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Pattern formation along signaling gradients driven by active droplet behaviour of cell groups
Ford HZ +8 more
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Hierarchical pattern formation
Physica A: Statistical Mechanics and its Applications, 1998Abstract We consider a hierarchical set of dynamical systems, each of which may support individual pattern formation processes. In the limit case of weak top-down interactions it provides a suitable framework for the design of self-organizing scenarios both from constructional and evolutionary perspective.
Or-Guil, M., Bär, M., Bode, M.
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Biochemistry, 2019
A fundamental question in biology is how biological patterns emerge. Because of the presence of numerous confounding factors, it is tremendously challenging to elucidate the mechanisms underlying pattern formation solely on the basis of studies of natural biological systems.
Nan Luo, Shangying Wang, Lingchong You
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A fundamental question in biology is how biological patterns emerge. Because of the presence of numerous confounding factors, it is tremendously challenging to elucidate the mechanisms underlying pattern formation solely on the basis of studies of natural biological systems.
Nan Luo, Shangying Wang, Lingchong You
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2017
This chapter examines the complex nature of pattern formation in excitable systems. Many physical, chemical, and biological systems are considered excitable, in which two “components” interact in such a way as to alter each other's state through (nonlinear) processes of inhibition or amplification.
Karl-Peter Hadeler, Johannes Müller
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This chapter examines the complex nature of pattern formation in excitable systems. Many physical, chemical, and biological systems are considered excitable, in which two “components” interact in such a way as to alter each other's state through (nonlinear) processes of inhibition or amplification.
Karl-Peter Hadeler, Johannes Müller
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2019
The Pattern Formation problem is one of the most important coordination problem for robotic systems. Initially the entities are in arbitrary positions; within finite time they must arrange themselves in the space so to form a pattern given in input. In this chapter, we will mainly deal with the problem in the OBLOT model.
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The Pattern Formation problem is one of the most important coordination problem for robotic systems. Initially the entities are in arbitrary positions; within finite time they must arrange themselves in the space so to form a pattern given in input. In this chapter, we will mainly deal with the problem in the OBLOT model.
+5 more sources
1999
Publisher Summary This chapter focuses on the concept of optical pattern formation. The field of optical pattern formation (OPF) studies the spatial and spatiotemporal phenomena that arise in the structure of electromagnetic field in the planes orthogonal with respect to the direction of propagation.
Lugiato, L. A., Brambilla, M., Gatti, A.
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Publisher Summary This chapter focuses on the concept of optical pattern formation. The field of optical pattern formation (OPF) studies the spatial and spatiotemporal phenomena that arise in the structure of electromagnetic field in the planes orthogonal with respect to the direction of propagation.
Lugiato, L. A., Brambilla, M., Gatti, A.
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Nature, 1995
As participants at Nature's conference "Patterns of Life" (Boston, 9–10 November) found, moves to different organisms and even to biochemistry are helping to sustain the drive to understand how different body plans develop.
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As participants at Nature's conference "Patterns of Life" (Boston, 9–10 November) found, moves to different organisms and even to biochemistry are helping to sustain the drive to understand how different body plans develop.
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Advances in Applied Probability, 1980
A uniform distribution of histidine auxotrophic Salmonella Typhimurium on an agar gel exhibits a spatial pattern of growth in responsto a diffusing front of histidine. We formulate a mathematical model of this system which describes the histidine concentration (H(r,t)) at radius r and time t in a petri dish, the concentration of the growth medium’s ...
F. C. Hoppensteadt, W. Jäger
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A uniform distribution of histidine auxotrophic Salmonella Typhimurium on an agar gel exhibits a spatial pattern of growth in responsto a diffusing front of histidine. We formulate a mathematical model of this system which describes the histidine concentration (H(r,t)) at radius r and time t in a petri dish, the concentration of the growth medium’s ...
F. C. Hoppensteadt, W. Jäger
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Parametrically forced pattern formation
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2001Pattern formation in a nonlinear damped Mathieu-type partial differential equation defined on one space variable is analyzed. A bifurcation analysis of an averaged equation is performed and compared to full numerical simulations. Parametric resonance leads to periodically varying patterns whose spatial structure is determined by amplitude and detuning ...
Armbruster, Dieter +2 more
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Somite formation and patterning
2000As a consequence of their segmented arrangement and the diversity of their tissue derivatives, somites are key elements in the establishment of the metameric body plan in vertebrates. This article aims to largely review what is known about somite development, from the initial stages of somite formation through the process of somite regionalization ...
Hirsinger, Estelle +3 more
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