Input for IMS Review: CardioMathematics
June 2009
)&, !! - ! ,&-
$ !! ($ !!"&0..2*!## ""!/. !(1 ! (0 !"! / !"!*
" ! "! # ! & !!(""!! !!&*
&( " ! $ #( &' "& ! !! !!$!# #! ! (#!!!!&! *! " !!! "!!!# " ! ! &! !!"!!($$!! ! # # ! & !! $! ! ! $ ! #! " " !!! &! #! "!*
! # !! "!! ( ! "!!$ !#!$&! #! ( !!! !! &! * !) - #( & "& ! !! "!! !" $! ! ! ! ! # !!&!* - # ! $ ! # "'( " &' "!+ "! ,&( **( - ! ! !!!# !"!"!* - " ! ! ! ! ! $! ! "!+ "! !* #- & & " ! ! & " "! !! !" %!& ! !&( **( ! ! !+ ! ! !! !" !!!! * #- ! ! !# $ ! ! !! & ! * #- ! !!( "!! ! ! " ! ## !!&!& & $! !# $ !! & % ! " ! !! ! "!&!!"*
1
Input for IMS Review: CardioMathematics
June 2009
)" ""(" " "" " ( & " & & ( !& " " & " " " (
" "
( " " " " ( "&"' +( " % ,( !* %
( " ! * $ (
! (
! ! " * ( " "" "#( " * "* " " " (
&
" "
2
Input for IMS Review: CardioMathematics
June 2009
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• )& $ (' " ,$&(' " ( "#" "& $&! # #!$ ,(- " !#&" '" #+ )' (# )' " "(&(* $$ (# ( '-'(! -"!' " + ( #!$ , *#)&#'&*')"&'(##'"!&"($"#!"#"2'$$'"(# #!$ ( ( ) $&!! (# 0 " "+ !# ' #& &&-(!2 )& "(&'$ "&- (!3' $ (- (# ( ( ) #)&"- ! ' " !(!( !# '0 (# ")!& ('( '!) (#"' " (" (# $&( " !$ !"((#"(('( * "')"%)2 • "&'("" # &&-(!#"'' ""#( #(" ! !# ' ' #" "& (,(## "(#! '$'2 #+*&0 $("(4'$ "(#!- ' " " !#'( ,'(" !# " # &&-(!2 )& $$ ' ' #" * #$" ( !(!(' # #!$)((#" "(#!-0 (" $$ -" ( (# " " "(&(* )"&'("" # #!$ , &&-(! - "(&(" #!(&- +( '((4#4(4&( !(#' #& %)'(#" " " -''# (& '" '2'+ #"()(#!$)((#" )'#"#!" (+(( " "(&& (&!'"#!"(#"+(")!& '!) (#"'# (& '" '"& '(#!(&-#&$("(4'$"(#!-2 • &* #$"($ (-(#)'#!$)((#" ("# #-#&(&$)()" " & (!2 ' &%)&' "( #!$)((#" !(#' " #&(!'0 #& + + $#'''' " ,$&(' "#( #)" !#" #(& ,'(" )$' " (' 2 #''( #!$&'#"' +#) +( 5 (!('6 " #)& # #&(#& )$' " #"' #$"'"*&'(-5#!$)((#" !""60+""*&'(-5 (!('60#
#&! )$&)&("5 (!('6""*&'(-#""5 (!('6+( +#!+&"( -#&"'#"(+#&'#$#" (!('##! !" and Computational Anatomy2
3
Input for IMS Review: CardioMathematics
June 2009
#"0+& -(#*!#& " !$(("#(&,'("$&!!'0)'2 • * ''! " "(&'$ "&- (! ! !(!('0 (#&( $-''0 #!$ ,(- '"0 !"0 #!$)((#" '" " " &# #- (( ' )"$&"( " ( " &) - +#& +3 '( !!& # ( (! ' " ')'') " #&!" "(&"(#" - " &'& )$' +(" (& #+" '0 (-* '#&#"'(#(&(((-"!#"(&)(#"(#('"((*" * (&#& &- #!!(( '""( (! (# -&6 #" '&' # + - +#&" )$!("'"& -$)(*(-#&!&"#"(' $&!!3 • )& ''! - # (' &" # ,$&(' '# )&"(' #)& (*"'' " ##$&(" +( #(& &'& (!' " ( " 3 )&" ( $'( * !#"(' '" ( $&!! " + * + - '!"&' " #")( '*& ')'') # #&(* *'(' ! '&' # " &'&&' " *&#)' '$(' # &# # !# "!(0&+0,#&0'0#"#" "4'# 0&'7 "" 80+"0# )!0 #"'#$"'0 #"(& 0(&(0 &' '" '+&3 • )&#'#$ !'"$$&!#(*(- " $$ (#"'"0&( -0 #)& #"'("( "(&'$ "&- (!+#& *' )' ( $#("( (# !) !#& (" ( )'((')!##)&$&('3 &#"'"#)&!(!( "#!$)((#" '(&"('0 + '#"#+ ( "#$)" " -!$ !"( #)(#!'##)& #!"$ ('") (!(# '3,$((#$)"#* &') ('"'(( + " - !$ !"( 3 )& " &'$ " '#" ' *( " !"("" # 6&*" $&!!3 )& " +#& ' " ''"( '$( # #)& &'& " ( #"'("( -)'#)&!(!( "#!$)((#" #&('3 • *#)&)"%)$&("&'$#!(!( "#!$)((#" &'&$ (' +( " &# #- !' )' - (# * !#& " !$( (" #(& ,'(" $&!!'+(#)(')* $&("&'$(+"!(!('"$$ (#"'3
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
Input for IMS Review: CardioMathematics
June 2009
" # # " " & % -& ! !# # " # ! +,& " ' (& .& ! " ! $ * & % -& " & .& +&&$ $ $ ,& % -& .)/ & .& . /& ". * !# & 0& " " # # & 1& # # ! & % -& # " ) ! & .& ! " ! & /& # " $ # $! & 0& ! " &
" " &
5
Input for IMS Review: CardioMathematics
June 2009
Programme leaders Prof Darryl D Holm, Mathematics (
[email protected]) Prof Nicholas S Peters, Medicine (
[email protected]) Operations leaders Prof Daniel Rueckert, Computing Prof Spencer Sherwin, Aeronautics External advisory committee chairman Prof Robert M. Kirby, School of Computing, University of Utah Postdoctoral Fellows: Dr Sehun Chen Dr Laurent Risser Dr Francois-Xavier Vialarde (arrived May 1, 2009) PhD Students Martins Bruveris David Meier (arriving September 2009) Marina Gruzd (arriving September 2009) Mres Students Eugene T Y Chang Project collaborators Prof Kim Christiansen, Physics Dr Colin J Cotter, Aeronautics Dr Sabine Ernst, Medicine (
[email protected]) Dr Darryl Francis, Medicine
6
Input for IMS Review: CardioMathematics
June 2009
Dr J Krishnan, Chemical Engineering Dr Ken T MacLeod, Medicine Dr Mark O’Neil, Medicine Dr Nick Linton, Medicine Dr Riyaz Kaba, Medicine Prof Michael D Schneider, Medicine Dr Jennifer Siggers, Bioengineering Prof Cesare M N Terracciano, Medicine
# Prof R. M. Kirby, Computing, University of Utah (9 months, Oct 2008 – July 2009) Prof James Keener, Electrophysiology, University of Utah (1 week, April, 2009) Prof Leon Glass, Electrophysiology, University of Montreal (1 week, May 2008)
$
Focused Research Workshop on “
Computational Anatomy”, held April 19-22, 2009, at Annapolis, MD, USA.
and
% Grant applications made to: 1. EPSRC Bridge the Gaps Initiative (declined at Imperial College level); 2. LeDucq (declined after making the final short list); 3. BHF New Horizons (pending).
"! The Euler-Poincaré theory of metamorphosis, Darryl D. Holm, Alain Trouvé, Laurent Younes, Quart. Appl. Math and Mech. To appear, 2009. Subjects: Computer vision and pattern recognition for imaging science. http://arxiv.org/abs/0806.0870 Optimal control of ideal fluids by metamorphosis, Darryl D. Holm, Subjects: Nonlinear dynamics and optimal control of continuum flows. Submitted to Phys. Rev. Lett. http://arxiv.org/abs/0904.4289
7