Difference between revisions of "Parameters"

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The model includes 6 parameters, representing morphospace dimensions: (1–3) Chamber scaling ratios defined in 3-dimensional space by 3 parameters: kx - chamber width ratio, ky - chamber height ratio, kz - chamber depth ratio. If all chamber scaling ratios equal each other, i.e., kx = ky = kz, a new chamber is isometric to the previous one. Any differences in chamber scaling ratios cause allometric growth of successive chambers; (4) TF (translation factor) controls an overlap of successive chambers (Fig. 1). The “0” TF value places the centre of a new chamber directly at the aperture of the last chamber. This parameter ranges from “-1” to “+1” values. Higher values detach a new chamber from the existing shell that represents a “forbidden zone” sensu Berger (1969); (5) Df  as a deviation angle (deflection angle) is an angle between the local reference line and the line defining the centre of a new chamber (Fig. 1). It ranges from -180° to 180°. Higher or lower out of range values can be recalculated to the values from the given range; (6) b represents a rotation angle along the local growth line (Fig. 1). This parameter is necessary in 3-dimensional space. It ranges from -180° to 180°. Higher or lower values can also be recalculated.
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== [[Moving-reference]] model parameters ==
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== Model parameters ==
 
  
 
[[Image:Model_parameters.jpg|thumb|left|222px|<font size="2">Moving-reference model parameters <font size="1">(Tyszka, 2006, modified)</font>]]
 
[[Image:Model_parameters.jpg|thumb|left|222px|<font size="2">Moving-reference model parameters <font size="1">(Tyszka, 2006, modified)</font>]]
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: '''ky''' - chamber height ratio,  
 
: '''ky''' - chamber height ratio,  
 
: '''kz''' - chamber depth ratio.  
 
: '''kz''' - chamber depth ratio.  
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* '''TF''' (translation factor) controls an overlap of successive chambers
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* '''TF''' (translation factor) controls an overlap of successive chambers (see Fig.); the “0” TF value places the centre of a new chamber directly at the aperture of the last chamber. This parameter ranges from “-1” to “+1” values. Higher values detach a new chamber from the existing shell that represents a “forbidden zone” sensu Berger (1969)
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* '''&phi;'''  as a deviation angle (deflection angle) an angle between the local reference line and the line defining the centre of a new chamber.
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* '''&phi;'''  as a deviation angle (deflection angle) an angle between the local reference line and the line defining the centre of a new chamber; it ranges from -180° to 180°. Higher or lower out of range values can be recalculated to the values from the given range
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* '''&beta;''' as a rotation angle
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* '''&beta;''' as a rotation angle; this parameter is necessary in 3-dimensional space. It ranges from -180° to 180°; higher or lower values can also be recalculated.
  
 
If all chamber scaling ratios equal each other, i.e., kx = ky = kz, a new chamber is isometric to the previous one. Any differences in chamber scaling ratios cause allometric growth of successive chambers.
 
If all chamber scaling ratios equal each other, i.e., kx = ky = kz, a new chamber is isometric to the previous one. Any differences in chamber scaling ratios cause allometric growth of successive chambers.

Revision as of 09:54, 21 March 2006