Hans H. Diebner

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An evolutionary stability perspective on oncogenesis control in mature T-cell populations

Hans H. Diebner, Jörg Kirberg, Ingo Roeder

Journal of Theoretical Biology > 2016 > 389 > Complete > 88-100

Here we present a mathematical model for the dynamics of oncogenesis control in mature T-cell populations within the blood and lymphatic system. T-cell homeostasis is maintained by clonal competition for trophic niches (survival signals stimulated through interactions with self-antigens bound to major histocompatibility molecules), where a clone is defined as the set of T cells carrying the same antigen...

article

Process-based approach to modeling recurrent-event data explicated on the basis of occurrences of tooth losses in two different prosthetic treatment concepts

Hans H. Diebner, Birgit Marré, Ingo Roeder, Michael H. Walter

Trials > 2016 > 17 > 1 > 1-10

Background In studies comparing different prosthetic treatment concepts the repeated loss of teeth was chosen as the primary outcome. The resulting data appear to represent a data structure of recurrent events. However, the application of an existing method for recurrent events is far from straightforward. Often only the first event or the final state is analyzed using Kaplan–Meier survival statistics,...

article

Usability of synchronization for cognitive modeling

Hans H. Diebner, Florian Grond

Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear... > 2005 > 25 > 4 > 905-910

We discuss the synchronization features of a previously introduced adaptive system for dynamics recognition in more detail. We investigate the usability of synchronization for modeling and parameter estimations. It is pointed out inhowfar the adaptive system based on synchronization can become a powerful tool in modeling. The adaptive system can store modules of pre-adapted dynamics and is potentially...

article

Local Lyapunov exponents for dissipative continuous systems

Florian Grond, Hans H. Diebner

Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear... > 2005 > 23 > 5 > 1809-1817

We analyze a recently proposed algorithm for computing Lyapunov exponents focusing on its capability to calculate reliable local values for chaotic attractors. The averaging process of local contributions to the global measure becomes interpretable, i.e. they are related to the local topological structure in phase space. We compare the algorithm with the commonly used Wolf algorithm by means of analyzing...

article

A deterministic entropy to monitor the evolution of microscopically simulated far-from-equilibrium structures

Hans H. Diebner, Otto E. Rossler

Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear... > 2004 > 19 > 4 > 699-703

The cosmos seems live on entropy according to Boltzmann. Prigogine calls ''live'' structures like stars, flames and organisms ''dissipative structures''. A new functional of the microstate of realistic computer-implementable far-from-equilibrium systems is explained in its geometric and intuitive content. It can be combined with an exactly invertible algorithm to reveal the essence of a microscopically...

article

A robust, locally interpretable algorithm for Lyapunov exponents

Florian Grond, Hans H. Diebner, Sven Sahle, Adolf Mathias, more

Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear... > 2003 > 16 > 5 > 841-852

An enhanced version of the well known Wolf algorithm for the estimation of the Lyapunov characteristic exponents (LCEs) is proposed. It permits interpretation of the local behavior of non-linear flows. The new variant allows for reliable calculation of the non-uniformity-factors (NUFs). The NUFs can be interpreted as standard deviations of the LCEs. Since the latter can also be estimated by the Wolf...

article

Towards a second cybernetics model for cognitive systems

Hans H. Diebner, Axel A. Hoff, Adolf Mathias, Horst Prehn, more

Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear... > 2002 > 13 > 7 > 1465-1474

We introduce an adaptive system for dynamics recognition. Thereby, an externally presented dynamics (stimulus) is mapped onto a mirror dynamics which is capable to simulate (simulus). A sudden change of the external dynamics leads to an surprisingly quick re-adaptation of the simulus, even if the presented dynamics is chaotic. The system consists of an internal pool of dynamical modules. The modules...

article

A realtime adaptive system for dynamics recognition

Hans H. Diebner, Sven Sahle, Axel A. Hoff

Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear... > 2002 > 13 > 4 > 781-786

We propose and investigate an adaptive system for the recognition of the dynamics of an external time series. The system consists of a pool of internal dynamical elements, each of which represents a specific dynamical type. Each of the elements is forced by the external time series to the latter dynamics. We use the absolute value of the control signal, i.e., the strength of forcing, as a criterion...

article

A simulating cognitive system with adaptive capability

Hans H. Diebner

BioSystems > 2002 > 64 > 1-3 > 141 - 147

Dedicated to the memory of Michael Conrad, this paper builds on his seminal ideas expressed in his famous book Adaptability, as well as in his later works. We investigate a recently published adaptive system for the instantaneous recognition of dynamics with respect to its adaptability to the Lorenz system. The system consists of a pool of internal dynamical elements. These elements are defined through...

article

Genesis, sequestration and survival of Plasmodium falciparum gametocytes: parameter estimates from fitting a model to malariatherapy data

Martin Eichner, Hans H. Diebner, Louis Molineaux, William E. Collins, more

Transactions of the Royal Society of Tropical Medicine and Hygiene > 2001 > 95 > 5 > 497-501

Plasmodium falciparum malaria is one of mankind's main killers. Part of the parasite's life-cycle is spent in human blood, mainly as asexual stages. A fraction of the asexual parasites develops into gametocytes (gamete precursors) while sequestered in deep tissues. After re-entering the circulation, gametocytes can be picked up by a mosquito to continue the parasite's life-cycle. We present estimates...

article

Modelling the Transition of Asexual Blood Stages of Plasmodium falciparum to Gametocytes

HANS H. DIEBNER, MARTIN EICHNER, LOUIS MOLINEAUX, WILLIAM E. COLLINS, more

Journal of Theoretical Biology > 2000 > 202 > 2 > 113-127

In this paper, we investigate the transition of asexual blood stages of P. falciparum to gametocytes. The study is based on daily data, collected from 262 individual courses of parasitaemia. We propose several mathematical models that follow biological reasoning. The models are fitted with maximum likelihood and are compared with each other. The models differ in the assumptions made about the mortality...

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Search results for: Hans H. Diebner

An evolutionary stability perspective on oncogenesis control in mature T-cell populations

Process-based approach to modeling recurrent-event data explicated on the basis of occurrences of tooth losses in two different prosthetic treatment concepts

Usability of synchronization for cognitive modeling

Local Lyapunov exponents for dissipative continuous systems

A deterministic entropy to monitor the evolution of microscopically simulated far-from-equilibrium structures

A robust, locally interpretable algorithm for Lyapunov exponents

Towards a second cybernetics model for cognitive systems

A realtime adaptive system for dynamics recognition

A simulating cognitive system with adaptive capability

Genesis, sequestration and survival of Plasmodium falciparum gametocytes: parameter estimates from fitting a model to malariatherapy data

Modelling the Transition of Asexual Blood Stages of Plasmodium falciparum to Gametocytes

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