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What we hope you learnt Phosphorylation & degradation run the cell cycle engine Today’s specials Mitosis is an example of parallel paths ! self assembly Positive & negative feedback make a limit cycle G proteins (GTPases) run & regulate much of biology Most cycles have more cyclins and Cdks DNA and motors collaborate to assemble the spindle The engine integrates a variety of inputs There is general theory for complex biological processes DNA must replicate once and only once Discriminating between models for growth/division coordination Replication is regulated by controlling origin firing Microbial cells grown when they can (mostly!) Animal cells need to be told to grow and divide Cancer results from two sorts of mutations Proto-oncogenes are activated to become oncogenes Tumor suppressor genes are inactivated Two routes to spindle assembly A three step model for chromosome-driven spindle assembly Chromosomes nucleate microtubules by locally activating nucleation factors Chromokinesins move micrortubules so their + ends are nearest to the chromosomes; bipolarity visible Dynein clusters the minus ends of microtubules to form two focused spindle poles Centrosome-driven Chromosome-driven GTP hydrolysis regulates the activity of many proteins GTP GTP hydrolysis regulates the activity of many proteins Guanine nucleotide exchange factor (GEF) GDP GTP GDP Free GTP GDP GTP On microtubules GDP Tubulin G Protein P P GTPase activating protein (GAP) Importin !!!Ran-GDP Importin !!!R Chromosomes use Ran-GTP to nucleate microtubules Invention recycling: Ran drives nuclear import CYTOPLASM Rcc1 (Ran GEF) Ran-GDP Ran-GTP Spindle Assembly Factor (SAF) Ran-GDP + Importin ß Importin ß: Spindle Assembly Factor Cargo Protein + Importin ß Importin ß:Ran-GTP Ran GAP Importin ß: Cargo Protein Ran-GDP + Importin ß + Spindle Assembly Factor (SAF) Microtubule nucleation Spindle assembly Ran-GTP Cargo Protein Importin ß:Ran-GTP NUCLEUS 4 Slides from Dan Needleman Physics undergrad Physics PhD: polymer bundling Postdoc: w Mitchison @ HMS Behaviors of microtubules in spindles Nucleation Polymerization and Depolymerization Interactions and Forces Polymerization Following single microtubules in spindles Prof in SEAS tubulin oligomers Goal: understand spindle assembly Phenomenology: follow all aspects of MT behavior Result: a theory for spindle assembly Depolymerization stable nucleus Adapted From Kollman, Merdes, Mourey, Adapted from Walczak, Cai, Khodjakov, Nature Reviews MCB, 11, 2010 Agard, Nature Review MCB, 12, 2011 What experiments reveal Nucleation Polymerization and Depolymerization Nucleators, activated by chromosomes, diffuse and bind microtubules Spatially regulated Semiquantitative understanding Not spatially Regulated General behaviors well characterized and explained by simple theory Interactions And forces Local interactions Mutual alignment and sliding Contractile Adapted from Howard, Hyman Nature 422, 2003 Nucleators localized by a positive feedback loop Chromosomal signaling pathway (Ran) Activates Nucleators Generates Microtubules Localizes Without Microtubules With Microtubules Coarse-grained theoretical explanation active nucleator inactive nucleator …or this sort of theory,… Not this sort of theory,… Anaphase promoting complex (APC) …but this sort of theory! With Appropriate Symmetries, Conservation Laws, etc. . . Nematic Order Polar Order Concentration Momentum No coordination !size variation Try this rule: cells split in middle ± 8% then double in size Number of cells Stresses Divison 1 Division 3 Division 5 Division 7 Division 9 10000 Microtubule Polarity Momentum Division with 8% mean error in symmetry 12000 Microtubule Orientation 8000 6000 4000 2000 Microtubule Density with Jan Brugues 0 0 10 20 Cell Size 30 40 50 Coordinating growth & division The original model Two phases of the cell cycle Variable: birth to Start Constant: Start to division No Start until size threshold reached Comparing coordination models The constant volume addition model The new model Attempt to add constant volume between Starts Variable: Start to Start A titration scheme for start R is an inhibitor: stable, inherited in a constant amount Eg: DNA Start cannot be induced until all inhibitor bound by activator mRNA Protein For budding yeast and bacteria: Data fits constant ∆volume model For fission yeast Data doesn’t fit constant ∆volume model A Start + R A R Threshold size: unstable activator Threshold size: unstable activator Activator amount proportional to volume Separation of time scales: t0.5,A << tD OK to ignore volume increase while considering [A] Constant volume: periodically unstable activator Constant volume: periodically unstable activator Destroyed after each Start, stable otherwise Activator amount proportional to volume increase d[A] = kS,A dt dAAMOUNT = kS,AV dt d[A] = kS,A − kdeg,A [A]SS = 0 dt kdeg,A [A]SS = kS,A [A]SS = kS,A kdeg,A t AAMOUNT = ∫ kS,AV dt 0 AAMOUNT = [A]SS V Budding yeast: grow if you can Ras is conserved, its targets are not Budding Yeast: Ras:GTP ! Adenyl cyclase (Cdc35) Fission yeast: Ras:GTP ! Byr2 (kinase, pheromone response) Ras:GTP ! GEFCDC42 (actin cytoskeleton) Mammals Ras:GTP ! >6 different effectors Is it always grow & divide if you can? Cells face a choice as nutrient levels fall Conservative: Stop,hoard nutrients, prepare to starve Go for it Try one more division,hope nutrients reappear soon Experimental evolution yields go for it mutants Animal cells need growth & division instructions Most animal cells neither grow nor divide Typically, division requires growth Protein signals stimulate growth & division Reduced O2 ! more Epo ! more RBC Clotting platelets release PDGF ! growth & divn (Platelet-derived growth factor) Growth control via increased ribosome production x Growth factors detected by receptor tyrosine kinases Tor = key regulatory kinase Cancer is a multistep process Steps to a benign tumor Abnormally controlled cell growth Abnormally controlled cell division Escape from programmed cell death (apoptosis) Induce new blood vessel formation (angiogenesis) Steps to malignant tumor (cancer) Enter & exit blood vessels Form tumors at new sites (metastasis) Two sorts of cancer mutations Proto-oncogene ! Oncogene Ras mutations are prominent in cancer Guanine nucleotide exchange factor (GEF) Mutations increase activity or reduce regulation Genes normally promote cell growth & division Example: Ras Inactivation of tumor suppressor genes Mutations destroy or reduce activity Genes normally restrain cell growth & division Examples: Retinoblastoma protein, p53 Losing a tumor suppressor gene causes retinoblastoma GTP Guanine nucleotide exchange factor (GEF) GDP GTP GTP GTP GDP GDP Ras Ras G12V P GTPase activating protein (GAP) Ras: proto-oncogene GDP Ras-G12V: oncogene Rb inhibits S phase cyclin production