This chapter introduces the Model of Interactional Pathos in Argumentation (MIPA), a new theoretical framework for analyzing emotional appeals as intentional, context-sensitive speech acts. Drawing on cognitive pragmatics, particularly Relevance Theory, as well as contemporary developments in argumentation theory, the chapter argues that pathos should be understood as an interactional event occurring between speaker and audience. Emotional appeals are conceptualized as pragmatic acts that seek to increase the perceived strength of an argument by eliciting emotions in the hearer. The chapter further explores the linguistic realization of pathos through pathos-related argument schemes and discusses how these can be operationalized using both manual and computational methods. The theory of speech acts provides the foundation for this model, distinguishing between the intention of the speaker, the linguistic realization and the response of the audience. Emphasizing the integration of emotion, argument, and pragmatics, the model provides foundations for empirical research on emotional appeals in natural language discourse. The chapter concludes with an annotation study of political debates, demonstrating how MIPA supports systematic analysis of pathos in real-world argumentation.