Let 0 be a finite set of n elements, R a ring of characteristic p>0 and denote by M k the R-module with k-element subsets of 0 as basis. The set inclusion map : M k Γ M k&1 is the homomorphism which associates to a k-element subset 2 the sum (2)=1 1 +1 2 + } } } +1 k of all its (k&1)-element subsets
Homologies of process and modular elements of embryonic construction
β Scribed by Gilbert, Scott F. ;Bolker, Jessica A.
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 150 KB
- Volume
- 291
- Category
- Article
- ISSN
- 0022-104X
- DOI
- 10.1002/jez.1
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β¦ Synopsis
Abstract
There are several signal transduction pathways that integrate embryonic development. We find that both within species and between species, these pathways constitute homologous modules. The processes, themselves, can be considered homologous, just as structures can be considered homologous. Just like vertebrate limbs, these pathways are composed of homologous parts (in this case, the proteins of the pathway) that are organized in homologous ways. These pathways are conserved through evolutionary time, and they undergo descent with modification. Such homologies of processes become critical to the discussion of evolution and development when we consider (1) that evolution depends on heritable changes in development, (2) that development is modular such that different modules can change without affecting other modules, (3) that modules can be coβopted into new functions, and (4) that modules depend on intercellular communication. J. Exp. Zool. (Mol. Dev. Evol.) 291:1β12, 2001. Β© 2001 WileyβLiss, Inc.
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