Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male, one female) every month from the second month on.
Problem 2:
Modelling/simulating a positive feedback loop imbedded inside a negative coherent feedback loop type 3 (http://2009.igem.org/wiki/images/thumb/c/c3/FFd_global.jpg/250px-FFd_global.jpg). Doing this will have many benefits like in order to simulate this, we generate output data files in .csv files. Use this file's data to plot it (and learn a graphical plotter in the process) and better understand what is going on. This is how most genes are regulated, so we can get a deeper understanding of the biology. Also, this the output of this can be transient peak, we can investigate what parameter changes can result in sharpening of this peak to a pulse. Can neuron firing modeled like this for a particular set of parameter values (the physical meaning of those parameters will not be gene activation or silencing, rather they will be some calcium reservoir getting used up or something or I might be completely wrong (most likely :P))?
Also, I thought of starting Project Euler problem list (https://projecteuler.net/) with python to get a hang of the language. I would suggest those new to this to try the first few problems (later ones will benefit only those interested in maths). Doing the first problem really made me marvel programming. It took me more than 30 mins to do it correct. In the end, code was only 6 lines out which only 2 had any calculation. I have done till problem 3, Those who are brilliant in maths and programming can take up this challenge: Try solving the most difficult ones :).
Project Euler got me thinking, it is of immense benefit to physics and maths student but no so much to biologists to will deal with say strings or data files, image data files, video data files. So, should there be an equivalent of Project Euler in Biology that will help students like us immensely? Few google searches later, I have found one. It is called Project Rosalind I think: http://rosalind.info/problems/locations/. Will update more on this if I get useful stuff from it. Everyone curious about this, please let me know if you find anything usefull/helpful.
Also, we students have another exercise at hand: Taking DNA sequence as input and giving back protein sequence(s) (if they exist)... So 3 problems for the week already to think about.
Suggestions welcome.. and necessary
Cheers,
Arunabha
Suppose a newly-born pair of rabbits, one male, one female, are
put in a field. Rabbits are able to mate at the age of one month so that
at the end of its second month a female can produce another pair of
rabbits. Suppose that our rabbits never die and that
the female always produces one new pair (one male,
one female) every month from the second month on.
How many pairs of rabbits in a year?