Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

BIBO stability of continuous and discrete -time systems

BIBO stability of continuous and discrete -time systems

System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system.

Bewley Lattice Diagram

Bewley Lattice Diagram

The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.

Standing Waves in a Cavity

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

Travelling Waves

Travelling Waves

A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is water;...

Standing Waves

Standing Waves

Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...

Classification of Systems-II

Classification of Systems-II

Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Noise-induced bimodality in self-regulated gene networks with nonlinear promoter transitions and fast dimerization.

Journal of mathematical biology·2026

Same author

Modelling the role of STIM1 and STIM2 in <math><msup><mtext>Ca</mtext> <mrow><mtext>2</mtext> <mo>+</mo></mrow></msup></math> oscillations in T-lymphocytes.

Bulletin of mathematical biology·2025

Same author

Calcium oscillations in HEK293 cells lacking SOCE suggest the existence of a balanced regulation of IP<sub>3</sub> production and degradation.

Frontiers in systems biology·2025

Same author

Slow passage through a saddle-node bifurcation in discrete dynamical systems.

Chaos (Woodbury, N.Y.)·2025

Same author

A Ca<sup>2+</sup> puff model based on integrodifferential equations.

Journal of mathematical biology·2025

Same author

A Model for the Coexistence of Competing Mechanisms for <math></math> Oscillations in T-lymphocytes.

Bulletin of mathematical biology·2024

Search research articles

Related Experiment Video

Updated: Jul 14, 2026

Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy

Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy

Published on: May 27, 2018

Traveling waves in the discrete fast buffered bistable system.

Je-Chiang Tsai¹, James Sneyd

¹Department of Mathematics, National Chung Cheng University, 168, University Road, Min-Hsiung, Chia-Yi 621, Taiwan. tsaijc@math.ccu.edu.tw

Journal of Mathematical Biology

|May 29, 2007

Summary

This study proves the existence and uniqueness of stable traveling waves in discrete buffered bistable equations, crucial for modeling cell signaling and wave propagation phenomena.

More Related Videos

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Published on: August 15, 2014

High-precision Electromagnetic Flowmeter with Empty Pipe Detection via Complex Programmable Logic Device-based Waveform Recognition

High-precision Electromagnetic Flowmeter with Empty Pipe Detection via Complex Programmable Logic Device-based Waveform Recognition

Published on: June 27, 2025

Related Experiment Videos

Last Updated: Jul 14, 2026

Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy

Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy

Published on: May 27, 2018

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Published on: August 15, 2014

High-precision Electromagnetic Flowmeter with Empty Pipe Detection via Complex Programmable Logic Device-based Waveform Recognition

High-precision Electromagnetic Flowmeter with Empty Pipe Detection via Complex Programmable Logic Device-based Waveform Recognition

Published on: June 27, 2025

Area of Science:

Mathematical Biology
Computational Neuroscience
Physical Chemistry

Background:

Buffered excitable systems model biological wave propagation, such as calcium waves.
Discrete models are essential for simulating wave dynamics across cellular networks.

Purpose of the Study:

To investigate the existence and uniqueness of traveling wave solutions.
To analyze the stability of these wave solutions in a discrete buffered bistable system.

Main Methods:

Derivation of necessary conditions for wave existence.
Development of sufficient conditions under specific technical assumptions.
Analysis of wave stability.

Main Results:

Established necessary conditions for the existence of traveling waves.
Provided sufficient conditions for wave existence, contingent on technical assumptions.
Demonstrated that existing waves are unique and stable.

Conclusions:

Traveling wave solutions exist and are unique in the studied discrete buffered bistable equation.
The derived conditions offer a theoretical framework for understanding wave propagation in discrete biological systems.