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Synchronization of non-linear biochemical oscillators coupled by diffusion

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/jez.1401200307openalex-snapshot
Some effects on cell division in Pelomyxa carolinensis following x‐irradiation, treatment with bis (β‐chloroethyl)‐methyl amine and experimental plasmogamy (fusion)
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R. Abraham and J. Robbin, Transversal Mappings and Flows. X + 161 S. m. Fig. New York/Amsterdam 1967. W. A. Benjamin, Inc. Preis geb. $ 12,50
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Stability of Motion
inferredcites →https://doi.org/10.1007/bf01896546openalex-snapshot
Synchronization of mitosis inPhysarum polycephalum by coalescence of postmitotic and premitotic plasmodial fragments
inferredcites →https://doi.org/10.1007/bf02458601openalex-snapshot
Measuring a mitotic oscillator: The ARC discontinuity
inferredcites →https://doi.org/10.1016/0005-2728(71)90003-xopenalex-snapshot
Adenine nucleotide control of heart mitochondrial oscillations
inferredcites →https://doi.org/10.1016/0014-4827(72)90099-7openalex-snapshot
Initiation of synchronous mitosis in Physarum polycephalum
inferredcites →https://doi.org/10.1016/0022-0396(68)90015-6openalex-snapshot
The bifurcation of one or more closed orbits from an equilibrium point of an autonomous differential system
inferredcites →https://doi.org/10.1016/0022-5193(73)90068-4openalex-snapshot
The behaviour of coupled biochemical oscillators as a model of contact inhibition of cellular division
inferredcites →https://doi.org/10.1016/s0003-9861(66)81046-9openalex-snapshot
Reduced diphosphopyridine nucleotide oscillations in cell-free extracts from beef heart
inferredcites →https://doi.org/10.1038/225159a0openalex-snapshot
Mammalian Cell Fusion : Studies on the Regulation of DNA Synthesis and Mitosis
inferredcites →https://doi.org/10.1038/225535b0openalex-snapshot
Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System
inferredcites →https://doi.org/10.1038/226717a0openalex-snapshot
Mammalian Cell Fusion : Induction of Premature Chromosome Condensation in Interphase Nuclei
inferredcites →https://doi.org/10.1063/1.1677471openalex-snapshot
Localized Spatial Structures and Nonlinear Chemical Waves in Dissipative Systems
inferredcites →https://doi.org/10.1073/pnas.55.4.888openalex-snapshot
Sustained sinusoidal oscillations of reduced pyridine nucleotide in a cell-free extract of Saccharomyces carlsbergensis.
inferredcites →https://doi.org/10.1073/pnas.57.3.607openalex-snapshot
MACRONUCLEAR DNA SYNTHESIS IN Stentor : REGULATION BY A CYTOPLASMIC INITIATOR
inferredcites →https://doi.org/10.1090/s0002-9939-1964-0166452-8openalex-snapshot
Nonlinear Differential Equations with Forcing Terms
inferredcites →https://doi.org/10.1111/j.1432-1033.1968.tb00175.xopenalex-snapshot
Self‐Oscillations in Glycolysis 1. A Simple Kinetic Model
inferredcites →https://doi.org/10.2307/2315010openalex-snapshot
Stability and Asymptotic Behavior of Differential Equations.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Heart Rate Variability in Normal Adults
inferred← citeshttps://doi.org/10.1007/978-3-642-45589-6_18openalex-snapshot
Turing Structures, Periodic and Chaotic Regimes in Coupled Cells
inferred← citeshttps://doi.org/10.1007/978-3-642-69888-0_12openalex-snapshot
Population Models and Community Structure in Heterogeneous Environments
inferred← citeshttps://doi.org/10.1007/bf00169564openalex-snapshot
Anti-phase solutions in relaxation oscillators coupled through excitatory interactions
inferred← citeshttps://doi.org/10.1007/bf00276105openalex-snapshot
Spatial patterns in coupled biochemical oscillators
inferred← citeshttps://doi.org/10.1007/bf00276558openalex-snapshot
The behavior of rings of coupled oscillators
inferred← citeshttps://doi.org/10.1007/bf00276928openalex-snapshot
Mutually synchronized relaxation oscillators as prototypes of oscillating systems in biology
inferred← citeshttps://doi.org/10.1007/bf00365472openalex-snapshot
Synergism and antagonism of neurons caused by an electrical synapse
inferred← citeshttps://doi.org/10.1007/bf02459419openalex-snapshot
Mode analysis of physiological oscillators intercoupled via pure time delays
inferred← citeshttps://doi.org/10.1007/bf02462016openalex-snapshot
The mathematical modeling of entrained biological oscillators
inferred← citeshttps://doi.org/10.1007/bf02746463openalex-snapshot
A necessary-sufficient condition for synchronization of nonlinear oscillators
inferred← citeshttps://doi.org/10.1007/bfb0062363openalex-snapshot
Asymptotic methods in mathematical biology
inferred← citeshttps://doi.org/10.1007/s11538-020-00841-9openalex-snapshot
Calcium Dynamics and Water Transport in Salivary Acinar Cells
inferred← citeshttps://doi.org/10.1016/0022-5193(76)90104-1openalex-snapshot
A theory of synchronization of heart pace-maker cells
inferred← citeshttps://doi.org/10.1016/s0167-2789(01)00143-9openalex-snapshot
Dynamical behavior in linearly coupled Oregonators
inferred← citeshttps://doi.org/10.1038/srep05269openalex-snapshot
Competition and cooperation between active intra-network and passive extra-network transport processes
inferred← citeshttps://doi.org/10.1063/1.1342161openalex-snapshot
A bifurcation analysis of two coupled calcium oscillators
inferred← citeshttps://doi.org/10.1080/09291018309359806openalex-snapshot
Quasi‐entrainment and other modal behavior in BVP oscillators interconnected by activity dependent coupling
inferred← citeshttps://doi.org/10.1103/physreve.71.066211openalex-snapshot
Excitation functions of coupling
inferred← citeshttps://doi.org/10.1109/tbme.1977.326143openalex-snapshot
Frequency Entrainment of Coupled Hodgkin-Huxley-Type Oscillators for Modeling Gastro-Intestinal Electrical Activity
inferred← citeshttps://doi.org/10.1109/tcs.1977.1084326openalex-snapshot
Necessary and sufficient conditions for synchronization of nonlinear oscillators with a given class of coupling
inferred← citeshttps://doi.org/10.1111/j.1432-0436.1984.tb00260.xopenalex-snapshot
A frequency difference in optical-density oscillations of early Dictyostelium discoideum density classes and its implications for development
inferred← citeshttps://doi.org/10.1142/s0218127406015362openalex-snapshot
COHERENT SYNCHRONIZATION IN LINEARLY COUPLED NONLINEAR SYSTEMS
inferred← citeshttps://doi.org/10.2977/prims/1195179840openalex-snapshot
Stability Changes of Periodic Solutions to a Coupled Nonlinear Equation with Time Delay
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