Course given on fall semester by Ron Milo, teaching fellows: Ron Sender and Lior Greenspoon
Wednesdays 11:15-13:00 @ Belfer auditorium
Course email (to send exercises, suggestions, errors, insights...): cellbiologybythenumbers@gmail.com
Main reading resource: "Cell Biology by the Numbers" book
Vignettes that reveal how numbers serve as a sixth sense to understanding our cells
Course outline
Subject 1 (09/11/2022): Quantitative reasoning in molecular and cell biology
Exercise 1 (due by 16/11/2022)
A filmed version of the lecture
Subject 2 (16/11/2022): Size and mass
Exercise 2 (due by 30/11/2022)
A filmed version of the lecture
Slides from the lecture - photo gallery of sizes in cell biology
Subject 3 (30/11/22): Concentration and absolute numbers
Exercise 3 (due by 14/12/22)
A filmed version of the lecture
Slides from the lecture - photo gallery of concentrations in cell biology
Subject 4 (07/12/22): Number of cells in the human body
A filmed version of the lecture
Subject 5 (14/12/2022): Rates
Exercise 4 (due by 21/12/2022)
A filmed version of the lecture
Subject 6 (21/12/2022): Energy, food and humanity
Exercise 5 (due by 04/01/2023)
A filmed version of the lecture
Subject 7 (28/12/2022): The global biomass of wild mammals
Subject 8 (04/01/2023): Information
A filmed version of the lecture
General info on the final assignment
Guidelines for the final assignment can be found in the following document:
Final course presentation format and execution
Oral presentation
- 5 minutes with calculation on white board, 2 minute extension for extra aids/features (multi-answer question presented to class, object for demonstration etc.)
- Pay attention to unit conversions, significant digits, big clear handwriting, keep it simple and elegant.
- Assignment of dates will be posted soon!
Written vignette
- 2-3 pages long, with introduction of the question, some background, the calculation, possible outcomes and interesting conclusions.
- To be submitted (after feedback from class peers) 2 weeks after the oral presentation.
Deadlines
18/01/2023 - Start of student presentation sessions.
Student presentation schedule
The student presentation schedule can be found in the following document:
Student presentation time table
- If you can't make it to the date you are assigned to, please find someone to switch with and notify us of the change.
- If you prefer a different email to receive feedback and comments to, let us know and we'll update the email address.
Course description and syllabus:
Over the past decades, biology has evolved rapidly from a descriptive, qualitative discipline to a more analytical, data-driven and quantitative one. Our ability to collect numbers that describe the most basic molecular processes within the cell has increased significantly, and simple calculations based on these data can provide important insights and enrich our scientific intuition.
This course is aimed at exposing students to the practice of making back of the envelope calculations (so called Fermi problems) with key numbers in biology, and its useful applications in research. We will learn how to identify the major factors that determine the order of magnitude of the results, when to allow simplification, how to calculate them efficiently, and how to avoid common pitfalls.
The course is composed of weekly lectures on different aspects of quantitative cell biology through many examples of basic (yet often surprising) questions:
- Size and geometry (e.g. What is larger, mRNA or the protein it codes for? How many cells are there in a human?)
- Concentrations and absolute numbers (e.g. What is the elemental and macromolecular composition of a cell? How many virions result from a single viral infection?)
- Energies and Forces (e.g. What is the power consumption of a cell? How much does protein synthesis take out of the entire energy budget of a cell?)
- Rates and durations (e.g. How long does it take cells to copy their genomes? What is faster, transcription or translation? What are the time scales for diffusion in cells?)
- Information and errors (e.g. What is the mutation rate during genome replication? What is the error rate in transcription and translation?)
The last few meetings of the course will be dedicated to presentations of student calculations as a final assignment.
Accompanying texts:
Course book is freely available at: bionumbers
Specific reading material will be given during the course.
* Those who did not take a molecular biology course should read the first few chapters of "Essential Cell Biology", Alberts et al, Garland Science
Other recommended readings (none compulsory, all for enrichment and fun):
- “Guesstimation” by Lawrence Weinstein and John Adam
- “Physical Biology of the Cell” by Rob Phillips, Jane Kondev, Julie Theriot and Hernan Garcia
- “Physiology by Numbers” by Richard Burton (and its partner book “Biology by Numbers” also by Richard Burton)
- “Consider a Spherical Cow” by John Harte (and its partner book “Consider a Cyclindrical Cow” also by John Harte)
- "Street fighting mathmatics" by Sanjoy Mahajan
Grading:
Attendance and active participation is required.
50% - Weekly assignments
50% - Final assignment (presentation + written vignette)
Interesting links:
Key numbers in cell biology (with reference links)
Physical Biology of the cell at Caltech - Rob Phillips group
Order of Magnitude Physics course (Prof. Nir Shaviv, in hebrew)