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All posts; Tags Include "Applied Mathematics"

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  • December 18, 2016
  • 05:45 AM
  • 457 views

Fusion and sex in protocells & the start of evolution

by Artem Kaznatcheev in Evolutionary Games Group

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

  • November 30, 2016
  • 02:00 AM
  • 365 views

Chemical games and the origin of life from prebiotic RNA

by Eric Bolo in Evolutionary Games Group

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  

  • November 25, 2016
  • 08:00 PM
  • 389 views

Three mechanisms of dark selection for ruxolitinib resistance

by Artem Kaznatcheev in Evolutionary Games Group

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  

  • August 17, 2016
  • 11:45 AM
  • 591 views

Multiplicative versus additive fitness and the limit of weak selection

by Artem Kaznatcheev in Evolutionary Games Group

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  

  • July 14, 2016
  • 11:30 PM
  • 720 views

Evolutionary dynamics of acid and VEGF production in tumours

by Artem Kaznatcheev in Evolutionary Games Group

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 »

Hauert, C., De Monte, S., Hofbauer, J., & Sigmund, K. (2002) Replicator dynamics for optional public good games. Journal of Theoretical Biology, 218(2), 187-94. PMID: 12381291  

  • July 13, 2016
  • 10:30 PM
  • 725 views

Modeling influenza at ECMTB/SMB 2016

by Artem Kaznatcheev in Evolutionary Games Group

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  

  • June 16, 2016
  • 05:49 AM
  • 790 views

Higgs or not Higgs, that is the question

by Marco Frasca in The Gauge Connection

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

  • June 9, 2016
  • 11:45 PM
  • 675 views

Multiple realizability of replicator dynamics

by Artem Kaznatcheev in Evolutionary Games Group

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 »

Taylor, P., & Jonker, L. (1978) Evolutionary stable strategies and game dynamics. Mathematical Biosciences, 40(1-2), 145-156. DOI: 10.1016/0025-5564(78)90077-9  

  • May 16, 2016
  • 11:45 PM
  • 779 views

Acidity and vascularization as linear goods in cancer

by Artem Kaznatcheev in Evolutionary Games Group

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 »

Hauert, C., De Monte, S., Hofbauer, J., & Sigmund, K. (2002) Replicator dynamics for optional public good games. Journal of Theoretical Biology, 218(2), 187-94. PMID: 12381291  

  • April 14, 2016
  • 02:00 AM
  • 814 views

Cancer metabolism and voluntary public goods games

by Robert Vander Velde in Evolutionary Games Group

When I first came to Tampa to do my Masters[1], 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  

  • March 26, 2016
  • 11:45 PM
  • 683 views

Don’t treat the player, treat the game: buffer therapy and bevacizumab

by Artem Kaznatcheev in Evolutionary Games Group

No matter how much I like modeling for the sake of modeling, or science for the sake of science, working in a hospital adds some constraints. At some point people look over at you measuring games in the Petri dish and ask “why are you doing this?” They expect an answer that involves something that […]... Read more »

  • February 9, 2016
  • 11:30 PM
  • 900 views

Lotka-Volterra, replicator dynamics, and stag hunting bacteria

by Artem Kaznatcheev in Evolutionary Games Group

Happy year of the monkey! Last time in the Petri dish, I considered the replicator dynamics between type-A and type-B cells abstractly. In the comments, Arne Traulsen pointed me to Li et al. (2015): We have attempted something similar in spirit with bacteria. Looking at frequencies alone, it looked like coordination. But taking into account […]... Read more »

Li, X.-Y., Pietschke, C., Fraune, S., Altrock, P.M., Bosch, T.C., & Traulsen, A. (2015) Which games are growing bacterial populations playing?. Journal of the Royal Society Interface, 12(108), 20150121. PMID: 26236827  

  • February 4, 2016
  • 11:30 PM
  • 926 views

Hadza hunter-gatherers, social networks, and models of cooperation

by Artem Kaznatcheev in Evolutionary Games Group

At the heart of the Great Lakes region of East Africa is Tanzania — a republic comprised of 30 mikoa, or provinces. Its border is marked off by the giant lakes Victoria, Tanganyika, and Malawi. But the lake that interests me the most is an internal one: 200 km from the border with Kenya at […]... Read more »

Apicella, C.L., Marlowe, F.W., Fowler, J.H., & Christakis, N.A. (2012) Social networks and cooperation in hunter-gatherers. Nature, 481(7382), 497-501. PMID: 22281599  

  • January 27, 2016
  • 11:00 PM
  • 886 views

Measuring games in the Petri dish

by Artem Kaznatcheev in Evolutionary Games Group

For the next couple of months, Jeffrey Peacock is visiting Moffitt. He’s a 4th year medical student at the University of Central Florida with a background in microbiology and genetic engineering of bacteria and yeast. Together with Andriy Marusyk and Jacob Scott, he will move to human cells and run some in vitro experiments with […]... Read more »

Archetti, M., Ferraro, D.A., & Christofori, G. (2015) Heterogeneity for IGF-II production maintained by public goods dynamics in neuroendocrine pancreatic cancer. Proceedings of the National Academy of Sciences of the United States of America, 112(6), 1833-8. PMID: 25624490  

  • December 27, 2015
  • 11:07 AM
  • 1,094 views

Quantum gravity

by Marco Frasca in The Gauge Connection

Quantum gravity appears today as the Holy Grail of physics. This is so far detached from any possible experimental result but with a lot of attentions from truly remarkable people anyway. In some sense, if a physicist would like to know in her lifetime if her speculations are worth a Nobel prize, better to work […]... Read more »

Ali H. Chamseddine, Alain Connes, & Viatcheslav Mukhanov. (2014) Quanta of Geometry: Noncommutative Aspects. Phys. Rev. Lett. 114 (2015) 9, 091302. arXiv: 1409.2471v4

Ali H. Chamseddine, Alain Connes, & Viatcheslav Mukhanov. (2014) Geometry and the Quantum: Basics. JHEP 12 (2014) 098. arXiv: 1411.0977v1

  • December 12, 2015
  • 12:04 PM
  • 755 views

Hunting for the signatures of cancer

by EE Giorgi in CHIMERAS

Today I'm proud to introduce you to a talented postdoctoral fellow in my own group at the Los Alamos National Laboratory. No, I had nothing to do with his work, which is why I can discuss it without any competing interests. Ours is the Theoretical Biology group, and what that means is that we do biology from a purely theoretical perspective: we design analytical models and analyze data from experiments. Sounds trivial, but it's not, and it takes the joint forces of people coming from the most di........ Read more »

  • December 6, 2015
  • 11:45 PM
  • 956 views

Evolutionary dynamics of cancer in the bone

by Artem Kaznatcheev in Evolutionary Games Group

I don’t know about you, dear reader, but when I was a senior in highschool, I was busy skipping class to play CounterStrike. And I wasn’t even any good at it. Pranav Warman, however, is busy spending his senior year curing cancer. Or at least modeling it. On Friday, David Basanta, Pranav, and I spent […]... Read more »

  • November 29, 2015
  • 11:45 PM
  • 915 views

Diversity and persistence of group tags under replicator dynamics

by Artem Kaznatcheev in Evolutionary Games Group

Everyday I walk to the Stabile Research Building to drink espresso and sit in my cozy — although oversaturated with screens — office. Oh, and to chat about research with great people like Arturo Araujo, David Basanta, Jill Gallaher, Jacob Scott, Robert Vander Velde and other Moffitters. This walk to the office takes about 30 […]... Read more »

Jansson, F. (2015) What games support the evolution of an ingroup bias?. Journal of theoretical biology, 100-10. PMID: 25794651  

  • November 25, 2015
  • 03:45 AM
  • 780 views

From linear to nonlinear payoffs in the double public goods game

by Artem Kaznatcheev in Evolutionary Games Group

If you recall, dear reader, around this time last year, Robert Vander Velde, David Basanta, Jacob Scott and I got excited about the Archetti (2013,2014) approach to modeling non-linear public goods in cancer. We’ve been working on this intermittently for the last year, but aim to focus now that I have settled in here at […]... Read more »

  • November 19, 2015
  • 08:30 PM
  • 933 views

Cytokine storms during CAR T-cell therapy for lymphoblastic leukemia

by Artem Kaznatcheev in Evolutionary Games Group

For most of the last 70 years or so, treating cancer meant one of three things: surgery, radiation, or chemotherapy. In most cases, some combination of these remains the standard of care. But cancer research does not stand still. More recent developments have included a focus on immunotherapy: using, modifying, or augmenting the patient’s natural […]... Read more »

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