Biological Physics Lecture Summary
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Questions and Answers

What is the approximate fraction of second-hand air in a room when measuring CO2 levels?

  • $ rac{400}{40,000}$ (correct)
  • $ rac{300}{40,000}$
  • $ rac{500}{40,000}$
  • $ rac{200}{40,000}$
  • What is the approximate speed of mucus particles falling under gravity?

  • $3 ext{ cm s}^{-1}$ for droplets of radius 10 µm
  • $1 ext{ cm s}^{-1}$ for droplets of radius 10 µm
  • $2 ext{ cm s}^{-1}$ for droplets of radius 10 µm (correct)
  • $2 ext{ cm s}^{-1}$ for droplets of radius 5 µm
  • How is the mortality rate for a particular cancer defined?

  • The likelihood of developing cancer in that year
  • The probability that a person of age t dies from that cancer at that age (correct)
  • The cumulative risk of dying from that cancer over a lifetime
  • The expectation of dying from any cause at age t
  • What does the variable 'K' represent in the model for cancer mortality?

    <p>The number of independent random mutations required for cancer (A)</p> Signup and view all the answers

    Which factor influences the keeping of aerosol droplets suspended in the air?

    <p>Air currents in the room (C)</p> Signup and view all the answers

    What does a high Péclet number indicate about flow and diffusion?

    <p>Flow dominates diffusion. (B)</p> Signup and view all the answers

    In the context of a nanomotor, which of the following is the correct formula for work done?

    <p>Work done = force × distance. (C)</p> Signup and view all the answers

    What is the approximate information storage capacity of the human genome?

    <p>6 billion bits. (A)</p> Signup and view all the answers

    What is required for a biochemical switch to operate effectively?

    <p>Input must affect output. (A)</p> Signup and view all the answers

    Which of the following forces is typical for a nanomotor during its operation?

    <p>10 nN. (B)</p> Signup and view all the answers

    In terms of cell signaling, what does 'cooperative binding' refer to?

    <p>Multiple molecules binding together to affect output. (B)</p> Signup and view all the answers

    What type of diseases are transmitted via aerosols?

    <p>Airborne infectious diseases. (A)</p> Signup and view all the answers

    What happens when the Péclet number is much less than 1?

    <p>Diffusion dominates over flow. (B)</p> Signup and view all the answers

    What is the relationship between the mass of an animal and its ability to walk on land?

    <p>Mass scales with the cube of the height. (A)</p> Signup and view all the answers

    Why can water striders walk on water while humans cannot?

    <p>Surface tension only increases with contact length, not mass. (A)</p> Signup and view all the answers

    In which scenario do gravity forces dominate over surface tension for droplets?

    <p>When the Bond number is much greater than 1. (A)</p> Signup and view all the answers

    How does the time to diffuse a distance scale with that distance according to the diffusion equation?

    <p>It increases as the square of the distance. (A)</p> Signup and view all the answers

    What characterizes the time taken to move via flow across a distance?

    <p>It increases linearly with the distance. (A)</p> Signup and view all the answers

    Which of the following correctly describes the change in droplet shape as its size increases?

    <p>Smaller droplets are almost spherical, while larger droplets are flattened. (D)</p> Signup and view all the answers

    What does the inequality regarding surface tension and gravity indicate for water striders?

    <p>The surface tension force is sufficient to hold them up. (C)</p> Signup and view all the answers

    Which factor limits the size of animals that can walk on land?

    <p>The cross-sectional area of their femurs. (B)</p> Signup and view all the answers

    Flashcards

    Stress

    The maximum force that an object can withstand before breaking or deforming.

    Stress

    The ratio of the force applied to the cross-sectional area of the object.

    Surface Tension

    A measure of a fluid's resistance to deformation.

    Bond Number

    A dimensionless number that compares gravity forces to surface tension forces.

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    Diffusion

    The movement of molecules from an area of high concentration to an area of low concentration.

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    Diffusion Time

    The relationship between the time it takes for a substance to diffuse a certain distance and the square of that distance.

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    Flow

    The rate at which a substance flows or moves.

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    Flow Time

    The time it takes for a substance to move a certain distance via flow at a given speed.

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    Second-hand air fraction (f2nd)

    The fraction of air in a room that has passed through someone's lungs and may carry pathogens like SARS-CoV-2 or TB.

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    CO2 concentration in air and breath

    The concentration of CO2 in the Earth's atmosphere is approximately 400 parts per million (ppm), while the concentration in our breath is around 40,000 ppm.

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    Aerosol particle settling speed (u)

    The speed at which aerosol particles, like mucus droplets, fall under gravity. It depends on the particle's size and is influenced by gravity and Stokes drag.

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    Cancer mortality rate (hC(t))

    The probability that a person of a specific age will die from a particular cancer.

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    Number of mutations for lethal cancer (K)

    The number of independent random mutations required for a lethal cancer to develop.

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    Péclet Number (Pe)

    The ratio of the timescale of diffusion over a characteristic length scale to the timescale of advection over the same length scale. It quantifies the relative importance of diffusion and advection in a system.

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    Bond Number (Bo)

    A dimensionless number that compares the forces of gravity to surface tension forces. A large Bond number indicates that gravity is the dominant force, and a small Bond number indicates that surface tension is the dominant force.

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    Nanomotor Force

    The force exerted by a nanomotor, typically on the order of 10^-11 Newtons.

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    Biological Switch

    A switch-like mechanism in biological systems where the output (e.g., production of a protein) is either ON or OFF, depending on the input signal (e.g., concentration of signaling molecules).

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    Cell Division

    The process of cells dividing and multiplying. It's essential for growth and development.

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    Cell Signaling

    The process by which cells communicate with each other through chemical signals. It plays a vital role in coordinating cell behavior.

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    Study Notes

    Biological Physics Revision Lecture Summary

    • Lecture 1: Fermi Estimation and King Kong

      • Stress on femur is limited by bone strength (≤10⁹ Pa)
      • Animal leg size is constrained by this.
      • Mass scales with size cubed (h³), while load-bearing area of femurs scales with size squared (h²).
    • Lecture 2: Walking on Water

      • Surface tension force must exceed gravity force.
      • Surface tension scales with size linearly (h¹), while gravity scales with size cubed (h³).
      • This explains why some creatures can walk on water but humans cannot.
    • Lecture 3: Dimensionless Numbers

      • Dimensionless numbers (like the Bond number) compare competing forces.
      • The Bond (Bo) number compares gravitational and surface tension forces.
      • Little droplets are spherical because surface tension dominates.
      • Larger droplets are flattened due to gravity.
    • Lecture 4: Diffusion, Flow, and Heart Attacks

      • Diffusion time is proportional to the square of the distance.
      • Diffusion is fast for short distances, slow for long distances.
      • Flow is much faster than diffusion over large distances.
    • Lecture 5: Tiny Motors in Muscles

      • Motors are very small, even at nanometer level.
      • Maximum force in nanomotors is ~10⁻¹¹N.
      • Energy is released from reactions to overcome distance.
    • Lecture 6: DNA Information and Gene Switches

      • DNA storage capacity is enormous.
      • Human genome store lots of information.
      • Cellular signals trigger switches regulating proteins or genes.
    • Lecture 7: Airborne Infectious Diseases

      • COVID-19 and other diseases spread via aerosols.
      • Second-hand air has a higher concentration of relevant gases than the room air itself (e.g., CO₂).
    • Lecture 8: A Simple Model for Cancer Mortality

      • Cancer mortality rate is related to age.
      • A power law describes the age and cancer rate (cancer mortality increases with age).
      • Cancer is a multi-step process (e.g., mutations).
    • Lecture 9: Evolution of Milk Drinking

      • Evolution is related through common ancestry.
      • The proportion of an allele in a population grows exponentially through the generations.
    • Lecture 10: Aerosol Particles

      • Stokes drag affects how fast objects fall.

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    Description

    This quiz covers essential concepts from biological physics, including Fermi estimation, walking on water, and the importance of dimensionless numbers. Each lecture highlights significant physical principles that govern biological systems and structures. Test your understanding of these fascinating topics and their implications in nature.

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