GLAD KNOWS ELEMENTARY  

Home of DMP   

I am Per-Erik Bergner. Welcome to this my website.

During my years (or rather several decades) of work on combining medicine and biology with physics and mathematics, I have experienced in the literature something that could be described as a gap created by frequent negligence of elementary issues involved. One could say that the gap consists of the presented analysis lacking elementary base, and often this is hidden by a wealth of mathematical technicalities. My ambition has been to narrow that gap.

Currently most of the material on this web site revolves around my book DMP: A kinetics of macroscopic particles in open heterogeneous systems. Click on the link to reach a page where you can download the latest edition.

Molecules, red blood-cells, cars (with driver), and customers (as in queuing theory) are in DMP examples of “particles” because of their common and classic property: only their momentary state – and not prior history – is relevant for their behaviour (DMP = Dynamics of Markovian Particles).

The content of the book is very much based on the probability concept and the notion of stochastic process. The content of the book could be looked at as an application of those notions, and it has motivated me to include here a short reflection on determinism in observed stochastic processes: On a Stability of Stochastic Processes. I have also taken the liberty to include some naive thoughts of mine about the probability concept: Probability as a notion in physics.

Although, historically speaking, the incentive of some of my work might be placed on the “tracer theory” of the later half of last century, its relevance for DMP is not more than is that of steam engine for today's thermodynamics (i.e. it could be ignored). I have nevertheless included here some comments on that old thinking: A Tracer Kinetics that was.

Finally, and on a somewhat different note, I have also incorporated an introduction to “qualitative analysis”, which might be described as an analysis of data that statisticians refuse to touch, even with the proverbial pole. In medicine this approach might be, in a literary sense, a life saver. Read more here: Qualitative Analysis. An application of DMP presented in my book applies that kind of thinking.