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Titlebook: Applications of Dynamical Systems in Biology and Medicine; Trachette Jackson,Ami Radunskaya Conference proceedings 2015 Springer Science+B

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Injury-Initiated Clot Formation Under Flow: A Mathematical Model with Warfarin Treatment,ombus is large enough to impede blood flow. If an individual is considered to be at risk for forming a thrombus, he/she may be prophylactically treated with anticoagulant medication such as warfarin. When an individual is treated with warfarin, a blood test that measures clotting times must be perfo
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Clustering in Inhibitory Neural Networks with Nearest Neighbor Coupling,ase model analysis to study the existence and stability of cluster solutions. In particular, we describe cluster solutions which exist for any type of oscillator, coupling and connectivity. We derive conditions for the stability of these solutions in the case where each neuron is coupled to its two
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Modeling Sympatric Speciation in Quasiperiodic Environments,s an interesting problem for theoretical studies of evolution. One mechanism by which sympatric speciation might occur is periodic or quasiperiodic fluctuations in the abundance of the resources. In this paper inspired by the experimental findings of (Herron and Doebeli, PLoS Biol. 11, p. e1001490,
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A Stochastic Model of the Melanopsin Phototransduction Cascade,ls (ipRGCs), whose signaling has been implicated in non-image forming vision, regulating such functions as circadian rhythms, pupillary light reflex, and sleep. The biochemical cascade underlying the light response in ipRGCs has not yet been fully elucidated. We developed a stochastic model of the h
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