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Related Concept Videos

Types of Responses of Series RLC Circuits01:11

Types of Responses of Series RLC Circuits

A second-order differential equation characterizes a source-free series RLC circuit, marking its distinct mathematical representation. The complete solution of this equation is a blend of two unique solutions, each linked to the circuit's roots expressed in terms of the damping factor and resonant frequency.
Series RLC Circuit with Source01:12

Series RLC Circuit with Source

Consider the operation of an automobile ignition system, a crucial component responsible for generating a spark by producing high voltage from the battery. This system can be described as a simple series RLC circuit, allowing for an in-depth analysis of its complete response.
In this context, the input DC voltage serves as a forcing step function, resulting in a forced step response that mirrors the characteristics of the input. Applying Kirchhoff's voltage law to the circuit yields a...
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Series RLC Circuit without Source01:21

Series RLC Circuit without Source

Within the field of electrical circuits, source-free RLC circuits present an intriguing domain. These circuits comprise a series arrangement of a resistor, inductor, and capacitor, operating independently of external energy sources. Their initiation hinges upon utilizing the initial energy stored within the capacitor and inductor to instigate their functionality. Their mathematical equation, a second-order differential equation, sets these circuits apart. This equation captures how the...
Classification of Systems-II01:31

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,
Second-Order Circuits01:17

Second-Order Circuits

Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...

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Dynamics of excitable elements with time-delayed coupling.

S Rüdiger1, L Schimansky-Geier

  • 1Institut of Physics, Humboldt University, Berlin, Germany. sten.ruediger@physik.hu-berlin.de

Journal of Theoretical Biology
|May 30, 2009
PubMed
Summary
This summary is machine-generated.

Temporal delay in coupling mechanisms can sustain activity in excitable elements, mimicking intracellular calcium release. This finding explains observed release modes in calcium systems.

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Area of Science:

  • Biophysics
  • Cellular Dynamics
  • Calcium Signaling

Background:

  • Intracellular calcium release is crucial for cellular processes.
  • Recent experiments highlight complex dynamics in excitable element arrays.
  • Understanding sustained activity following a spike is key.

Purpose of the Study:

  • Investigate coupling effects on excitable element array dynamics.
  • Identify mechanisms for sustained activity post-spike.
  • Explain observed release modes in calcium (Ca2+) systems.

Main Methods:

  • Modeling arrays of excitable elements.
  • Comparing instantaneous diffusive coupling with time-delayed coupling.
  • Analyzing signal propagation and duration.

Main Results:

  • Instantaneous diffusive coupling does not produce sustained activity.
  • Time-delayed coupling enables mutual excitation between elements.
  • Delayed coupling prolongs signal duration.

Conclusions:

  • Time-delayed coupling is a potential mechanism for sustained activity in excitable systems.
  • This delay may arise from diffusion between calcium channel clusters.
  • The model offers an explanation for dual release modes in Ca2+ signaling.