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Printable Handouts
Navigable Slide Index
- Introduction
- Introduction to modeling Ca2+ signals
- Two fundamental questions in Ca2+ signaling research
- Outline
- Talk objectives
- Examples of Ca2+ signals
- Responses elicited by weak depolarization under voltage clamp
- Responses elicited by strong depolarization
- Modeling Ca2+ signals: the big picture
- Mathematical models: what they can do
- Mathematical models: what they can’t do
- Cycle of experiment and model development
- Steps in developing a Ca2+ signaling model
- Identify the relevant cell compartments and associated variables
- Define the relevant ‘dependent’ variables
- Define the relevant ‘independent’ variables
- Describe how the dependent variables change with time
- Equation relating [Ca2+] dynamics to intercompartmental Ca2+ fluxes
- Mathematical aside: the fundamental equation
- *Where does the fundamental equation come from?
- Contributions from calcium buffers
- If the fast buffer approximation is valid, the fundamental equation becomes modified
- *Derivation of the fundamental calcium dynamics equation (with a Ca2+ buffer)
- Differential buffering strength depends on Ca2+ concentration
- *[Ca2+]i-dependence of differential buffering strength
- *Multiple buffers: endogenous and exogenous
- Separate the intercompartmental Ca2+ fluxes into components
- Describe the macroscopic fluxes quantitatively
- Solve the resulting differential equation
- Qualitative properties of Ca2+ dynamics
- Steady-states and their stability
- Similar stability properties for a class of nonlinear models
- Relaxations to the steady-state
- Responses to stimulation
- *Detailed properties
- End of Part 1
Topics Covered
- Calcium signals
- Modeling calcium signals
- Development of dynamic calcium signaling models
- The fundamental equation
- Calcium buffers
- Deriving the fundamental calcium dynamics equation
- Calcium fluxes
Talk Citation
Friel, D. (2021, August 30). Modeling Ca2+ signals: understanding Ca2+ regulatory networks in cells: introduction and basic concepts [Video file]. In The Biomedical & Life Sciences Collection, Henry Stewart Talks. Retrieved December 21, 2024, from https://doi.org/10.69645/OHTG2512.Export Citation (RIS)
Publication History
Financial Disclosures
- Dr. David Friel has not informed HSTalks of any commercial/financial relationship that it is appropriate to disclose.
Modeling Ca2+ signals: understanding Ca2+ regulatory networks in cells: introduction and basic concepts
Published on August 30, 2021
43 min
A selection of talks on Cell Biology
Transcript
Please wait while the transcript is being prepared...
0:00
This is a presentation on modeling calcium signals,
understanding calcium regulatory networks in cells.
My name is David Friel from the Department of Neurosciences at Case Western Reserve University.
My research focuses on calcium signaling in excitable cells,
most recently focusing on the impact of calcium channel mutations on chemical
and electrical signaling, in cells within the cerebellar cortex that participate in motor control.
0:26
Calcium is important in all cells, where it serves both as a charge carrier, and
as a chemical signal that regulates a variety of cellular processes.
As a chemical signal, calcium acts by binding to, and altering the state of, various effector proteins.
For this rôle, the level of binding site occupancy is critical.
Binding site occupancy depends on two things:
intrinsic properties of calcium-binding proteins,
which dictate how rapidly they bind and unbind calcium;
and the free calcium concentration and its history.
Given the importance of the free calcium concentration,
it's not surprising that it is tightly regulated.
For this purpose, cells use a variety of channels, pumps and exchangers -
referred to here collectively as 'transporters' -
to control it both spatially and temporally.
1:14
There are two fundamental questions in calcium-signaling research.
First, how are calcium signals produced?
More specifically, what determines the evolution of the calcium concentration in time and space?
Second, once they are produced, how are calcium signals translated into cellular effects?
In this presentation, we will be concerned mainly with question number one.
The listener is referred to other presentations in this series for
a discussion of physiological processes that are regulated by calcium,
such as muscle contraction, secretion, membrane excitability, gene expression, and so on.
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