3d substitution model for limb growth and pattern formation l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
3D Substitution Model for Limb Growth and Pattern Formation PowerPoint Presentation
Download Presentation
3D Substitution Model for Limb Growth and Pattern Formation

Loading in 2 Seconds...

play fullscreen
1 / 25

3D Substitution Model for Limb Growth and Pattern Formation - PowerPoint PPT Presentation


  • 152 Views
  • Uploaded on

3D Substitution Model for Limb Growth and Pattern Formation. Ying Zhang 1 , Stuart A. Newman 2 , James A. Glazier 1 1.Biocomplexity Institute, Department of Physics, Indiana University 2.New York Medical College. :. Substitution model. Patterning a Developmental

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '3D Substitution Model for Limb Growth and Pattern Formation' - jock


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
3d substitution model for limb growth and pattern formation
3D Substitution Model for Limb Growth and Pattern Formation

Ying Zhang1, Stuart A. Newman2, James A. Glazier1

1.Biocomplexity Institute, Department of Physics, Indiana University

2.New York Medical College

slide2
:

Substitution model

slide3

Patterning a Developmental

Field by Long-range Signalling

Tetsuya Tabata, et al. Nature, 2001

mechanisms of pattern formation in development and evolution
Mechanisms of pattern formation in development and evolution

Salazar-Ciudad I et al. Development 2003 I

relation embryonic development substitution model
Relation: Embryonic Development & Substitution Model
  • Cellular autonomy  Neighbor independent substitution system Example: cell growth, cell differentiation
  • Cell signaling relay, cell-cell interaction model  neighbor-dependent substitution model Example: cell-cell adhesion, cell sorting, cell migration, cell growth and death
  • Positional information/Morphogenesis field theory  Probability substitution model Example: FGF
development of limb bud
Development of Limb Bud

Gilbert et al 2003

Newman SA. et al. Science 1979

fgfs fgfrs
FGFs & FGFRs

Xu X. et al. Cell Tissue Res. 1999

hox gene expression
Hox Gene Expression

Nelson et al. Development 1996

expansion of cell populations
Expansion of Cell Populations

Vargesson N. et al. Development, 1997

slide10

Gene & Function

FGF ---outgrowth of the limb bud

BMP--- Cartilage formation & Cell Death

SHH<->Gli3—Patterning

SHH->HOX—Patterning

Gene Regulatory Network

Niswander, L. et al. Nature Reviews 2003

slide11

Growth Rule && Growth Probability Field

Division

Differentiation

Condensation

Growth Probability Field

2d subsitution model
2D Subsitution Model

Shubin et al. 1986

3d substitution simulation
3D Substitution Simulation

With Physical Branching and Differentiation rule

fate mapping
Fate Mapping

Vargesson N. et al. Development, 1997

morphogen gradient field
Morphogen Gradient Field
  • Example:SHH-Gli3

Reaction Diffusion

Oscillation or no Oscillation

activator inhibitor
Activator Inhibitor

AS=2.9

AS=2.0

Initial

With Different Activator strength, form different Pattern

summary
Summary
  • 1. The substitution system is a suitable tool to enumerate growth process in embryonic development.
  • 2.The substitution system as applied here can simulate real biological process, like cell division and differentiation.
  • 3. Global behavior can be described by probability fields, which can link the molecular-signaling level to the cellular level.
  • 4. Under certain growth probabilities to, the cell motion is still random according to fate map test.
future work
Future Work
  • Find out the suitable growth probability function.
  • Implement the molecular information into the model.
  • Application in other developmental system.
  • Explore random/robustness effects in embryonic development.
  • Explore surface tension constraints using the Cellular Potts model.
reference
Reference
  • Wolfram S., A new kind of science (2003).
  • Wolfram S., Theory and Application of cellular automata (1986)
  • Newman, S. A., and Frisch H. L., Dynamics of skeletal pattern formation in developing chick limb. Science 205, 662-668 (1979)
  • Newman M. E. J., Barkema G.T., Monte Carlo Methods (1999).
  • Salazar-Ciudad I., Jernvall J. and Newman S.A., Mechanisms of pattern formation in development and evolution, Development 130, 2027-2037 (2003).
  • Adrian C., Life's Patterns: no need to spell it out?  Science 303, 782-783 (2004)
  • Chaplain M.A.J., On growth and form: Spatio-temporal pattern formation in Biology, (1999).
  • Deneen M., Hox10 and Hox11 genes are required to globally pattern the mammalian skeleton. Science 301, 363-368 (2003).
  • Murray J. D., Mathematical biology I: An introduction (2001).
  • Murray J. D., Mathematical biology II: Spatial models and biomedical applications (2001).
  • Vargesson N., Cell fate in the chick limb bud and relationship to gene expression. Development 124, 1909-18 1997.
  • Glazier J. A., Simulation of differential adhesion driven rearrangement of biological cells, Phy. Rev. E, 47,2128-2155 (1993).