PT - JOURNAL ARTICLE AU - Igor Alexeev TI - LORENZ SYSTEM IN THERMODYNAMICAL MODELLING OF LEUKEMIA AID - 10.1101/034132 DP - 2016 Jan 01 TA - bioRxiv PG - 034132 4099 - http://biorxiv.org/content/early/2016/09/14/034132.short 4100 - http://biorxiv.org/content/early/2016/09/14/034132.full AB - Graphical solutions of ordinary differential equations for simplified processes of heat flow in fluids (Lorenz system) and an idea of common mathematical description are the basis for the presented thermodynamical leukemia model. The model provides description of remission and relapse in leukemia as two hierarchical states of normal hematopoiesis. Transition between them is possible through pitchfork bifurcation which is considered as the common symmetrical mechanism for the phase space changes in leukemia and explains phenomenon of spontaneous remission. Cytopenia is considered as an adaptive reaction of hematopoiesis to entropy increase caused by leukemic clone. The following hypotheses are formulated: a) Percentage of leukemia cell in marrow for relapse or remission criterion is not a strict cut-off constant but a variable value; b) Probability of getting remission depends upon reaching bifurcation; c) Length of remission depends upon degree of eradication of leukemia cells in induction.