diff --git a/src/storage/model.cpp b/src/storage/model.cpp
index 19f1fc5..b3f824d 100644
--- a/src/storage/model.cpp
+++ b/src/storage/model.cpp
@@ -29,6 +29,7 @@
 using RationalFunction = storm::RationalFunction;
 using ModelBase = storm::models::ModelBase;
 
+template<typename ValueType> using ModelComponents = storm::storage::sparse::ModelComponents<ValueType>;
 template<typename ValueType> using SparseModel = storm::models::sparse::Model<ValueType>;
 template<typename ValueType> using SparseDtmc = storm::models::sparse::Dtmc<ValueType>;
 template<typename ValueType> using SparseMdp = storm::models::sparse::Mdp<ValueType>;
@@ -197,10 +198,12 @@ void define_sparse_model(py::module& m) {
     ;
     py::class_<SparseDtmc<double>, std::shared_ptr<SparseDtmc<double>>>(m, "SparseDtmc", "DTMC in sparse representation", model)
         .def(py::init<SparseDtmc<double>>(), py::arg("other_model"))
+        .def(py::init<ModelComponents<double> const&>(), py::arg("components")) //todo tests
         .def("__str__", &getModelInfoPrinter)
     ;
     py::class_<SparseMdp<double>, std::shared_ptr<SparseMdp<double>>> mdp(m, "SparseMdp", "MDP in sparse representation", model);
     mdp.def(py::init<SparseMdp<double>>(), py::arg("other_model"))
+        .def(py::init<ModelComponents<double> const&, storm::models::ModelType>(), py::arg("components"), py::arg("type")=storm::models::ModelType::Mdp) //todo tests
         .def_property_readonly("nondeterministic_choice_indices", [](SparseMdp<double> const& mdp) { return mdp.getNondeterministicChoiceIndices(); })
         .def("get_nr_available_actions", [](SparseMdp<double> const& mdp, uint64_t stateIndex) { return mdp.getNondeterministicChoiceIndices()[stateIndex+1] - mdp.getNondeterministicChoiceIndices()[stateIndex] ; }, py::arg("state"))
         .def("get_choice_index", [](SparseMdp<double> const& mdp, uint64_t state, uint64_t actOff) { return mdp.getNondeterministicChoiceIndices()[state]+actOff; }, py::arg("state"), py::arg("action_offset"), "gets the choice index for the offset action from the given state.")
@@ -209,6 +212,7 @@ void define_sparse_model(py::module& m) {
     ;
     py::class_<SparsePomdp<double>, std::shared_ptr<SparsePomdp<double>>>(m, "SparsePomdp", "POMDP in sparse representation", mdp)
         .def(py::init<SparsePomdp<double>>(), py::arg("other_model"))
+        .def(py::init<ModelComponents<double> const&, bool>(), py::arg("components"), py::arg("canonicFlag")=false) //todo tests
         .def("__str__", &getModelInfoPrinter)
         .def("get_observation", &SparsePomdp<double>::getObservation, py::arg("state"))
         .def_property_readonly("observations", &SparsePomdp<double>::getObservations)
@@ -216,10 +220,12 @@ void define_sparse_model(py::module& m) {
     ;
     py::class_<SparseCtmc<double>, std::shared_ptr<SparseCtmc<double>>>(m, "SparseCtmc", "CTMC in sparse representation", model)
         .def(py::init<SparseCtmc<double>>(), py::arg("other_model"))
+        .def(py::init<ModelComponents<double> const&>(), py::arg("components")) //todo tests
         .def("__str__", &getModelInfoPrinter)
     ;
     py::class_<SparseMarkovAutomaton<double>, std::shared_ptr<SparseMarkovAutomaton<double>>>(m, "SparseMA", "MA in sparse representation", model)
         .def(py::init<SparseMarkovAutomaton<double>>(), py::arg("other_model"))
+        .def(py::init<ModelComponents<double> const&>(), py::arg("components")) //todo tests
         .def_property_readonly("nondeterministic_choice_indices", [](SparseMarkovAutomaton<double> const& ma) { return ma.getNondeterministicChoiceIndices(); })
         .def("apply_scheduler", [](SparseMarkovAutomaton<double> const& ma, storm::storage::Scheduler<double> const& scheduler, bool dropUnreachableStates) { return ma.applyScheduler(scheduler, dropUnreachableStates); } , "apply scheduler", "scheduler"_a, "drop_unreachable_states"_a = true)
         .def("__str__", &getModelInfoPrinter)
@@ -228,6 +234,7 @@ void define_sparse_model(py::module& m) {
     ;
 
     py::class_<SparseRewardModel<double>>(m, "SparseRewardModel", "Reward structure for sparse models")
+        //todo init?
         .def_property_readonly("has_state_rewards", &SparseRewardModel<double>::hasStateRewards)
         .def_property_readonly("has_state_action_rewards", &SparseRewardModel<double>::hasStateActionRewards)
         .def_property_readonly("has_transition_rewards", &SparseRewardModel<double>::hasTransitionRewards)
@@ -290,6 +297,7 @@ void define_sparse_model(py::module& m) {
     ;
 
     py::class_<SparseRewardModel<RationalFunction>>(m, "SparseParametricRewardModel", "Reward structure for parametric sparse models")
+        //todo init?
         .def_property_readonly("has_state_rewards", &SparseRewardModel<RationalFunction>::hasStateRewards)
         .def_property_readonly("has_state_action_rewards", &SparseRewardModel<RationalFunction>::hasStateActionRewards)
         .def_property_readonly("has_transition_rewards", &SparseRewardModel<RationalFunction>::hasTransitionRewards)
diff --git a/src/storage/modelcomponents.cpp b/src/storage/modelcomponents.cpp
index 97536ee..83c4ec5 100644
--- a/src/storage/modelcomponents.cpp
+++ b/src/storage/modelcomponents.cpp
@@ -8,31 +8,37 @@
 
 
 
-template<typename ValueType> using SparseMatrix = storm::storage::SparseMatrix<ValueType>;
+
 using stateLabeling = storm::models::sparse::StateLabeling;
 using BitVector = storm::storage::BitVector;
+template<typename ValueType> using SparseMatrix = storm::storage::SparseMatrix<ValueType>;
+template<typename ValueType> using SparseRewardModel = storm::models::sparse::StandardRewardModel<ValueType>;
 
-template<typename ValueType> using StandardRewardModel = storm::models::sparse::StandardRewardModel<ValueType>;
-template<typename ValueType, typename RewardModelType = StandardRewardModel<ValueType>> using ModelComponents = storm::storage::sparse::ModelComponents<ValueType, RewardModelType>;
-
-// other: todo
-// <storm::RationalNumber> <double, storm::models::sparse::StandardRewardModel<storm::Interval>><storm::RationalFunction>;
-// py::class_<ModelComponents<double, StandardRewardModel<storm::Interval>>>(m, "ModelComponents", "ModelComponents description..")
+template<typename ValueType> using ModelComponents = storm::storage::sparse::ModelComponents<ValueType>;
 
+// others: todo
+// <storm::RationalFunction>;
+//
+// <storm::RationalNumber>
+// <double, storm::models::sparse::StandardRewardModel<storm::Interval>>
 
+// todo
+//  1. create constructor for sparseModels double in models.h using model comp.
+//  2. write tests
+// 3. rationalfct
 
 void define_model_components(py::module& m) {
 
     py::class_<ModelComponents<double>>(m, "ModelComponents", "ModelComponents description..")
-            .def(py::init<SparseMatrix<double> const &, stateLabeling const &, std::unordered_map<std::string, StandardRewardModel<double>> const &,
+            .def(py::init<SparseMatrix<double> const &, stateLabeling const &, std::unordered_map<std::string, SparseRewardModel<double>> const &,
                 bool, boost::optional<BitVector> const &, boost::optional<SparseMatrix<storm::storage::sparse::state_type>> const &>(),
                 "Construct from Prism program", py::arg("transition_matrix"), py::arg("state_labeling") = stateLabeling(),
-                py::arg("reward_models") =  std::unordered_map<std::string, StandardRewardModel<double>>(), py::arg("rate_transitions") = false,
+                py::arg("reward_models") =  std::unordered_map<std::string, SparseRewardModel<double>>(), py::arg("rate_transitions") = false,
                 py::arg("markovian_states") = boost::none, py::arg("player1_matrix") = boost::none)
 
             .def(py::init<>()) // for rvalue ? todo
 
-            // general components (for all model types)
+            // General components (for all model types)
             .def_readwrite("transition_matrix", &ModelComponents<double>::transitionMatrix)
             .def_readwrite("state_labeling", &ModelComponents<double>::stateLabeling)
             .def_readwrite("reward_models", &ModelComponents<double>::rewardModels, "Reward models associated with the model")
diff --git a/src/storage/modelcomponents.h b/src/storage/modelcomponents.h
index cce0999..fdccc99 100644
--- a/src/storage/modelcomponents.h
+++ b/src/storage/modelcomponents.h
@@ -3,6 +3,6 @@
 
 #include "common.h"
 
-void define_model_cmponents(py::module& m);
+void define_model_components(py::module& m);
 
 #endif /* PYSTORM_MODELCOMPONENTS_H */