SelectedWorks - Tilmann Glimm

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Selected Works of Tilmann Glimm

Professor, Department of Mathematics

Research Areas: Analysis - Nonlinear PDEs, mathematical biology

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About Tilmann Glimm

Research Areas: Analysis - Nonlinear PDEs, mathematical biology

Present	Faculty Member, Western Washington University ‐ Western Expert
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution
Present	Professor, Department of Mathematics, Western Washington University ‐ Department of Mathematics
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Nonlinear PDEs and Mathematical biology

Math 224: Multivariable Calculus I
Math 225: Multivariable Calculus II
Math 304: Mathematics for Technology
Math 321: Mathematics for Technology
Math 331: Differential Equations
Math 415/515: Mathematical Biology
M/CS 335: Linear Optimization

Phone: (360)650-2933
Fax: (360)650-7788
Office: Bond Hall 228
Alternate email: glimmt@wwu.edu

Email:

Articles (25)

Isolating and Quantifying the Role of Developmental Noise in Generating ...

PLoS Computational Biology (2019)

Maria Kiskowski, Tilmann Glimm, Nickolas Moreno, Tony Gamble, et al.

Genotypic variation, environmental variation, and their interaction may produce variation in the developmental process and cause phenotypic differences among individuals. ...

Synchronization of Hes1 oscillations coordinates and refines condensation formation and ...

Mechanisms of Development (2019)

Ramray Bhat, Tilmann Glimm, Marta Linde-Medina, Cheng Cui, et al.

The tetrapod appendicular skeleton is initiated as spatially patterned mesenchymal condensations. The size and spacing of these condensations in avian limb buds are ...

The Vertebrate Limb: An Evolving Complex of Self-Organizing Systems

Progress in Biophysics & Molecular Biology (2018)

Stuart A. Newman, Tilmann Glimm and Ramray Bhat

The paired appendages (fins or limbs) of jawed vertebrates contain an endoskeleton consisting of nodules, bars and, in some groups, ...

The Vertebrate Limb: An evolving complex of self-organizing systems

Progress in Biophysics & Molecular Biology (2018)

Stuart A. Newman, Tilmann Glimm and Ramray Bhat

The paired appendages (fins or limbs) of jawed vertebrates contain an endoskeleton consisting of nodules, bars and, in some groups, ...

Stability of Turing-Type Patterns in a Reaction–Diffusion System with ...

International Journal of Bifurcation and Chaos (2017)

Tilmann Glimm, Jianying Zhang and Yun-Qiu Shen

We investigate the stability of Turing-type patterns in one spatial dimension in a system of reaction–diffusion equations with a term ...

Deep Phylogenomics of a Tandem-repeat Galectin Regulating Appendicular Skeletal Pattern ...

BMC Evolutionary Biology (2016)

Ramray Bhat, Mahul Chakraborty, Tilmann Glimm, Thomas A. Stewart, et al.

Background: A multiscale network of two galectins Galectin-1 (Gal-1) and Galectin-8 (Gal-8) patterns the avian limb skeleton. Among vertebrates with ...

Modeling the Morphodynamic Galectin Patterning Nework of the Developing Avian ...

Journal of Theoretical Biology (2014)

Tilmann Glimm, R. Bhat and S. A. Newman

We present a mathematical model for the morphogenesis and patterning of the mesenchymal condensations that serve as primordia of the ...

Iterative Scheme for Solving Optimal Transportation Problems Arising in Reflector ...

ISRN Applied Mathematics (2013)

Tilmann Glimm and Nick Henscheid

We consider the geometric optics problem of finding a system of two reflectors that transform a spherical wavefront into a ...

Computational and Mathematical Models of Chondrogenesis in Vertebrate Limbs

Birth Defects Research. Part C, Embryo Today: Reviews (2012)

Tilmann Glimm, D. Headon and M. A. Kiskowski

The production of cartilage (chondrogenic patterning) in the limb is one of the best-studied examples of the emergence of form ...

Reaction–Diffusion Systems and External Morphogen Gradients: The Two-Dimensional Case ...

Bulletin of Mathematical Biology (2012)

Tilmann Glimm, Jianying Zhang, Yunqiu Shen and Stuart A. Newman

We investigate a reaction–diffusion system consisting of an activator and an inhibitor in a two-dimensional domain. There is a morphogen ...

A Rigorous Analysis Using Optimal Transport Theory for a Two-reflector ...

Inverse Problems (2010)

We consider the following geometric optics problem: construct a system of two reflectors which transforms a spherical wavefront generated by ...

Interaction of Turing Patterns with an External Linear Morphogen Gradient

Nonlinearity (2009)

Tilmann Glimm, Jianying Zhang and Yun-Qui Shen

We investigate a simple generic model of a reaction–diffusion system consisting of an activator and an inhibitor molecule in the ...

On Isoconcentration Surfaces of Three Dimensional Turing Patterns

International Journal of Bifurcation & Chaos in Applied Sciences & Engineering (2008)

Tilmann Glimm and H. George E. Hentschel

We consider three-dimensional Turing patterns and their isoconcentration surfaces corresponding to the equilibrium concentration of the reaction kinetics. We call ...

The Morphostatic Limit for a Model of Skeletal Pattern Formation ...

Bulletin of Mathematical Biology (2008)

Mark Alber, Tilmann Glimm, H. George E. Hentschel, Bogdan Kazmierczak, et al.

A recently proposed mathematical model of a “core” set of cellular and molecular interactions present in the developing vertebrate limb ...

Multiscale Models for Vertebrate Limb Development

Current Topics in Developmental Biology (2008)

Tilmann Glimm, Stuart A. Newman, Scott Christley, H. G.E. Hentschel, et al.

Dynamical systems in which geometrically extended model cells produce and interact with diffusible (morphogen) and nondiffusible (extracellular matrix) chemical fields ...

From Genes to Organisms Via the Cell A Problem-Solving Environment ...

Computing in Science & Engineering (2007)

Tilmann Glimm, Trevor Cickovski, Kedar Aras, Mark S. Alber, et al.

To gain performance, developers often build scientific applications in procedural languages, such as C or Fortran, which unfortunately reduces flexibility. ...

Multiscale Dynamics of Biological Cells with Chemotactic Interactions: From a ...

Physical Review E (2006)

Mark Alber, Nan Chen, Tilmann Glimm and Pavel M. Lushnikov

The Cellular Potts Model (CPM) has been used for simulating various biological phenomena such as differential adhesion, fruiting body formation ...

Multiscale Dynamics of Biological Cells with Chemotactic Interactions: From a ...

Physical Review E (2006)

Mark Alber, Nan Chen, Tilmann Glimm and Pavel M. Lushnikov

The cellular Potts model (CPM) has been used for simulating various biological phenomena such as differential adhesion, fruiting body formation ...

On Multiscale Approaches to 3-Dimensional Modeling of Morphogenesis

Journal of the Royal Society Interface (2005)

Rajiv Chaturvedi, Chengbang Huang, Bogdan Kazmierczak, T. Schneider, et al.

In this paper we present the foundation of a unified, object-oriented, three-dimensional (3D) biomodeling environment, which allows us to integrate ...

On the Supersymmetry Group of the Classical Bose-Fermi Oscillator,"

Journal of Symmetry and Geometry in Physics (2005)

Tilmann Glimm and Rudolf Schmid

Applying the concept of a momentum map for supersymplectic supervectorspaces to the one-dimensional Bose-Fermi oscillator, we show that the largest ...

A Framework for Three-Dimensional Simulation of Morphogenesis

IEEE/ACM Transactions on Computational Biology and Bioinformatics (2005)

Tilmann Glimm, Trevor M. Cickovski, Chengbang Huang, Rajiv Chaturvedi, et al.

We present CompuCell3D, a software framework for three-dimensional simulation of morphogenesis in different organisms. CompuCell3D employs biologically relevant models for ...

Stability of n-Dimensional Patterns in a Generalized Turing System: Implications ...

Nonlinearity (2004)

Tilmann Glimm, Mark S. Alber, H. George E. Hentschel, Bogdan Kazmierczak, et al.

The stability of Turing patterns in an n-dimensional cube (0, π)n is studied, where n ≥ 2. It is shown ...

Dynamical Mechanisms for Skeletal Pattern Formation in the Vertebrate Limb

The Royal Society Proceedings: Biological Sciences (2004)

Tilmann Glimm, H. George E. Hentschel, James A. Glazier and Stuart A. Newman

We describe a ‘reactor–diffusion’ mechanism for precartilage condensation based on recent experiments on chondrogenesis in the early vertebrate limb and ...

Optical Design of Two-reflector Systems, the Monge-Kantorovich Mass Transfer Problem ...

Indiana University Mathematics Journal (2004)

Tilmann Glimm and Vladimir Oliker

It is shown that the problem of designing a two-reflector system transforming a plane wave front with given intensity into ...

Optical Design of Single Reflector Systems and the Monge–Kantorovich ...

Journal of Mathematical Sciences (2003)

Tilmann Glimm and V. Oliker

We consider the problem of designing a reflector that transforms a spherical wave front with a given intensity into an ...