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- A Gerisch, J Lang, H Podhaisky, R Weiner, Alf Gerisch, Helmut Podhaisky +2 others
- 2006

Linearly-implicit two-step peer methods are successfully applied in the numerical solution of ordinary differential and differential-algebraic equations. One of their strengths is that even high-order methods do not show order reduction in computations for stiff problems. With this property, peer methods commend themselves as time-stepping schemes in finite… (More)

- A Gerisch, J G Verwer
- 2000

In this paper we consider the numerical solution of 2D systems of certain types of taxis-diiusion-reaction equations from mathematical biology. By spatial discretization these PDE systems are approximated by systems of positive, nonlinear ODEs (Method of Lines). The aim of this paper is to examine the numerical integration of these ODE systems for low to… (More)

- A Gerisch, A T Lawniczak, B Di Stefano
- 2003

This paper describes the main building blocks of a simulation environment of the OSI Network Layer of packet-switching networks. The need for such a tool is presented and pitfalls of previous solutions are described. Remedies provided by the most recent solution are discussed. Architecture, organisation, and architectural decisions are explained.

- A Gerisch, H Podhaisky
- 2000

Angiogenesis – the process by which new blood vessels grow into a tissue from surrounding parent vessels – is an important process in many areas of medicine. Here we consider the numerical simulation of a PDE model of tumor-induced angiogenesis. It contains convection (migration), diffusion and reaction terms. Despite the restriction to one specific model,… (More)

- K P Maxie, A T Lawniczak, A Gerisch
- 2004

We study the effects of network connection topology and routing on packet's average path length and average delivery speed in a packet switching network model of the OSI Network Layer. After describing the model we present the study how average path length and average speed of delivery of packets are affected by network size, network connection topology and… (More)

- J M A Ashbourn, L Geris, A Gerisch, C J S Young
- 2010

(37 articles) computational mathematics (149 articles) biomedical engineering (83 articles) biomechanics Articles on similar topics can be found in the following collections Email alerting service here the box at the top right-hand corner of the article or click Receive free email alerts when new articles cite this article-sign up in A finite-volume method… (More)

The dynamic interplay between collective cell movement and the various molecules involved in the accompanying cell signalling mechanisms plays a crucial role in many biological processes including normal tissue development and pathological scenarios such as wound healing and cancer. Information about the various structures embedded within these processes… (More)

Instructing others to move is fundamental for many populations, whether animal or cellular. In many instances, these commands are transmitted by contact, such that an instruction is relayed directly (e.g. by touch) from signaller to receiver: for cells, this can occur via receptor-ligand mediated interactions at their membranes, potentially at a distance if… (More)

- A Gerisch, L Geris, H Van Oosterwyck, J Vander Sloten, R Weiner
- 2004

For the study of peri-implant tissue differentiation, a repeated sampling bone chamber has been developed. Mathematical models that describe tissue differentiation help to gain insight into the processes taking place in the chamber. We consider here the numerical solution of a taxis-diffusion-reaction partial differential equation model. The general… (More)

- A Gerisch, A T Lawniczak, R A Budiman, H E Ruda, H Fuk´s
- 2003

Our research addresses the problem of bridging large time and length scale gaps in simulating atomistic processes during thin film deposition. We introduce a new simulation approach based on a discrete description of atoms so that the unit length scale coincides with the atomic diameter. The interaction between atoms is defined using a coarse-grained… (More)

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