Therapeutic vaccination for chronic hepatitis B in the Trimera mouse model

Therapeutic vaccination for chronic hepatitis B in the Trimera mouse modelrnRaja Vuyyuru and Wulf O. BöcherrnHepatitis B is a liver disease caused by Hepatitis B virus (HBV). It ranges in severity from a mild illness, lasting a few weeks (acute), to a serious long-term (chronic) illness that can lead either to liver disease or liver cancer. Acute infection is self limiting in most adults, resulting in clearance of virus from blood and liver and the development of lasting immunity. However 5% of acutely infected patients do not resolve primary HBV infection, leading to chronic infection with persistent viral replication in the liver. The strength of the initial antiviral immune response elicited to Hepatitis B determines the subsequent clinical outcome. A strong and broad T cell response leads to spontaneous resolution. Conversely, a weak T cell response favours viral persistence and establishment of chronic disease. While treatments using interferon-alpha or nucleos(t)ide analogues can reduce disease progression, they rarely lead to complete recovery. The lack of a suitable small animal model hampered efforts to understand the mechanisms responsible for immune failure in these chronic patients.rnIn current study we used Trimera mice to study the efficacy of potential vaccine candidates using HBV loaded dendritic cells in HBV chronic infection in vivo. The Trimera mouse model is based on Balb/c mice implanted with SCID mouse bone marrow and human peripheral blood mononuclear cells (PBMC) from HBV patients, and thus contains the immune system of the donor including their HBV associated T cell defect.rnIn our present study, strong HBV specific CD4+ and CD8+ T cell responses were enhanced by therapeutic vaccination in chronic HBV patients. These T cell responses occurred independently of either the course of the disease or the strength of their underlying HBV specific T cell failure. These findings indicate that the Trimera mouse model represents a novel experimental tool for evaluating potential anti-HBV immunotherapeutic agents. This in vivo data indicated that both the HBV specific CD4+ cell and CD8+ responses were elicited in the periphery. These HBV specific T cells proliferated and secreted cytokines upon restimulation in Trimera mice. The observation that these HBV specific T cells are not detectable directly ex vivo indicates that they must be immune tolerant or present at a very low frequency in situ. HBV specific T cell responses were suppressed in Trimera mice under viremic conditions, suggesting that viral factors might be directly involved in tolerizing or silencing antiviral T cell responses. Thus, combination of an effective vaccine with antiviral treatment to reduce viremia might be a more effective therapeutic strategy for the future. Such approaches should be tested in Trimera mice generated in HBV or HBs expressing transgenic mice before conducting clinical trials.rn

Periodicities in the Hodgkin-Huxley model and versions of this model with stochastic input

A field of computational neuroscience develops mathematical models to describe neuronal systems. The aim is to better understand the nervous system. Historically, the integrate-and-fire model, developed by Lapique in 1907, was the first model describing a neuron. In 1952 Hodgkin and Huxley [8] described the so called Hodgkin-Huxley model in the article “A Quantitative Description of Membrane Current and Its Application to Conduction and Excitation in Nerve”. The Hodgkin-Huxley model is one of the most successful and widely-used biological neuron models. Based on experimental data from the squid giant axon, Hodgkin and Huxley developed their mathematical model as a four-dimensional system of first-order ordinary differential equations. One of these equations characterizes the membrane potential as a process in time, whereas the other three equations depict the opening and closing state of sodium and potassium ion channels. The membrane potential is proportional to the sum of ionic current flowing across the membrane and an externally applied current. For various types of external input the membrane potential behaves differently. This thesis considers the following three types of input: (i) Rinzel and Miller [15] calculated an interval of amplitudes for a constant applied current, where the membrane potential is repetitively spiking; (ii) Aihara, Matsumoto and Ikegaya [1] said that dependent on the amplitude and the frequency of a periodic applied current the membrane potential responds periodically; (iii) Izhikevich [12] stated that brief pulses of positive and negative current with different amplitudes and frequencies can lead to a periodic response of the membrane potential. In chapter 1 the Hodgkin-Huxley model is introduced according to Izhikevich [12]. Besides the definition of the model, several biological and physiological notes are made, and further concepts are described by examples. Moreover, the numerical methods to solve the equations of the Hodgkin-Huxley model are presented which were used for the computer simulations in chapter 2 and chapter 3. In chapter 2 the statements for the three different inputs (i), (ii) and (iii) will be verified, and periodic behavior for the inputs (ii) and (iii) will be investigated. In chapter 3 the inputs are embedded in an Ornstein-Uhlenbeck process to see the influence of noise on the results of chapter 2.

Analysis and numerical solution of the Peterlin viscoelastic model

Liquids and gasses form a vital part of nature. Many of these are complex fluids with non-Newtonian behaviour. We introduce a mathematical model describing the unsteady motion of an incompressible polymeric fluid. Each polymer molecule is treated as two beads connected by a spring. For the nonlinear spring force it is not possible to obtain a closed system of equations, unless we approximate the force law. The Peterlin approximation replaces the length of the spring by the length of the average spring. Consequently, the macroscopic dumbbell-based model for dilute polymer solutions is obtained. The model consists of the conservation of mass and momentum and time evolution of the symmetric positive definite conformation tensor, where the diffusive effects are taken into account. In two space dimensions we prove global in time existence of weak solutions. Assuming more regular data we show higher regularity and consequently uniqueness of the weak solution. For the Oseen-type Peterlin model we propose a linear pressure-stabilized characteristics finite element scheme. We derive the corresponding error estimates and we prove, for linear finite elements, the optimal first order accuracy. Theoretical error of the pressure-stabilized characteristic finite element scheme is confirmed by a series of numerical experiments.