The key ideas in the article center around (a) the standard multiplication table—with a row of numbers at the top, a column of numbers down the left, and the products of those numbers in the body of the table, and (b) modulus.... Read more »
An 800-year-old ceremonial complex near the famous cliff dwellings of Mesa Verde was built using the same basic geometry found in ancient monuments from Greece to Egypt, a new study has found.
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Sherry Towers. (2016) Advanced geometrical constructs in a Pueblo ceremonial site, c 1200 CE. Journal of Archaeological Science: Reports. arXiv: 1605.09494v2
In 1864, five years after reading Darwin’s On the Origin of Species, Pyotr Kropotkin — the anarchist prince of mutual aid — was leading a geographic survey expedition aboard a dog-sleigh — a distinctly Siberian variant of the HMS Beagle. In the harsh Manchurian climate, Kropotkin did not see competition ‘red in tooth and claw’, […]... Read more »
Sinai, S, Olejarz, J, Neagu, IA, & Nowak, MA. (2016) Primordial Sex Facilitates the Emergence of Evolution. arXiv. arXiv: 1612.00825v1
From bacteria to vertebrates, life — as we know it today — relies on complex molecular interactions, the intricacies of which science has not fully untangled. But for all its complexity, life always requires two essential abilities. Organisms need to preserve their genetic information and reproduce. In our own cells, these tasks are assigned to […]... Read more »
Yeates JA, Hilbe C, Zwick M, Nowak MA, & Lehman N. (2016) Dynamics of prebiotic RNA reproduction illuminated by chemical game theory. Proceedings of the National Academy of Sciences of the United States of America, 113(18), 5030-5. PMID: 27091972
Last week I returned from the 6th annual IMO Workshop at the Moffitt Cancer Center in Tampa, Florida. As I’ve sketched in an earlier post, my team worked on understanding ruxolitinib resistance in chronic myelomonocytic leukemia (CMML). We developed a suite of integrated multi-scale models for uncovering how resistance arises in CMML with no apparent […]... Read more »
Merlevede, J., Droin, N., Qin, T., Meldi, K., Yoshida, K., Morabito, M., Chautard, E., Auboeuf, D., Fenaux, P., Braun, T.... (2016) Mutation allele burden remains unchanged in chronic myelomonocytic leukaemia responding to hypomethylating agents. Nature Communications, 10767. PMID: 26908133
Typically when scientists make a measurement, they know exactly what kind of measurement they're making, and their purpose is to obtain a measurement outcome. But in an "unrecorded measurement," both the type of measurement and the measurement outcome are unknown.
... Read more »
Spinning black holes are capable of complex quantum information processes encoded in the X-ray photons. ... Read more »
Ovidiu Racorean. (2016) Photonic Bell states creation around rotating black holes. ArXiv. arXiv: 1608.06822v1
Mathematics is an important part of modern society. Science and engineering are hard to imagine without mathematics, and even simple things such as calculating the cost of groceries involve mathematics. So, it's not strange to stop and wonder what mathematics is. That turns out to be a very difficult question.... Read more »
Stefan Buijsman. (2016) Philosophy of Mathematics for the Masses: Extending the scope of the philosophy of mathematics. Stockholm: Department of Philosophy, Stockholm University . info:other/978-91-7649-351-9
A new paper in Brain tells the story of attempts to turn brain waves into music. The authors are Bart Lutters and Peter J. Koehler: Brainwaves in concert: the 20th century sonification of the electroencephalogram
Electroencephalography (EEG), a technique for measuring brain electrical activity, was invented by German psychiatrist Hans Berger in 1929. Berger's EEG displayed the recorded activity in the form of graphs, using a mobile pen and a rotating drum of graph paper, but within 5 years,... Read more »
Lutters B, & Koehler PJ. (2016) Brainwaves in concert: the 20th century sonification of the electroencephalogram. Brain. PMID: 27543971
Previously, I have discussed the importance of understanding how fitness is defined in a given model. So far, I’ve focused on how mathematically equivalent formulations can have different ontological commitments. In this post, I want to touch briefly on another concern: two different types of mathematical definitions of fitness. In particular, I will discuss additive […]... Read more »
Wu B, García J, Hauert C, & Traulsen A. (2013) Extrapolating weak selection in evolutionary games. PLoS Computational Biology, 9(12). PMID: 24339769
Today was my presentation day at ECMTB/SMB 2016. I spoke in David Basanta’s mini-symposium on the games that cancer cells play and postered during the poster session. The mini-symposium started with a brief intro from David, and had 25 minute talks from Jacob Scott, myself, Alexander Anderson, and John Nagy. David, Jake, Sandy, and John […]... Read more »
This week, I am at the University of Nottingham for the joint meeting of the Society of Mathematical Biology and the European Conference on Mathematical and Theoretical Biology — ECMTB/SMB 2016. It is a huge meeting, with over 800 delegates in attendance, 308 half-hour mini-symposium talks, 264 twenty-minute contributed talks, 190 posters, 7 prize talks, […]... Read more »
Gog, J.R., Ballesteros, S., Viboud, C., Simonsen, L., Bjornstad, O.N., Shaman, J., Chao, D.L., Khan, F., & Grenfell, B.T. (2014) Spatial Transmission of 2009 Pandemic Influenza in the US. PLoS Computational Biology, 10(6). PMID: 24921923
LHCP2016 is running yet with further analysis on 2015 data by people at CERN. We all have seen the history unfolding since the epochal event on 4 July 2012 where the announcement of the great discovery happened. Since then, also Kibble passed away. What is still there is our need of a deep understanding of the […]... Read more »
Marco Frasca. (2015) A theorem on the Higgs sector of the Standard Model. Eur. Phys. J. Plus (2016) 131: 199. arXiv: 1504.02299v3
"The brain is a three dimensional object." It would seem that this is one of the least controversial facts about the brain, something we can all agree on. But now, in a curious new paper, researchers Arturo Tozzi and James F. Peters suggest that the brain might have an extra dimension: Towards a fourth spatial dimension of brain activity
From topology, a strong concept comes into play in understanding brain functions, namely, the 4D space of a ‘‘hypersphere’s torus’’, undetectable by........ Read more »
Tozzi A, & Peters JF. (2016) Towards a fourth spatial dimension of brain activity. Cognitive neurodynamics, 10(3), 189-99. PMID: 27275375
Abstraction is my favorite part of mathematics. I find a certain beauty in seeing structures without their implementations, or structures that are preserved across various implementations. And although it seems possible to reason through analogy without (explicit) abstraction, I would not enjoy being restricted in such a way. In biology and medicine, however, I often […]... Read more »
Performing the discrete mode of presentation test strongly enhances the salience of the relevant variable, perimeter, and somewhat decreases that of area. This enhancement supports appropriate solution strategies that lead to improved performance. This effect is robust and transfers to continuous mode of presentation for at least 10 days. In line with this conclusion, a student who performed the continuous test after the discrete one commented that, “It [continuous] was harder this time bu........ Read more »
Babai, R., Nattiv, L., & Stavy, R. (2016) Comparison of perimeters: improving students’ performance by increasing the salience of the relevant variable. ZDM, 48(3), 367-378. DOI: 10.1007/s11858-016-0766-z
Last month, Robert Vander Velde discussed a striking similarity between the linear version of our model of two anti-correlated goods and the Haert et al. (2002) optional public good game. Robert didn’t get a chance to go into the detailed math behind the scenes, so I wanted to do that today. The derivations here will […]... Read more »
Artist's depiction of the WMAP satellite gathering data to understand the Big Bang. Source: NASA.For decades physicists have been trying to decipher the first moments after the Big Bang. Using very large telescopes, for example, scientists scan the skies and look at how fast galaxies move. Satellites study the relic radiation left from the Big Bang, called the cosmic microwave background radiation. And finally, particle colliders, like the Large Hadron Collider at CERN, allow researchers to smas........ Read more »
Grohs, E., Fuller, G., Kishimoto, C., Paris, M., & Vlasenko, A. (2016) Neutrino energy transport in weak decoupling and big bang nucleosynthesis. Physical Review D, 93(8). DOI: 10.1103/PhysRevD.93.083522
Working to orient oneself to the symmetries available in mathematical situations seems like one appropriate remedy to what I've called "left-to-rightism," or "cinemathematics"—a syndrome that makes us teach concepts like the equals sign (unwittingly) in a left-to-right way, such that students take away (unwittingly) the misconception that the equals sign indicates that some answer is to follow, rather than that two expressions are equal. Some recent research points........ Read more »
Tsang, J., Blair, K., Bofferding, L., & Schwartz, D. (2015) Learning to “See” Less Than Nothing: Putting Perceptual Skills to Work for Learning Numerical Structure. Cognition and Instruction, 33(2), 154-197. DOI: 10.1080/07370008.2015.1038539
by Robert Vander Velde in Evolutionary Games Group
When I first came to Tampa to do my Masters, my focus turned to explanations of the Warburg effect — especially a recent paper by Archetti (2014) — and the acid-mediated tumor invasion hypothesis (Gatenby, 1995; Basanta et al., 2008). In the course of our discussions about Archetti (2013,2014), Artem proposed the idea of combining two […]... Read more »
Hauert, C., De Monte, S., Hofbauer, J., & Sigmund, K. (2002) Replicator dynamics for optional public good games. Journal of Theoretical Biology, 218(2), 187-194. PMID: 12381291
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