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Biomedical subjects

E Mosekilde

Publications and source records attributed to E Mosekilde.

40 records · Page 3Linked to original sources
PubMed1989

Modeling absorption kinetics of subcutaneous injected soluble insulin.

Absorption of subcutaneously injected soluble insulin deviates markedly from simple first-order kinetics and depends both on the volume and concentration of the injected solution. This paper presents a model of the absorption process in which insulin is presumed to be present in subcutis in a low molecular weight form, a high molecular weight form, and an immobile form where the molecules are bound to the tissue. The model describes how diffusion and absorption gradually reduce the insulin concentrations in the subcutaneous depot and thereby shift the balance between the three forms in accordance with usual laws of chemical kinetics. By presuming that primarily low molecular weight insulin penetrates the capillary walls, the model can account for experimentally observed variations in the absorption rate over a wide range of volumes and of concentrations. The model is used to determine the effective diffusion constant D for insulin in subcutis, the absorption rate constant B for low molecular weight insulin, the equilibrium constant Q between high and low molecular weight insulin, the binding capacity C for insulin in the tissue, and the average life time T for insulin in its bound state. Typical values for a bolus injection in the thigh of fasting type I diabetic patients are D = 0.9 x 10(-4) cm2/min, B = 1.3 X 10(-2)/min, and Q = 0.13 (ml/IU)2. Binding of insulin in the tissue is significant only at small concentrations. The binding capacity is of the order of C = 0.05 IU/cm3 with a typical average life time in the bound state of T = 80.0 min. Combined with a simplified model for distribution and degradation of insulin in the body, the absorption model is used to simulate variations in plasma free insulin concentrations with different delivery schedules, i.e., bolus injection and dosage by means of an infusion pump. The simulations show that a pump repetition frequency of 1-2 per hr is sufficient to secure an almost constant plasma insulin concentration.

Absorption↗
PubMedDate not supplied

Stochastic simulation of vertebral trabecular bone remodeling.

Bone remodeling changes bone mass, architecture, and thereby bone strength, during normal aging. These changes seem to be accelerated during the menopause. Several therapeutic agents have been used in order to delay the onset of the menopause-related changes. The effects of these agents on the remodeling process have been determined histomorphometrically in several short-term clinical studies, but data from long-term clinical studies are difficult to achieve, as are data on the influence on bone strength. The aim of this study was to develop a computer stimulation model that could assist in predicting the long-term effects of changes in the remodeling process on bone mass, trabecular thickness, and perforations. The paper presents such a stochastic model of the remodeling process in human vertebral trabecular bone. The computer model is based on histomorphometric and structural data from human studies. It is presented in terms of flow charts, and simulations performed with the model are discussed in relation to measurements on human vertebral bone samples. The results show that a menopause-related doubling of the activation frequency causes a transient, mainly reversible bone loss. If the menopause is accompanied by an increase in both activation frequency and resorption depth, then the resulting bone loss will be more pronounced and with a larger part being irreversible bone loss (perforations). The two antiresorptive agents. Etidronate and estrogen both cause a slight increase in bone mass (reducing remodeling space), and Etidronate also seems capable of preventing perforations. During fluoride therapy, an initial increase in remodeling space followed by a reduction is seen. Very few perforations are found to take place during fluoride therapy. The present model has been validated by assessing the effects of the menopause and treatment with antiresorptive or anabolic agents. It was found that the results mirrored or anabolic agents. It was found that the results mirrored very closely the results (bone mass measurements) from short-term clinical studies. It is therefore concluded that the model provides a tool for evaluating existing and new therapeutic regimens.

Aged↗
PubMedDate not supplied

Bifurcation structure of a model of bursting pancreatic cells.

One- and two-dimensional bifurcation studies of a prototypic model of bursting oscillations in pancreatic beta-cells reveal a squid-formed area of chaotic dynamics in the parameter plane, with period-doubling bifurcations on one side of the arms and saddle-node bifurcations on the other. The transition from this structure to the so-called period-adding structure is found to involve a subcritical period-doubling bifurcation and the emergence of type-III intermittency. The period-adding transition itself is not smooth but consists of a saddle-node bifurcation in which (n+1)-spike bursting behavior is born, slightly overlapping with a subcritical period-doubling bifurcation in which n-spike bursting behavior loses its stability.

Action Potentials↗