Time Function
Time Function - Related Videos
13:32
Recording Human Electrocorticographic (ECoG) Signals for Neuroscientific Research and Real-time Functional Cortical Mapping
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Cited by 134 •
2012
We present a method for collecting electrocorticographic signals for research purposes from humans who are undergoing invasive epilepsy monitoring. We show how to use the BCI2000 software platform for data collection, signal processing and stimulus presentation. Specifically, we demonstrate SIGFRIED, a BCI2000-based tool for real-time functional brain mapping.
08:27
Real-Time, Noninvasive Evaluation of Mitochondrial Function Using Resonance Raman Spectroscopy
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2026
We present a noninvasive, real-time method for monitoring mitochondrial health using Resonance Raman Spectroscopy (RRS). We used RRS to quantify mitochondrial redox states and developed a metric for mitochondrial health, the Resonance Raman reduced mitochondrial ratio (3RMR), which shows a faster response to changes in oxygenation than traditional blood-gas analytes.
08:33
Measuring Nucleotide Binding to Intact, Functional Membrane Proteins in Real Time
0 Views •
Cited by 3 •
2021
This protocol presents a method for measuring adenine nucleotide binding to receptors in real time in a cellular environment. Binding is measured as Förster resonance energy transfer (FRET) between trinitrophenyl nucleotide derivatives and protein labeled with a non-canonical, fluorescent amino acid.
09:57
Ultrafast Time-resolved Near-IR Stimulated Raman Measurements of Functional π-conjugate Systems
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2020
Details of signal generation and optimization, measurement, data acquisition, and data handling for a femtosecond time-resolved near-IR stimulated Raman spectrometer are described. A near infrared stimulated Raman study on the excited-state dynamics of β-carotene in toluene is shown as a representative application.
08:59
Real-Time Fluorescent Measurement of Synaptic Functions in Models of Amyotrophic Lateral Sclerosis
0 Views •
Cited by 3 •
2021
Two related methods are described to visualize subcellular events required for synaptic transmission. These protocols enable the real-time monitoring of the dynamics of presynaptic calcium influx and synaptic vesicle membrane fusion using live-cell imaging of in vitro cultured neurons.
FAQs
A time function becomes analytically useful when engineers differentiate it: the first derivative expresses a rate of change, while higher-order derivatives can describe successive changes. Differential equations then relate the time-varying quantity to system behavior. This combination supports mathematical analysis of dynamics rather than merely recording values, helping engineers examine how a system responds as time progresses.
Transient and steady-state responses separate two useful views of a system's time-dependent behavior. Transient analysis focuses on the response while it is changing, whereas steady-state analysis considers behavior after that response has settled. Comparing these forms helps engineers distinguish temporary effects from persistent operating behavior when interpreting models or evaluating performance.
A signal represented over time reveals how its value varies, allowing engineers to examine changing behavior rather than only a single measurement. In control-system analysis, the same representation supports evaluation of system performance and stability. This makes the time-domain description useful for understanding whether a system's response remains consistent with intended behavior as time progresses.
Applying a time function typically begins with selecting the engineering quantity of interest, such as displacement, temperature, voltage, or pressure. Engineers then express its variation mathematically, use derivatives or differential equations to analyze behavior, and may simulate the resulting response. The outcome can inform measurement interpretation and design decisions for the dynamic system under study.
A measured time variation can be represented mathematically so engineers can interpret observed changes and compare them with a modeled response. Simulation extends this analysis by allowing system behavior to be examined through the mathematical representation. Together, measurement interpretation and simulation support evaluation of dynamic behavior and provide evidence for engineering design decisions.
Its usefulness is not limited to one physical variable or field. Across mechanical, electrical, civil, and chemical engineering, a time function provides a common way to analyze changing quantities and system responses. By applying the same mathematical framework to variables such as displacement, temperature, voltage, or pressure, engineers can support discipline-specific analysis and design decisions.