Grecoinformatics is introduced as a novel computational framework designed to semantically model, integrate, and analyze Unani medical knowledge within a modern informatics environment. Rooted in the Greco-Arabic tradition, Unani medicine encompasses a complex system of concepts, terminologies, and therapeutic practices that have historically been documented in diverse textual sources. The proposed framework leverages semantic web technologies, ontology engineering, and natural language processing to formally represent Unani concepts, relationships, and diagnostic principles in a machine-interpretable manner. This enables interoperability with contemporary biomedical ontologies and facilitates cross-disciplinary knowledge discovery. By aligning traditional Unani diagnostic and treatment paradigms with structured semantic models, Grecoinformatics supports advanced applications such as intelligent clinical decision support, integrative pharmacological research, and digital preservation of traditional medical heritage. The framework also addresses challenges in data heterogeneity, terminology standardization, and multilingual text mining, paving the way for evidence-based integration of Unani medicine into global health informatics ecosystems.