. Matrixand graph-theoretic conditions for injectivity of these systems are presented. A particularâ€¦ (More)

- Qi Chen, Luan Jiang, +4 authors Jiu-lin Du
- PLoS biology
- 2012

The brain blood vasculature consists of a highly ramified vessel network that is tailored to meet its physiological functions. How the brain vasculature is formed has long been fascinatingâ€¦ (More)

In this article, we study numerically a one-dimensional model of dispersive wave turbulence. The article begins with a description of the model which we introduced earlier, followed by a conciseâ€¦ (More)

We present a detailed theoretical framework for statistical descriptions of neuronal networks and derive (1+1)-dimensional kinetic equations, without introducing any new parameters, directly fromâ€¦ (More)

- Aaditya V. Rangan, David Cai
- Physical review letters
- 2006

We analyze (1 + 1)D kinetic equations for neuronal network dynamics, which are derived via an intuitive closure from a Boltzmann-like equation governing the evolution of a one-particle (i.e.,â€¦ (More)

- Aaditya V. Rangan, David Cai
- Journal of Computational Neuroscience
- 2006

We discuss numerical methods for simulating large-scale, integrate-and-fire (I&F) neuronal networks. Important elements in our numerical methods are (i) a neurophysiologically inspired integratingâ€¦ (More)

- Aaditya V. Rangan, David Cai, David W. McLaughlin
- Proceedings of the National Academy of Sciencesâ€¦
- 2005

Our large-scale computational model of the primary visual cortex that incorporates orientation-specific, long-range couplings with slow NMDA conductances operates in a fluctuating dynamic state ofâ€¦ (More)

It has been hypothesized that topological structures of biological transport networks are consequences of energy optimization. Motivated by experimental observation, we propose that adaptationâ€¦ (More)

In this article we use one-dimensional nonlinear SchrÃ¶dinger equations ~NLS! to illustrate chaotic and turbulent behavior of nonlinear dispersive waves. It begins with a brief summary of propertiesâ€¦ (More)

- Douglas Zhou, Yi Sun, Aaditya V. Rangan, David Cai
- Journal of Computational Neuroscience
- 2009

We discuss how to characterize long-time dynamics of non-smooth dynamical systems, such as integrate-and-fire (I&F) like neuronal network, using Lyapunov exponents and present a stable numericalâ€¦ (More)