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math4mb

Math 4MB/6MB (mathematical biology)

UNDER CONSTRUCTION 11 Jan 2021

where is everything?

resources

admin

schedule

week date topics handouts assignments readings recordings notes
01 11-15 Jan intro + epidemic modeling 1 intro, epi1 , levins 11 Jan recording , 13 Jan blackboard , 14 Jan recording, 14 Jan blackboard
02 18-22 Jan epidemic modeling 2 0 Levins (1966); Bolker (2008) sec 1.3 + DQs 20 Jan recording , 20 Jan blackboard , 21 Jan recording, 21 Jan blackboard
03 25-29 Jan epidemic modeling 3 basic ODEs 1 25 Jan recording , 25 Jan blackboard , 27 Jan recording, 27 Jan blackboard
04 1-5 Feb more epidemic modeling final size notebook, estimating r Shaw and Kennedy (2021) 3 Feb recording , 3 Feb blackboard , 4 Feb recording, 4 Feb blackboard
05 8-12 Feb more epidemics! 10 Feb code , 11 Feb code 2 8 Feb recording , 8 Feb blackboard , 10 Feb recording, 10 Feb blackboard , 11 Feb recording, 11 Feb blackboard
06 15-19 Feb midterm break
07 22-26 Feb epidemics + neurons neuro notes feedback poll, project draft 22 Feb recording , 22 Feb blackboard , 24 Feb recording, 24 Feb blackboard , 25 Feb recording, 25 Feb blackboard
08 01-05 Mar neuro 2 chaos notes Innocenti et al. (2007) 01 Mar recording, 01 Mar blackboard , 04 Mar blackboard
09 08-12 Mar continuation notes , grind code , PyDSTool HR code midterm test (take-home, due Mon 15 Mar) 08 Mar recording , 08 Mar blackboard , 10 Mar recording , 10 Mar blackboard , 11 Mar recording (no 11 Mar blackboard)
10 15-19 Mar Hopfield (1982) 15 Mar: replication paper
11 22-26 Mar projects + disease evol disease evol notes , SEIR bifurc code replication exercise 25 Mar recording
12 29 Mar-2 Apr
13 5-9 Apr
14 12-14 Apr presentations
28 Apr projects due

References

Hopfield, J. J. 1982. “Neural Networks and Physical Systems with Emergent Collective Computational Abilities.” Proceedings of the National Academy of Sciences 79 (8): 2554–8. https://doi.org/10.1073/pnas.79.8.2554.

Innocenti, Giacomo, Alice Morelli, Roberto Genesio, and Alessandro Torcini. 2007. “Dynamical Phases of the Hindmarsh-Rose Neuronal Model: Studies of the Transition from Bursting to Spiking Chaos.” Chaos: An Interdisciplinary Journal of Nonlinear Science 17 (4): 043128. https://doi.org/10.1063/1.2818153.

Levins, R. 1966. “The Strategy of Model Building in Population Biology.” American Scientist 54: 421–31. https://www.jstor.org/stable/27836590.

Shaw, Clara L., and David A. Kennedy. 2021. “What the Reproductive Number R0 Can and Cannot Tell Us About COVID-19 Dynamics.” Theoretical Population Biology, January. https://doi.org/10.1016/j.tpb.2020.12.003.