## In the present work we first derive the analytical multiplet

For convenience we shall now state the results because it Poziotinib is valuable to see where we are heading as we move through the derivation, and it provide the opportunity to define the notation for the model parameters The expectation values for the reduced factorial multiplets up to 5th order satisfy the following relationships:equation(2)R1=FS(εML)1[νS1(1+α)]equation(3)R2=FS(εML)22[νS2+νS1(1+α)νI2(ML−1νI1−1)]equation(4)R3=FS(εML)36[νS3+(νS1(1+α)νI3+3νS2νI2)(ML−1νI1−1)+3νS1(1+α)νI22(ML−1νI1−1)2]equation(5)R4=FS(εML)424[νS4+(νS1(1+α)νI4+4νS2νI3+6νS3νI2)(ML−1νI1−1)+(10νS1(1+α)νI2νI3+15νS2νI22)(ML−1νI1−1)2+15νS1(1+α)νI23(ML−1νI1−1)3]equation(6)R5=FS(εML)5120[νS5+(νS1(1+α)νI5+5νS2νI4+10νS3νI3+10νS4νI2)(ML−1νI1−1)+(νS1(1+α)(15νI2νI4+10νI23)+60νS2νI2νI3+45νS3νI22)(ML−1νI1−1)2+(105νS1(1+α)νI22νI3+105νS2νI23)(ML−1νI1−1)3+105νS1(1+α)νI24(ML−1νI1−1)4]In amoebocytes expressions the following definitions apply.