All posts; Tags Include "Applied Mathematics"
- May 23, 2015
- 10:04 PM
- 257 views
Combining drugs with different penetration profiles can accelerate development of multidrug resistance
by Betty Zou in Eat, Read, Science
One strategy to prevent multidrug resistance from developing is combination therapy, when two or more drugs with unique modes of action are taken together to treat an infection. In a paper published this week in the Proceedings of the National Academy of Sciences, a team of mathematicians and biologists led by Dr. Pleuni Pennings at San Francisco State University examined how differences in drug penetrance can impact the effectiveness of combination therapy and subsequent emergence of multidrug ........ Read more »
Moreno-Gamez, S., Hill, A., Rosenbloom, D., Petrov, D., Nowak, M., & Pennings, P. (2015) Imperfect drug penetration leads to spatial monotherapy and rapid evolution of multidrug resistance. Proceedings of the National Academy of Sciences, 201424184. DOI: 10.1073/pnas.1424184112
- March 31, 2015
- 11:45 PM
- 281 views
Operationalizing the local environment for replicator dynamics
by Artem Kaznatcheev in Evolutionary Games Group
Recently, Jake Taylor-King arrived in Tampa and last week we were brainstorming some projects to work on together. In the process, I dug up an old idea I’ve been playing with as my understanding of the Ohtsuki-Nowak transform matured. The basic goal is to work towards an operational account of spatial structure without having to […]... Read more »
Ohtsuki, H., & Nowak, M. (2006) The replicator equation on graphs. Journal of Theoretical Biology, 243(1), 86-97. DOI: 10.1016/j.jtbi.2006.06.004
- March 28, 2015
- 11:00 AM
- 330 views
Misbeliefs, evolution and games: a positive case
by Sergio Graziosi in Evolutionary Games Group
A recurrent theme here in TheEGG is the limits and reliability of knowledge. These get explored from many directions: on epistemological grounds, from the philosophy of science angle, but also formally, through game theory and simulations. In this post, I will explore the topic of misbeliefs as adaptations. Misbeliefs will be intended as ideas about […]... Read more »
Kaznatcheev, A., Montrey, M., & Shultz, T.R. (2014) Evolving useful delusions: Subjectively rational selfishness leads to objectively irrational cooperation. Proceedings of the 36th annual conference of the Cognitive Science Society. arXiv: 1405.0041v1
- March 14, 2015
- 10:31 AM
- 329 views
Is Higgs alone?
by Marco Frasca in The Gauge Connection
I am back after the announcement by CERN of the restart of LHC. On May this year we will have also the first collisions. This is great news and we hope for the best and the best here is just the breaking of the Standard Model. The Higgs in the title is not Professor Higgs […]... Read more »
Marco Frasca. (2009) Exact solutions of classical scalar field equations. J.Nonlin.Math.Phys.18:291-297,2011. arXiv: 0907.4053v2
Marco Frasca. (2013) Scalar field theory in the strong self-interaction limit. Eur. Phys. J. C (2014) 74:2929. arXiv: 1306.6530v5
Marco Frasca. (2014) Exact solutions for classical Yang-Mills fields. arXiv. arXiv: 1409.2351v2
Biagio Lucini, & Marco Panero. (2012) SU(N) gauge theories at large N. Physics Reports 526 (2013) 93-163. arXiv: 1210.4997v2
- February 25, 2015
- 11:45 PM
- 400 views
Operationalizing replicator dynamics and partitioning fitness functions
by Artem Kaznatcheev in Evolutionary Games Group
As you know, dear regular reader, I have a rather uneasy relationship with reductionism, especially when doing mathematical modeling in biology. In mathematical oncology, for example, it seems that there is a hope that through our models we can bring a more rigorous mechanistic understanding of cancer, but at the same time there is the […]... 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
- February 21, 2015
- 11:55 PM
- 334 views
Pairwise games as a special case of public goods
by Artem Kaznatcheev in Evolutionary Games Group
Usually, when we are looking at public goods games, we consider an agent interacting with a group of n other agents. In our minds, we often imagine n to be large, or sometimes even take the limit as n goes to infinity. However, this isn’t the only limit that we should consider when we are […]... Read more »
Bomze, I.M. (1983) Lotka-Volterra equation and replicator dynamics: A two-dimensional classification. Biological Cybernetics, 48(3), 201-211. DOI: 10.1007/BF00318088
- February 14, 2015
- 10:00 PM
- 343 views
Evolutionary non-commutativity suggests novel treatment strategies
by Dan Nichol in Evolutionary Games Group
In the Autumn of 2011 I received an email from Jacob Scott, now a good friend and better mentor, who was looking for an undergraduate to code an evolutionary simulation. Jake had just arrived in Oxford to start his DPhil in applied mathematics and by chance had dined at St Anne’s College with Peter Jeavons, […]... Read more »
Tan, L., Serene, S., Chao, H.X., & Gore, J. (2011) Hidden randomness between fitness landscapes limits reverse evolution. Physical Review Letters, 106(19), 198102. PMID: 21668204
- February 13, 2015
- 11:00 PM
- 346 views
Evolutionrary game theory without interactions
by Artem Kaznatcheev in Evolutionary Games Group
When I am working on evolutionary game theory, I usually treat the models I build as heuristics to guide intuitions and push the imagination. But working on something as practical as cancer, and being in a department with many physics-trained colleagues puts pressure on me to think of moving more towards insilications or abductions. Now, […]... 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, 112(6), 1833-8. PMID: 25624490
- February 4, 2015
- 11:55 PM
- 285 views
Seeing edge effects in tumour histology
by Artem Kaznatcheev in Evolutionary Games Group
Some of the hardest parts of working towards the ideal of a theorist, at least for me, are: (1) making sure that I engage with problems that can be made interesting to the new domain I enter and not just me; (2) engaging with these problems in a way and using tools that can be […]... Read more »
Kaznatcheev, A., Scott, J.G., & Basanta, D. (2015) Edge effects in game theoretic dynamics of spatially structured tumours. arXiv. info:/
- January 28, 2015
- 11:55 PM
- 345 views
Space and stochasticity in evolutionary games
by Artem Kaznatcheev in Evolutionary Games Group
Two of my goals for TheEGG this year are to expand the line up of contributors and to extend the blog into a publicly accessible venue for active debate about preliminary, in-progress, and published projects; a window into the everyday challenges and miracles of research. Toward the first goal, we have new contributions from Jill […]... Read more »
Durrett, R., & Levin, S. (1994) The Importance of Being Discrete (and Spatial). Theoretical Population Biology, 46(3), 363-394. DOI: 10.1006/tpbi.1994.1032
- January 22, 2015
- 12:45 PM
- 373 views
Double public goods games and acid-mediated tumor invasion
by Artem Kaznatcheev in Evolutionary Games Group
Although I’ve spent more time thinking about pairwise games, I’ve recently expanded my horizons to more serious considerations of public-goods games. They crop up frequently when we are modeling agents at the cellular level, since interacts are often indirect through production of some sort of common extra-cellular signal. Unlike the trivial to characterize two strategy […]... Read more »
Peña, J., Lehmann, L., & Nöldeke, G. (2014) Gains from switching and evolutionary stability in multi-player matrix games. Journal of Theoretical Biology, 23-33. PMID: 24380778
- January 19, 2015
- 11:45 PM
- 346 views
What makes a discipline ‘mathematical’?
by Artem Kaznatcheev in Evolutionary Games Group
While walking to work on Friday, I was catching up on one of my favorite podcasts: The History of Philosophy without any Gaps. To celebrate the podcast’s 200th episode, Peter Adamson was interviewing Jill Kraye and John Marenbon on medieval philosophy. The podcasts was largely concerned with where we should define the temporal boundaries of […]... Read more »
Sylla, Edith D. (2011) Oxford Calculators. Encyclopedia of Medieval Philosophy, 903-908. DOI: 10.1007/SpringerReference_187789
- January 12, 2015
- 10:30 PM
- 350 views
Cataloging a year of blogging: the philosophical turn
by Artem Kaznatcheev in Evolutionary Games Group
Passion and motivation are strange and confusing facets of being. Many things about them feel paradoxical. For example, I really enjoy writing, categorizing, and — obviously, if you’ve read many of the introductory paragraphs on TheEGG — blabbing on far too long about myself. So you’d expect that I would have been extremely motivated to […]... Read more »
Kaznatcheev, A., Montrey, M., & Shultz, T.R. (2014) Evolving useful delusions: Subjectively rational selfishness leads to objectively irrational cooperation. Proceedings of the 36th annual conference of the Cognitive Science Society. arXiv: 1405.0041v1
- January 8, 2015
- 05:36 PM
- 405 views
What is going on at NASA?
by Marco Frasca in The Gauge Connection
As a physicist I have been always interested about experiments that can corroborate theoretical findings. Most of these often become important applications for everyday life or change forever the course of the history of mankind. With this in view, I am currently following with great interest the efforts by the NASA group headed by Harold […]... Read more »
Miguel Alcubierre. (2000) The warp drive: hyper-fast travel within general relativity. Class.Quant.Grav.11:L73-L77,1994. arXiv: gr-qc/0009013v1
David Garfinkle. (2003) Numerical simulations of generic singuarities. Phys.Rev.Lett. 93 (2004) 161101. arXiv: gr-qc/0312117v4
Marco Frasca. (2005) Strong coupling expansion for general relativity. Int.J.Mod.Phys.D15:1373-1386,2006. arXiv: hep-th/0508246v3
- January 6, 2015
- 11:45 PM
- 370 views
Cataloging a year of blogging: cancer and biology
by Artem Kaznatcheev in Evolutionary Games Group
Welcome to 111101111. Another year has come to an end, and it is time to embrace tradition and reflect on the past twelve months. In fact, I will try to do one better and start a new tradition: cataloging a year of blogging. Last year, I split up the 83 content heavy posts of 2013 […]... Read more »
Kaznatcheev, A., Scott, J.G., & Basanta, D. (2014) Edge effects in game theoretic dynamics of spatially structured tumours. arXiv. arXiv: 1307.6914v2
- December 12, 2014
- 05:30 PM
- 554 views
Diversity working together: cancer, immune system, and microbiome
by Jill Gallaher in Evolutionary Games Group
After a much needed few weeks of recovery, I’ve found some time to post about our annual IMO workshop held this year on the topic of viruses in cancer. Our group had the challenge of learning about all of the complexities of the human microbiome and its interactions with a cancerous lesion. The human microbiome, […]... Read more »
Human Microbiome Project Consortium. (2012) Structure, function and diversity of the healthy human microbiome. Nature, 486(7402), 207-214. DOI: 10.1038/nature11234
- December 8, 2014
- 06:59 AM
- 526 views
Standard Model at the horizon
by Marco Frasca in The Gauge Connection
Hawking radiation is one of the most famous effects where quantum field theory combines successfully with general relativity. Since 1975 when Stephen Hawking uncovered it, this results has obtained a enormous consideration and has been derived in a lot of different ways. The idea is that, very near the horizon of a black hole, a […]... Read more »
V. B. Bezerra, H. S. Vieira, & André A. Costa. (2013) The Klein-Gordon equation in the spacetime of a charged and rotating black hole. Class. Quantum Grav. 31 (2014) 045003. arXiv: 1312.4823v1
H. S. Vieira, V. B. Bezerra, & C. R. Muniz. (2014) Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation. Annals of Physics 350 (2014) 14-28. arXiv: 1401.5397v4
Leahy, D., & Unruh, W. (1983) Effects of a λΦ4 interaction on black-hole evaporation in two dimensions. Physical Review D, 28(4), 694-702. DOI: 10.1103/PhysRevD.28.694
Giovanni Collini, Valter Moretti, & Nicola Pinamonti. (2013) Tunnelling black-hole radiation with $φ^3$ self-interaction: one-loop computation for Rindler Killing horizons. Lett. Math. Phys. 104 (2014) 217-232. arXiv: 1302.5253v4
Marco Frasca. (2009) Exact solutions of classical scalar field equations. J.Nonlin.Math.Phys.18:291-297,2011. arXiv: 0907.4053v2
Marco Frasca. (2013) Scalar field theory in the strong self-interaction limit. Eur. Phys. J. C (2014) 74:2929. arXiv: 1306.6530v5
Marco Frasca. (2014) Hawking radiation and interacting fields. arXiv. arXiv: 1412.1955v1
- December 7, 2014
- 03:23 AM
- 459 views
Building the Best Computer
by Viputheshwar Sitaraman in Draw Science
The American spy/intelligence agency, IARPA, is working to address the shortcomings of existing supercomputers through its program, C3. [Infographic]... Read more »
Holmes, D., Ripple, A., & Manheimer, M. (2013) Energy-Efficient Superconducting Computing—Power Budgets and Requirements. IEEE Transactions on Applied Superconductivity, 23(3), 1701610-1701610. DOI: 10.1109/TASC.2013.2244634
- December 3, 2014
- 10:45 PM
- 540 views
Memes, compound strategies, and factoring the replicator equation
by Artem Kaznatcheev in Evolutionary Games Group
When you work with evolutionary game theory for a while, you end up accumulating an arsenal of cute tools and tricks. A lot of them are obvious once you’ve seen them, but you usually wouldn’t bother looking for them if you hadn’t know they existed. In particular, you become very good friends with the replicator […]... Read more »
Börgers, T., & Sarin, R. (1997) Learning through reinforcement and replicator dynamics. Journal of Economic Theory, 77(1), 1-14. DOI: 10.1006/jeth.1997.2319
- December 1, 2014
- 02:00 AM
- 337 views
Is cancer really a game?
by Philip Gerlee in Evolutionary Games Group
A couple of weeks ago a post here on TheEGG, which was about evolutionary game theory (EGT) and cancer, sparked a debate on Twitter between proponents and opponents of the idea of using EGT to study cancer. Mainly due to the limitations inherent to Twitter the dialogue fizzled. Instead, here we are expanding ideas in […]... Read more »
Marusyk, A., Tabassum, D.P., Altrock, P.M., Almendro, V., Michor, F., & Polyak, K. (2014) Non-cell-autonomous driving of tumour growth supports sub-clonal heterogeneity. Nature, 514(7520), 54-8. PMID: 25079331
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