A segregated model was proposed to investigate the inherent relationships between growth, substrate consumption, cell differentiation and product formation in a Bacillus subtilis fermentation producing heterologous amylase in a 22-l bioreactor. The segregated model includes three distinguishable cell states and the transition from vegetative phase to sporangium and finally to mature spore. An a...

In this study, percentages of CD39(+) Treg and Th17 cells were compared between relapsing-remitting MS patients and controls and were related to the vitamin D status. The Th17 cell population was expanded in about 40% of the MS patients. In MS patients in remission, but not during relapse, a positive association was found between Th17 cell and CD39(+) Treg percentages (r=0.468, p=0.007). Since ...

Proliferating cell populations at steady state growth often exhibit broad protein distributions with exponential tails. The sources of this variation and its universality are of much theoretical interest. Here we address the problem by asymptotic analysis of the Population Balance Equation. We show that the steady state distribution tail is determined by a combination of protein production and ...

Hepatitis C virus (HCV) is a highly mutable RNA virus with a high propensity for chronic infection, affecting over 3% of the world's population. Persistent infection is associated with chronic hepatitis that may progress to cirrhosis and hepatocellular carcinoma over many years of infection. While cellular immune response plays a key role in viral infection, HCV persistence is associated with a...

A novel mathematical model to simulate stem cells differentiation into specialized cells of connective or non-connective tissues is discussed. The model is based upon material balances for extra cellular matrix compounds, growth factors and nutrients coupled with a mass-structured population balance describing cell growth, proliferation and differentiation. The model is written in a general for...

We shall assume, of course, that the objective of hyperthermia is to destroy the malignant cells. Destruction definitely needs energy. Description and quality assurance of hyperthermia use the Pennes heat equation to describe the processes. However the energy balance of the Pennes-equation does not contain the hyperthermic cell-destruction energy, which is a mandatory factor of the process. We ...

I n t r o d u c t i o n The interest in the development of detailed mathematical models for biological processes is undergoing a tremendous boost in recent years among the Chemical Engineers. This is because of the various purposes that a mathematical model of biological processes can serve [16]. The primary purpose is the growing interest in a biochemical route to the manufacture of commodity ...

The number of neurons in the mammalian brain is determined by a balance between cell proliferation and programmed cell death. Recent studies indicated that Bcl-X(L) prevents, whereas Caspase-3 mediates, cell death in the developing nervous system, but whether Bcl-X(L) directly blocks the apoptotic function of Caspase-3 in vivo is not known. To examine this question, we generated bcl-x/caspase-3...

Single-cell expression profiling reveals the molecular states of individual cells with unprecedented detail. Because these methods destroy cells in the process of analysis, they cannot measure how gene expression changes over time. However, some information on dynamics is present in the data: the continuum of molecular states in the population can reflect the trajectory of a typical cell. Many ...