to be developed, but a few quotations to get things started...

With these processes in mind, Kristeva coined the term 'le sujet en process,' or 'subject-in-process,' also translated as the 'subject on trial' (Kristeva 1984a) to make use of both senses of the original French... 
This term subject-in-process is a reminder that a process of differentiation continuously constitutes our subjectivity; there is no core, fixed, unified self.  We are, rather, in a human venture of 'innovation, of creaton, of opening, of renewal,' that is, in an 'open system,' a term she borrows from biology...
To be open for a human being, is to be alive. 'The psyche is one open system connected to another, and only under those conditions is it renewable,' writes Kristeva.  'If it lives, your psyche is in love.  If it is not in love, it is dead' (Kristeva 1987b, 15)... (McAfee 2000:^ref 69)

The idea of the subject as an open system, a subject-in-process, is a central aspect of what I'll call a model of relational subjectivity. By this I do not just mean Nancy Chodorow's notion that we have the capacity to relate to and nurture others.  I mean something much deeper: our very subjectivity is constituted relationally, in the relation between conscious and unconscious, semiotic and symbolic, self and other; also in the various political identities that we hold simultaneously.  All these relations involve tension, yet at the same time they are productive.  As relational subjectivities we are always "under construction," always producing ourselves and each other.  Relational subjects are always deeply indebted to each other (McAfee 2000: 129).