Results 11 to 20 of about 139,067 (282)
Parameter Synthesis in Nonlinear Dynamical Systems: Application to Systems Biology [PDF]
Journal of Computational Biology, 2010 The dynamics of biological processes are often modeled as systems of nonlinear ordinary differential equations (ODE). An important feature of nonlinear ODEs is that seemingly minor changes in initial conditions or parameters can lead to radically different behaviors.
Alexandre, Donzé +2 more
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Dark Type Dynamical Systems: The Integrability Algorithm and Applications
Algorithms, 2022 Based on a devised gradient-holonomic integrability testing algorithm, we analyze a class of dark type nonlinear dynamical systems on spatially one-dimensional functional manifolds possessing hidden symmetry properties and allowing their linearization on
Yarema A. Prykarpatsky +3 more
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Global entrainment of transcriptional systems to periodic inputs. [PDF]
PLoS Computational Biology, 2010 This paper addresses the problem of providing mathematical conditions that allow one to ensure that biological networks, such as transcriptional systems, can be globally entrained to external periodic inputs.
Giovanni Russo +2 more
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Dynamical systems, attractors, and neural circuits [version 1; referees: 3 approved]
F1000Research, 2016 Biology is the study of dynamical systems. Yet most of us working in biology have limited pedagogical training in the theory of dynamical systems, an unfortunate historical fact that can be remedied for future generations of life scientists.
Paul Miller
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Monotone Control Systems [PDF]
, 2002 Monotone systems constitute one of the most important classes of dynamical systems used in mathematical biology modeling. The objective of this paper is to extend the notion of monotonicity to systems with inputs and outputs, a necessary first step in ...
Angeli, David, Sontag, Eduardo D.
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The challenges facing systemic approaches in biology: an interview with Kunihiko Kaneko
Frontiers in Physiology, 2011 Interviewed by Kumar Selvarajoo and Masa Tsuchiya at Institute for Advanced Biosciences, Keio University, Japan, I discuss my approach to biology, what I call complex-systems biology.
Kunihiko eKaneko
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A signaling visualization toolkit to support rational design of combination therapies and biomarker discovery: SiViT [PDF]
, 2016 Targeted cancer therapy aims to disrupt aberrant cellular signalling pathways. Biomarkers are surrogates of pathway state, but there is limited success in translating candidate biomarkers to clinical practice due to the intrinsic complexity of pathway ...
Boiko, Andrei +6 more
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DOTcvpSB, a software toolbox for dynamic optimization in systems biology [PDF]
BMC Bioinformatics, 2009 Abstract Background Mathematical optimization aims to make a system or design as effective or functional as possible, computing the quality of the different alternatives using a mathematical model. Most models in systems biology have a dynamic nature, usually described by sets of differential equations.
Hirmajer, Tomáš +2 more
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PLoS Computational Biology, 2020 Evolutionarily conserved mechanisms maintain homeostasis of essential elements, and are believed to be highly time-variant. However, current approaches measure elemental biomarkers at a few discrete time-points, ignoring complex higher-order dynamical ...
Paul Curtin +9 more
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Topology Protects Chiral Edge Currents in Stochastic Systems
Physical Review X, 2021 Constructing systems that exhibit timescales much longer than those of the underlying components, as well as emergent dynamical and collective behavior, is a key goal in fields such as synthetic biology and materials self-assembly.
Evelyn Tang +2 more
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