Discover and read the best of Twitter Threads about #mathonco

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Controlling the speed and trajectory of evolution with counterdiabatic driving -- a TWEETORIAL 0/n #evolution #mathonco #mathevo #physics #quantumcomputing biorxiv.org/content/10.110…
#Evolution is the most fundamental biological *mechanism - and drives change over time across all the kingdoms of life. We are getting better and better at *predicting* its outcomes, and *harnessing it* (directed evolution), but we haven't previously had any *control* over it 1/n
in work w\ @D4N__ we took advantage of sequential application of selective pressures in a math model to *steer evolution* & relied on taking limits (as time -> infinity) to understand where populations equilibrated in genotype space 2/n journals.plos.org/ploscompbiol/a… @PLOSCompBiol
Read 13 tweets
(That paper is open-access, BTW: cancerres.aacrjournals.org/content/45/12_….)

The scenario itself is set out in Fig.3, where “drugs have differing dose-limiting toxicity and thus can be used in combination at full dose.”

In Fig.4, the implications for 1-size-fits-all dosing are worked out. 9/ Image
Much of the nutritional content of this paper is to be found its figure captions, but let’s zoom in on the Figures themselves …

Fig.3 shows a shared ‘background’ of therapeutic isoboles common to the whole population, i.e. absent any heterogeneity of treatment effect (HTE) 10/ Image
What IS heterogenous in Fig.3, tho, is patients’ toxic responses. Each patient ‘i’ is characterized by a point (MTDᵢᴬ, MTDᵢᴮ) according to his/her own individualized MTD for each drug. Patient ‘x’ shown in the figure can tolerate any combination dose inside the rectangle. 11/ Image
Read 21 tweets
(1/n) Excited that final version of work led by @D4N__ studying evolutionary repeatability and collateral sensitivity is out. #mathevo #clecliniccancer nature.com/articles/s4146… @CCLRI @NatureComms @CWRUSOM
(2/n) This collab between @CompSciOxford @CCLRI @CWRUSOM & @MoffittPSOC is an extension of @D4N__ ‘s initial theory paper that proposed ‘steering evolution’ as a method of extending the use of existing drugs to control infection. #AntibioticResistance journals.plos.org/ploscompbiol/a…
(3/n) using the fitness landscape metaphor, we reasoned that instances of collateral sensitivity need not be repeatable, as evolutionary branch points could lead to multiple peaks - which could have different sensitivity profiles.
Read 11 tweets

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