Winfried Just,Mason Korb,Ben Elbert et al.
Winfried Just et al.
In cases where the same real-world system can be modeled both by an ODE system ⅅ and a Boolean system
Amanda Galante,Doron Levy
Amanda Galante
Recently we developed a stochastic particle system describing local interactions between cyanobacteria. We focused on the common freshwater cyanobacteria Synechocystis sp., which are coccoidal bacteria that utilize group dynamics to move to...
Erik Plahte,Arne B Gjuvsland,Stig W Omholt
Erik Plahte
A future quantitative genetics theory should link genetic variation to phenotypic variation in a causally cohesive way based on how genes actually work and interact. We provide a theoretical framework for predicting and understanding the ma...
Franz Achleitner,Peter Szmolyan
Franz Achleitner
Traveling wave solutions of viscous conservation laws, that are associated to Lax shocks of the inviscid equation, have generically a transversal viscous profile. In the case of a non-transversal viscous profile we show by using Melnikov th...
Dynamical quorum-sensing in oscillators coupled through an external medium [0.03%]
震荡器通过外部介质耦合的动力学表决感测现象
David J Schwab,Ania Baetica,Pankaj Mehta
David J Schwab
Many biological and physical systems exhibit population-density dependent transitions to synchronized oscillations in a process often termed "dynamical quorum sensing". Synchronization frequently arises through chemical communication via si...
Sungwoo Ahn,Brian H Smith,Alla Borisyuk et al.
Sungwoo Ahn et al.
We develop mathematical techniques for analyzing detailed Hodgkin-Huxley like models for excitatory-inhibitory neuronal networks. Our strategy for studying a given network is to first reduce it to a discrete-time dynamical system. The discr...
Christian W Zemlin,Bogdan G Mitrea,Arkady M Pertsov
Christian W Zemlin
Most commonly, atrial fibrillation is triggered by rapid bursts of electrical impulses originating in the myocardial sleeves of pulmonary veins (PVs). However, the nature of such bursts remains poorly understood. Here, we propose a mechanis...
Variational Bayesian identification and prediction of stochastic nonlinear dynamic causal models [0.03%]
变分贝叶斯非线性随机动态因果模型识别与预测
J Daunizeau,K J Friston,S J Kiebel
J Daunizeau
In this paper, we describe a general variational Bayesian approach for approximate inference on nonlinear stochastic dynamic models. This scheme extends established approximate inference on hidden-states to cover: (i) nonlinear evolution an...
David Terman,Sungwoo Ahn,Xueying Wang et al.
David Terman et al.
We consider a general class of purely inhibitory and excitatory-inhibitory neuronal networks, with a general class of network architectures, and characterize the complex firing patterns that emerge. Our strategy for studying these networks ...
Abdul Salam Jarrah,Blessilda Raposa,Reinhard Laubenbacher
Abdul Salam Jarrah
This paper focuses on the study of certain classes of Boolean functions that have appeared in several different contexts. Nested canalyzing functions have been studied recently in the context of Boolean network models of gene regulatory net...