The Dynamics of SQUIDs and Coupled (2008)
Don G Aronson, Hans G Othmer, Don Aronson, Hans Othmer
Josephson [8] predicted in 1962 that a DC tunnel current would flow between two superconductors connected by a thin insulating layer of thickness less than about 20 ˚A in the absence of a voltage...
Scalable Implicit Methods For Reaction-Diffusion Equations In Two And Three Space Dimensions (2007)
Silvia V. Veronese, Hans G. Othmer
. This paper describes the implementation of a solver for systems of semi-linear parabolic partial differential equations in two and three space dimensions. The solver is based on a parallel...
The topology of the regulatory interactions predicts the expression pattern of the segment
the segment polarity genes in (2007)
The topology and signature of the regulatory interactions predict the expression pattern of
Peter A. Spiro, Hans G. Othmer
Calcium plays an essential role in excitation-contraction coupling in muscle, and derangements in calcium handling can produce a variety of potentially harmful conditions, especially in cardiac...
Article No. jt980766 A Continuum Analysis of the Chemotactic Signal Seen by (2007)
Dictyostelium Discoideum, John C. Dallon, Hans G. Othmer
We develop a mathematical model of cell-to-cell-signaling in Dictyostelium discoideum that predicts the cAMP signal seen by individual cells in early aggregation. The model employs two cells on a...
Article No. bulm.1999.0101 (2007)
Available Online At, Peter A. Spiro, Hans G. Othmer
this paper we investigate the role of the periodic distribution of ryanodine-sensitive channels in determining whether a spark can trigger a wave, using a modification of the kinetic model proposed...
Dynamic Receptor Team Formation Can Explain the High Signal (2007)
Transduction Gain In, Réka Albert, Yu-wen Chiu, Hans G. Othmer
Evolution has provided many organisms with sophisticated sensory systems that enable them to respond to signals in their environment. The response frequently involves alteration in the pattern of...
Yangjin Kim, Magdalena A. Stolarska, Hans G. Othmer, Y. Kim, M. A. Stolarska, H. G. Othmer
Tumor spheroids grown in vitro have been widely used as models of in vivo tumor growth because they display many of the characteristics of in vivo growth, including the effects of nutrient...
Taxis Equations for Amoeboid Cells (2006)
The classical macroscopic chemotaxis equations have previously been derived from an individual-based description of the tactic response of cells that use a "run-and-tumble" strategy in response to...
Radek Erban, Hans G. Othmer, R. Erban, R. Erban, H. G. Othmer
Abstract The classical macroscopic chemotaxis equations have previously been derived from an individual-based description of the tactic response of cells that use a “run-and-tumble ” strategy in...
DOI: 10.1007/s10955-006-9204-x A Theoretical Approach to Actin Filament Dynamics (2006)
Jifeng Hu, Anastasios Matzavinos, Hans G. Othmer
Dynamic control of the actin network in eukaryotic cells plays an essential role in their movement, but to date our understanding of how the network properties are controlled in space and time is...
Macroscopic Taxis Equations from Cell-based Models (2006)
Cell movement is an essential process at various stages in the life cycle of most organisms. Motile organisms sense their environment and can respond to it either by directed movement toward or away...
Erban, Radek, Kevrekidis, Ioannis G., Othmer, Hans G.
The movement of many organisms can be described as a random walk at either or both the individual and population level. The rules for this random walk are based on complex biological processes and it...
A stochastic analysis of first-order reaction networks (2005)
Chetan Gadgil, Chang-hyeong Lee, Hans G. Othmer
A stochastic model for a general system of first-order reactions in which each reaction may be either a conversion reaction or a catalytic reaction is derived. The governing master equation is...
Dynamic receptor team formation can explain the high signal transduction (2004)
Réka Albert, Yu-wen Chiu, Hans G. Othmer
ABSTRACT Evolution has provided many organisms with sophisticated sensory systems that enable them to respond to signals in their environment. The response frequently involves alteration in the...
Digital Object Identifier (DOI): (2004)
Math Biol Mathematical, Nikos V. Mantzaris, Steve Webb, Hans G. Othmer, Normal Vascular Physiology, Blood Vessels
this paper is unique in the angiogenesis literature. Finally, the authors take into account the influx of EC from the parent vessel in the growing vasculature and from a parent sprout into its...
Mathematical Modeling of Tumor-induced Angiogenesis (2004)
Nikos Mantzaris Steve, Steve Webb, Hans G. Othmer
this paper is unique in the angiogenesis literature. Finally, the authors take into account the influx of EC from the parent vessel in the growing vasculature and from a parent sprout into its...
Dynamic receptor team formation can explain the high signal transduction gain in E. coli (2003)
Albert, Reka, Chiu, Yu-wen, Othmer, Hans G.
Evolution has provided many organisms with sophisticated sensory systems that enable them to respond to signals in their environment. The response frequently involves alteration in the pattern of...
Expression of the Drosophila segment polarity genes is initiated by a prepattern of pair-rule gene products and maintained by a network of regulatory interactions throughout several stages of...
Dirk Horstmann, Kevin J. Painter, Hans G. Othmer
Movement of biological organisms is frequently initiated in response to a diffusible or otherwise transported signal, and in its simplest form this movement can be described by a diffusion equation...
pattern of the segment polarity genes in (2002)
The topology of the regulatory interactions predicts the expression
Subharmonic resonance and chaos in forced excitable systems (1999)
Hans G. Othmer, Min Xie, H. G. Othmer, M. Xie
Abstract. Forced excitable systems arise in a number of biological and physiological applications and have been studied analytically and computationally by numerous authors. Existence and stability...
A mathematical model for outgrowth and spatial patterning of the vertebrate limb (1999)
A new model for limb development which incorporates both outgrowth due to cell growth and division, and interactions between morphogens produced in the zone of polarizing activity (ZPA) and the...
A discrete cell model with adaptive signalling for aggregation of Dictyostelium discoideum (1997)
John C. Dallon, Hans G. Othmer
page
Aggregation, blowup, and collapse: the ABC’s of taxis in reinforced random walks (1997)
Hans G. Othmer, Angela Stevens
Abstract. In many biological systems, movement of an organism occurs in response to a diffusible or otherwise transported signal, and in its simplest form this can be modeled by diffusion equations...
Aggregation, Blowup, And Collapse: The Abc's Of Taxis In Reinforced Random Walks (1997)
Hans G. Othmer, Angela Stevens
. In many biological systems, movement of an organism occurs in response to a di#usible or otherwise transported signal, and in its simplest form this can be modeled by di#usion equations with...
A model of excitation and adaptation in bacterial chemotaxis
Spiro, Peter A., Parkinson, John S., Othmer, Hans G.
Bacterial chemotaxis is widely studied because of its accessibility and because it incorporates processes that are important in a number of sensory systems: signal transduction, excitation,...
A model for individual and collective cell movement in Dictyostelium discoideum
Palsson, Eirikur, Othmer, Hans G.
The cellular slime mold Dictyostelium discoideum is a widely used model system for studying a variety of basic processes in development, including cell–cell signaling, signal transduction, pattern...
Short- and long-range effects of Sonic hedgehog in limb development
Dillon, Robert, Gadgil, Chetan, Othmer, Hans G.
The secreted protein Sonic hedgehog (Shh) and its transmembrane receptor Patched (Ptc) control a major signal transduction pathway in early vertebrate limb development. Ligand-free Ptc interacts with...
Dynamic Receptor Team Formation Can Explain the High Signal Transduction Gain in Escherichia coli
Albert, Réka, Chiu, Yu-wen, Othmer, Hans G.
Evolution has provided many organisms with sophisticated sensory systems that enable them to respond to signals in their environment. The response frequently involves alteration in the pattern of...
A model of excitation and adaptation in bacterial chemotaxis
Spiro, Peter A., Parkinson, John S., Othmer, Hans G.
Bacterial chemotaxis is widely studied because of its accessibility and because it incorporates processes that are important in a number of sensory systems: signal transduction, excitation,...
A model for individual and collective cell movement in Dictyostelium discoideum
Palsson, Eirikur, Othmer, Hans G.
The cellular slime mold Dictyostelium discoideum is a widely used model system for studying a variety of basic processes in development, including cell–cell signaling, signal transduction, pattern...
Short- and long-range effects of Sonic hedgehog in limb development
Dillon, Robert, Gadgil, Chetan, Othmer, Hans G.
The secreted protein Sonic hedgehog (Shh) and its transmembrane receptor Patched (Ptc) control a major signal transduction pathway in early vertebrate limb development. Ligand-free Ptc interacts with...
Dynamic Receptor Team Formation Can Explain the High Signal Transduction Gain in Escherichia coli
Albert, Réka, Chiu, Yu-wen, Othmer, Hans G.
Evolution has provided many organisms with sophisticated sensory systems that enable them to respond to signals in their environment. The response frequently involves alteration in the pattern of...
Robust, bistable patterning of the dorsal surface of the Drosophila embryo
Umulis, David M., Serpe, Mihaela, O’Connor, Michael B., Othmer, Hans G.
In many developing systems, the fate of a cell is determined by its position in a time-independent spatial distribution of a morphogen. However, during dorsal–ventral patterning in the Drosophila...