Response of an oscillatory differential delay equation to a single stimulus
From MaRDI portal
Publication:527279
DOI10.1007/s00285-016-1051-zzbMath1393.92009arXiv1510.05780OpenAlexW1818857369WikidataQ50585146 ScholiaQ50585146MaRDI QIDQ527279
Hans-Otto Walther, Marta Tyran-Kamińska, Michael C. Mackey
Publication date: 11 May 2017
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.05780
Medical applications (general) (92C50) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Cell biology (92C37) Biological rhythms and synchronization (92B25) Perturbations of functional-differential equations (34K27)
Related Items
Multi-cycle periodic solutions of a differential equation with delay that switches periodically, Response of an oscillatory differential delay equation to a periodic stimulus
Cites Work
- Unnamed Item
- Unnamed Item
- Gompertz model with delays and treatment: mathematical analysis
- Phase reduction of weakly perturbed limit cycle oscillations in time-delay systems
- Periodic auto-immune hemolytic anemia: An induced dynamical disease
- Pulse coupled oscillators and the phase resetting curve
- Dynamic hematological disease: a review
- Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
- Understanding cyclical thrombocytopenia: a mathematical modeling approach
- Delay equations. Functional-, complex-, and nonlinear analysis
- Existence and stability of oscillating solutions for a class of delay differential equations
- Logistic type equations with discrete delay and quasi-periodic suppression rate
- Apparent discontinuities in the phase-resetting response of cardiac pacemakers
- A mathematical model of hematopoiesis. I: Periodic chronic myelogenous leukemia
- Topics in delay differential equations
- Understanding, treating and avoiding hematological disease: better medicine through mathematics?
- Cyclical Thrombocytopenia: Characterization by Spectral Analysis and a Review
- Logistic Tumor Growth with Delay and Impulsive Treatment
- Logistic Equation with Treatment Function and Discrete Delays
- Observations on the Pathophysiology and Mechanisms for Cyclic Neutropenia