The evolution of slow dispersal rates: a reaction diffusion model

…, V Hutson, K Mischaikow, M Pernarowski - Journal of Mathematical …, 1998 - Springer
… the matrix M, where is a small positive scalar. The structure of M is of course limited by
biological constraints, but it turns out that our conclusions require only very weak conditions on M (…

Fast subsystem bifurcations in a slowly varying Liénard system exhibiting bursting

M Pernarowski - SIAM Journal on Applied Mathematics, 1994 - SIAM
… , PL,M, N models can be transformed into other "canonical" PL.M, N models that contain
fewer defining parameters [15]. Since such transformations are easily inverted, canonical PI,M,N …

[PDF][PDF] Glucose diffusion in pancreatic islets of Langerhans

R Bertram, M Pernarowski - Biophysical journal, 1998 - cell.com
We investigate the time required for glucose to diffuse through an isolated pancreatic islet of
Langerhans and reach an equilibrium. This question is relevant in the context of in vitro …

Fast and slow subsystems for a continuum model of bursting activity in the pancreatic islet

M Pernarowski - SIAM Journal on applied mathematics, 1998 - SIAM
m and n, respectively, and gm,n is the net conductance of all such gap junctions connecting
the two cells. If cells m … choose m and M small and large enough so that m < u0(x) = Us(x) < …

Application of Absorbancy Ratios to the Analysis of Pharmaceuticals I: Theory of the Analysis of Binary Mixtures

M Pernarowski, AM Knevel, JE Christian - Journal of Pharmaceutical …, 1961 - Elsevier
The absorbancy ratio technique used in the analysis of binary mixtures has many applications
in the pharmaceutical sciences. The theory of this method is discussed, a number of …

Continuous flow apparatus for the determination of the dissolution characteristics of tablets and capsules

M Pernarowski, W Woo, RO Searl - Journal of Pharmaceutical …, 1968 - Wiley Online Library
The apparatus described in this paper consists of a closed dissolution container, a basket‐stirrer
assembly, and a variable speed pump. It may be automated by connecting the pump to …

Perturbation Techniques for Models of Bursting Electrical Activity in Pancreatic -Cells

M Pernarowski, RM Miura, J Kevorkian - SIAM Journal on Applied …, 1992 - SIAM
Pancreatic $\beta $-cells exhibit periodic bursting electrical activity consisting of active and
silent phases. Experimentally, the ratio, $\rho _f $, of the active phase duration to the overall …

Traveling wave solutions of a reaction diffusion model for competing pioneer and climax species

S Brown, J Dockery, M Pernarowski - Mathematical biosciences, 2005 - Elsevier
Presented is a reaction-diffusion model for the interaction of pioneer and climax species. For
certain parameters the system exhibits bistability and traveling wave solutions. Specifically, …

Interaction of bishydroxycoumarin with human serum albumin

…, AG Mitchell, M Pernarowski - Journal of Pharmaceutical …, 1971 - Wiley Online Library
The binding of bishydroxycoumarin to human serum albumin was studied by means of
spectrophotometry, solubility analysis, and equilibrium dialysis. The data were interpreted on the …

The biopharmaceutical properties of solid dosage forms: I. An evaluation of 23 brands of phenylbutazone tablets

RO Searl, M Pernarowski - Canadian Medical Association Journal, 1967 - ncbi.nlm.nih.gov
The potency, disintegration and dissolution characteristics of 23 brands of phenylbutazone
tablets were determined. Five (21.7%) of the 23 brands failed to comply with the minimum …