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- I Klapper, R Hagstrom, R Fine, K Sharp, B Honig
- Proteins
- 1986

In this paper we report the implementation of a finite-difference algorithm which solves the linearized Poisson-Boltzmann equation for molecules of arbitrary shape and charge distribution and which includes the screening effects of electrolytes. The microcoding of the algorithm on an ST-100 array processor allows us to obtain electrostatic potential maps in… (More)

- E Alpkvist, I Klapper
- Water science and technology : a journal of the…
- 2007

Bacterial biofilms, while made up of microbial-scale objects, also function as meso- and macroscale materials. In particular, macro-scale material properties determine how biofilms respond to large-scale mechanical stresses, e.g. fluid shear. Viscoelastic and other constitutive properties influence biomass structure (through growth and fluid shear stresses)… (More)

- Isaac Klapper, Jack Dockery
- SIAM Journal of Applied Mathematics
- 2002

A simple single substrate limiting model of a growing biofilm layer is presented. One-dimensional moving front solutions are analyzed. Under certain conditions these solutions are shown to be linearly unstable to fingering instabilities. Scaling laws for the biofilm growth rate and length scale are derived. The nonlinear evolution of the fingering… (More)

- Erik Alpkvist, Isaac Klapper
- Bulletin of mathematical biology
- 2007

We propose a multidimensional continuum model for heterogeneous growth of biofilm systems with multiple species and multiple substrates. The new model provides a deterministic framework for the study of the interactions between several spe1cies and their effects on biofilm heterogeneity. It consists of a system of partial differential equations derived on… (More)

- T Shaw, M Winston, C J Rupp, I Klapper, P Stoodley
- Physical review letters
- 2004

Biofilms, sticky conglomerations of microorganisms and extracellular polymers, are among the Earth's most common life forms. One component for their survival is an ability to withstand external mechanical stress. Measurements indicate that biofilm elastic relaxation times are approximately the same (about 18 min) over a wide sample of biofilms though other… (More)

For weak solutions of the incompressible Euler equations, there is energy conservation if the velocity is in the Besov space B 3 s with s greater than 1/3. B p s consists of functions that are Lip(s) (i.e., Hölder continuous with exponent s) measured in the L p norm. Here this result is applied to a velocity field that is Lip(α 0) except on a set of… (More)

- D. W. Longcope, I. Klapper
- 2002

A scheme is presented for mapping the connectivity of a potential magnetic field arising from an arbitrary distribution of discrete sources. The field lines interconnecting the sources are classified into N d domains, defining the field's connectivity. The number of domains is shown to depend on the number of sources and on the numbers of nulls and… (More)

- P Stoodley, R Cargo, C J Rupp, S Wilson, I Klapper
- Journal of Industrial Microbiology and…
- 2002

Biofilms of various Pseudomonas aeruginosa strains were grown in glass flow cells under laminar and turbulent flows. By relating the physical deformation of biofilms to variations in fluid shear, we found that the biofilms were viscoelastic fluids which behaved like elastic solids over periods of a few seconds but like linear viscous fluids over longer… (More)

- I Klapper, C J Rupp, R Cargo, B Purvedorj, P Stoodley
- Biotechnology and bioengineering
- 2002

A mathematical model describing the constitutive properties of biofilms is required for predicting biofilm deformation, failure, and detachment in response to mechanical forces. Laboratory observations indicate that biofilms are viscoelastic materials. Likewise, current knowledge of biofilm internal structure suggests modeling biofilms as associated polymer… (More)

- Stefanie Widder, Rosalind J Allen, +27 authors Orkun S Soyer
- The ISME journal
- 2016

The importance of microbial communities (MCs) cannot be overstated. MCs underpin the biogeochemical cycles of the earth's soil, oceans and the atmosphere, and perform ecosystem functions that impact plants, animals and humans. Yet our ability to predict and manage the function of these highly complex, dynamically changing communities is limited. Building… (More)