Estimating the spatiotemporal pattern of volumetric growth rate from fate maps in chick limb development

✍ Scribed by Yoshihiro Morishita; Yoh Iwasa

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 73 KB
• Volume: 238
• Category: Article
• ISSN: 1058-8388
• DOI: 10.1002/dvdy.21906

✦ Synopsis

IV) Model Selection Based on Akaike's Information Criterion

Now we need to find out the best way to describe the positional and temporal dependence of the growth rate based on a given data set after the switching time 1 . Once we choose the best model, we can then calculate the position of each cell initially located at x at any time t, that is, its trajectory in a growing limb, z(x,t) , by using Equation [1]. We may consider many different forms of S(z,t) to fit the data, as illustrated in Figure 3. Each of these models corresponds to a way to separate space and time in S(z,t), and the parameters to estimate are the separating location ( i ) and time ( i ) and the height of each step (s i ). These values can be chosen by best fitting (maximum likelihood method) to the data.