mathematical modeling, extreal principles in biology and physiology, immunity.
Main publications:
Rudnev S. G., Romanyukha A. A. Mathematical modeling of immune-inflammatory reaction in acute pneumonia // J. Biol. Systems, 1995, v. 3, no. 2, p. 429–439.
Romanyukha A. A., Rudnev S. G. Matematicheskoe modelirovanie immunovospalitelnykh protsessov v legkikh. Poisk optimalnosti // Tr. Mezhd. konf. posv. 75-letiyu akademika G. I. Marchuka i 20-letiyu IVM RAN. T. 2. Moskva, 2000. S. 212–233.
Romanyukha A. A., Rudnev S. G. Variatsionnyi printsip v issledovanii protivoinfektsionnogo immuniteta na primere pnevmonii // Matem. modelirovanie, 2001, t. 13, # 8, s. 65–84.
Tekhnologii i metody opredeleniya sostava tela cheloveka / E. G. Martirosov, D. V. Nikolaev, S. G. Rudnev. - Moskva : Nauka, 2006. - 246 s.; ISBN 5-02-035624-7
O. A. Starunova, S. G. Rudnev, A. E. Ivanova, V. G. Semenova, V. I. Starodubov, “Application of Benford's law for quality assessment of preventive screening data”, Mat. Biolog. Bioinform., 17:2 (2022), 230–249
Yu. V. Vassilevski, A. A. Danilov, D. Nikolaev, S. G. Rudnev, V. U. Salamatova, A. V. Smirnov, “Finite element analysis of problems of bioimpedance diagnosis”, Zh. Vychisl. Mat. Mat. Fiz., 52:4 (2012), 733–745
S. G. Rudnev, A. A. Romanyukha, A. I. Yashin, “Modeling of t cell population development and estimation of resource allocation effectiveness”, Matem. Mod., 19:11 (2007), 25–42