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Mean free path and Mean free time01:22

Mean free path and Mean free time

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Consider the gas molecules in a cylinder. They move in a random motion as they collide with each other and change speed and direction. The average of all the path lengths between collisions is known as the "mean free path."
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Path Between Thermodynamics States01:21

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Although gaseous molecules travel at tremendous speeds (hundreds of meters per second), they collide with other gaseous molecules and travel in many different directions before reaching the desired target. At room temperature, a gaseous molecule will experience billions of collisions per second. The mean free path is the average distance a molecule travels between collisions. The mean free path increases with decreasing pressure; in general, the mean free path for a gaseous molecule will be...
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Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
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Salts with Acidic Ions
Salts are ionic compounds composed of cations and anions, either of which may be capable of undergoing an acid or base ionization reaction with water. Aqueous salt solutions, therefore, may be acidic, basic, or neutral, depending on the relative acid-base strengths of the salt’s constituent ions. For example, dissolving the ammonium chloride in water results in its dissociation, as described by the equation:
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Related Experiment Video

Updated: Jan 26, 2026

Ex Vivo Expansion of Hematopoietic Stem Cells from Human Umbilical Cord Blood-derived CD34+ Cells Using Valproic Acid
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Valproic Acid Leads New Neurons Down the Wrong Path.

Steve C Danzer

    Epilepsy Currents
    |April 9, 2019
    PubMed
    Summary

    Prenatal exposure to antiepileptic drugs (AEDs) like valproic acid (VPA) can increase seizure susceptibility in adult mice by disrupting newborn neuron migration. Voluntary exercise can counteract these effects by normalizing gene expression and neuronal positioning.

    Area of Science:

    • Neuroscience
    • Developmental Neuroscience
    • Epilepsy Research

    Background:

    • Epilepsy affects approximately 0.7% of pregnant women, often managed with antiepileptic drugs (AEDs) like valproic acid (VPA).
    • Prenatal exposure to VPA is a potential concern for offspring neurodevelopment and long-term neurological health.

    Purpose of the Study:

    • To investigate the long-term effects of prenatal VPA exposure on neurogenesis and seizure susceptibility in adult mice.
    • To explore potential interventions to mitigate the adverse effects of prenatal VPA exposure.

    Main Methods:

    • Mice were exposed to VPA prenatally, and their offspring were assessed for seizure susceptibility and hippocampal neurogenesis in adulthood.
    • Gene expression analysis was performed on neural stem/progenitor cells (NS/PCs) to identify molecular mechanisms underlying VPA's effects.

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  • The impact of voluntary exercise and targeted gene (CXC motif chemokine receptor 4 - Cxcr4) manipulation was evaluated.

    • Main Results:

    • Prenatal VPA exposure led to ectopic localization of newborn neurons in the hippocampal hilus, altering gene expression in NS/PCs, including Cxcr4.
    • This aberrant neurogenesis correlated with increased seizure susceptibility in adult offspring.
    • Voluntary exercise and restoring Cxcr4 expression in NS/PCs normalized neuronal migration and reduced seizure susceptibility.

    Conclusions:

    • Prenatal VPA exposure induces long-term changes in offspring neurodevelopment, specifically affecting neuronal migration and increasing seizure risk.
    • Physical activity and targeted molecular interventions (e.g., Cxcr4 restoration) can counteract these detrimental effects.
    • Findings suggest strategies for managing in utero VPA exposure consequences in offspring.