Parkinson's disease series

# Walking, it’s complicated

One might think it is so obvious how we walk. Some might take it so for granted. However, biology of walking is far from being simple. Perfected by evolution, walking involves a super complex interplay between so many brain structures many of whose role is not even partly clear. Let me take a diversion before… Continue reading Walking, it’s complicated

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# How to get the PRC from timings (Notes)

The following method describes how can one obtain the phase reset curve (PRC) as a function of timings of pulses. IT turns out using the PRC of a system we could basically say a lot about the interactions between neurons without actually simulating the whole differential equations taking the maps route. I thought I will… Continue reading How to get the PRC from timings (Notes)

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# Newtons iteration as a map – Part 2

It is fun to look at how the iterates move in newton's iterations in the case of \$latex Sin(x) \$ function. The iterate derived in the previous post is as follows \$latex x(n+1) = x(n) - Tan(x(n)) \$ If one start at start around 2 we quickly converge to the solution. 🙂 The sin function… Continue reading Newtons iteration as a map – Part 2

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# Newton’s iteration as map – Part 1

Newton Iterations is a well known methodology to compute the solution of the problem f(x) = 0. It is very interesting to look at it as a map. The iteration step is as follows for x(n+1). Let the function be Sin(x) then it results in the following map The plot of the function and the… Continue reading Newton’s iteration as map – Part 1

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# Corona Virus Live Page

I will be adding information about Coronavirus and its spread as and when I find it relevant. Comprehensive update BBC 2. Good news? 3. The Maths 01. Prediction of how far it can reach. 4. Data Set Wolfram