Shah was born in Pakistan and had moved to Islamabad for his studies. He attended the jubilant and newly founded university, the Quaid-i-Azam University where he received his undergraduate degree in mathematics from there. He did his MSc, M. Phil. from Quaid-I-Azam University, followed by his DPhil in mathematics from University of Oxford, United Kingdom. His doctoral thesis were written on "Analysis of Multi-Grid Methods, design, theory and development of Algo.". M. Shah came back to Pakistan, after the 1971 Winter War where he joined his alma mater, Quaid-i-Azam University. His early research were mainly focused and emphasised on Fluid and Aerodynamics. In 1972, M. Shah was introduced by Asghar Qadir to Dr. Abdus Salam, where Professor Salam had delegated M. Shah to Pakistan Atomic Energy Commission where he had closely collaborated with Dr. Riazuddin and Dr. Asghar Qadir in the development of the nuclear device. At the end of 1975, Dr. A. Qadeer Khan had brought the drawings of the Zippe-type centrifuges, which according to Dr. Ghulam Dastagir Alam, were incomplete and the drawings of the centrifuge machine were incorrect. Dr. Anwar Ali then contacted Hafeez Qureshi to re-design and work out the solution of the Centrifuge machine. Hafeez Qureshi informed Munir Ahmad Khan about the problem faced by the KRL scientists. Tasneem Mohammad Shah who specialised in Fluid dynamics from Oxford, was named by Dr. Abdus Salam for the gas-centrifuge project when Munir Ahmad Khan and Hafeez Qureshi consulted with him. In 1975, Anwar Ali and Dr. G.D. Alam had met with Tasneem Shah in Islamabad, and Shah, with the full backing of Abdus Salam, was accompanied by Dr. G. D. Alam to a secret project in Kahuta in 1975. The following years, M. Shah had joined Abdul Qadeer Khan's then-known as Engineering Research Laboratories from its beginning years. Trained as an applied mathematician, Shah was an instrumental carrying out the experimental and theoretical research at KRL. He was the founder and had served as the first director of the Computational Fluid Dynamics Division at the KRL. In particular, he had developed the expertise techniques in fluid explosions—phenomena which are difficult to model mathematically. M. Shah, a pioneer in fluid dynamics, had used complex integrations, and mathematical methods to developed the sustainable method for the gas-centrifuges which he published his work at the KRL. He gained fame in the research laboratory when Dr. M. Shah had mathematically modelled the fluid system in a Zippe-type centrifuge, and have had improved the technology that was brought by Dr. Abdul Qadeer Khan in the mid 1970s. His developed theories and the experimental research led to an improvement in the devices, and KRL had developed the advanced and newer versions of the Zippe-type technology as P-1 and P-2. M. Shah's principal contribution to the gas-centrifuge program was the rotational dynamics of the 235U by using the complex and difficult applications of Washer and Shell integrations. Dr. T. M. Shah was one of the key scientist who had helped developing the Inertial and Thermal system of the Ghauri missile system series. He had laid down the ground work of the Liquid-propellant rocketry system and formulated the various mathematical theories of the rocket science. On 28 May 1998, with numerous other KRL and PAEC weapon scientists, M. Shah was an eyewitness to the first atomic weapons testing, at Ras Koh Hills near at Chagai Hills. He, along with other scientists, was conferred with high civilian awards in 1998, and in 1999. After serving in KRL for more than 27 years, M. Shah had begun providing training and teaching at the KRL to the field of Fluid dynamics. He established the Department of Cryptology at NUST whereas he served as its first director. He also established the first IT University in private corporate sector and become the first Rector of KASBIT, Karachi. He remained Dean, Faculty of Computer Sciences at Bahria University and established an Integrated Scientific and Industrial Software house for contract research. He is the author of 14 Research papers. He is also working for establishment of an HEC project, "National Institute of Vacuum Science and technology".
