1 / 10

MOVEMENT OF AMOEBAE

MOVEMENT OF AMOEBAE. Mathematical Biology Summer Workshop. DICTYOSTELIUM DISCOIDEUM. Social Amoeba act like either a unicellular or multicellular organism depending on circumstances Pseudopodial Extension protrusion of part of the cell and streaming of cellular contents.

sun
Télécharger la présentation

MOVEMENT OF AMOEBAE

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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. MOVEMENT OF AMOEBAE Mathematical Biology Summer Workshop

  2. DICTYOSTELIUM DISCOIDEUM • Social Amoeba • act like either a unicellular or multicellular organism depending on circumstances • Pseudopodial Extension • protrusion of part of the cell and streaming of cellular contents

  3. CHEMOTACTIC MOVEMENT • Purposeful movement of organisms in response to a chemical gradient

  4. AGGREGATION OF DICTYOSTELIUM DISCOIDEUM • cells begin to emit pulses of cAMP when starved • other cells are attracted to cAMP causing movement towards source • moving cells emit their own pulses, amplifying and propagating the signal • eventually cells meet to become multicellular unit called a slug

  5. ORIENTATION OF DICTYOSTELIUM DISCOIDEUM (RESPONSE TO THE cAMP SIGNAL) • rotates its body axis • elongates its surface along one side and contracts on the other sides • eventually leads to polarization of the cell along the chemical gradient

  6. Model #1: Rotational Movement • Amoeba orientation based on chemical gradient grid • Consider a finite 2D grid: • Assume chemical is more heavily concentrated at the top of the grid • Possible Governing Equations: Uxx = 0, BC: U(0) = A, U(L) = a High Low

  7. Normal Distribution Rotational Movement Cont…. Problem: No Rotational-like movement Solution: Chemical Gradient non-constant across grid

  8. Rotational Movement Cont…. • CELLULAR AUTOMATA • double grid • RULES OF MOVEMENT • conservation of area (2D model) • always attached • move in direction of higher concentration

  9. Model #2: Chemotaxis Movement • Receptors used as antenna • Travels in direction of receptor with highest concentration • Less Rotational, More of a morphing action • Concerned more with x-y movement

  10. Chemotaxis Movement Cont…. • CELLULAR AUTOMATA • double grid (chemical gradient) • RULES OF MOVEMENT • conservation of area (2D model) • always attached • move in direction of higher concentration • jenga movements

More Related