Mathematical Challenges for Generative AI in Computational Biology: Cell Proliferation and the Path to LIVING AI
摘要
This paper presents the mathematical foundation for the main generative AIs currently available, both free and subscription-based. During the first two months of 2025 (January and February) and until March 9, challenges involving original and unpublished mathematical formulas titled Infinite Series with Multiple Ratios (SRMs) were presented. The proposer has been working on this research since 1996. The main objective of the paper is to present the developments of generative AI agents from OpenAI (free and paid ChatGPTs), DeepSeek R1 (a generative AI released in January 2025), Gemini Advanced 2.0 Flash (a subscription-based generative AI from Google), as well as the free generative AIs Grok 3 (from xAI), and Claude Sonnet 3.7 from Anthropic. Several challenges were posed, and this paper will focus on the challenge related to Computational Biology. The resolution occurs through original and unpublished formulas. It is believed that several fields can be impacted by SRMs. This article presents the performance of generative AIs when faced with specific questions that require advanced knowledge of mathematics and Computational Biology. There are three distinct stages. In the first, the work problem is presented with didactic support and an introduction to the conceptual part involved. In the second stage, the didactic part is removed, and in the third stage, the full article published by Indus Foundations is presented, the questions are redone and it is verified how prepared they are to discern what is being asked and how they work with the available concepts autonomously and efficiently.