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# Category Archives: Math and Bio

## A review about progress in dynamical systems

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

## Beyond Mendel: modeling in biology

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

Posted in History, Math 484: Math in Biology, Math and Bio, Publishing
Tagged Applied mathematics, Complexity, Math and Bio, publishing
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## Can One Explain Schemes to a Biologist?

An interesting blog post in n-Category cafe: post

## Mathematical analysis of quasispecies model

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

## On the use of differential equations

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

## Upcoming conference

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

## On the biological insight

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