Inverse Modelling Group
Roland Potthast, University of Reading, UK
 
Science Flash
Recent results and activities in our group, 2010_02_09.

Working on Cognitive Neurodynamics

The neural field equation is an important and basic equation which reflects the structure of our brain. It summarizes the activity of millions of neurons into a mean field. The activity of neurons in some little area of the brain then leads to the spread of brain potentials, which is modelled by a kernel w(x,y), which describes the influence of the neurons at point y on the neurons at point x. The change in the potential at x is proportional to the integral of all influences over y in some region B of the space (B for "brain").

Recently, our group on cognitive neurodynamics with Peter beim Graben, R.P. and Dimitris Pinotsis analysed the existence of solutions of this integro- differential equation via the Banach fix point theorem. A global existence result for inhomogeneous kernels w could be proven. This builds the basis for further analysis, modelling and the treatment of inverse problems.

ResearchGroup
Gö: Uni Göttingen, Ger; J: Research Center Jülich, Ger; Rdg: Uni Reading, UK

    Further Group Members
  • Daniel Langhans
  • Tobias Schwab
  • Florian Lackert

    Local Collaborators
  • Dr. Timothy Astin (Archaeology)
  • Prof. Simon Chandler-Wilde (Maths)
  • Dr. David Ezra (Oxford)
  • Dr. Peter beim Graben (Linguistics)
  • Prof. Peter Grindrod (Maths)
  • Prof. Geoff Mitchell (Optics)
  • Dr. Tobias Kuna (Maths)
  • Dr. Slawek Nasuto (Engineering)
  • Prof. Doug Saddy (Linguistics)
 
 

 

Today's Topic

Good morning!

Inverse problems are a broad and fascinating area which has rapidly grown over the last 20 years. Many new ideas and techniques have been developed to identify quantities in complex systems. You will find papers, ideas and methods reflected in the contributions and links on this page.

Have a great day! Roland Potthast

Upcoming and recent Events

Summer School Cognitive Neurodynamics Reading
Participate in the Reading Cognitive Neuroscience Summer School 2009 and
  • learn what cognitive neuroscience is about!
  • explore how our brain works!
  • get to know how interdisciplinary research is carried out!
  • study how cognitive processes like language are reflected in the neuron-based brain processes!

The Summer School provides the opportunity to spend some days in a stimulating environment at Reading and have fun together with an international range of first class researchers!

July 06 - 10, 2009, University of Reading, UK.

For more details see Summer School Webpage.

Reading Analytic Workbench Release 1.0
Researchers and developers of the University of Reading have designed the Reading Analytic Workbench (RAW)

Reading Analytic Workbench

  • is a web-based computing platform developed at the University of Reading,
  • provides access to the advanced computing clusters run at the Centre for Integrative Neuroscience and Neurodynamics (CINN) and the Department of Mathematics at Reading,
  • offer you a simple way to access a wide range of specialised knowledge and special algorithms developed by researchers and staff of the University.

For more details see RAW Access Online.

Studentships available

There are several studentsships available in our working groups, inlcuding one studentship to work on data assimilation for dynamical systems and several studentships in our Cognitive Systems Group at the Centre for Integrative Neuroscience and Neurodynamics (CINN). (These studentships assume British nationality.)

For more details see

Special Issue Integral Equations and Applications
A special issue of the Journal of Integral Equations and Applications honoring Rainer Kress has been published as Volume 21, Number 2 in Summer 2009 (Editor R. Potthast).

The issue includes contributions by C. J. S. Alves and N. F. M. Martins; 153-178 , T. Arens and A. Lechleiter; 179-202, F. Cakoni, D. Colton and H. Haddar; 203-227, S. N. Chandler-Wilde, I. G. Graham, S. Langdon and M. Lindner; 229-279, B. Hofmann and L. V. Wolfersdorf; 281-295, J. Liu and R. Potthast; 297-315 and N. S. Tezel; 317-328.

For more details see JIEA Online.

Workshop Dynamical Systems in Language
As part of our Cognitive Neuroscience research agenda a two day workshop on Dynamical Systems in Language is organized at the University of Reading, September 08 - 09, 2008.

The aim of the workshop is to bridge the gaps between neural computation and symbolic cognition and will focus on issues such as: computational mechanics, grammar classification by dynamical systems, dynamical language processing, connectionist parsing, dynamical field approaches to symbolic cognition.

For more details see Workshop Webpage.

Special Issue of Cognitive Neurodynamics
Peter beim Graben, Doug Saddy and Roland Potthast are editors for a special issule of the new Springer Journal Cognitive Neurodynamics. The task is to collect recent developments in cognitive neurodynamics, for example the representation of cognitive processes via dynamic fields. The issue is scheduled for the second half of 2008 to appear.

[Show all recent events]

 
Christian Blog
Thoughts and reasoning about christian faith today. Date: 2010_02_09.

JN Factory - Christian Blog: Nature I - A fascinating environment ...

Monday, Feb 8, 2010. We are a part of nature. We are surrounded by plants and animals. We breathe the air which is like a thin layer around our globe. We consist out of water, bones, flesh, blood ... Nature is around us and in us.

We live in a fascinating environment. Ever since humans have tried to explore nature. We have started explorations to far away countries, found new continents, have surrounded our planet and have managed to travel into the space around the earth. We are curious beings, we want to know, we want to explore, we want to influence and to use things which are there.

Natural laws describe the reliability of nature. We do not live in a completely chaotic world. On the contrary, many things are reliable. We can explore the laws which govern the events. We know that the sun is rising in the morning and going down in the evening. We see rain coming down, a river swelling, soil becoming wet and then plants growing. We have made our observations more systematic over the centuries - and natural science has evolved.

Today, we have subdivided the objects of our observations into different regimes. Physics looks into the lifeless nature, chemistry into processes changing substances, biology into the area of life and life processes, medicine into the anatomy and functionality of the human body. Natural science is a wide a extremely fascinating area, since it explores the world we live in. It is important for us to know and to control and influence the world around us. And we have been extremely successful with it.

Over the next days we want to explore the biblical view into our behavior. The world as we explore it is God's creation. We need to talk about the relation of God to this creation, about the natural laws, about reliability, about faith and God's work within creation. There are many exciting questions to be asked. [R.W.E.P., Jesus-Network.eu]


My Christian Blog can be found on the site of the Jesus-Network

For online Bible texts please visit our translation project Jesus Network Bible, where our team works on a translation of the bible into modern English and provide notes, comments and disucssions on the texts.