Category Archives: Math and Bio

A review about progress in dynamical systems

Posted on January 14, 2015 by Artem Novozhilov

NINETY PLUS THIRTY YEARS OF NONLINEAR DYNAMICS: LESS IS MORE AND MORE IS DIFFERENT I review the early (1885–1975) and more recent history of dynamical systems theory, identifying key principles and themes, including those of dimension reduction, normal form transformation and unfolding of degenerate … Continue reading →

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Beyond Mendel: modeling in biology

Posted on January 14, 2015 by Artem Novozhilov

Modeling has a long and distinguished history in biology, and is becoming increasingly important as the growing availability of enormous datasets challenges the ability of biologists to extract understanding from knowledge [1]. The construction of models for biological systems is … Continue reading →

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Can One Explain Schemes to a Biologist?

Posted on January 2, 2015 by Artem Novozhilov

An interesting blog post in n-Category cafe: post

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Mathematical analysis of quasispecies model

Posted on August 21, 2014 by Artem Novozhilov

Finally I uploaded a third our paper on the analysis of quasispecies model. Here all the links together: Linear algebra of the permutation invariant Crow-Kimura model of prebiotic evolution (This text deals with the symmetric or permutation invariant fitness landscape and … Continue reading →

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On the use of differential equations

Posted on January 29, 2014 by Artem Novozhilov

The complex dynamics of wishful thinking: The critical positivity ratio We examine critically the claims made by Fredrickson and Losada (2005) concerning the construct known as the “positivity ratio”. We find no theoretical or empirical justification for the use of … Continue reading →

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Upcoming conference

Posted on October 24, 2013 by Artem Novozhilov

Here is an interesting (potentially) conference to attend: SIAM Conference on the Life Sciences

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On the biological insight

Posted on September 1, 2013 by Artem Novozhilov

I claim that I am a researcher in mathematical biology. By this I mostly understand studying biological problems by using the mathematical modeling method. Additionally, I am interested in analyzing properties of mathematical models arising in mathematical biology. I strongly … Continue reading →

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Re-discovery of the Riemann integral

Posted on August 26, 2013 by Artem Novozhilov

Here is a paper A Mathematical Model for the Determination of Total Area Under Glucose Tolerance and Other Metabolic Curves, which has around 200 citations on Google Scholar. The objective of the paper is, according to the abstract, “To develop a … Continue reading →

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What are the origins of Math?

Posted on July 17, 2013 by Artem Novozhilov

THE RECENT DISCOVERY OF THE HIGGS BOSON PARTICLE, which was predicted by mathematical formulas, shows the power of math to describe and predict the world around us–from the helical structure of DNA and the spirals of galaxies, to how rapidly epidemics spread and our universe is … Continue reading →

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Zero-one law and most recent common human ancestor

Posted on June 3, 2013 by Artem Novozhilov

From Google+ by Terry Tao: A counter-intuitive manifestation of a zero-one law: according to computer models. everyone who was alive in 3000 BCE is either an ancestor of everyone alive today (including people in extremely remote and isolated communities), or else an ancestor of nobody alive today; … Continue reading →

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